1,1,9,0,0.427300," ","integrate(exp(x)/(4+6*exp(x)),x, algorithm=""maxima"")","\frac{1}{6} \, \log\left(3 \, e^{x} + 2\right)"," ",0,"1/6*log(3*e^x + 2)","A",0
2,1,11,0,0.423950," ","integrate(exp(x)/(a+b*exp(x)),x, algorithm=""maxima"")","\frac{\log\left(b e^{x} + a\right)}{b}"," ",0,"log(b*e^x + a)/b","A",0
3,1,22,0,0.435185," ","integrate(exp(d*x)/(a+b*exp(d*x+c)),x, algorithm=""maxima"")","\frac{e^{\left(-c\right)} \log\left(b e^{\left(d x + c\right)} + a\right)}{b d}"," ",0,"e^(-c)*log(b*e^(d*x + c) + a)/(b*d)","A",0
4,1,18,0,0.431801," ","integrate(exp(d*x+c)/(a+b*exp(d*x+c)),x, algorithm=""maxima"")","\frac{\log\left(b e^{\left(d x + c\right)} + a\right)}{b d}"," ",0,"log(b*e^(d*x + c) + a)/(b*d)","A",0
5,1,19,0,0.431723," ","integrate(exp(x)*(a+b*exp(x))^n,x, algorithm=""maxima"")","\frac{{\left(b e^{x} + a\right)}^{n + 1}}{b {\left(n + 1\right)}}"," ",0,"(b*e^x + a)^(n + 1)/(b*(n + 1))","A",0
6,1,30,0,0.436906," ","integrate(exp(d*x)*(a+b*exp(d*x+c))^n,x, algorithm=""maxima"")","\frac{{\left(b e^{\left(d x + c\right)} + a\right)}^{n + 1} e^{\left(-c\right)}}{b d {\left(n + 1\right)}}"," ",0,"(b*e^(d*x + c) + a)^(n + 1)*e^(-c)/(b*d*(n + 1))","A",0
7,1,26,0,0.429806," ","integrate(exp(d*x+c)*(a+b*exp(d*x+c))^n,x, algorithm=""maxima"")","\frac{{\left(b e^{\left(d x + c\right)} + a\right)}^{n + 1}}{b d {\left(n + 1\right)}}"," ",0,"(b*e^(d*x + c) + a)^(n + 1)/(b*d*(n + 1))","A",0
8,1,16,0,0.431741," ","integrate(F^x/(a+b*F^x),x, algorithm=""maxima"")","\frac{\log\left(F^{x} b + a\right)}{b \log\left(F\right)}"," ",0,"log(F^x*b + a)/(b*log(F))","A",0
9,1,28,0,0.433752," ","integrate(F^(d*x)/(a+b*F^(d*x+c)),x, algorithm=""maxima"")","\frac{\log\left(F^{d x + c} b + a\right)}{F^{c} b d \log\left(F\right)}"," ",0,"log(F^(d*x + c)*b + a)/(F^c*b*d*log(F))","A",0
10,1,23,0,0.433659," ","integrate(F^(d*x+c)/(a+b*F^(d*x+c)),x, algorithm=""maxima"")","\frac{\log\left(F^{d x + c} b + a\right)}{b d \log\left(F\right)}"," ",0,"log(F^(d*x + c)*b + a)/(b*d*log(F))","A",0
11,1,24,0,0.429999," ","integrate(F^x*(a+b*F^x)^n,x, algorithm=""maxima"")","\frac{{\left(F^{x} b + a\right)}^{n + 1}}{b {\left(n + 1\right)} \log\left(F\right)}"," ",0,"(F^x*b + a)^(n + 1)/(b*(n + 1)*log(F))","A",0
12,1,36,0,0.438570," ","integrate(F^(d*x)*(a+b*F^(d*x+c))^n,x, algorithm=""maxima"")","\frac{{\left(F^{d x + c} b + a\right)}^{n + 1}}{F^{c} b d {\left(n + 1\right)} \log\left(F\right)}"," ",0,"(F^(d*x + c)*b + a)^(n + 1)/(F^c*b*d*(n + 1)*log(F))","A",0
13,1,31,0,0.435877," ","integrate(F^(d*x+c)*(a+b*F^(d*x+c))^n,x, algorithm=""maxima"")","\frac{{\left(F^{d x + c} b + a\right)}^{n + 1}}{b d {\left(n + 1\right)} \log\left(F\right)}"," ",0,"(F^(d*x + c)*b + a)^(n + 1)/(b*d*(n + 1)*log(F))","A",0
14,1,24,0,0.437653," ","integrate(exp(x)^n*(a+b*exp(x)^n)^p,x, algorithm=""maxima"")","\frac{{\left(b e^{\left(n x\right)} + a\right)}^{p + 1}}{b n {\left(p + 1\right)}}"," ",0,"(b*e^(n*x) + a)^(p + 1)/(b*n*(p + 1))","A",0
15,1,24,0,0.442710," ","integrate(exp(n*x)*(a+b*exp(x)^n)^p,x, algorithm=""maxima"")","\frac{{\left(b e^{\left(n x\right)} + a\right)}^{p + 1}}{b n {\left(p + 1\right)}}"," ",0,"(b*e^(n*x) + a)^(p + 1)/(b*n*(p + 1))","A",0
16,1,41,0,0.440688," ","integrate((F^(e*(d*x+c)))^n*(a+b*(F^(e*(d*x+c)))^n)^p,x, algorithm=""maxima"")","\frac{{\left({\left(F^{{\left(d x + c\right)} e}\right)}^{n} b + a\right)}^{p + 1}}{b d e n {\left(p + 1\right)} \log\left(F\right)}"," ",0,"((F^((d*x + c)*e))^n*b + a)^(p + 1)/(b*d*e*n*(p + 1)*log(F))","A",0
17,0,0,0,0.000000," ","integrate((a+b*(F^(e*(d*x+c)))^n)^p*(G^(h*(g*x+f)))^(d*e*n*log(F)/g/h/log(G)),x, algorithm=""maxima"")","\int {\left({\left(F^{{\left(d x + c\right)} e}\right)}^{n} b + a\right)}^{p} {\left(G^{{\left(g x + f\right)} h}\right)}^{\frac{d e n \log\left(F\right)}{g h \log\left(G\right)}}\,{d x}"," ",0,"integrate(((F^((d*x + c)*e))^n*b + a)^p*(G^((g*x + f)*h))^(d*e*n*log(F)/(g*h*log(G))), x)","F",0
18,1,20,0,0.437336," ","integrate(exp(2*x)/(a+b*exp(x)),x, algorithm=""maxima"")","\frac{e^{x}}{b} - \frac{a \log\left(b e^{x} + a\right)}{b^{2}}"," ",0,"e^x/b - a*log(b*e^x + a)/b^2","A",0
19,1,28,0,0.438273," ","integrate(exp(2*x)/(a+b*exp(x))^2,x, algorithm=""maxima"")","\frac{a}{b^{3} e^{x} + a b^{2}} + \frac{\log\left(b e^{x} + a\right)}{b^{2}}"," ",0,"a/(b^3*e^x + a*b^2) + log(b*e^x + a)/b^2","A",0
20,1,61,0,0.478023," ","integrate(exp(2*x)/(a+b*exp(x))^3,x, algorithm=""maxima"")","-\frac{b e^{x}}{b^{4} e^{\left(2 \, x\right)} + 2 \, a b^{3} e^{x} + a^{2} b^{2}} - \frac{a}{2 \, {\left(b^{4} e^{\left(2 \, x\right)} + 2 \, a b^{3} e^{x} + a^{2} b^{2}\right)}}"," ",0,"-b*e^x/(b^4*e^(2*x) + 2*a*b^3*e^x + a^2*b^2) - 1/2*a/(b^4*e^(2*x) + 2*a*b^3*e^x + a^2*b^2)","B",0
21,1,85,0,0.459953," ","integrate(exp(2*x)/(a+b*exp(x))^4,x, algorithm=""maxima"")","-\frac{b e^{x}}{2 \, {\left(b^{5} e^{\left(3 \, x\right)} + 3 \, a b^{4} e^{\left(2 \, x\right)} + 3 \, a^{2} b^{3} e^{x} + a^{3} b^{2}\right)}} - \frac{a}{6 \, {\left(b^{5} e^{\left(3 \, x\right)} + 3 \, a b^{4} e^{\left(2 \, x\right)} + 3 \, a^{2} b^{3} e^{x} + a^{3} b^{2}\right)}}"," ",0,"-1/2*b*e^x/(b^5*e^(3*x) + 3*a*b^4*e^(2*x) + 3*a^2*b^3*e^x + a^3*b^2) - 1/6*a/(b^5*e^(3*x) + 3*a*b^4*e^(2*x) + 3*a^2*b^3*e^x + a^3*b^2)","B",0
22,1,25,0,0.438697," ","integrate(exp(4*x)/(a+b*exp(2*x)),x, algorithm=""maxima"")","\frac{e^{\left(2 \, x\right)}}{2 \, b} - \frac{a \log\left(b e^{\left(2 \, x\right)} + a\right)}{2 \, b^{2}}"," ",0,"1/2*e^(2*x)/b - 1/2*a*log(b*e^(2*x) + a)/b^2","A",0
23,1,34,0,0.435724," ","integrate(exp(4*x)/(a+b*exp(2*x))^2,x, algorithm=""maxima"")","\frac{a}{2 \, {\left(b^{3} e^{\left(2 \, x\right)} + a b^{2}\right)}} + \frac{\log\left(b e^{\left(2 \, x\right)} + a\right)}{2 \, b^{2}}"," ",0,"1/2*a/(b^3*e^(2*x) + a*b^2) + 1/2*log(b*e^(2*x) + a)/b^2","A",0
24,1,67,0,0.463406," ","integrate(exp(4*x)/(a+b*exp(2*x))^3,x, algorithm=""maxima"")","-\frac{b e^{\left(2 \, x\right)}}{2 \, {\left(b^{4} e^{\left(4 \, x\right)} + 2 \, a b^{3} e^{\left(2 \, x\right)} + a^{2} b^{2}\right)}} - \frac{a}{4 \, {\left(b^{4} e^{\left(4 \, x\right)} + 2 \, a b^{3} e^{\left(2 \, x\right)} + a^{2} b^{2}\right)}}"," ",0,"-1/2*b*e^(2*x)/(b^4*e^(4*x) + 2*a*b^3*e^(2*x) + a^2*b^2) - 1/4*a/(b^4*e^(4*x) + 2*a*b^3*e^(2*x) + a^2*b^2)","B",0
25,1,91,0,0.676656," ","integrate(exp(4*x)/(a+b*exp(2*x))^4,x, algorithm=""maxima"")","-\frac{b e^{\left(2 \, x\right)}}{4 \, {\left(b^{5} e^{\left(6 \, x\right)} + 3 \, a b^{4} e^{\left(4 \, x\right)} + 3 \, a^{2} b^{3} e^{\left(2 \, x\right)} + a^{3} b^{2}\right)}} - \frac{a}{12 \, {\left(b^{5} e^{\left(6 \, x\right)} + 3 \, a b^{4} e^{\left(4 \, x\right)} + 3 \, a^{2} b^{3} e^{\left(2 \, x\right)} + a^{3} b^{2}\right)}}"," ",0,"-1/4*b*e^(2*x)/(b^5*e^(6*x) + 3*a*b^4*e^(4*x) + 3*a^2*b^3*e^(2*x) + a^3*b^2) - 1/12*a/(b^5*e^(6*x) + 3*a*b^4*e^(4*x) + 3*a^2*b^3*e^(2*x) + a^3*b^2)","B",0
26,1,32,0,0.627593," ","integrate(exp(4*x)/(a+b*exp(2*x))^(2/3),x, algorithm=""maxima"")","\frac{3 \, {\left(b e^{\left(2 \, x\right)} + a\right)}^{\frac{4}{3}}}{8 \, b^{2}} - \frac{3 \, {\left(b e^{\left(2 \, x\right)} + a\right)}^{\frac{1}{3}} a}{2 \, b^{2}}"," ",0,"3/8*(b*e^(2*x) + a)^(4/3)/b^2 - 3/2*(b*e^(2*x) + a)^(1/3)*a/b^2","A",0
27,1,15,0,0.691344," ","integrate((a+b*exp(n*x))/exp(n*x),x, algorithm=""maxima"")","b x - \frac{a e^{\left(-n x\right)}}{n}"," ",0,"b*x - a*e^(-n*x)/n","A",0
28,1,30,0,0.681018," ","integrate((a+b*exp(n*x))^2/exp(n*x),x, algorithm=""maxima"")","2 \, a b x + \frac{b^{2} e^{\left(n x\right)}}{n} - \frac{a^{2} e^{\left(-n x\right)}}{n}"," ",0,"2*a*b*x + b^2*e^(n*x)/n - a^2*e^(-n*x)/n","A",0
29,1,47,0,0.440154," ","integrate((a+b*exp(n*x))^3/exp(n*x),x, algorithm=""maxima"")","3 \, a^{2} b x + \frac{b^{3} e^{\left(2 \, n x\right)}}{2 \, n} + \frac{3 \, a b^{2} e^{\left(n x\right)}}{n} - \frac{a^{3} e^{\left(-n x\right)}}{n}"," ",0,"3*a^2*b*x + 1/2*b^3*e^(2*n*x)/n + 3*a*b^2*e^(n*x)/n - a^3*e^(-n*x)/n","A",0
30,1,32,0,0.434604," ","integrate(1/exp(n*x)/(a+b*exp(n*x)),x, algorithm=""maxima"")","-\frac{e^{\left(-n x\right)}}{a n} + \frac{b \log\left(a e^{\left(-n x\right)} + b\right)}{a^{2} n}"," ",0,"-e^(-n*x)/(a*n) + b*log(a*e^(-n*x) + b)/(a^2*n)","A",0
31,1,57,0,0.439751," ","integrate(1/exp(n*x)/(a+b*exp(n*x))^2,x, algorithm=""maxima"")","\frac{b^{2}}{{\left(a^{4} e^{\left(-n x\right)} + a^{3} b\right)} n} - \frac{e^{\left(-n x\right)}}{a^{2} n} + \frac{2 \, b \log\left(a e^{\left(-n x\right)} + b\right)}{a^{3} n}"," ",0,"b^2/((a^4*e^(-n*x) + a^3*b)*n) - e^(-n*x)/(a^2*n) + 2*b*log(a*e^(-n*x) + b)/(a^3*n)","A",0
32,1,85,0,0.632841," ","integrate(1/exp(n*x)/(a+b*exp(n*x))^3,x, algorithm=""maxima"")","\frac{6 \, a b^{2} e^{\left(-n x\right)} + 5 \, b^{3}}{2 \, {\left(2 \, a^{5} b e^{\left(-n x\right)} + a^{6} e^{\left(-2 \, n x\right)} + a^{4} b^{2}\right)} n} - \frac{e^{\left(-n x\right)}}{a^{3} n} + \frac{3 \, b \log\left(a e^{\left(-n x\right)} + b\right)}{a^{4} n}"," ",0,"1/2*(6*a*b^2*e^(-n*x) + 5*b^3)/((2*a^5*b*e^(-n*x) + a^6*e^(-2*n*x) + a^4*b^2)*n) - e^(-n*x)/(a^3*n) + 3*b*log(a*e^(-n*x) + b)/(a^4*n)","A",0
33,1,45,0,1.005057," ","integrate(f^(b*x+a)/(c+d*f^(2*b*x+e)),x, algorithm=""maxima"")","\frac{f^{a} \arctan\left(\frac{d f^{b x + e}}{\sqrt{c d} f^{\frac{1}{2} \, e}}\right)}{\sqrt{c d} b f^{\frac{1}{2} \, e} \log\left(f\right)}"," ",0,"f^a*arctan(d*f^(b*x + e)/(sqrt(c*d)*f^(1/2*e)))/(sqrt(c*d)*b*f^(1/2*e)*log(f))","A",0
34,1,32,0,0.434516," ","integrate(f^(2*b*x+a)/(c+d*f^(2*b*x+e)),x, algorithm=""maxima"")","\frac{f^{a - e} \log\left(d f^{2 \, b x + e} + c\right)}{2 \, b d \log\left(f\right)}"," ",0,"1/2*f^(a - e)*log(d*f^(2*b*x + e) + c)/(b*d*log(f))","A",0
35,1,76,0,0.999197," ","integrate(f^(3*b*x+a)/(c+d*f^(2*b*x+e)),x, algorithm=""maxima"")","-\frac{c f^{a - e} \arctan\left(\frac{d f^{b x + e}}{\sqrt{c d} f^{\frac{1}{2} \, e}}\right)}{\sqrt{c d} b d f^{\frac{1}{2} \, e} \log\left(f\right)} + \frac{f^{b x + a - e}}{b d \log\left(f\right)}"," ",0,"-c*f^(a - e)*arctan(d*f^(b*x + e)/(sqrt(c*d)*f^(1/2*e)))/(sqrt(c*d)*b*d*f^(1/2*e)*log(f)) + f^(b*x + a - e)/(b*d*log(f))","A",0
36,1,65,0,0.449742," ","integrate(f^(4*b*x+a)/(c+d*f^(2*b*x+e)),x, algorithm=""maxima"")","-\frac{c f^{a - 2 \, e} \log\left(d f^{2 \, b x + e} + c\right)}{2 \, b d^{2} \log\left(f\right)} + \frac{{\left(d f^{2 \, b x + e} + c\right)} f^{a - 2 \, e}}{2 \, b d^{2} \log\left(f\right)}"," ",0,"-1/2*c*f^(a - 2*e)*log(d*f^(2*b*x + e) + c)/(b*d^2*log(f)) + 1/2*(d*f^(2*b*x + e) + c)*f^(a - 2*e)/(b*d^2*log(f))","A",0
37,1,97,0,0.971200," ","integrate(f^(5*b*x+a)/(c+d*f^(2*b*x+e)),x, algorithm=""maxima"")","\frac{c^{2} f^{a - 2 \, e} \arctan\left(\frac{d f^{b x + e}}{\sqrt{c d} f^{\frac{1}{2} \, e}}\right)}{\sqrt{c d} b d^{2} f^{\frac{1}{2} \, e} \log\left(f\right)} + \frac{d f^{3 \, b x + a + e} - 3 \, c f^{b x + a}}{3 \, b d^{2} f^{2 \, e} \log\left(f\right)}"," ",0,"c^2*f^(a - 2*e)*arctan(d*f^(b*x + e)/(sqrt(c*d)*f^(1/2*e)))/(sqrt(c*d)*b*d^2*f^(1/2*e)*log(f)) + 1/3*(d*f^(3*b*x + a + e) - 3*c*f^(b*x + a))/(b*d^2*f^(2*e)*log(f))","A",0
38,1,3,0,0.972189," ","integrate(exp(x)/(1+exp(2*x)),x, algorithm=""maxima"")","\arctan\left(e^{x}\right)"," ",0,"arctan(e^x)","A",0
39,1,15,0,0.440563," ","integrate(exp(x)/(1-exp(2*x)),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(e^{x} + 1\right) - \frac{1}{2} \, \log\left(e^{x} - 1\right)"," ",0,"1/2*log(e^x + 1) - 1/2*log(e^x - 1)","B",0
40,1,31,0,0.450532," ","integrate(exp(x)*x/(1-exp(2*x)),x, algorithm=""maxima"")","\frac{1}{2} \, x \log\left(e^{x} + 1\right) - \frac{1}{2} \, x \log\left(-e^{x} + 1\right) + \frac{1}{2} \, {\rm Li}_2\left(-e^{x}\right) - \frac{1}{2} \, {\rm Li}_2\left(e^{x}\right)"," ",0,"1/2*x*log(e^x + 1) - 1/2*x*log(-e^x + 1) + 1/2*dilog(-e^x) - 1/2*dilog(e^x)","A",0
41,1,48,0,0.450402," ","integrate(exp(x)*x^2/(1-exp(2*x)),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} \log\left(e^{x} + 1\right) - \frac{1}{2} \, x^{2} \log\left(-e^{x} + 1\right) + x {\rm Li}_2\left(-e^{x}\right) - x {\rm Li}_2\left(e^{x}\right) - {\rm Li}_{3}(-e^{x}) + {\rm Li}_{3}(e^{x})"," ",0,"1/2*x^2*log(e^x + 1) - 1/2*x^2*log(-e^x + 1) + x*dilog(-e^x) - x*dilog(e^x) - polylog(3, -e^x) + polylog(3, e^x)","A",0
42,1,71,0,0.474719," ","integrate(exp(x)*x^3/(1-exp(2*x)),x, algorithm=""maxima"")","\frac{1}{2} \, x^{3} \log\left(e^{x} + 1\right) - \frac{1}{2} \, x^{3} \log\left(-e^{x} + 1\right) + \frac{3}{2} \, x^{2} {\rm Li}_2\left(-e^{x}\right) - \frac{3}{2} \, x^{2} {\rm Li}_2\left(e^{x}\right) - 3 \, x {\rm Li}_{3}(-e^{x}) + 3 \, x {\rm Li}_{3}(e^{x}) + 3 \, {\rm Li}_{4}(-e^{x}) - 3 \, {\rm Li}_{4}(e^{x})"," ",0,"1/2*x^3*log(e^x + 1) - 1/2*x^3*log(-e^x + 1) + 3/2*x^2*dilog(-e^x) - 3/2*x^2*dilog(e^x) - 3*x*polylog(3, -e^x) + 3*x*polylog(3, e^x) + 3*polylog(4, -e^x) - 3*polylog(4, e^x)","A",0
43,1,21,0,1.011273," ","integrate(f^x/(a+b*f^(2*x)),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{b f^{x}}{\sqrt{a b}}\right)}{\sqrt{a b} \log\left(f\right)}"," ",0,"arctan(b*f^x/sqrt(a*b))/(sqrt(a*b)*log(f))","A",0
44,0,0,0,0.000000," ","integrate(f^x*x/(a+b*f^(2*x)),x, algorithm=""maxima"")","\int \frac{f^{x} x}{b f^{2 \, x} + a}\,{d x}"," ",0,"integrate(f^x*x/(b*f^(2*x) + a), x)","F",0
45,0,0,0,0.000000," ","integrate(f^x*x^2/(a+b*f^(2*x)),x, algorithm=""maxima"")","\int \frac{f^{x} x^{2}}{b f^{2 \, x} + a}\,{d x}"," ",0,"integrate(f^x*x^2/(b*f^(2*x) + a), x)","F",0
46,0,0,0,0.000000," ","integrate(f^x*x^3/(a+b*f^(2*x)),x, algorithm=""maxima"")","\int \frac{f^{x} x^{3}}{b f^{2 \, x} + a}\,{d x}"," ",0,"integrate(f^x*x^3/(b*f^(2*x) + a), x)","F",0
47,1,49,0,0.970388," ","integrate(f^x/(a+b*f^(2*x))^2,x, algorithm=""maxima"")","\frac{f^{x}}{2 \, {\left(a b f^{2 \, x} + a^{2}\right)} \log\left(f\right)} + \frac{\arctan\left(\frac{b f^{x}}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} a \log\left(f\right)}"," ",0,"1/2*f^x/((a*b*f^(2*x) + a^2)*log(f)) + 1/2*arctan(b*f^x/sqrt(a*b))/(sqrt(a*b)*a*log(f))","A",0
48,0,0,0,0.000000," ","integrate(f^x*x/(a+b*f^(2*x))^2,x, algorithm=""maxima"")","\frac{f^{x} x}{2 \, {\left(a b f^{2 \, x} \log\left(f\right) + a^{2} \log\left(f\right)\right)}} + \int \frac{{\left(x \log\left(f\right) - 1\right)} f^{x}}{2 \, {\left(a b f^{2 \, x} \log\left(f\right) + a^{2} \log\left(f\right)\right)}}\,{d x}"," ",0,"1/2*f^x*x/(a*b*f^(2*x)*log(f) + a^2*log(f)) + integrate(1/2*(x*log(f) - 1)*f^x/(a*b*f^(2*x)*log(f) + a^2*log(f)), x)","F",0
49,0,0,0,0.000000," ","integrate(f^x*x^2/(a+b*f^(2*x))^2,x, algorithm=""maxima"")","\frac{f^{x} x^{2}}{2 \, {\left(a b f^{2 \, x} \log\left(f\right) + a^{2} \log\left(f\right)\right)}} + \int \frac{{\left(x^{2} \log\left(f\right) - 2 \, x\right)} f^{x}}{2 \, {\left(a b f^{2 \, x} \log\left(f\right) + a^{2} \log\left(f\right)\right)}}\,{d x}"," ",0,"1/2*f^x*x^2/(a*b*f^(2*x)*log(f) + a^2*log(f)) + integrate(1/2*(x^2*log(f) - 2*x)*f^x/(a*b*f^(2*x)*log(f) + a^2*log(f)), x)","F",0
50,0,0,0,0.000000," ","integrate(f^x*x^3/(a+b*f^(2*x))^2,x, algorithm=""maxima"")","\frac{f^{x} x^{3}}{2 \, {\left(a b f^{2 \, x} \log\left(f\right) + a^{2} \log\left(f\right)\right)}} + \int \frac{{\left(x^{3} \log\left(f\right) - 3 \, x^{2}\right)} f^{x}}{2 \, {\left(a b f^{2 \, x} \log\left(f\right) + a^{2} \log\left(f\right)\right)}}\,{d x}"," ",0,"1/2*f^x*x^3/(a*b*f^(2*x)*log(f) + a^2*log(f)) + integrate(1/2*(x^3*log(f) - 3*x^2)*f^x/(a*b*f^(2*x)*log(f) + a^2*log(f)), x)","F",0
51,1,76,0,0.982648," ","integrate(f^x/(a+b*f^(2*x))^3,x, algorithm=""maxima"")","\frac{3 \, b f^{3 \, x} + 5 \, a f^{x}}{8 \, {\left(a^{2} b^{2} f^{4 \, x} + 2 \, a^{3} b f^{2 \, x} + a^{4}\right)} \log\left(f\right)} + \frac{3 \, \arctan\left(\frac{b f^{x}}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a^{2} \log\left(f\right)}"," ",0,"1/8*(3*b*f^(3*x) + 5*a*f^x)/((a^2*b^2*f^(4*x) + 2*a^3*b*f^(2*x) + a^4)*log(f)) + 3/8*arctan(b*f^x/sqrt(a*b))/(sqrt(a*b)*a^2*log(f))","A",0
52,0,0,0,0.000000," ","integrate(f^x*x/(a+b*f^(2*x))^3,x, algorithm=""maxima"")","\frac{{\left(3 \, b x \log\left(f\right) - b\right)} f^{3 \, x} + {\left(5 \, a x \log\left(f\right) - a\right)} f^{x}}{8 \, {\left(a^{2} b^{2} f^{4 \, x} \log\left(f\right)^{2} + 2 \, a^{3} b f^{2 \, x} \log\left(f\right)^{2} + a^{4} \log\left(f\right)^{2}\right)}} + \int \frac{{\left(3 \, x \log\left(f\right) - 4\right)} f^{x}}{8 \, {\left(a^{2} b f^{2 \, x} \log\left(f\right) + a^{3} \log\left(f\right)\right)}}\,{d x}"," ",0,"1/8*((3*b*x*log(f) - b)*f^(3*x) + (5*a*x*log(f) - a)*f^x)/(a^2*b^2*f^(4*x)*log(f)^2 + 2*a^3*b*f^(2*x)*log(f)^2 + a^4*log(f)^2) + integrate(1/8*(3*x*log(f) - 4)*f^x/(a^2*b*f^(2*x)*log(f) + a^3*log(f)), x)","F",0
53,0,0,0,0.000000," ","integrate(f^x*x^2/(a+b*f^(2*x))^3,x, algorithm=""maxima"")","\frac{{\left(3 \, b x^{2} \log\left(f\right) - 2 \, b x\right)} f^{3 \, x} + {\left(5 \, a x^{2} \log\left(f\right) - 2 \, a x\right)} f^{x}}{8 \, {\left(a^{2} b^{2} f^{4 \, x} \log\left(f\right)^{2} + 2 \, a^{3} b f^{2 \, x} \log\left(f\right)^{2} + a^{4} \log\left(f\right)^{2}\right)}} + \int \frac{{\left(3 \, x^{2} \log\left(f\right)^{2} - 8 \, x \log\left(f\right) + 2\right)} f^{x}}{8 \, {\left(a^{2} b f^{2 \, x} \log\left(f\right)^{2} + a^{3} \log\left(f\right)^{2}\right)}}\,{d x}"," ",0,"1/8*((3*b*x^2*log(f) - 2*b*x)*f^(3*x) + (5*a*x^2*log(f) - 2*a*x)*f^x)/(a^2*b^2*f^(4*x)*log(f)^2 + 2*a^3*b*f^(2*x)*log(f)^2 + a^4*log(f)^2) + integrate(1/8*(3*x^2*log(f)^2 - 8*x*log(f) + 2)*f^x/(a^2*b*f^(2*x)*log(f)^2 + a^3*log(f)^2), x)","F",0
54,1,24,0,0.970052," ","integrate(1/(b/(f^x)+a*f^x),x, algorithm=""maxima"")","-\frac{\arctan\left(\frac{b}{\sqrt{a b} f^{x}}\right)}{\sqrt{a b} \log\left(f\right)}"," ",0,"-arctan(b/(sqrt(a*b)*f^x))/(sqrt(a*b)*log(f))","A",0
55,0,0,0,0.000000," ","integrate(x/(b/(f^x)+a*f^x),x, algorithm=""maxima"")","\int \frac{x}{a f^{x} + \frac{b}{f^{x}}}\,{d x}"," ",0,"integrate(x/(a*f^x + b/f^x), x)","F",0
56,0,0,0,0.000000," ","integrate(x^2/(b/(f^x)+a*f^x),x, algorithm=""maxima"")","\int \frac{x^{2}}{a f^{x} + \frac{b}{f^{x}}}\,{d x}"," ",0,"integrate(x^2/(a*f^x + b/f^x), x)","F",0
57,0,0,0,0.000000," ","integrate(x^3/(b/(f^x)+a*f^x),x, algorithm=""maxima"")","\int \frac{x^{3}}{a f^{x} + \frac{b}{f^{x}}}\,{d x}"," ",0,"integrate(x^3/(a*f^x + b/f^x), x)","F",0
58,1,23,0,0.433475," ","integrate(1/(b/(f^x)+a*f^x)^2,x, algorithm=""maxima"")","\frac{1}{2 \, {\left(a b + \frac{b^{2}}{f^{2 \, x}}\right)} \log\left(f\right)}"," ",0,"1/2/((a*b + b^2/f^(2*x))*log(f))","A",0
59,1,54,0,0.502290," ","integrate(x/(b/(f^x)+a*f^x)^2,x, algorithm=""maxima"")","\frac{f^{2 \, x} x}{2 \, {\left(a b f^{2 \, x} \log\left(f\right) + b^{2} \log\left(f\right)\right)}} - \frac{\log\left(\frac{a f^{2 \, x} + b}{a}\right)}{4 \, a b \log\left(f\right)^{2}}"," ",0,"1/2*f^(2*x)*x/(a*b*f^(2*x)*log(f) + b^2*log(f)) - 1/4*log((a*f^(2*x) + b)/a)/(a*b*log(f)^2)","A",0
60,1,83,0,0.484266," ","integrate(x^2/(b/(f^x)+a*f^x)^2,x, algorithm=""maxima"")","-\frac{x^{2}}{2 \, {\left(a^{2} f^{2 \, x} \log\left(f\right) + a b \log\left(f\right)\right)}} + \frac{x^{2}}{2 \, a b \log\left(f\right)} - \frac{2 \, x \log\left(\frac{a f^{2 \, x}}{b} + 1\right) \log\left(f\right) + {\rm Li}_2\left(-\frac{a f^{2 \, x}}{b}\right)}{4 \, a b \log\left(f\right)^{3}}"," ",0,"-1/2*x^2/(a^2*f^(2*x)*log(f) + a*b*log(f)) + 1/2*x^2/(a*b*log(f)) - 1/4*(2*x*log(a*f^(2*x)/b + 1)*log(f) + dilog(-a*f^(2*x)/b))/(a*b*log(f)^3)","A",0
61,1,107,0,0.498409," ","integrate(x^3/(b/(f^x)+a*f^x)^2,x, algorithm=""maxima"")","-\frac{x^{3}}{2 \, {\left(a^{2} f^{2 \, x} \log\left(f\right) + a b \log\left(f\right)\right)}} + \frac{x^{3}}{2 \, a b \log\left(f\right)} - \frac{3 \, {\left(2 \, x^{2} \log\left(\frac{a f^{2 \, x}}{b} + 1\right) \log\left(f\right)^{2} + 2 \, x {\rm Li}_2\left(-\frac{a f^{2 \, x}}{b}\right) \log\left(f\right) - {\rm Li}_{3}(-\frac{a f^{2 \, x}}{b})\right)}}{8 \, a b \log\left(f\right)^{4}}"," ",0,"-1/2*x^3/(a^2*f^(2*x)*log(f) + a*b*log(f)) + 1/2*x^3/(a*b*log(f)) - 3/8*(2*x^2*log(a*f^(2*x)/b + 1)*log(f)^2 + 2*x*dilog(-a*f^(2*x)/b)*log(f) - polylog(3, -a*f^(2*x)/b))/(a*b*log(f)^4)","A",0
62,1,90,0,0.969635," ","integrate(1/(b/(f^x)+a*f^x)^3,x, algorithm=""maxima"")","-\frac{\frac{b}{f^{3 \, x}} - \frac{a}{f^{x}}}{8 \, {\left(a^{3} b + \frac{a b^{3}}{f^{4 \, x}} + \frac{2 \, a^{2} b^{2}}{f^{2 \, x}}\right)} \log\left(f\right)} - \frac{\arctan\left(\frac{b}{\sqrt{a b} f^{x}}\right)}{8 \, \sqrt{a b} a b \log\left(f\right)}"," ",0,"-1/8*(b/f^(3*x) - a/f^x)/((a^3*b + a*b^3/f^(4*x) + 2*a^2*b^2/f^(2*x))*log(f)) - 1/8*arctan(b/(sqrt(a*b)*f^x))/(sqrt(a*b)*a*b*log(f))","A",0
63,0,0,0,0.000000," ","integrate(x/(b/(f^x)+a*f^x)^3,x, algorithm=""maxima"")","\frac{{\left(a x \log\left(f\right) + a\right)} f^{3 \, x} - {\left(b x \log\left(f\right) - b\right)} f^{x}}{8 \, {\left(a^{3} b f^{4 \, x} \log\left(f\right)^{2} + 2 \, a^{2} b^{2} f^{2 \, x} \log\left(f\right)^{2} + a b^{3} \log\left(f\right)^{2}\right)}} + \int \frac{f^{x} x}{8 \, {\left(a^{2} b f^{2 \, x} + a b^{2}\right)}}\,{d x}"," ",0,"1/8*((a*x*log(f) + a)*f^(3*x) - (b*x*log(f) - b)*f^x)/(a^3*b*f^(4*x)*log(f)^2 + 2*a^2*b^2*f^(2*x)*log(f)^2 + a*b^3*log(f)^2) + integrate(1/8*f^x*x/(a^2*b*f^(2*x) + a*b^2), x)","F",0
64,0,0,0,0.000000," ","integrate(x^2/(b/(f^x)+a*f^x)^3,x, algorithm=""maxima"")","\frac{{\left(a x^{2} \log\left(f\right) + 2 \, a x\right)} f^{3 \, x} - {\left(b x^{2} \log\left(f\right) - 2 \, b x\right)} f^{x}}{8 \, {\left(a^{3} b f^{4 \, x} \log\left(f\right)^{2} + 2 \, a^{2} b^{2} f^{2 \, x} \log\left(f\right)^{2} + a b^{3} \log\left(f\right)^{2}\right)}} + \int \frac{{\left(x^{2} \log\left(f\right)^{2} - 2\right)} f^{x}}{8 \, {\left(a^{2} b f^{2 \, x} \log\left(f\right)^{2} + a b^{2} \log\left(f\right)^{2}\right)}}\,{d x}"," ",0,"1/8*((a*x^2*log(f) + 2*a*x)*f^(3*x) - (b*x^2*log(f) - 2*b*x)*f^x)/(a^3*b*f^(4*x)*log(f)^2 + 2*a^2*b^2*f^(2*x)*log(f)^2 + a*b^3*log(f)^2) + integrate(1/8*(x^2*log(f)^2 - 2)*f^x/(a^2*b*f^(2*x)*log(f)^2 + a*b^2*log(f)^2), x)","F",0
65,1,90,0,0.490187," ","integrate(f^(c*x^2+b*x+a)*g^(f*x^2+e*x+d),x, algorithm=""maxima"")","\frac{\sqrt{\pi} f^{a} g^{d} \operatorname{erf}\left(\sqrt{-c \log\left(f\right) - f \log\left(g\right)} x - \frac{b \log\left(f\right) + e \log\left(g\right)}{2 \, \sqrt{-c \log\left(f\right) - f \log\left(g\right)}}\right) e^{\left(-\frac{{\left(b \log\left(f\right) + e \log\left(g\right)\right)}^{2}}{4 \, {\left(c \log\left(f\right) + f \log\left(g\right)\right)}}\right)}}{2 \, \sqrt{-c \log\left(f\right) - f \log\left(g\right)}}"," ",0,"1/2*sqrt(pi)*f^a*g^d*erf(sqrt(-c*log(f) - f*log(g))*x - 1/2*(b*log(f) + e*log(g))/sqrt(-c*log(f) - f*log(g)))*e^(-1/4*(b*log(f) + e*log(g))^2/(c*log(f) + f*log(g)))/sqrt(-c*log(f) - f*log(g))","A",0
66,0,0,0,0.000000," ","integrate(F^(e*(d*x+c))*(a+b*G^(h*(g*x+f)))^n,x, algorithm=""maxima"")","\int {\left(G^{{\left(g x + f\right)} h} b + a\right)}^{n} F^{{\left(d x + c\right)} e}\,{d x}"," ",0,"integrate((G^((g*x + f)*h)*b + a)^n*F^((d*x + c)*e), x)","F",0
67,0,0,0,0.000000," ","integrate(F^(e*(d*x+c))*H^(t*(s*x+r))/(a+b*F^(e*(d*x+c))),x, algorithm=""maxima"")","-H^{r t} a^{2} d e \int \frac{H^{s t x}}{a^{2} b d e \log\left(F\right) - a^{2} b s t \log\left(H\right) + {\left(F^{2 \, c e} b^{3} d e \log\left(F\right) - F^{2 \, c e} b^{3} s t \log\left(H\right)\right)} F^{2 \, d e x} + 2 \, {\left(F^{c e} a b^{2} d e \log\left(F\right) - F^{c e} a b^{2} s t \log\left(H\right)\right)} F^{d e x}}\,{d x} \log\left(F\right) + \frac{{\left(H^{r t} a d e \log\left(F\right) + {\left(F^{c e} H^{r t} b d e \log\left(F\right) - F^{c e} H^{r t} b s t \log\left(H\right)\right)} F^{d e x}\right)} H^{s t x}}{a b d e s t \log\left(F\right) \log\left(H\right) - a b s^{2} t^{2} \log\left(H\right)^{2} + {\left(F^{c e} b^{2} d e s t \log\left(F\right) \log\left(H\right) - F^{c e} b^{2} s^{2} t^{2} \log\left(H\right)^{2}\right)} F^{d e x}}"," ",0,"-H^(r*t)*a^2*d*e*integrate(H^(s*t*x)/(a^2*b*d*e*log(F) - a^2*b*s*t*log(H) + (F^(2*c*e)*b^3*d*e*log(F) - F^(2*c*e)*b^3*s*t*log(H))*F^(2*d*e*x) + 2*(F^(c*e)*a*b^2*d*e*log(F) - F^(c*e)*a*b^2*s*t*log(H))*F^(d*e*x)), x)*log(F) + (H^(r*t)*a*d*e*log(F) + (F^(c*e)*H^(r*t)*b*d*e*log(F) - F^(c*e)*H^(r*t)*b*s*t*log(H))*F^(d*e*x))*H^(s*t*x)/(a*b*d*e*s*t*log(F)*log(H) - a*b*s^2*t^2*log(H)^2 + (F^(c*e)*b^2*d*e*s*t*log(F)*log(H) - F^(c*e)*b^2*s^2*t^2*log(H)^2)*F^(d*e*x))","F",0
68,0,0,0,0.000000," ","integrate(F^(e*(d*x+f))*H^(t*(s*x+r))/(a+b*F^(e*(d*x+c))),x, algorithm=""maxima"")","-F^{e f} H^{r t} a^{2} d e \int \frac{H^{s t x}}{F^{c e} a^{2} b d e \log\left(F\right) - F^{c e} a^{2} b s t \log\left(H\right) + {\left(F^{3 \, c e} b^{3} d e \log\left(F\right) - F^{3 \, c e} b^{3} s t \log\left(H\right)\right)} F^{2 \, d e x} + 2 \, {\left(F^{2 \, c e} a b^{2} d e \log\left(F\right) - F^{2 \, c e} a b^{2} s t \log\left(H\right)\right)} F^{d e x}}\,{d x} \log\left(F\right) + \frac{{\left(F^{e f} H^{r t} a d e \log\left(F\right) + {\left(F^{c e + e f} H^{r t} b d e \log\left(F\right) - F^{c e + e f} H^{r t} b s t \log\left(H\right)\right)} F^{d e x}\right)} H^{s t x}}{F^{c e} a b d e s t \log\left(F\right) \log\left(H\right) - F^{c e} a b s^{2} t^{2} \log\left(H\right)^{2} + {\left(F^{2 \, c e} b^{2} d e s t \log\left(F\right) \log\left(H\right) - F^{2 \, c e} b^{2} s^{2} t^{2} \log\left(H\right)^{2}\right)} F^{d e x}}"," ",0,"-F^(e*f)*H^(r*t)*a^2*d*e*integrate(H^(s*t*x)/(F^(c*e)*a^2*b*d*e*log(F) - F^(c*e)*a^2*b*s*t*log(H) + (F^(3*c*e)*b^3*d*e*log(F) - F^(3*c*e)*b^3*s*t*log(H))*F^(2*d*e*x) + 2*(F^(2*c*e)*a*b^2*d*e*log(F) - F^(2*c*e)*a*b^2*s*t*log(H))*F^(d*e*x)), x)*log(F) + (F^(e*f)*H^(r*t)*a*d*e*log(F) + (F^(c*e + e*f)*H^(r*t)*b*d*e*log(F) - F^(c*e + e*f)*H^(r*t)*b*s*t*log(H))*F^(d*e*x))*H^(s*t*x)/(F^(c*e)*a*b*d*e*s*t*log(F)*log(H) - F^(c*e)*a*b*s^2*t^2*log(H)^2 + (F^(2*c*e)*b^2*d*e*s*t*log(F)*log(H) - F^(2*c*e)*b^2*s^2*t^2*log(H)^2)*F^(d*e*x))","F",0
69,1,38,0,0.649997," ","integrate(f^(b*x^2+a)*x^m,x, algorithm=""maxima"")","-\frac{1}{2} \, \left(-b x^{2} \log\left(f\right)\right)^{-\frac{1}{2} \, m - \frac{1}{2}} f^{a} x^{m + 1} \Gamma\left(\frac{1}{2} \, m + \frac{1}{2}, -b x^{2} \log\left(f\right)\right)"," ",0,"-1/2*(-b*x^2*log(f))^(-1/2*m - 1/2)*f^a*x^(m + 1)*gamma(1/2*m + 1/2, -b*x^2*log(f))","A",0
70,1,92,0,0.446829," ","integrate(f^(b*x^2+a)*x^11,x, algorithm=""maxima"")","\frac{{\left(b^{5} f^{a} x^{10} \log\left(f\right)^{5} - 5 \, b^{4} f^{a} x^{8} \log\left(f\right)^{4} + 20 \, b^{3} f^{a} x^{6} \log\left(f\right)^{3} - 60 \, b^{2} f^{a} x^{4} \log\left(f\right)^{2} + 120 \, b f^{a} x^{2} \log\left(f\right) - 120 \, f^{a}\right)} f^{b x^{2}}}{2 \, b^{6} \log\left(f\right)^{6}}"," ",0,"1/2*(b^5*f^a*x^10*log(f)^5 - 5*b^4*f^a*x^8*log(f)^4 + 20*b^3*f^a*x^6*log(f)^3 - 60*b^2*f^a*x^4*log(f)^2 + 120*b*f^a*x^2*log(f) - 120*f^a)*f^(b*x^2)/(b^6*log(f)^6)","A",0
71,1,77,0,0.441616," ","integrate(f^(b*x^2+a)*x^9,x, algorithm=""maxima"")","\frac{{\left(b^{4} f^{a} x^{8} \log\left(f\right)^{4} - 4 \, b^{3} f^{a} x^{6} \log\left(f\right)^{3} + 12 \, b^{2} f^{a} x^{4} \log\left(f\right)^{2} - 24 \, b f^{a} x^{2} \log\left(f\right) + 24 \, f^{a}\right)} f^{b x^{2}}}{2 \, b^{5} \log\left(f\right)^{5}}"," ",0,"1/2*(b^4*f^a*x^8*log(f)^4 - 4*b^3*f^a*x^6*log(f)^3 + 12*b^2*f^a*x^4*log(f)^2 - 24*b*f^a*x^2*log(f) + 24*f^a)*f^(b*x^2)/(b^5*log(f)^5)","A",0
72,1,62,0,0.454200," ","integrate(f^(b*x^2+a)*x^7,x, algorithm=""maxima"")","\frac{{\left(b^{3} f^{a} x^{6} \log\left(f\right)^{3} - 3 \, b^{2} f^{a} x^{4} \log\left(f\right)^{2} + 6 \, b f^{a} x^{2} \log\left(f\right) - 6 \, f^{a}\right)} f^{b x^{2}}}{2 \, b^{4} \log\left(f\right)^{4}}"," ",0,"1/2*(b^3*f^a*x^6*log(f)^3 - 3*b^2*f^a*x^4*log(f)^2 + 6*b*f^a*x^2*log(f) - 6*f^a)*f^(b*x^2)/(b^4*log(f)^4)","A",0
73,1,47,0,0.441024," ","integrate(f^(b*x^2+a)*x^5,x, algorithm=""maxima"")","\frac{{\left(b^{2} f^{a} x^{4} \log\left(f\right)^{2} - 2 \, b f^{a} x^{2} \log\left(f\right) + 2 \, f^{a}\right)} f^{b x^{2}}}{2 \, b^{3} \log\left(f\right)^{3}}"," ",0,"1/2*(b^2*f^a*x^4*log(f)^2 - 2*b*f^a*x^2*log(f) + 2*f^a)*f^(b*x^2)/(b^3*log(f)^3)","A",0
74,1,32,0,0.454684," ","integrate(f^(b*x^2+a)*x^3,x, algorithm=""maxima"")","\frac{{\left(b f^{a} x^{2} \log\left(f\right) - f^{a}\right)} f^{b x^{2}}}{2 \, b^{2} \log\left(f\right)^{2}}"," ",0,"1/2*(b*f^a*x^2*log(f) - f^a)*f^(b*x^2)/(b^2*log(f)^2)","A",0
75,1,18,0,0.449249," ","integrate(f^(b*x^2+a)*x,x, algorithm=""maxima"")","\frac{f^{b x^{2} + a}}{2 \, b \log\left(f\right)}"," ",0,"1/2*f^(b*x^2 + a)/(b*log(f))","A",0
76,1,13,0,0.623313," ","integrate(f^(b*x^2+a)/x,x, algorithm=""maxima"")","\frac{1}{2} \, f^{a} {\rm Ei}\left(b x^{2} \log\left(f\right)\right)"," ",0,"1/2*f^a*Ei(b*x^2*log(f))","A",0
77,1,18,0,0.638112," ","integrate(f^(b*x^2+a)/x^3,x, algorithm=""maxima"")","\frac{1}{2} \, b f^{a} \Gamma\left(-1, -b x^{2} \log\left(f\right)\right) \log\left(f\right)"," ",0,"1/2*b*f^a*gamma(-1, -b*x^2*log(f))*log(f)","A",0
78,1,22,0,0.621853," ","integrate(f^(b*x^2+a)/x^5,x, algorithm=""maxima"")","-\frac{1}{2} \, b^{2} f^{a} \Gamma\left(-2, -b x^{2} \log\left(f\right)\right) \log\left(f\right)^{2}"," ",0,"-1/2*b^2*f^a*gamma(-2, -b*x^2*log(f))*log(f)^2","A",0
79,1,22,0,0.646564," ","integrate(f^(b*x^2+a)/x^7,x, algorithm=""maxima"")","\frac{1}{2} \, b^{3} f^{a} \Gamma\left(-3, -b x^{2} \log\left(f\right)\right) \log\left(f\right)^{3}"," ",0,"1/2*b^3*f^a*gamma(-3, -b*x^2*log(f))*log(f)^3","A",0
80,1,22,0,0.623255," ","integrate(f^(b*x^2+a)/x^9,x, algorithm=""maxima"")","-\frac{1}{2} \, b^{4} f^{a} \Gamma\left(-4, -b x^{2} \log\left(f\right)\right) \log\left(f\right)^{4}"," ",0,"-1/2*b^4*f^a*gamma(-4, -b*x^2*log(f))*log(f)^4","B",0
81,1,22,0,0.925861," ","integrate(f^(b*x^2+a)/x^11,x, algorithm=""maxima"")","\frac{1}{2} \, b^{5} f^{a} \Gamma\left(-5, -b x^{2} \log\left(f\right)\right) \log\left(f\right)^{5}"," ",0,"1/2*b^5*f^a*gamma(-5, -b*x^2*log(f))*log(f)^5","B",0
82,1,127,0,0.761832," ","integrate(f^(b*x^2+a)*x^12,x, algorithm=""maxima"")","\frac{{\left(32 \, b^{5} f^{a} x^{11} \log\left(f\right)^{5} - 176 \, b^{4} f^{a} x^{9} \log\left(f\right)^{4} + 792 \, b^{3} f^{a} x^{7} \log\left(f\right)^{3} - 2772 \, b^{2} f^{a} x^{5} \log\left(f\right)^{2} + 6930 \, b f^{a} x^{3} \log\left(f\right) - 10395 \, f^{a} x\right)} f^{b x^{2}}}{64 \, b^{6} \log\left(f\right)^{6}} + \frac{10395 \, \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-b \log\left(f\right)} x\right)}{128 \, \sqrt{-b \log\left(f\right)} b^{6} \log\left(f\right)^{6}}"," ",0,"1/64*(32*b^5*f^a*x^11*log(f)^5 - 176*b^4*f^a*x^9*log(f)^4 + 792*b^3*f^a*x^7*log(f)^3 - 2772*b^2*f^a*x^5*log(f)^2 + 6930*b*f^a*x^3*log(f) - 10395*f^a*x)*f^(b*x^2)/(b^6*log(f)^6) + 10395/128*sqrt(pi)*f^a*erf(sqrt(-b*log(f))*x)/(sqrt(-b*log(f))*b^6*log(f)^6)","A",0
83,1,112,0,0.752035," ","integrate(f^(b*x^2+a)*x^10,x, algorithm=""maxima"")","\frac{{\left(16 \, b^{4} f^{a} x^{9} \log\left(f\right)^{4} - 72 \, b^{3} f^{a} x^{7} \log\left(f\right)^{3} + 252 \, b^{2} f^{a} x^{5} \log\left(f\right)^{2} - 630 \, b f^{a} x^{3} \log\left(f\right) + 945 \, f^{a} x\right)} f^{b x^{2}}}{32 \, b^{5} \log\left(f\right)^{5}} - \frac{945 \, \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-b \log\left(f\right)} x\right)}{64 \, \sqrt{-b \log\left(f\right)} b^{5} \log\left(f\right)^{5}}"," ",0,"1/32*(16*b^4*f^a*x^9*log(f)^4 - 72*b^3*f^a*x^7*log(f)^3 + 252*b^2*f^a*x^5*log(f)^2 - 630*b*f^a*x^3*log(f) + 945*f^a*x)*f^(b*x^2)/(b^5*log(f)^5) - 945/64*sqrt(pi)*f^a*erf(sqrt(-b*log(f))*x)/(sqrt(-b*log(f))*b^5*log(f)^5)","A",0
84,1,97,0,0.672127," ","integrate(f^(b*x^2+a)*x^8,x, algorithm=""maxima"")","\frac{{\left(8 \, b^{3} f^{a} x^{7} \log\left(f\right)^{3} - 28 \, b^{2} f^{a} x^{5} \log\left(f\right)^{2} + 70 \, b f^{a} x^{3} \log\left(f\right) - 105 \, f^{a} x\right)} f^{b x^{2}}}{16 \, b^{4} \log\left(f\right)^{4}} + \frac{105 \, \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-b \log\left(f\right)} x\right)}{32 \, \sqrt{-b \log\left(f\right)} b^{4} \log\left(f\right)^{4}}"," ",0,"1/16*(8*b^3*f^a*x^7*log(f)^3 - 28*b^2*f^a*x^5*log(f)^2 + 70*b*f^a*x^3*log(f) - 105*f^a*x)*f^(b*x^2)/(b^4*log(f)^4) + 105/32*sqrt(pi)*f^a*erf(sqrt(-b*log(f))*x)/(sqrt(-b*log(f))*b^4*log(f)^4)","A",0
85,1,82,0,0.627601," ","integrate(f^(b*x^2+a)*x^6,x, algorithm=""maxima"")","\frac{{\left(4 \, b^{2} f^{a} x^{5} \log\left(f\right)^{2} - 10 \, b f^{a} x^{3} \log\left(f\right) + 15 \, f^{a} x\right)} f^{b x^{2}}}{8 \, b^{3} \log\left(f\right)^{3}} - \frac{15 \, \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-b \log\left(f\right)} x\right)}{16 \, \sqrt{-b \log\left(f\right)} b^{3} \log\left(f\right)^{3}}"," ",0,"1/8*(4*b^2*f^a*x^5*log(f)^2 - 10*b*f^a*x^3*log(f) + 15*f^a*x)*f^(b*x^2)/(b^3*log(f)^3) - 15/16*sqrt(pi)*f^a*erf(sqrt(-b*log(f))*x)/(sqrt(-b*log(f))*b^3*log(f)^3)","A",0
86,1,67,0,0.628573," ","integrate(f^(b*x^2+a)*x^4,x, algorithm=""maxima"")","\frac{{\left(2 \, b f^{a} x^{3} \log\left(f\right) - 3 \, f^{a} x\right)} f^{b x^{2}}}{4 \, b^{2} \log\left(f\right)^{2}} + \frac{3 \, \sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-b \log\left(f\right)} x\right)}{8 \, \sqrt{-b \log\left(f\right)} b^{2} \log\left(f\right)^{2}}"," ",0,"1/4*(2*b*f^a*x^3*log(f) - 3*f^a*x)*f^(b*x^2)/(b^2*log(f)^2) + 3/8*sqrt(pi)*f^a*erf(sqrt(-b*log(f))*x)/(sqrt(-b*log(f))*b^2*log(f)^2)","A",0
87,1,53,0,0.782440," ","integrate(f^(b*x^2+a)*x^2,x, algorithm=""maxima"")","\frac{f^{b x^{2}} f^{a} x}{2 \, b \log\left(f\right)} - \frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-b \log\left(f\right)} x\right)}{4 \, \sqrt{-b \log\left(f\right)} b \log\left(f\right)}"," ",0,"1/2*f^(b*x^2)*f^a*x/(b*log(f)) - 1/4*sqrt(pi)*f^a*erf(sqrt(-b*log(f))*x)/(sqrt(-b*log(f))*b*log(f))","A",0
88,1,25,0,0.920695," ","integrate(f^(b*x^2+a),x, algorithm=""maxima"")","\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-b \log\left(f\right)} x\right)}{2 \, \sqrt{-b \log\left(f\right)}}"," ",0,"1/2*sqrt(pi)*f^a*erf(sqrt(-b*log(f))*x)/sqrt(-b*log(f))","A",0
89,1,28,0,1.269039," ","integrate(f^(b*x^2+a)/x^2,x, algorithm=""maxima"")","-\frac{\sqrt{-b x^{2} \log\left(f\right)} f^{a} \Gamma\left(-\frac{1}{2}, -b x^{2} \log\left(f\right)\right)}{2 \, x}"," ",0,"-1/2*sqrt(-b*x^2*log(f))*f^a*gamma(-1/2, -b*x^2*log(f))/x","A",0
90,1,28,0,1.145406," ","integrate(f^(b*x^2+a)/x^4,x, algorithm=""maxima"")","-\frac{\left(-b x^{2} \log\left(f\right)\right)^{\frac{3}{2}} f^{a} \Gamma\left(-\frac{3}{2}, -b x^{2} \log\left(f\right)\right)}{2 \, x^{3}}"," ",0,"-1/2*(-b*x^2*log(f))^(3/2)*f^a*gamma(-3/2, -b*x^2*log(f))/x^3","A",0
91,1,28,0,1.344997," ","integrate(f^(b*x^2+a)/x^6,x, algorithm=""maxima"")","-\frac{\left(-b x^{2} \log\left(f\right)\right)^{\frac{5}{2}} f^{a} \Gamma\left(-\frac{5}{2}, -b x^{2} \log\left(f\right)\right)}{2 \, x^{5}}"," ",0,"-1/2*(-b*x^2*log(f))^(5/2)*f^a*gamma(-5/2, -b*x^2*log(f))/x^5","A",0
92,1,28,0,1.295033," ","integrate(f^(b*x^2+a)/x^8,x, algorithm=""maxima"")","-\frac{\left(-b x^{2} \log\left(f\right)\right)^{\frac{7}{2}} f^{a} \Gamma\left(-\frac{7}{2}, -b x^{2} \log\left(f\right)\right)}{2 \, x^{7}}"," ",0,"-1/2*(-b*x^2*log(f))^(7/2)*f^a*gamma(-7/2, -b*x^2*log(f))/x^7","A",0
93,1,28,0,1.263701," ","integrate(f^(b*x^2+a)/x^10,x, algorithm=""maxima"")","-\frac{\left(-b x^{2} \log\left(f\right)\right)^{\frac{9}{2}} f^{a} \Gamma\left(-\frac{9}{2}, -b x^{2} \log\left(f\right)\right)}{2 \, x^{9}}"," ",0,"-1/2*(-b*x^2*log(f))^(9/2)*f^a*gamma(-9/2, -b*x^2*log(f))/x^9","A",0
94,1,28,0,1.366953," ","integrate(f^(b*x^2+a)/x^12,x, algorithm=""maxima"")","-\frac{\left(-b x^{2} \log\left(f\right)\right)^{\frac{11}{2}} f^{a} \Gamma\left(-\frac{11}{2}, -b x^{2} \log\left(f\right)\right)}{2 \, x^{11}}"," ",0,"-1/2*(-b*x^2*log(f))^(11/2)*f^a*gamma(-11/2, -b*x^2*log(f))/x^11","A",0
95,1,38,0,1.320171," ","integrate(f^(b*x^3+a)*x^m,x, algorithm=""maxima"")","-\frac{1}{3} \, \left(-b x^{3} \log\left(f\right)\right)^{-\frac{1}{3} \, m - \frac{1}{3}} f^{a} x^{m + 1} \Gamma\left(\frac{1}{3} \, m + \frac{1}{3}, -b x^{3} \log\left(f\right)\right)"," ",0,"-1/3*(-b*x^3*log(f))^(-1/3*m - 1/3)*f^a*x^(m + 1)*gamma(1/3*m + 1/3, -b*x^3*log(f))","A",0
96,1,92,0,0.928882," ","integrate(f^(b*x^3+a)*x^17,x, algorithm=""maxima"")","\frac{{\left(b^{5} f^{a} x^{15} \log\left(f\right)^{5} - 5 \, b^{4} f^{a} x^{12} \log\left(f\right)^{4} + 20 \, b^{3} f^{a} x^{9} \log\left(f\right)^{3} - 60 \, b^{2} f^{a} x^{6} \log\left(f\right)^{2} + 120 \, b f^{a} x^{3} \log\left(f\right) - 120 \, f^{a}\right)} f^{b x^{3}}}{3 \, b^{6} \log\left(f\right)^{6}}"," ",0,"1/3*(b^5*f^a*x^15*log(f)^5 - 5*b^4*f^a*x^12*log(f)^4 + 20*b^3*f^a*x^9*log(f)^3 - 60*b^2*f^a*x^6*log(f)^2 + 120*b*f^a*x^3*log(f) - 120*f^a)*f^(b*x^3)/(b^6*log(f)^6)","A",0
97,1,77,0,0.925972," ","integrate(f^(b*x^3+a)*x^14,x, algorithm=""maxima"")","\frac{{\left(b^{4} f^{a} x^{12} \log\left(f\right)^{4} - 4 \, b^{3} f^{a} x^{9} \log\left(f\right)^{3} + 12 \, b^{2} f^{a} x^{6} \log\left(f\right)^{2} - 24 \, b f^{a} x^{3} \log\left(f\right) + 24 \, f^{a}\right)} f^{b x^{3}}}{3 \, b^{5} \log\left(f\right)^{5}}"," ",0,"1/3*(b^4*f^a*x^12*log(f)^4 - 4*b^3*f^a*x^9*log(f)^3 + 12*b^2*f^a*x^6*log(f)^2 - 24*b*f^a*x^3*log(f) + 24*f^a)*f^(b*x^3)/(b^5*log(f)^5)","A",0
98,1,62,0,0.978797," ","integrate(f^(b*x^3+a)*x^11,x, algorithm=""maxima"")","\frac{{\left(b^{3} f^{a} x^{9} \log\left(f\right)^{3} - 3 \, b^{2} f^{a} x^{6} \log\left(f\right)^{2} + 6 \, b f^{a} x^{3} \log\left(f\right) - 6 \, f^{a}\right)} f^{b x^{3}}}{3 \, b^{4} \log\left(f\right)^{4}}"," ",0,"1/3*(b^3*f^a*x^9*log(f)^3 - 3*b^2*f^a*x^6*log(f)^2 + 6*b*f^a*x^3*log(f) - 6*f^a)*f^(b*x^3)/(b^4*log(f)^4)","A",0
99,1,47,0,0.954043," ","integrate(f^(b*x^3+a)*x^8,x, algorithm=""maxima"")","\frac{{\left(b^{2} f^{a} x^{6} \log\left(f\right)^{2} - 2 \, b f^{a} x^{3} \log\left(f\right) + 2 \, f^{a}\right)} f^{b x^{3}}}{3 \, b^{3} \log\left(f\right)^{3}}"," ",0,"1/3*(b^2*f^a*x^6*log(f)^2 - 2*b*f^a*x^3*log(f) + 2*f^a)*f^(b*x^3)/(b^3*log(f)^3)","A",0
100,1,32,0,0.908302," ","integrate(f^(b*x^3+a)*x^5,x, algorithm=""maxima"")","\frac{{\left(b f^{a} x^{3} \log\left(f\right) - f^{a}\right)} f^{b x^{3}}}{3 \, b^{2} \log\left(f\right)^{2}}"," ",0,"1/3*(b*f^a*x^3*log(f) - f^a)*f^(b*x^3)/(b^2*log(f)^2)","A",0
101,1,18,0,0.925088," ","integrate(f^(b*x^3+a)*x^2,x, algorithm=""maxima"")","\frac{f^{b x^{3} + a}}{3 \, b \log\left(f\right)}"," ",0,"1/3*f^(b*x^3 + a)/(b*log(f))","A",0
102,1,13,0,1.316656," ","integrate(f^(b*x^3+a)/x,x, algorithm=""maxima"")","\frac{1}{3} \, f^{a} {\rm Ei}\left(b x^{3} \log\left(f\right)\right)"," ",0,"1/3*f^a*Ei(b*x^3*log(f))","A",0
103,1,18,0,1.363166," ","integrate(f^(b*x^3+a)/x^4,x, algorithm=""maxima"")","\frac{1}{3} \, b f^{a} \Gamma\left(-1, -b x^{3} \log\left(f\right)\right) \log\left(f\right)"," ",0,"1/3*b*f^a*gamma(-1, -b*x^3*log(f))*log(f)","A",0
104,1,22,0,1.194256," ","integrate(f^(b*x^3+a)/x^7,x, algorithm=""maxima"")","-\frac{1}{3} \, b^{2} f^{a} \Gamma\left(-2, -b x^{3} \log\left(f\right)\right) \log\left(f\right)^{2}"," ",0,"-1/3*b^2*f^a*gamma(-2, -b*x^3*log(f))*log(f)^2","A",0
105,1,22,0,1.177981," ","integrate(f^(b*x^3+a)/x^10,x, algorithm=""maxima"")","\frac{1}{3} \, b^{3} f^{a} \Gamma\left(-3, -b x^{3} \log\left(f\right)\right) \log\left(f\right)^{3}"," ",0,"1/3*b^3*f^a*gamma(-3, -b*x^3*log(f))*log(f)^3","A",0
106,1,22,0,1.141992," ","integrate(f^(b*x^3+a)/x^13,x, algorithm=""maxima"")","-\frac{1}{3} \, b^{4} f^{a} \Gamma\left(-4, -b x^{3} \log\left(f\right)\right) \log\left(f\right)^{4}"," ",0,"-1/3*b^4*f^a*gamma(-4, -b*x^3*log(f))*log(f)^4","B",0
107,1,22,0,1.293539," ","integrate(f^(b*x^3+a)/x^16,x, algorithm=""maxima"")","\frac{1}{3} \, b^{5} f^{a} \Gamma\left(-5, -b x^{3} \log\left(f\right)\right) \log\left(f\right)^{5}"," ",0,"1/3*b^5*f^a*gamma(-5, -b*x^3*log(f))*log(f)^5","B",0
108,1,28,0,1.274420," ","integrate(f^(b*x^3+a)*x^4,x, algorithm=""maxima"")","-\frac{f^{a} x^{5} \Gamma\left(\frac{5}{3}, -b x^{3} \log\left(f\right)\right)}{3 \, \left(-b x^{3} \log\left(f\right)\right)^{\frac{5}{3}}}"," ",0,"-1/3*f^a*x^5*gamma(5/3, -b*x^3*log(f))/(-b*x^3*log(f))^(5/3)","A",0
109,1,28,0,1.329219," ","integrate(f^(b*x^3+a)*x^3,x, algorithm=""maxima"")","-\frac{f^{a} x^{4} \Gamma\left(\frac{4}{3}, -b x^{3} \log\left(f\right)\right)}{3 \, \left(-b x^{3} \log\left(f\right)\right)^{\frac{4}{3}}}"," ",0,"-1/3*f^a*x^4*gamma(4/3, -b*x^3*log(f))/(-b*x^3*log(f))^(4/3)","A",0
110,1,28,0,1.270144," ","integrate(f^(b*x^3+a)*x,x, algorithm=""maxima"")","-\frac{f^{a} x^{2} \Gamma\left(\frac{2}{3}, -b x^{3} \log\left(f\right)\right)}{3 \, \left(-b x^{3} \log\left(f\right)\right)^{\frac{2}{3}}}"," ",0,"-1/3*f^a*x^2*gamma(2/3, -b*x^3*log(f))/(-b*x^3*log(f))^(2/3)","A",0
111,1,26,0,1.250529," ","integrate(f^(b*x^3+a),x, algorithm=""maxima"")","-\frac{f^{a} x \Gamma\left(\frac{1}{3}, -b x^{3} \log\left(f\right)\right)}{3 \, \left(-b x^{3} \log\left(f\right)\right)^{\frac{1}{3}}}"," ",0,"-1/3*f^a*x*gamma(1/3, -b*x^3*log(f))/(-b*x^3*log(f))^(1/3)","A",0
112,1,28,0,1.292742," ","integrate(f^(b*x^3+a)/x^2,x, algorithm=""maxima"")","-\frac{\left(-b x^{3} \log\left(f\right)\right)^{\frac{1}{3}} f^{a} \Gamma\left(-\frac{1}{3}, -b x^{3} \log\left(f\right)\right)}{3 \, x}"," ",0,"-1/3*(-b*x^3*log(f))^(1/3)*f^a*gamma(-1/3, -b*x^3*log(f))/x","A",0
113,1,28,0,1.654364," ","integrate(f^(b*x^3+a)/x^3,x, algorithm=""maxima"")","-\frac{\left(-b x^{3} \log\left(f\right)\right)^{\frac{2}{3}} f^{a} \Gamma\left(-\frac{2}{3}, -b x^{3} \log\left(f\right)\right)}{3 \, x^{2}}"," ",0,"-1/3*(-b*x^3*log(f))^(2/3)*f^a*gamma(-2/3, -b*x^3*log(f))/x^2","A",0
114,1,8,0,1.092822," ","integrate(exp(4*x^3)*x^2,x, algorithm=""maxima"")","\frac{1}{12} \, e^{\left(4 \, x^{3}\right)}"," ",0,"1/12*e^(4*x^3)","A",0
115,1,35,0,1.611853," ","integrate(f^(a+b/x)*x^m,x, algorithm=""maxima"")","f^{a} x^{m + 1} \left(-\frac{b \log\left(f\right)}{x}\right)^{m + 1} \Gamma\left(-m - 1, -\frac{b \log\left(f\right)}{x}\right)"," ",0,"f^a*x^(m + 1)*(-b*log(f)/x)^(m + 1)*gamma(-m - 1, -b*log(f)/x)","A",0
116,1,22,0,1.517241," ","integrate(f^(a+b/x)*x^4,x, algorithm=""maxima"")","-b^{5} f^{a} \Gamma\left(-5, -\frac{b \log\left(f\right)}{x}\right) \log\left(f\right)^{5}"," ",0,"-b^5*f^a*gamma(-5, -b*log(f)/x)*log(f)^5","B",0
117,1,21,0,1.626555," ","integrate(f^(a+b/x)*x^3,x, algorithm=""maxima"")","b^{4} f^{a} \Gamma\left(-4, -\frac{b \log\left(f\right)}{x}\right) \log\left(f\right)^{4}"," ",0,"b^4*f^a*gamma(-4, -b*log(f)/x)*log(f)^4","B",0
118,1,22,0,1.968585," ","integrate(f^(a+b/x)*x^2,x, algorithm=""maxima"")","-b^{3} f^{a} \Gamma\left(-3, -\frac{b \log\left(f\right)}{x}\right) \log\left(f\right)^{3}"," ",0,"-b^3*f^a*gamma(-3, -b*log(f)/x)*log(f)^3","A",0
119,1,21,0,1.621313," ","integrate(f^(a+b/x)*x,x, algorithm=""maxima"")","b^{2} f^{a} \Gamma\left(-2, -\frac{b \log\left(f\right)}{x}\right) \log\left(f\right)^{2}"," ",0,"b^2*f^a*gamma(-2, -b*log(f)/x)*log(f)^2","A",0
120,1,18,0,1.584687," ","integrate(f^(a+b/x),x, algorithm=""maxima"")","-b f^{a} \Gamma\left(-1, -\frac{b \log\left(f\right)}{x}\right) \log\left(f\right)"," ",0,"-b*f^a*gamma(-1, -b*log(f)/x)*log(f)","A",0
121,1,13,0,1.590398," ","integrate(f^(a+b/x)/x,x, algorithm=""maxima"")","-f^{a} {\rm Ei}\left(\frac{b \log\left(f\right)}{x}\right)"," ",0,"-f^a*Ei(b*log(f)/x)","A",0
122,1,18,0,1.060964," ","integrate(f^(a+b/x)/x^2,x, algorithm=""maxima"")","-\frac{f^{a + \frac{b}{x}}}{b \log\left(f\right)}"," ",0,"-f^(a + b/x)/(b*log(f))","A",0
123,1,21,0,1.293486," ","integrate(f^(a+b/x)/x^3,x, algorithm=""maxima"")","\frac{f^{a} \Gamma\left(2, -\frac{b \log\left(f\right)}{x}\right)}{b^{2} \log\left(f\right)^{2}}"," ",0,"f^a*gamma(2, -b*log(f)/x)/(b^2*log(f)^2)","C",0
124,1,22,0,1.259161," ","integrate(f^(a+b/x)/x^4,x, algorithm=""maxima"")","-\frac{f^{a} \Gamma\left(3, -\frac{b \log\left(f\right)}{x}\right)}{b^{3} \log\left(f\right)^{3}}"," ",0,"-f^a*gamma(3, -b*log(f)/x)/(b^3*log(f)^3)","C",0
125,1,21,0,1.295171," ","integrate(f^(a+b/x)/x^5,x, algorithm=""maxima"")","\frac{f^{a} \Gamma\left(4, -\frac{b \log\left(f\right)}{x}\right)}{b^{4} \log\left(f\right)^{4}}"," ",0,"f^a*gamma(4, -b*log(f)/x)/(b^4*log(f)^4)","C",0
126,1,22,0,1.240185," ","integrate(f^(a+b/x)/x^6,x, algorithm=""maxima"")","-\frac{f^{a} \Gamma\left(5, -\frac{b \log\left(f\right)}{x}\right)}{b^{5} \log\left(f\right)^{5}}"," ",0,"-f^a*gamma(5, -b*log(f)/x)/(b^5*log(f)^5)","C",0
127,1,21,0,1.287891," ","integrate(f^(a+b/x)/x^7,x, algorithm=""maxima"")","\frac{f^{a} \Gamma\left(6, -\frac{b \log\left(f\right)}{x}\right)}{b^{6} \log\left(f\right)^{6}}"," ",0,"f^a*gamma(6, -b*log(f)/x)/(b^6*log(f)^6)","C",0
128,1,38,0,1.372384," ","integrate(f^(a+b/x^2)*x^m,x, algorithm=""maxima"")","\frac{1}{2} \, f^{a} x^{m + 1} \left(-\frac{b \log\left(f\right)}{x^{2}}\right)^{\frac{1}{2} \, m + \frac{1}{2}} \Gamma\left(-\frac{1}{2} \, m - \frac{1}{2}, -\frac{b \log\left(f\right)}{x^{2}}\right)"," ",0,"1/2*f^a*x^(m + 1)*(-b*log(f)/x^2)^(1/2*m + 1/2)*gamma(-1/2*m - 1/2, -b*log(f)/x^2)","A",0
129,1,22,0,1.323061," ","integrate(f^(a+b/x^2)*x^9,x, algorithm=""maxima"")","-\frac{1}{2} \, b^{5} f^{a} \Gamma\left(-5, -\frac{b \log\left(f\right)}{x^{2}}\right) \log\left(f\right)^{5}"," ",0,"-1/2*b^5*f^a*gamma(-5, -b*log(f)/x^2)*log(f)^5","B",0
130,1,22,0,1.351602," ","integrate(f^(a+b/x^2)*x^7,x, algorithm=""maxima"")","\frac{1}{2} \, b^{4} f^{a} \Gamma\left(-4, -\frac{b \log\left(f\right)}{x^{2}}\right) \log\left(f\right)^{4}"," ",0,"1/2*b^4*f^a*gamma(-4, -b*log(f)/x^2)*log(f)^4","B",0
131,1,22,0,1.482795," ","integrate(f^(a+b/x^2)*x^5,x, algorithm=""maxima"")","-\frac{1}{2} \, b^{3} f^{a} \Gamma\left(-3, -\frac{b \log\left(f\right)}{x^{2}}\right) \log\left(f\right)^{3}"," ",0,"-1/2*b^3*f^a*gamma(-3, -b*log(f)/x^2)*log(f)^3","A",0
132,1,22,0,1.208959," ","integrate(f^(a+b/x^2)*x^3,x, algorithm=""maxima"")","\frac{1}{2} \, b^{2} f^{a} \Gamma\left(-2, -\frac{b \log\left(f\right)}{x^{2}}\right) \log\left(f\right)^{2}"," ",0,"1/2*b^2*f^a*gamma(-2, -b*log(f)/x^2)*log(f)^2","A",0
133,1,18,0,1.217291," ","integrate(f^(a+b/x^2)*x,x, algorithm=""maxima"")","-\frac{1}{2} \, b f^{a} \Gamma\left(-1, -\frac{b \log\left(f\right)}{x^{2}}\right) \log\left(f\right)"," ",0,"-1/2*b*f^a*gamma(-1, -b*log(f)/x^2)*log(f)","A",0
134,1,13,0,1.254860," ","integrate(f^(a+b/x^2)/x,x, algorithm=""maxima"")","-\frac{1}{2} \, f^{a} {\rm Ei}\left(\frac{b \log\left(f\right)}{x^{2}}\right)"," ",0,"-1/2*f^a*Ei(b*log(f)/x^2)","A",0
135,1,18,0,1.007826," ","integrate(f^(a+b/x^2)/x^3,x, algorithm=""maxima"")","-\frac{f^{a + \frac{b}{x^{2}}}}{2 \, b \log\left(f\right)}"," ",0,"-1/2*f^(a + b/x^2)/(b*log(f))","A",0
136,1,22,0,1.294539," ","integrate(f^(a+b/x^2)/x^5,x, algorithm=""maxima"")","\frac{f^{a} \Gamma\left(2, -\frac{b \log\left(f\right)}{x^{2}}\right)}{2 \, b^{2} \log\left(f\right)^{2}}"," ",0,"1/2*f^a*gamma(2, -b*log(f)/x^2)/(b^2*log(f)^2)","C",0
137,1,22,0,1.297062," ","integrate(f^(a+b/x^2)/x^7,x, algorithm=""maxima"")","-\frac{f^{a} \Gamma\left(3, -\frac{b \log\left(f\right)}{x^{2}}\right)}{2 \, b^{3} \log\left(f\right)^{3}}"," ",0,"-1/2*f^a*gamma(3, -b*log(f)/x^2)/(b^3*log(f)^3)","C",0
138,1,22,0,1.277457," ","integrate(f^(a+b/x^2)/x^9,x, algorithm=""maxima"")","\frac{f^{a} \Gamma\left(4, -\frac{b \log\left(f\right)}{x^{2}}\right)}{2 \, b^{4} \log\left(f\right)^{4}}"," ",0,"1/2*f^a*gamma(4, -b*log(f)/x^2)/(b^4*log(f)^4)","C",0
139,1,22,0,1.271545," ","integrate(f^(a+b/x^2)/x^11,x, algorithm=""maxima"")","-\frac{f^{a} \Gamma\left(5, -\frac{b \log\left(f\right)}{x^{2}}\right)}{2 \, b^{5} \log\left(f\right)^{5}}"," ",0,"-1/2*f^a*gamma(5, -b*log(f)/x^2)/(b^5*log(f)^5)","C",0
140,1,22,0,1.278656," ","integrate(f^(a+b/x^2)/x^13,x, algorithm=""maxima"")","\frac{f^{a} \Gamma\left(6, -\frac{b \log\left(f\right)}{x^{2}}\right)}{2 \, b^{6} \log\left(f\right)^{6}}"," ",0,"1/2*f^a*gamma(6, -b*log(f)/x^2)/(b^6*log(f)^6)","C",0
141,1,28,0,1.219076," ","integrate(f^(a+b/x^2)*x^10,x, algorithm=""maxima"")","\frac{1}{2} \, f^{a} x^{11} \left(-\frac{b \log\left(f\right)}{x^{2}}\right)^{\frac{11}{2}} \Gamma\left(-\frac{11}{2}, -\frac{b \log\left(f\right)}{x^{2}}\right)"," ",0,"1/2*f^a*x^11*(-b*log(f)/x^2)^(11/2)*gamma(-11/2, -b*log(f)/x^2)","A",0
142,1,28,0,1.340190," ","integrate(f^(a+b/x^2)*x^8,x, algorithm=""maxima"")","\frac{1}{2} \, f^{a} x^{9} \left(-\frac{b \log\left(f\right)}{x^{2}}\right)^{\frac{9}{2}} \Gamma\left(-\frac{9}{2}, -\frac{b \log\left(f\right)}{x^{2}}\right)"," ",0,"1/2*f^a*x^9*(-b*log(f)/x^2)^(9/2)*gamma(-9/2, -b*log(f)/x^2)","A",0
143,1,28,0,1.305225," ","integrate(f^(a+b/x^2)*x^6,x, algorithm=""maxima"")","\frac{1}{2} \, f^{a} x^{7} \left(-\frac{b \log\left(f\right)}{x^{2}}\right)^{\frac{7}{2}} \Gamma\left(-\frac{7}{2}, -\frac{b \log\left(f\right)}{x^{2}}\right)"," ",0,"1/2*f^a*x^7*(-b*log(f)/x^2)^(7/2)*gamma(-7/2, -b*log(f)/x^2)","A",0
144,1,28,0,1.242012," ","integrate(f^(a+b/x^2)*x^4,x, algorithm=""maxima"")","\frac{1}{2} \, f^{a} x^{5} \left(-\frac{b \log\left(f\right)}{x^{2}}\right)^{\frac{5}{2}} \Gamma\left(-\frac{5}{2}, -\frac{b \log\left(f\right)}{x^{2}}\right)"," ",0,"1/2*f^a*x^5*(-b*log(f)/x^2)^(5/2)*gamma(-5/2, -b*log(f)/x^2)","A",0
145,1,28,0,1.274805," ","integrate(f^(a+b/x^2)*x^2,x, algorithm=""maxima"")","\frac{1}{2} \, f^{a} x^{3} \left(-\frac{b \log\left(f\right)}{x^{2}}\right)^{\frac{3}{2}} \Gamma\left(-\frac{3}{2}, -\frac{b \log\left(f\right)}{x^{2}}\right)"," ",0,"1/2*f^a*x^3*(-b*log(f)/x^2)^(3/2)*gamma(-3/2, -b*log(f)/x^2)","A",0
146,1,26,0,1.246454," ","integrate(f^(a+b/x^2),x, algorithm=""maxima"")","\frac{1}{2} \, f^{a} x \sqrt{-\frac{b \log\left(f\right)}{x^{2}}} \Gamma\left(-\frac{1}{2}, -\frac{b \log\left(f\right)}{x^{2}}\right)"," ",0,"1/2*f^a*x*sqrt(-b*log(f)/x^2)*gamma(-1/2, -b*log(f)/x^2)","A",0
147,1,34,0,1.299887," ","integrate(f^(a+b/x^2)/x^2,x, algorithm=""maxima"")","-\frac{\sqrt{\pi} f^{a} {\left(\operatorname{erf}\left(\sqrt{-\frac{b \log\left(f\right)}{x^{2}}}\right) - 1\right)}}{2 \, x \sqrt{-\frac{b \log\left(f\right)}{x^{2}}}}"," ",0,"-1/2*sqrt(pi)*f^a*(erf(sqrt(-b*log(f)/x^2)) - 1)/(x*sqrt(-b*log(f)/x^2))","A",0
148,1,28,0,1.490789," ","integrate(f^(a+b/x^2)/x^4,x, algorithm=""maxima"")","\frac{f^{a} \Gamma\left(\frac{3}{2}, -\frac{b \log\left(f\right)}{x^{2}}\right)}{2 \, x^{3} \left(-\frac{b \log\left(f\right)}{x^{2}}\right)^{\frac{3}{2}}}"," ",0,"1/2*f^a*gamma(3/2, -b*log(f)/x^2)/(x^3*(-b*log(f)/x^2)^(3/2))","A",0
149,1,28,0,1.274856," ","integrate(f^(a+b/x^2)/x^6,x, algorithm=""maxima"")","\frac{f^{a} \Gamma\left(\frac{5}{2}, -\frac{b \log\left(f\right)}{x^{2}}\right)}{2 \, x^{5} \left(-\frac{b \log\left(f\right)}{x^{2}}\right)^{\frac{5}{2}}}"," ",0,"1/2*f^a*gamma(5/2, -b*log(f)/x^2)/(x^5*(-b*log(f)/x^2)^(5/2))","A",0
150,1,28,0,1.273927," ","integrate(f^(a+b/x^2)/x^8,x, algorithm=""maxima"")","\frac{f^{a} \Gamma\left(\frac{7}{2}, -\frac{b \log\left(f\right)}{x^{2}}\right)}{2 \, x^{7} \left(-\frac{b \log\left(f\right)}{x^{2}}\right)^{\frac{7}{2}}}"," ",0,"1/2*f^a*gamma(7/2, -b*log(f)/x^2)/(x^7*(-b*log(f)/x^2)^(7/2))","A",0
151,1,28,0,1.311095," ","integrate(f^(a+b/x^2)/x^10,x, algorithm=""maxima"")","\frac{f^{a} \Gamma\left(\frac{9}{2}, -\frac{b \log\left(f\right)}{x^{2}}\right)}{2 \, x^{9} \left(-\frac{b \log\left(f\right)}{x^{2}}\right)^{\frac{9}{2}}}"," ",0,"1/2*f^a*gamma(9/2, -b*log(f)/x^2)/(x^9*(-b*log(f)/x^2)^(9/2))","A",0
152,1,28,0,1.283055," ","integrate(f^(a+b/x^2)/x^12,x, algorithm=""maxima"")","\frac{f^{a} \Gamma\left(\frac{11}{2}, -\frac{b \log\left(f\right)}{x^{2}}\right)}{2 \, x^{11} \left(-\frac{b \log\left(f\right)}{x^{2}}\right)^{\frac{11}{2}}}"," ",0,"1/2*f^a*gamma(11/2, -b*log(f)/x^2)/(x^11*(-b*log(f)/x^2)^(11/2))","A",0
153,1,28,0,1.224317," ","integrate(f^(a+b/x^2)/x^14,x, algorithm=""maxima"")","\frac{f^{a} \Gamma\left(\frac{13}{2}, -\frac{b \log\left(f\right)}{x^{2}}\right)}{2 \, x^{13} \left(-\frac{b \log\left(f\right)}{x^{2}}\right)^{\frac{13}{2}}}"," ",0,"1/2*f^a*gamma(13/2, -b*log(f)/x^2)/(x^13*(-b*log(f)/x^2)^(13/2))","A",0
154,1,38,0,1.294721," ","integrate(f^(a+b/x^3)*x^m,x, algorithm=""maxima"")","\frac{1}{3} \, f^{a} x^{m + 1} \left(-\frac{b \log\left(f\right)}{x^{3}}\right)^{\frac{1}{3} \, m + \frac{1}{3}} \Gamma\left(-\frac{1}{3} \, m - \frac{1}{3}, -\frac{b \log\left(f\right)}{x^{3}}\right)"," ",0,"1/3*f^a*x^(m + 1)*(-b*log(f)/x^3)^(1/3*m + 1/3)*gamma(-1/3*m - 1/3, -b*log(f)/x^3)","A",0
155,1,22,0,1.626093," ","integrate(f^(a+b/x^3)*x^14,x, algorithm=""maxima"")","-\frac{1}{3} \, b^{5} f^{a} \Gamma\left(-5, -\frac{b \log\left(f\right)}{x^{3}}\right) \log\left(f\right)^{5}"," ",0,"-1/3*b^5*f^a*gamma(-5, -b*log(f)/x^3)*log(f)^5","B",0
156,1,22,0,1.285044," ","integrate(f^(a+b/x^3)*x^11,x, algorithm=""maxima"")","\frac{1}{3} \, b^{4} f^{a} \Gamma\left(-4, -\frac{b \log\left(f\right)}{x^{3}}\right) \log\left(f\right)^{4}"," ",0,"1/3*b^4*f^a*gamma(-4, -b*log(f)/x^3)*log(f)^4","B",0
157,1,22,0,1.266736," ","integrate(f^(a+b/x^3)*x^8,x, algorithm=""maxima"")","-\frac{1}{3} \, b^{3} f^{a} \Gamma\left(-3, -\frac{b \log\left(f\right)}{x^{3}}\right) \log\left(f\right)^{3}"," ",0,"-1/3*b^3*f^a*gamma(-3, -b*log(f)/x^3)*log(f)^3","A",0
158,1,22,0,1.347708," ","integrate(f^(a+b/x^3)*x^5,x, algorithm=""maxima"")","\frac{1}{3} \, b^{2} f^{a} \Gamma\left(-2, -\frac{b \log\left(f\right)}{x^{3}}\right) \log\left(f\right)^{2}"," ",0,"1/3*b^2*f^a*gamma(-2, -b*log(f)/x^3)*log(f)^2","A",0
159,1,18,0,1.246103," ","integrate(f^(a+b/x^3)*x^2,x, algorithm=""maxima"")","-\frac{1}{3} \, b f^{a} \Gamma\left(-1, -\frac{b \log\left(f\right)}{x^{3}}\right) \log\left(f\right)"," ",0,"-1/3*b*f^a*gamma(-1, -b*log(f)/x^3)*log(f)","A",0
160,1,13,0,1.284876," ","integrate(f^(a+b/x^3)/x,x, algorithm=""maxima"")","-\frac{1}{3} \, f^{a} {\rm Ei}\left(\frac{b \log\left(f\right)}{x^{3}}\right)"," ",0,"-1/3*f^a*Ei(b*log(f)/x^3)","A",0
161,1,18,0,0.927393," ","integrate(f^(a+b/x^3)/x^4,x, algorithm=""maxima"")","-\frac{f^{a + \frac{b}{x^{3}}}}{3 \, b \log\left(f\right)}"," ",0,"-1/3*f^(a + b/x^3)/(b*log(f))","A",0
162,1,22,0,1.287615," ","integrate(f^(a+b/x^3)/x^7,x, algorithm=""maxima"")","\frac{f^{a} \Gamma\left(2, -\frac{b \log\left(f\right)}{x^{3}}\right)}{3 \, b^{2} \log\left(f\right)^{2}}"," ",0,"1/3*f^a*gamma(2, -b*log(f)/x^3)/(b^2*log(f)^2)","C",0
163,1,22,0,1.309953," ","integrate(f^(a+b/x^3)/x^10,x, algorithm=""maxima"")","-\frac{f^{a} \Gamma\left(3, -\frac{b \log\left(f\right)}{x^{3}}\right)}{3 \, b^{3} \log\left(f\right)^{3}}"," ",0,"-1/3*f^a*gamma(3, -b*log(f)/x^3)/(b^3*log(f)^3)","C",0
164,1,22,0,1.278742," ","integrate(f^(a+b/x^3)/x^13,x, algorithm=""maxima"")","\frac{f^{a} \Gamma\left(4, -\frac{b \log\left(f\right)}{x^{3}}\right)}{3 \, b^{4} \log\left(f\right)^{4}}"," ",0,"1/3*f^a*gamma(4, -b*log(f)/x^3)/(b^4*log(f)^4)","C",0
165,1,22,0,1.388485," ","integrate(f^(a+b/x^3)/x^16,x, algorithm=""maxima"")","-\frac{f^{a} \Gamma\left(5, -\frac{b \log\left(f\right)}{x^{3}}\right)}{3 \, b^{5} \log\left(f\right)^{5}}"," ",0,"-1/3*f^a*gamma(5, -b*log(f)/x^3)/(b^5*log(f)^5)","C",0
166,1,22,0,1.126688," ","integrate(f^(a+b/x^3)/x^19,x, algorithm=""maxima"")","\frac{f^{a} \Gamma\left(6, -\frac{b \log\left(f\right)}{x^{3}}\right)}{3 \, b^{6} \log\left(f\right)^{6}}"," ",0,"1/3*f^a*gamma(6, -b*log(f)/x^3)/(b^6*log(f)^6)","C",0
167,1,28,0,1.330060," ","integrate(f^(a+b/x^3)*x^4,x, algorithm=""maxima"")","\frac{1}{3} \, f^{a} x^{5} \left(-\frac{b \log\left(f\right)}{x^{3}}\right)^{\frac{5}{3}} \Gamma\left(-\frac{5}{3}, -\frac{b \log\left(f\right)}{x^{3}}\right)"," ",0,"1/3*f^a*x^5*(-b*log(f)/x^3)^(5/3)*gamma(-5/3, -b*log(f)/x^3)","A",0
168,1,28,0,1.280942," ","integrate(f^(a+b/x^3)*x^3,x, algorithm=""maxima"")","\frac{1}{3} \, f^{a} x^{4} \left(-\frac{b \log\left(f\right)}{x^{3}}\right)^{\frac{4}{3}} \Gamma\left(-\frac{4}{3}, -\frac{b \log\left(f\right)}{x^{3}}\right)"," ",0,"1/3*f^a*x^4*(-b*log(f)/x^3)^(4/3)*gamma(-4/3, -b*log(f)/x^3)","A",0
169,1,28,0,1.303479," ","integrate(f^(a+b/x^3)*x,x, algorithm=""maxima"")","\frac{1}{3} \, f^{a} x^{2} \left(-\frac{b \log\left(f\right)}{x^{3}}\right)^{\frac{2}{3}} \Gamma\left(-\frac{2}{3}, -\frac{b \log\left(f\right)}{x^{3}}\right)"," ",0,"1/3*f^a*x^2*(-b*log(f)/x^3)^(2/3)*gamma(-2/3, -b*log(f)/x^3)","A",0
170,1,26,0,1.238987," ","integrate(f^(a+b/x^3),x, algorithm=""maxima"")","\frac{1}{3} \, f^{a} x \left(-\frac{b \log\left(f\right)}{x^{3}}\right)^{\frac{1}{3}} \Gamma\left(-\frac{1}{3}, -\frac{b \log\left(f\right)}{x^{3}}\right)"," ",0,"1/3*f^a*x*(-b*log(f)/x^3)^(1/3)*gamma(-1/3, -b*log(f)/x^3)","A",0
171,1,28,0,1.382791," ","integrate(f^(a+b/x^3)/x^2,x, algorithm=""maxima"")","\frac{f^{a} \Gamma\left(\frac{1}{3}, -\frac{b \log\left(f\right)}{x^{3}}\right)}{3 \, x \left(-\frac{b \log\left(f\right)}{x^{3}}\right)^{\frac{1}{3}}}"," ",0,"1/3*f^a*gamma(1/3, -b*log(f)/x^3)/(x*(-b*log(f)/x^3)^(1/3))","A",0
172,1,28,0,1.399993," ","integrate(f^(a+b/x^3)/x^3,x, algorithm=""maxima"")","\frac{f^{a} \Gamma\left(\frac{2}{3}, -\frac{b \log\left(f\right)}{x^{3}}\right)}{3 \, x^{2} \left(-\frac{b \log\left(f\right)}{x^{3}}\right)^{\frac{2}{3}}}"," ",0,"1/3*f^a*gamma(2/3, -b*log(f)/x^3)/(x^2*(-b*log(f)/x^3)^(2/3))","A",0
173,1,28,0,1.043211," ","integrate(f^(a+b/x^3)/x^5,x, algorithm=""maxima"")","\frac{f^{a} \Gamma\left(\frac{4}{3}, -\frac{b \log\left(f\right)}{x^{3}}\right)}{3 \, x^{4} \left(-\frac{b \log\left(f\right)}{x^{3}}\right)^{\frac{4}{3}}}"," ",0,"1/3*f^a*gamma(4/3, -b*log(f)/x^3)/(x^4*(-b*log(f)/x^3)^(4/3))","A",0
174,1,47,0,1.166273," ","integrate(f^(a+b*x^n)*x^m,x, algorithm=""maxima"")","-\frac{f^{a} x^{m + 1} \Gamma\left(\frac{m + 1}{n}, -b x^{n} \log\left(f\right)\right)}{\left(-b x^{n} \log\left(f\right)\right)^{\frac{m + 1}{n}} n}"," ",0,"-f^a*x^(m + 1)*gamma((m + 1)/n, -b*x^n*log(f))/((-b*x^n*log(f))^((m + 1)/n)*n)","A",0
175,1,41,0,1.051453," ","integrate(f^(a+b*x^n)*x^3,x, algorithm=""maxima"")","-\frac{f^{a} x^{4} \Gamma\left(\frac{4}{n}, -b x^{n} \log\left(f\right)\right)}{\left(-b x^{n} \log\left(f\right)\right)^{\frac{4}{n}} n}"," ",0,"-f^a*x^4*gamma(4/n, -b*x^n*log(f))/((-b*x^n*log(f))^(4/n)*n)","A",0
176,1,41,0,0.954665," ","integrate(f^(a+b*x^n)*x^2,x, algorithm=""maxima"")","-\frac{f^{a} x^{3} \Gamma\left(\frac{3}{n}, -b x^{n} \log\left(f\right)\right)}{\left(-b x^{n} \log\left(f\right)\right)^{\frac{3}{n}} n}"," ",0,"-f^a*x^3*gamma(3/n, -b*x^n*log(f))/((-b*x^n*log(f))^(3/n)*n)","A",0
177,1,41,0,1.076078," ","integrate(f^(a+b*x^n)*x,x, algorithm=""maxima"")","-\frac{f^{a} x^{2} \Gamma\left(\frac{2}{n}, -b x^{n} \log\left(f\right)\right)}{\left(-b x^{n} \log\left(f\right)\right)^{\frac{2}{n}} n}"," ",0,"-f^a*x^2*gamma(2/n, -b*x^n*log(f))/((-b*x^n*log(f))^(2/n)*n)","A",0
178,1,35,0,1.088214," ","integrate(f^(a+b*x^n),x, algorithm=""maxima"")","-\frac{f^{a} x \Gamma\left(\frac{1}{n}, -b x^{n} \log\left(f\right)\right)}{\left(-b x^{n} \log\left(f\right)\right)^{\left(\frac{1}{n}\right)} n}"," ",0,"-f^a*x*gamma(1/n, -b*x^n*log(f))/((-b*x^n*log(f))^(1/n)*n)","A",0
179,1,15,0,0.940761," ","integrate(f^(a+b*x^n)/x,x, algorithm=""maxima"")","\frac{f^{a} {\rm Ei}\left(b x^{n} \log\left(f\right)\right)}{n}"," ",0,"f^a*Ei(b*x^n*log(f))/n","A",0
180,1,37,0,1.233075," ","integrate(f^(a+b*x^n)/x^2,x, algorithm=""maxima"")","-\frac{\left(-b x^{n} \log\left(f\right)\right)^{\left(\frac{1}{n}\right)} f^{a} \Gamma\left(-\frac{1}{n}, -b x^{n} \log\left(f\right)\right)}{n x}"," ",0,"-(-b*x^n*log(f))^(1/n)*f^a*gamma(-1/n, -b*x^n*log(f))/(n*x)","A",0
181,1,39,0,1.162538," ","integrate(f^(a+b*x^n)/x^3,x, algorithm=""maxima"")","-\frac{\left(-b x^{n} \log\left(f\right)\right)^{\frac{2}{n}} f^{a} \Gamma\left(-\frac{2}{n}, -b x^{n} \log\left(f\right)\right)}{n x^{2}}"," ",0,"-(-b*x^n*log(f))^(2/n)*f^a*gamma(-2/n, -b*x^n*log(f))/(n*x^2)","A",0
182,1,39,0,1.138457," ","integrate(f^(a+b*x^n)/x^4,x, algorithm=""maxima"")","-\frac{\left(-b x^{n} \log\left(f\right)\right)^{\frac{3}{n}} f^{a} \Gamma\left(-\frac{3}{n}, -b x^{n} \log\left(f\right)\right)}{n x^{3}}"," ",0,"-(-b*x^n*log(f))^(3/n)*f^a*gamma(-3/n, -b*x^n*log(f))/(n*x^3)","A",0
183,1,51,0,0.692775," ","integrate(f^(a+b*x^n)*x^(-1+3*n),x, algorithm=""maxima"")","\frac{{\left(b^{2} f^{a} x^{2 \, n} \log\left(f\right)^{2} - 2 \, b f^{a} x^{n} \log\left(f\right) + 2 \, f^{a}\right)} f^{b x^{n}}}{b^{3} n \log\left(f\right)^{3}}"," ",0,"(b^2*f^a*x^(2*n)*log(f)^2 - 2*b*f^a*x^n*log(f) + 2*f^a)*f^(b*x^n)/(b^3*n*log(f)^3)","A",0
184,1,34,0,0.783302," ","integrate(f^(a+b*x^n)*x^(-1+2*n),x, algorithm=""maxima"")","\frac{{\left(b f^{a} x^{n} \log\left(f\right) - f^{a}\right)} f^{b x^{n}}}{b^{2} n \log\left(f\right)^{2}}"," ",0,"(b*f^a*x^n*log(f) - f^a)*f^(b*x^n)/(b^2*n*log(f)^2)","A",0
185,1,20,0,0.658253," ","integrate(f^(a+b*x^n)*x^(-1+n),x, algorithm=""maxima"")","\frac{f^{b x^{n} + a}}{b n \log\left(f\right)}"," ",0,"f^(b*x^n + a)/(b*n*log(f))","A",0
186,1,15,0,0.899073," ","integrate(f^(a+b*x^n)/x,x, algorithm=""maxima"")","\frac{f^{a} {\rm Ei}\left(b x^{n} \log\left(f\right)\right)}{n}"," ",0,"f^a*Ei(b*x^n*log(f))/n","A",0
187,1,20,0,1.028852," ","integrate(f^(a+b*x^n)*x^(-1-n),x, algorithm=""maxima"")","\frac{b f^{a} \Gamma\left(-1, -b x^{n} \log\left(f\right)\right) \log\left(f\right)}{n}"," ",0,"b*f^a*gamma(-1, -b*x^n*log(f))*log(f)/n","A",0
188,1,25,0,1.013892," ","integrate(f^(a+b*x^n)*x^(-1-2*n),x, algorithm=""maxima"")","-\frac{b^{2} f^{a} \Gamma\left(-2, -b x^{n} \log\left(f\right)\right) \log\left(f\right)^{2}}{n}"," ",0,"-b^2*f^a*gamma(-2, -b*x^n*log(f))*log(f)^2/n","A",0
189,1,33,0,1.212569," ","integrate(f^(a+b*x^n)*x^(-1+5/2*n),x, algorithm=""maxima"")","-\frac{f^{a} x^{\frac{5}{2} \, n} \Gamma\left(\frac{5}{2}, -b x^{n} \log\left(f\right)\right)}{\left(-b x^{n} \log\left(f\right)\right)^{\frac{5}{2}} n}"," ",0,"-f^a*x^(5/2*n)*gamma(5/2, -b*x^n*log(f))/((-b*x^n*log(f))^(5/2)*n)","A",0
190,1,33,0,1.074929," ","integrate(f^(a+b*x^n)*x^(-1+3/2*n),x, algorithm=""maxima"")","-\frac{f^{a} x^{\frac{3}{2} \, n} \Gamma\left(\frac{3}{2}, -b x^{n} \log\left(f\right)\right)}{\left(-b x^{n} \log\left(f\right)\right)^{\frac{3}{2}} n}"," ",0,"-f^a*x^(3/2*n)*gamma(3/2, -b*x^n*log(f))/((-b*x^n*log(f))^(3/2)*n)","A",0
191,1,38,0,0.937651," ","integrate(f^(a+b*x^n)*x^(-1+1/2*n),x, algorithm=""maxima"")","\frac{\sqrt{\pi} f^{a} x^{\frac{1}{2} \, n} {\left(\operatorname{erf}\left(\sqrt{-b x^{n} \log\left(f\right)}\right) - 1\right)}}{\sqrt{-b x^{n} \log\left(f\right)} n}"," ",0,"sqrt(pi)*f^a*x^(1/2*n)*(erf(sqrt(-b*x^n*log(f))) - 1)/(sqrt(-b*x^n*log(f))*n)","A",0
192,1,35,0,0.975379," ","integrate(f^(a+b*x^n)*x^(-1-1/2*n),x, algorithm=""maxima"")","-\frac{\sqrt{-b x^{n} \log\left(f\right)} f^{a} \Gamma\left(-\frac{1}{2}, -b x^{n} \log\left(f\right)\right)}{n x^{\frac{1}{2} \, n}}"," ",0,"-sqrt(-b*x^n*log(f))*f^a*gamma(-1/2, -b*x^n*log(f))/(n*x^(1/2*n))","A",0
193,1,35,0,1.038254," ","integrate(f^(a+b*x^n)*x^(-1-3/2*n),x, algorithm=""maxima"")","-\frac{\left(-b x^{n} \log\left(f\right)\right)^{\frac{3}{2}} f^{a} \Gamma\left(-\frac{3}{2}, -b x^{n} \log\left(f\right)\right)}{n x^{\frac{3}{2} \, n}}"," ",0,"-(-b*x^n*log(f))^(3/2)*f^a*gamma(-3/2, -b*x^n*log(f))/(n*x^(3/2*n))","A",0
194,1,9,0,0.518049," ","integrate(exp(-.1*x)*x,x, algorithm=""maxima"")","-10 \, {\left(x + 10\right)} e^{\left(-\frac{1}{10} \, x\right)}"," ",0,"-10*(x + 10)*e^(-1/10*x)","A",0
195,1,264,0,1.702933," ","integrate(f^(c*(b*x+a)^2)*x^3,x, algorithm=""maxima"")","-\frac{\frac{\sqrt{\pi} {\left(b^{2} c x + a b c\right)} a^{3} c^{3} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b^{2} c x + a b c\right)}^{2} \log\left(f\right)}{b^{2} c}}\right) - 1\right)} \log\left(f\right)^{4}}{\left(c \log\left(f\right)\right)^{\frac{7}{2}} b^{4} \sqrt{-\frac{{\left(b^{2} c x + a b c\right)}^{2} \log\left(f\right)}{b^{2} c}}} - \frac{3 \, a^{2} c^{3} f^{\frac{{\left(b^{2} c x + a b c\right)}^{2}}{b^{2} c}} \log\left(f\right)^{3}}{\left(c \log\left(f\right)\right)^{\frac{7}{2}} b^{3}} - \frac{3 \, {\left(b^{2} c x + a b c\right)}^{3} a c \Gamma\left(\frac{3}{2}, -\frac{{\left(b^{2} c x + a b c\right)}^{2} \log\left(f\right)}{b^{2} c}\right) \log\left(f\right)^{4}}{\left(c \log\left(f\right)\right)^{\frac{7}{2}} b^{6} \left(-\frac{{\left(b^{2} c x + a b c\right)}^{2} \log\left(f\right)}{b^{2} c}\right)^{\frac{3}{2}}} + \frac{c^{2} \Gamma\left(2, -\frac{{\left(b^{2} c x + a b c\right)}^{2} \log\left(f\right)}{b^{2} c}\right) \log\left(f\right)^{2}}{\left(c \log\left(f\right)\right)^{\frac{7}{2}} b^{3}}}{2 \, \sqrt{c \log\left(f\right)} b}"," ",0,"-1/2*(sqrt(pi)*(b^2*c*x + a*b*c)*a^3*c^3*(erf(sqrt(-(b^2*c*x + a*b*c)^2*log(f)/(b^2*c))) - 1)*log(f)^4/((c*log(f))^(7/2)*b^4*sqrt(-(b^2*c*x + a*b*c)^2*log(f)/(b^2*c))) - 3*a^2*c^3*f^((b^2*c*x + a*b*c)^2/(b^2*c))*log(f)^3/((c*log(f))^(7/2)*b^3) - 3*(b^2*c*x + a*b*c)^3*a*c*gamma(3/2, -(b^2*c*x + a*b*c)^2*log(f)/(b^2*c))*log(f)^4/((c*log(f))^(7/2)*b^6*(-(b^2*c*x + a*b*c)^2*log(f)/(b^2*c))^(3/2)) + c^2*gamma(2, -(b^2*c*x + a*b*c)^2*log(f)/(b^2*c))*log(f)^2/((c*log(f))^(7/2)*b^3))/(sqrt(c*log(f))*b)","A",0
196,1,218,0,1.316483," ","integrate(f^(c*(b*x+a)^2)*x^2,x, algorithm=""maxima"")","\frac{\frac{\sqrt{\pi} {\left(b^{2} c x + a b c\right)} a^{2} c^{2} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b^{2} c x + a b c\right)}^{2} \log\left(f\right)}{b^{2} c}}\right) - 1\right)} \log\left(f\right)^{3}}{\left(c \log\left(f\right)\right)^{\frac{5}{2}} b^{3} \sqrt{-\frac{{\left(b^{2} c x + a b c\right)}^{2} \log\left(f\right)}{b^{2} c}}} - \frac{2 \, a c^{2} f^{\frac{{\left(b^{2} c x + a b c\right)}^{2}}{b^{2} c}} \log\left(f\right)^{2}}{\left(c \log\left(f\right)\right)^{\frac{5}{2}} b^{2}} - \frac{{\left(b^{2} c x + a b c\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b^{2} c x + a b c\right)}^{2} \log\left(f\right)}{b^{2} c}\right) \log\left(f\right)^{3}}{\left(c \log\left(f\right)\right)^{\frac{5}{2}} b^{5} \left(-\frac{{\left(b^{2} c x + a b c\right)}^{2} \log\left(f\right)}{b^{2} c}\right)^{\frac{3}{2}}}}{2 \, \sqrt{c \log\left(f\right)} b}"," ",0,"1/2*(sqrt(pi)*(b^2*c*x + a*b*c)*a^2*c^2*(erf(sqrt(-(b^2*c*x + a*b*c)^2*log(f)/(b^2*c))) - 1)*log(f)^3/((c*log(f))^(5/2)*b^3*sqrt(-(b^2*c*x + a*b*c)^2*log(f)/(b^2*c))) - 2*a*c^2*f^((b^2*c*x + a*b*c)^2/(b^2*c))*log(f)^2/((c*log(f))^(5/2)*b^2) - (b^2*c*x + a*b*c)^3*gamma(3/2, -(b^2*c*x + a*b*c)^2*log(f)/(b^2*c))*log(f)^3/((c*log(f))^(5/2)*b^5*(-(b^2*c*x + a*b*c)^2*log(f)/(b^2*c))^(3/2)))/(sqrt(c*log(f))*b)","A",0
197,1,131,0,1.265922," ","integrate(f^(c*(b*x+a)^2)*x,x, algorithm=""maxima"")","-\frac{\frac{\sqrt{\pi} {\left(b^{2} c x + a b c\right)} a c {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b^{2} c x + a b c\right)}^{2} \log\left(f\right)}{b^{2} c}}\right) - 1\right)} \log\left(f\right)^{2}}{\left(c \log\left(f\right)\right)^{\frac{3}{2}} b^{2} \sqrt{-\frac{{\left(b^{2} c x + a b c\right)}^{2} \log\left(f\right)}{b^{2} c}}} - \frac{c f^{\frac{{\left(b^{2} c x + a b c\right)}^{2}}{b^{2} c}} \log\left(f\right)}{\left(c \log\left(f\right)\right)^{\frac{3}{2}} b}}{2 \, \sqrt{c \log\left(f\right)} b}"," ",0,"-1/2*(sqrt(pi)*(b^2*c*x + a*b*c)*a*c*(erf(sqrt(-(b^2*c*x + a*b*c)^2*log(f)/(b^2*c))) - 1)*log(f)^2/((c*log(f))^(3/2)*b^2*sqrt(-(b^2*c*x + a*b*c)^2*log(f)/(b^2*c))) - c*f^((b^2*c*x + a*b*c)^2/(b^2*c))*log(f)/((c*log(f))^(3/2)*b))/(sqrt(c*log(f))*b)","B",0
198,1,40,0,0.594732," ","integrate(f^(c*(b*x+a)^2),x, algorithm=""maxima"")","\frac{\sqrt{\pi} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} b x - \frac{a c \log\left(f\right)}{\sqrt{-c \log\left(f\right)}}\right)}{2 \, \sqrt{-c \log\left(f\right)} b}"," ",0,"1/2*sqrt(pi)*erf(sqrt(-c*log(f))*b*x - a*c*log(f)/sqrt(-c*log(f)))/(sqrt(-c*log(f))*b)","A",0
199,0,0,0,0.000000," ","integrate(f^(c*(b*x+a)^2)/x,x, algorithm=""maxima"")","\int \frac{f^{{\left(b x + a\right)}^{2} c}}{x}\,{d x}"," ",0,"integrate(f^((b*x + a)^2*c)/x, x)","F",0
200,0,0,0,0.000000," ","integrate(f^(c*(b*x+a)^2)/x^2,x, algorithm=""maxima"")","\int \frac{f^{{\left(b x + a\right)}^{2} c}}{x^{2}}\,{d x}"," ",0,"integrate(f^((b*x + a)^2*c)/x^2, x)","F",0
201,0,0,0,0.000000," ","integrate(f^(c*(b*x+a)^2)/x^3,x, algorithm=""maxima"")","\int \frac{f^{{\left(b x + a\right)}^{2} c}}{x^{3}}\,{d x}"," ",0,"integrate(f^((b*x + a)^2*c)/x^3, x)","F",0
202,0,0,0,0.000000," ","integrate(f^(c*(b*x+a)^3)*x^2,x, algorithm=""maxima"")","\int f^{{\left(b x + a\right)}^{3} c} x^{2}\,{d x}"," ",0,"integrate(f^((b*x + a)^3*c)*x^2, x)","F",0
203,0,0,0,0.000000," ","integrate(f^(c*(b*x+a)^3)*x,x, algorithm=""maxima"")","\int f^{{\left(b x + a\right)}^{3} c} x\,{d x}"," ",0,"integrate(f^((b*x + a)^3*c)*x, x)","F",0
204,0,0,0,0.000000," ","integrate(f^(c*(b*x+a)^3),x, algorithm=""maxima"")","\int f^{{\left(b x + a\right)}^{3} c}\,{d x}"," ",0,"integrate(f^((b*x + a)^3*c), x)","F",0
205,0,0,0,0.000000," ","integrate(f^(c*(b*x+a)^3)/x,x, algorithm=""maxima"")","\int \frac{f^{{\left(b x + a\right)}^{3} c}}{x}\,{d x}"," ",0,"integrate(f^((b*x + a)^3*c)/x, x)","F",0
206,0,0,0,0.000000," ","integrate(f^(c*(b*x+a)^3)/x^2,x, algorithm=""maxima"")","\int \frac{f^{{\left(b x + a\right)}^{3} c}}{x^{2}}\,{d x}"," ",0,"integrate(f^((b*x + a)^3*c)/x^2, x)","F",0
207,0,0,0,0.000000," ","integrate(f^(c*(b*x+a)^3)/x^3,x, algorithm=""maxima"")","\int \frac{f^{{\left(b x + a\right)}^{3} c}}{x^{3}}\,{d x}"," ",0,"integrate(f^((b*x + a)^3*c)/x^3, x)","F",0
208,0,0,0,0.000000," ","integrate(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)*x^4,x, algorithm=""maxima"")","\int x^{4} e^{\left(b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right)}\,{d x}"," ",0,"integrate(x^4*e^(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3), x)","F",0
209,0,0,0,0.000000," ","integrate(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)*x^3,x, algorithm=""maxima"")","\int x^{3} e^{\left(b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right)}\,{d x}"," ",0,"integrate(x^3*e^(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3), x)","F",0
210,0,0,0,0.000000," ","integrate(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)*x^2,x, algorithm=""maxima"")","\int x^{2} e^{\left(b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right)}\,{d x}"," ",0,"integrate(x^2*e^(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3), x)","F",0
211,0,0,0,0.000000," ","integrate(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)*x,x, algorithm=""maxima"")","\int x e^{\left(b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right)}\,{d x}"," ",0,"integrate(x*e^(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3), x)","F",0
212,0,0,0,0.000000," ","integrate(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3),x, algorithm=""maxima"")","\int e^{\left(b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right)}\,{d x}"," ",0,"integrate(e^(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3), x)","F",0
213,0,0,0,0.000000," ","integrate(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)/x,x, algorithm=""maxima"")","\int \frac{e^{\left(b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right)}}{x}\,{d x}"," ",0,"integrate(e^(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3)/x, x)","F",0
214,0,0,0,0.000000," ","integrate(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)*x^m,x, algorithm=""maxima"")","\int x^{m} e^{\left(b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right)}\,{d x}"," ",0,"integrate(x^m*e^(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3), x)","F",0
215,1,19,0,0.735171," ","integrate(exp((5+3*x)^(1/2)),x, algorithm=""maxima"")","\frac{2}{3} \, {\left(\sqrt{3 \, x + 5} - 1\right)} e^{\left(\sqrt{3 \, x + 5}\right)}"," ",0,"2/3*(sqrt(3*x + 5) - 1)*e^(sqrt(3*x + 5))","A",0
216,0,0,0,0.000000," ","integrate(f^(c/(b*x+a))*x^4,x, algorithm=""maxima"")","\frac{{\left(24 \, b^{4} x^{5} + 6 \, b^{3} c x^{4} \log\left(f\right) + 2 \, {\left(b^{2} c^{2} \log\left(f\right)^{2} - 8 \, a b^{2} c \log\left(f\right)\right)} x^{3} + {\left(b c^{3} \log\left(f\right)^{3} - 14 \, a b c^{2} \log\left(f\right)^{2} + 36 \, a^{2} b c \log\left(f\right)\right)} x^{2} + {\left(c^{4} \log\left(f\right)^{4} - 18 \, a c^{3} \log\left(f\right)^{3} + 86 \, a^{2} c^{2} \log\left(f\right)^{2} - 96 \, a^{3} c \log\left(f\right)\right)} x\right)} f^{\frac{c}{b x + a}}}{120 \, b^{4}} + \int -\frac{{\left(a^{2} c^{4} \log\left(f\right)^{4} - 18 \, a^{3} c^{3} \log\left(f\right)^{3} + 86 \, a^{4} c^{2} \log\left(f\right)^{2} - 96 \, a^{5} c \log\left(f\right) - {\left(b c^{5} \log\left(f\right)^{5} - 20 \, a b c^{4} \log\left(f\right)^{4} + 120 \, a^{2} b c^{3} \log\left(f\right)^{3} - 240 \, a^{3} b c^{2} \log\left(f\right)^{2} + 120 \, a^{4} b c \log\left(f\right)\right)} x\right)} f^{\frac{c}{b x + a}}}{120 \, {\left(b^{6} x^{2} + 2 \, a b^{5} x + a^{2} b^{4}\right)}}\,{d x}"," ",0,"1/120*(24*b^4*x^5 + 6*b^3*c*x^4*log(f) + 2*(b^2*c^2*log(f)^2 - 8*a*b^2*c*log(f))*x^3 + (b*c^3*log(f)^3 - 14*a*b*c^2*log(f)^2 + 36*a^2*b*c*log(f))*x^2 + (c^4*log(f)^4 - 18*a*c^3*log(f)^3 + 86*a^2*c^2*log(f)^2 - 96*a^3*c*log(f))*x)*f^(c/(b*x + a))/b^4 + integrate(-1/120*(a^2*c^4*log(f)^4 - 18*a^3*c^3*log(f)^3 + 86*a^4*c^2*log(f)^2 - 96*a^5*c*log(f) - (b*c^5*log(f)^5 - 20*a*b*c^4*log(f)^4 + 120*a^2*b*c^3*log(f)^3 - 240*a^3*b*c^2*log(f)^2 + 120*a^4*b*c*log(f))*x)*f^(c/(b*x + a))/(b^6*x^2 + 2*a*b^5*x + a^2*b^4), x)","F",0
217,0,0,0,0.000000," ","integrate(f^(c/(b*x+a))*x^3,x, algorithm=""maxima"")","\frac{{\left(6 \, b^{3} x^{4} + 2 \, b^{2} c x^{3} \log\left(f\right) + {\left(b c^{2} \log\left(f\right)^{2} - 6 \, a b c \log\left(f\right)\right)} x^{2} + {\left(c^{3} \log\left(f\right)^{3} - 10 \, a c^{2} \log\left(f\right)^{2} + 18 \, a^{2} c \log\left(f\right)\right)} x\right)} f^{\frac{c}{b x + a}}}{24 \, b^{3}} - \int \frac{{\left(a^{2} c^{3} \log\left(f\right)^{3} - 10 \, a^{3} c^{2} \log\left(f\right)^{2} + 18 \, a^{4} c \log\left(f\right) - {\left(b c^{4} \log\left(f\right)^{4} - 12 \, a b c^{3} \log\left(f\right)^{3} + 36 \, a^{2} b c^{2} \log\left(f\right)^{2} - 24 \, a^{3} b c \log\left(f\right)\right)} x\right)} f^{\frac{c}{b x + a}}}{24 \, {\left(b^{5} x^{2} + 2 \, a b^{4} x + a^{2} b^{3}\right)}}\,{d x}"," ",0,"1/24*(6*b^3*x^4 + 2*b^2*c*x^3*log(f) + (b*c^2*log(f)^2 - 6*a*b*c*log(f))*x^2 + (c^3*log(f)^3 - 10*a*c^2*log(f)^2 + 18*a^2*c*log(f))*x)*f^(c/(b*x + a))/b^3 - integrate(1/24*(a^2*c^3*log(f)^3 - 10*a^3*c^2*log(f)^2 + 18*a^4*c*log(f) - (b*c^4*log(f)^4 - 12*a*b*c^3*log(f)^3 + 36*a^2*b*c^2*log(f)^2 - 24*a^3*b*c*log(f))*x)*f^(c/(b*x + a))/(b^5*x^2 + 2*a*b^4*x + a^2*b^3), x)","F",0
218,0,0,0,0.000000," ","integrate(f^(c/(b*x+a))*x^2,x, algorithm=""maxima"")","\frac{{\left(2 \, b^{2} x^{3} + b c x^{2} \log\left(f\right) + {\left(c^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)\right)} x\right)} f^{\frac{c}{b x + a}}}{6 \, b^{2}} + \int -\frac{{\left(a^{2} c^{2} \log\left(f\right)^{2} - 4 \, a^{3} c \log\left(f\right) - {\left(b c^{3} \log\left(f\right)^{3} - 6 \, a b c^{2} \log\left(f\right)^{2} + 6 \, a^{2} b c \log\left(f\right)\right)} x\right)} f^{\frac{c}{b x + a}}}{6 \, {\left(b^{4} x^{2} + 2 \, a b^{3} x + a^{2} b^{2}\right)}}\,{d x}"," ",0,"1/6*(2*b^2*x^3 + b*c*x^2*log(f) + (c^2*log(f)^2 - 4*a*c*log(f))*x)*f^(c/(b*x + a))/b^2 + integrate(-1/6*(a^2*c^2*log(f)^2 - 4*a^3*c*log(f) - (b*c^3*log(f)^3 - 6*a*b*c^2*log(f)^2 + 6*a^2*b*c*log(f))*x)*f^(c/(b*x + a))/(b^4*x^2 + 2*a*b^3*x + a^2*b^2), x)","F",0
219,0,0,0,0.000000," ","integrate(f^(c/(b*x+a))*x,x, algorithm=""maxima"")","\frac{{\left(b x^{2} + c x \log\left(f\right)\right)} f^{\frac{c}{b x + a}}}{2 \, b} - \int \frac{{\left(a^{2} c \log\left(f\right) - {\left(b c^{2} \log\left(f\right)^{2} - 2 \, a b c \log\left(f\right)\right)} x\right)} f^{\frac{c}{b x + a}}}{2 \, {\left(b^{3} x^{2} + 2 \, a b^{2} x + a^{2} b\right)}}\,{d x}"," ",0,"1/2*(b*x^2 + c*x*log(f))*f^(c/(b*x + a))/b - integrate(1/2*(a^2*c*log(f) - (b*c^2*log(f)^2 - 2*a*b*c*log(f))*x)*f^(c/(b*x + a))/(b^3*x^2 + 2*a*b^2*x + a^2*b), x)","F",0
220,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)),x, algorithm=""maxima"")","b c \int \frac{f^{\frac{c}{b x + a}} x}{b^{2} x^{2} + 2 \, a b x + a^{2}}\,{d x} \log\left(f\right) + f^{\frac{c}{b x + a}} x"," ",0,"b*c*integrate(f^(c/(b*x + a))*x/(b^2*x^2 + 2*a*b*x + a^2), x)*log(f) + f^(c/(b*x + a))*x","F",0
221,0,0,0,0.000000," ","integrate(f^(c/(b*x+a))/x,x, algorithm=""maxima"")","\int \frac{f^{\frac{c}{b x + a}}}{x}\,{d x}"," ",0,"integrate(f^(c/(b*x + a))/x, x)","F",0
222,0,0,0,0.000000," ","integrate(f^(c/(b*x+a))/x^2,x, algorithm=""maxima"")","\int \frac{f^{\frac{c}{b x + a}}}{x^{2}}\,{d x}"," ",0,"integrate(f^(c/(b*x + a))/x^2, x)","F",0
223,0,0,0,0.000000," ","integrate(f^(c/(b*x+a))/x^3,x, algorithm=""maxima"")","\int \frac{f^{\frac{c}{b x + a}}}{x^{3}}\,{d x}"," ",0,"integrate(f^(c/(b*x + a))/x^3, x)","F",0
224,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^2)*x^4,x, algorithm=""maxima"")","\frac{{\left(3 \, b^{4} x^{5} + 2 \, b^{2} c x^{3} \log\left(f\right) - 9 \, a b c x^{2} \log\left(f\right) + 4 \, {\left(9 \, a^{2} c \log\left(f\right) + c^{2} \log\left(f\right)^{2}\right)} x\right)} f^{\frac{c}{b^{2} x^{2} + 2 \, a b x + a^{2}}}}{15 \, b^{4}} - \int \frac{2 \, {\left(18 \, a^{5} c \log\left(f\right) + 2 \, a^{3} c^{2} \log\left(f\right)^{2} + 15 \, {\left(2 \, a^{3} b^{2} c \log\left(f\right) + a b^{2} c^{2} \log\left(f\right)^{2}\right)} x^{2} + {\left(45 \, a^{4} b c \log\left(f\right) - 30 \, a^{2} b c^{2} \log\left(f\right)^{2} - 4 \, b c^{3} \log\left(f\right)^{3}\right)} x\right)} f^{\frac{c}{b^{2} x^{2} + 2 \, a b x + a^{2}}}}{15 \, {\left(b^{7} x^{3} + 3 \, a b^{6} x^{2} + 3 \, a^{2} b^{5} x + a^{3} b^{4}\right)}}\,{d x}"," ",0,"1/15*(3*b^4*x^5 + 2*b^2*c*x^3*log(f) - 9*a*b*c*x^2*log(f) + 4*(9*a^2*c*log(f) + c^2*log(f)^2)*x)*f^(c/(b^2*x^2 + 2*a*b*x + a^2))/b^4 - integrate(2/15*(18*a^5*c*log(f) + 2*a^3*c^2*log(f)^2 + 15*(2*a^3*b^2*c*log(f) + a*b^2*c^2*log(f)^2)*x^2 + (45*a^4*b*c*log(f) - 30*a^2*b*c^2*log(f)^2 - 4*b*c^3*log(f)^3)*x)*f^(c/(b^2*x^2 + 2*a*b*x + a^2))/(b^7*x^3 + 3*a*b^6*x^2 + 3*a^2*b^5*x + a^3*b^4), x)","F",0
225,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^2)*x^3,x, algorithm=""maxima"")","\frac{{\left(b^{3} x^{4} + b c x^{2} \log\left(f\right) - 6 \, a c x \log\left(f\right)\right)} f^{\frac{c}{b^{2} x^{2} + 2 \, a b x + a^{2}}}}{4 \, b^{3}} + \int \frac{{\left(3 \, a^{4} c \log\left(f\right) + {\left(6 \, a^{2} b^{2} c \log\left(f\right) + b^{2} c^{2} \log\left(f\right)^{2}\right)} x^{2} + 2 \, {\left(4 \, a^{3} b c \log\left(f\right) - 3 \, a b c^{2} \log\left(f\right)^{2}\right)} x\right)} f^{\frac{c}{b^{2} x^{2} + 2 \, a b x + a^{2}}}}{2 \, {\left(b^{6} x^{3} + 3 \, a b^{5} x^{2} + 3 \, a^{2} b^{4} x + a^{3} b^{3}\right)}}\,{d x}"," ",0,"1/4*(b^3*x^4 + b*c*x^2*log(f) - 6*a*c*x*log(f))*f^(c/(b^2*x^2 + 2*a*b*x + a^2))/b^3 + integrate(1/2*(3*a^4*c*log(f) + (6*a^2*b^2*c*log(f) + b^2*c^2*log(f)^2)*x^2 + 2*(4*a^3*b*c*log(f) - 3*a*b*c^2*log(f)^2)*x)*f^(c/(b^2*x^2 + 2*a*b*x + a^2))/(b^6*x^3 + 3*a*b^5*x^2 + 3*a^2*b^4*x + a^3*b^3), x)","F",0
226,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^2)*x^2,x, algorithm=""maxima"")","\frac{{\left(b^{2} x^{3} + 2 \, c x \log\left(f\right)\right)} f^{\frac{c}{b^{2} x^{2} + 2 \, a b x + a^{2}}}}{3 \, b^{2}} - \int \frac{2 \, {\left(3 \, a b^{2} c x^{2} \log\left(f\right) + a^{3} c \log\left(f\right) + {\left(3 \, a^{2} b c \log\left(f\right) - 2 \, b c^{2} \log\left(f\right)^{2}\right)} x\right)} f^{\frac{c}{b^{2} x^{2} + 2 \, a b x + a^{2}}}}{3 \, {\left(b^{5} x^{3} + 3 \, a b^{4} x^{2} + 3 \, a^{2} b^{3} x + a^{3} b^{2}\right)}}\,{d x}"," ",0,"1/3*(b^2*x^3 + 2*c*x*log(f))*f^(c/(b^2*x^2 + 2*a*b*x + a^2))/b^2 - integrate(2/3*(3*a*b^2*c*x^2*log(f) + a^3*c*log(f) + (3*a^2*b*c*log(f) - 2*b*c^2*log(f)^2)*x)*f^(c/(b^2*x^2 + 2*a*b*x + a^2))/(b^5*x^3 + 3*a*b^4*x^2 + 3*a^2*b^3*x + a^3*b^2), x)","F",0
227,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^2)*x,x, algorithm=""maxima"")","b c \int \frac{f^{\frac{c}{b^{2} x^{2} + 2 \, a b x + a^{2}}} x^{2}}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}\,{d x} \log\left(f\right) + \frac{1}{2} \, f^{\frac{c}{b^{2} x^{2} + 2 \, a b x + a^{2}}} x^{2}"," ",0,"b*c*integrate(f^(c/(b^2*x^2 + 2*a*b*x + a^2))*x^2/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3), x)*log(f) + 1/2*f^(c/(b^2*x^2 + 2*a*b*x + a^2))*x^2","F",0
228,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^2),x, algorithm=""maxima"")","2 \, b c \int \frac{f^{\frac{c}{b^{2} x^{2} + 2 \, a b x + a^{2}}} x}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}\,{d x} \log\left(f\right) + f^{\frac{c}{b^{2} x^{2} + 2 \, a b x + a^{2}}} x"," ",0,"2*b*c*integrate(f^(c/(b^2*x^2 + 2*a*b*x + a^2))*x/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3), x)*log(f) + f^(c/(b^2*x^2 + 2*a*b*x + a^2))*x","F",0
229,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^2)/x,x, algorithm=""maxima"")","\int \frac{f^{\frac{c}{{\left(b x + a\right)}^{2}}}}{x}\,{d x}"," ",0,"integrate(f^(c/(b*x + a)^2)/x, x)","F",0
230,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^2)/x^2,x, algorithm=""maxima"")","\int \frac{f^{\frac{c}{{\left(b x + a\right)}^{2}}}}{x^{2}}\,{d x}"," ",0,"integrate(f^(c/(b*x + a)^2)/x^2, x)","F",0
231,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^2)/x^3,x, algorithm=""maxima"")","\int \frac{f^{\frac{c}{{\left(b x + a\right)}^{2}}}}{x^{3}}\,{d x}"," ",0,"integrate(f^(c/(b*x + a)^2)/x^3, x)","F",0
232,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^3)*x^4,x, algorithm=""maxima"")","\frac{{\left(2 \, b^{4} x^{5} + 3 \, b c x^{2} \log\left(f\right) - 24 \, a c x \log\left(f\right)\right)} f^{\frac{c}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}}}{10 \, b^{4}} + \int \frac{3 \, {\left(20 \, a^{2} b^{3} c x^{3} \log\left(f\right) + 8 \, a^{5} c \log\left(f\right) + {\left(40 \, a^{3} b^{2} c \log\left(f\right) + 3 \, b^{2} c^{2} \log\left(f\right)^{2}\right)} x^{2} + 6 \, {\left(5 \, a^{4} b c \log\left(f\right) - 4 \, a b c^{2} \log\left(f\right)^{2}\right)} x\right)} f^{\frac{c}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}}}{10 \, {\left(b^{8} x^{4} + 4 \, a b^{7} x^{3} + 6 \, a^{2} b^{6} x^{2} + 4 \, a^{3} b^{5} x + a^{4} b^{4}\right)}}\,{d x}"," ",0,"1/10*(2*b^4*x^5 + 3*b*c*x^2*log(f) - 24*a*c*x*log(f))*f^(c/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3))/b^4 + integrate(3/10*(20*a^2*b^3*c*x^3*log(f) + 8*a^5*c*log(f) + (40*a^3*b^2*c*log(f) + 3*b^2*c^2*log(f)^2)*x^2 + 6*(5*a^4*b*c*log(f) - 4*a*b*c^2*log(f)^2)*x)*f^(c/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3))/(b^8*x^4 + 4*a*b^7*x^3 + 6*a^2*b^6*x^2 + 4*a^3*b^5*x + a^4*b^4), x)","F",0
233,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^3)*x^3,x, algorithm=""maxima"")","\frac{{\left(b^{3} x^{4} + 3 \, c x \log\left(f\right)\right)} f^{\frac{c}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}}}{4 \, b^{3}} - \int \frac{3 \, {\left(4 \, a b^{3} c x^{3} \log\left(f\right) + 6 \, a^{2} b^{2} c x^{2} \log\left(f\right) + a^{4} c \log\left(f\right) + {\left(4 \, a^{3} b c \log\left(f\right) - 3 \, b c^{2} \log\left(f\right)^{2}\right)} x\right)} f^{\frac{c}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}}}{4 \, {\left(b^{7} x^{4} + 4 \, a b^{6} x^{3} + 6 \, a^{2} b^{5} x^{2} + 4 \, a^{3} b^{4} x + a^{4} b^{3}\right)}}\,{d x}"," ",0,"1/4*(b^3*x^4 + 3*c*x*log(f))*f^(c/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3))/b^3 - integrate(3/4*(4*a*b^3*c*x^3*log(f) + 6*a^2*b^2*c*x^2*log(f) + a^4*c*log(f) + (4*a^3*b*c*log(f) - 3*b*c^2*log(f)^2)*x)*f^(c/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3))/(b^7*x^4 + 4*a*b^6*x^3 + 6*a^2*b^5*x^2 + 4*a^3*b^4*x + a^4*b^3), x)","F",0
234,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^3)*x^2,x, algorithm=""maxima"")","\frac{1}{3} \, f^{\frac{c}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}} x^{3} + b c \int \frac{f^{\frac{c}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}} x^{3}}{b^{4} x^{4} + 4 \, a b^{3} x^{3} + 6 \, a^{2} b^{2} x^{2} + 4 \, a^{3} b x + a^{4}}\,{d x} \log\left(f\right)"," ",0,"1/3*f^(c/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3))*x^3 + b*c*integrate(f^(c/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3))*x^3/(b^4*x^4 + 4*a*b^3*x^3 + 6*a^2*b^2*x^2 + 4*a^3*b*x + a^4), x)*log(f)","F",0
235,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^3)*x,x, algorithm=""maxima"")","3 \, b c \int \frac{f^{\frac{c}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}} x^{2}}{2 \, {\left(b^{4} x^{4} + 4 \, a b^{3} x^{3} + 6 \, a^{2} b^{2} x^{2} + 4 \, a^{3} b x + a^{4}\right)}}\,{d x} \log\left(f\right) + \frac{1}{2} \, f^{\frac{c}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}} x^{2}"," ",0,"3*b*c*integrate(1/2*f^(c/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3))*x^2/(b^4*x^4 + 4*a*b^3*x^3 + 6*a^2*b^2*x^2 + 4*a^3*b*x + a^4), x)*log(f) + 1/2*f^(c/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3))*x^2","F",0
236,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^3),x, algorithm=""maxima"")","3 \, b c \int \frac{f^{\frac{c}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}} x}{b^{4} x^{4} + 4 \, a b^{3} x^{3} + 6 \, a^{2} b^{2} x^{2} + 4 \, a^{3} b x + a^{4}}\,{d x} \log\left(f\right) + f^{\frac{c}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}} x"," ",0,"3*b*c*integrate(f^(c/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3))*x/(b^4*x^4 + 4*a*b^3*x^3 + 6*a^2*b^2*x^2 + 4*a^3*b*x + a^4), x)*log(f) + f^(c/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3))*x","F",0
237,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^3)/x,x, algorithm=""maxima"")","\int \frac{f^{\frac{c}{{\left(b x + a\right)}^{3}}}}{x}\,{d x}"," ",0,"integrate(f^(c/(b*x + a)^3)/x, x)","F",0
238,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^3)/x^2,x, algorithm=""maxima"")","\int \frac{f^{\frac{c}{{\left(b x + a\right)}^{3}}}}{x^{2}}\,{d x}"," ",0,"integrate(f^(c/(b*x + a)^3)/x^2, x)","F",0
239,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^3)/x^3,x, algorithm=""maxima"")","\int \frac{f^{\frac{c}{{\left(b x + a\right)}^{3}}}}{x^{3}}\,{d x}"," ",0,"integrate(f^(c/(b*x + a)^3)/x^3, x)","F",0
240,0,0,0,0.000000," ","integrate(f^(c*(b*x+a)^3)*x^m,x, algorithm=""maxima"")","\int f^{{\left(b x + a\right)}^{3} c} x^{m}\,{d x}"," ",0,"integrate(f^((b*x + a)^3*c)*x^m, x)","F",0
241,0,0,0,0.000000," ","integrate(f^(c*(b*x+a)^2)*x^m,x, algorithm=""maxima"")","\int f^{{\left(b x + a\right)}^{2} c} x^{m}\,{d x}"," ",0,"integrate(f^((b*x + a)^2*c)*x^m, x)","F",0
242,1,36,0,1.338857," ","integrate(f^(c*(b*x+a))*x^m,x, algorithm=""maxima"")","-\left(-b c x \log\left(f\right)\right)^{-m - 1} f^{a c} x^{m + 1} \Gamma\left(m + 1, -b c x \log\left(f\right)\right)"," ",0,"-(-b*c*x*log(f))^(-m - 1)*f^(a*c)*x^(m + 1)*gamma(m + 1, -b*c*x*log(f))","A",0
243,0,0,0,0.000000," ","integrate(f^(c/(b*x+a))*x^m,x, algorithm=""maxima"")","\int f^{\frac{c}{b x + a}} x^{m}\,{d x}"," ",0,"integrate(f^(c/(b*x + a))*x^m, x)","F",0
244,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^2)*x^m,x, algorithm=""maxima"")","\int f^{\frac{c}{{\left(b x + a\right)}^{2}}} x^{m}\,{d x}"," ",0,"integrate(f^(c/(b*x + a)^2)*x^m, x)","F",0
245,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^3)*x^m,x, algorithm=""maxima"")","\int f^{\frac{c}{{\left(b x + a\right)}^{3}}} x^{m}\,{d x}"," ",0,"integrate(f^(c/(b*x + a)^3)*x^m, x)","F",0
246,0,0,0,0.000000," ","integrate(f^(c*(b*x+a)^n)*x^m,x, algorithm=""maxima"")","\int f^{{\left(b x + a\right)}^{n} c} x^{m}\,{d x}"," ",0,"integrate(f^((b*x + a)^n*c)*x^m, x)","F",0
247,0,0,0,0.000000," ","integrate(f^(c*(b*x+a)^n)*x^3,x, algorithm=""maxima"")","\int f^{{\left(b x + a\right)}^{n} c} x^{3}\,{d x}"," ",0,"integrate(f^((b*x + a)^n*c)*x^3, x)","F",0
248,0,0,0,0.000000," ","integrate(f^(c*(b*x+a)^n)*x^2,x, algorithm=""maxima"")","\int f^{{\left(b x + a\right)}^{n} c} x^{2}\,{d x}"," ",0,"integrate(f^((b*x + a)^n*c)*x^2, x)","F",0
249,0,0,0,0.000000," ","integrate(f^(c*(b*x+a)^n)*x,x, algorithm=""maxima"")","\int f^{{\left(b x + a\right)}^{n} c} x\,{d x}"," ",0,"integrate(f^((b*x + a)^n*c)*x, x)","F",0
250,0,0,0,0.000000," ","integrate(f^(c*(b*x+a)^n),x, algorithm=""maxima"")","\int f^{{\left(b x + a\right)}^{n} c}\,{d x}"," ",0,"integrate(f^((b*x + a)^n*c), x)","F",0
251,0,0,0,0.000000," ","integrate(f^(c*(b*x+a)^n)/x,x, algorithm=""maxima"")","\int \frac{f^{{\left(b x + a\right)}^{n} c}}{x}\,{d x}"," ",0,"integrate(f^((b*x + a)^n*c)/x, x)","F",0
252,0,0,0,0.000000," ","integrate(f^(c*(b*x+a)^n)/x^2,x, algorithm=""maxima"")","\int \frac{f^{{\left(b x + a\right)}^{n} c}}{x^{2}}\,{d x}"," ",0,"integrate(f^((b*x + a)^n*c)/x^2, x)","F",0
253,0,0,0,0.000000," ","integrate(f^(c*(b*x+a)^n)/x^3,x, algorithm=""maxima"")","\int \frac{f^{{\left(b x + a\right)}^{n} c}}{x^{3}}\,{d x}"," ",0,"integrate(f^((b*x + a)^n*c)/x^3, x)","F",0
254,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^m,x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{m} F^{{\left(d x + c\right)}^{2} b + a}\,{d x}"," ",0,"integrate((d*x + c)^m*F^((d*x + c)^2*b + a), x)","F",0
255,1,5261,0,15.454081," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^11,x, algorithm=""maxima"")","-\frac{11 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b c {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d^{2} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b \log\left(F\right)}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d}\right)} F^{a} c^{10}}{2 \, \sqrt{b \log\left(F\right)}} + \frac{55 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{2} c^{2} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{3} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{2 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{2} c \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{2}} - \frac{{\left(b d^{2} x + b c d\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{5} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}}\right)} F^{a} c^{9} d}{2 \, \sqrt{b \log\left(F\right)}} - \frac{165 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{3} c^{3} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{4} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{3 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{3} c^{2} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}} - \frac{3 \, {\left(b d^{2} x + b c d\right)}^{3} b c \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{6} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{b^{2} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}}\right)} F^{a} c^{8} d^{2}}{2 \, \sqrt{b \log\left(F\right)}} + \frac{165 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{4} c^{4} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{5} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{4 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{4} c^{3} \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{4}} - \frac{6 \, {\left(b d^{2} x + b c d\right)}^{3} b^{2} c^{2} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{7} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{4 \, b^{3} c \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{4}} - \frac{{\left(b d^{2} x + b c d\right)}^{5} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{9} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}}\right)} F^{a} c^{7} d^{3}}{\sqrt{b \log\left(F\right)}} - \frac{231 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{5} c^{5} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{6} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{5 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{5} c^{4} \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{10 \, {\left(b d^{2} x + b c d\right)}^{3} b^{3} c^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{8} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{10 \, b^{4} c^{2} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{b^{3} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{5 \, {\left(b d^{2} x + b c d\right)}^{5} b c \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{10} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}}\right)} F^{a} c^{6} d^{4}}{\sqrt{b \log\left(F\right)}} + \frac{231 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{6} c^{6} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{7} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{6 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{6} c^{5} \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{6}} - \frac{15 \, {\left(b d^{2} x + b c d\right)}^{3} b^{4} c^{4} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{9} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{20 \, b^{5} c^{3} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{6}} - \frac{6 \, b^{4} c \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{6}} - \frac{15 \, {\left(b d^{2} x + b c d\right)}^{5} b^{2} c^{2} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{11} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} - \frac{{\left(b d^{2} x + b c d\right)}^{7} \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{13} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}}\right)} F^{a} c^{5} d^{5}}{\sqrt{b \log\left(F\right)}} - \frac{165 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{7} c^{7} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{8} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{7 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{7} c^{6} \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{7}} - \frac{21 \, {\left(b d^{2} x + b c d\right)}^{3} b^{5} c^{5} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{10} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{35 \, b^{6} c^{4} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{7}} - \frac{21 \, b^{5} c^{2} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{7}} - \frac{35 \, {\left(b d^{2} x + b c d\right)}^{5} b^{3} c^{3} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{12} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} + \frac{b^{4} \Gamma\left(4, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{7}} - \frac{7 \, {\left(b d^{2} x + b c d\right)}^{7} b c \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{14} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}}\right)} F^{a} c^{4} d^{6}}{\sqrt{b \log\left(F\right)}} + \frac{165 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{8} c^{8} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{9} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{8 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{8} c^{7} \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{8}} - \frac{28 \, {\left(b d^{2} x + b c d\right)}^{3} b^{6} c^{6} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{11} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{56 \, b^{7} c^{5} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{8}} - \frac{56 \, b^{6} c^{3} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{8}} - \frac{70 \, {\left(b d^{2} x + b c d\right)}^{5} b^{4} c^{4} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{13} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} + \frac{8 \, b^{5} c \Gamma\left(4, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{8}} - \frac{28 \, {\left(b d^{2} x + b c d\right)}^{7} b^{2} c^{2} \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{15} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}} - \frac{{\left(b d^{2} x + b c d\right)}^{9} \Gamma\left(\frac{9}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{17} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{9}{2}}}\right)} F^{a} c^{3} d^{7}}{2 \, \sqrt{b \log\left(F\right)}} - \frac{55 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{9} c^{9} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{10} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{9 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{9} c^{8} \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{9}} - \frac{36 \, {\left(b d^{2} x + b c d\right)}^{3} b^{7} c^{7} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{12} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{84 \, b^{8} c^{6} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{9}} - \frac{126 \, b^{7} c^{4} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{9}} - \frac{126 \, {\left(b d^{2} x + b c d\right)}^{5} b^{5} c^{5} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{14} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} + \frac{36 \, b^{6} c^{2} \Gamma\left(4, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{9}} - \frac{84 \, {\left(b d^{2} x + b c d\right)}^{7} b^{3} c^{3} \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{16} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}} - \frac{b^{5} \Gamma\left(5, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{9}} - \frac{9 \, {\left(b d^{2} x + b c d\right)}^{9} b c \Gamma\left(\frac{9}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{18} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{9}{2}}}\right)} F^{a} c^{2} d^{8}}{2 \, \sqrt{b \log\left(F\right)}} + \frac{11 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{10} c^{10} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{11}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{11} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{10 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{10} c^{9} \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{10}} - \frac{45 \, {\left(b d^{2} x + b c d\right)}^{3} b^{8} c^{8} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{11}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{13} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{120 \, b^{9} c^{7} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{10}} - \frac{252 \, b^{8} c^{5} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{10}} - \frac{210 \, {\left(b d^{2} x + b c d\right)}^{5} b^{6} c^{6} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{11}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{15} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} + \frac{120 \, b^{7} c^{3} \Gamma\left(4, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{10}} - \frac{210 \, {\left(b d^{2} x + b c d\right)}^{7} b^{4} c^{4} \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{11}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{17} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}} - \frac{10 \, b^{6} c \Gamma\left(5, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{10}} - \frac{45 \, {\left(b d^{2} x + b c d\right)}^{9} b^{2} c^{2} \Gamma\left(\frac{9}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{11}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{19} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{9}{2}}} - \frac{{\left(b d^{2} x + b c d\right)}^{11} \Gamma\left(\frac{11}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{11}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{21} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{11}{2}}}\right)} F^{a} c d^{9}}{2 \, \sqrt{b \log\left(F\right)}} - \frac{{\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{11} c^{11} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{12}}{\left(b \log\left(F\right)\right)^{\frac{23}{2}} d^{12} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{11 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{11} c^{10} \log\left(F\right)^{11}}{\left(b \log\left(F\right)\right)^{\frac{23}{2}} d^{11}} - \frac{55 \, {\left(b d^{2} x + b c d\right)}^{3} b^{9} c^{9} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{12}}{\left(b \log\left(F\right)\right)^{\frac{23}{2}} d^{14} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{165 \, b^{10} c^{8} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{23}{2}} d^{11}} - \frac{462 \, b^{9} c^{6} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{23}{2}} d^{11}} - \frac{330 \, {\left(b d^{2} x + b c d\right)}^{5} b^{7} c^{7} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{12}}{\left(b \log\left(F\right)\right)^{\frac{23}{2}} d^{16} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} + \frac{330 \, b^{8} c^{4} \Gamma\left(4, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{23}{2}} d^{11}} - \frac{462 \, {\left(b d^{2} x + b c d\right)}^{7} b^{5} c^{5} \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{12}}{\left(b \log\left(F\right)\right)^{\frac{23}{2}} d^{18} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}} - \frac{55 \, b^{7} c^{2} \Gamma\left(5, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{23}{2}} d^{11}} - \frac{165 \, {\left(b d^{2} x + b c d\right)}^{9} b^{3} c^{3} \Gamma\left(\frac{9}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{12}}{\left(b \log\left(F\right)\right)^{\frac{23}{2}} d^{20} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{9}{2}}} + \frac{b^{6} \Gamma\left(6, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{23}{2}} d^{11}} - \frac{11 \, {\left(b d^{2} x + b c d\right)}^{11} b c \Gamma\left(\frac{11}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{12}}{\left(b \log\left(F\right)\right)^{\frac{23}{2}} d^{22} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{11}{2}}}\right)} F^{a} d^{10}}{2 \, \sqrt{b \log\left(F\right)}} + \frac{\sqrt{\pi} F^{b c^{2} + a} c^{11} \operatorname{erf}\left(\sqrt{-b \log\left(F\right)} d x - \frac{b c \log\left(F\right)}{\sqrt{-b \log\left(F\right)}}\right)}{2 \, \sqrt{-b \log\left(F\right)} F^{b c^{2}} d}"," ",0,"-11/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b*c*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^2/((b*log(F))^(3/2)*d^2*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - F^((b*d^2*x + b*c*d)^2/(b*d^2))*b*log(F)/((b*log(F))^(3/2)*d))*F^a*c^10/sqrt(b*log(F)) + 55/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^2*c^2*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^3/((b*log(F))^(5/2)*d^3*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 2*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^2*c*log(F)^2/((b*log(F))^(5/2)*d^2) - (b*d^2*x + b*c*d)^3*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(5/2)*d^5*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)))*F^a*c^9*d/sqrt(b*log(F)) - 165/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^3*c^3*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^4/((b*log(F))^(7/2)*d^4*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 3*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^3*c^2*log(F)^3/((b*log(F))^(7/2)*d^3) - 3*(b*d^2*x + b*c*d)^3*b*c*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(7/2)*d^6*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + b^2*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^2/((b*log(F))^(7/2)*d^3))*F^a*c^8*d^2/sqrt(b*log(F)) + 165*(sqrt(pi)*(b*d^2*x + b*c*d)*b^4*c^4*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^5/((b*log(F))^(9/2)*d^5*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 4*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^4*c^3*log(F)^4/((b*log(F))^(9/2)*d^4) - 6*(b*d^2*x + b*c*d)^3*b^2*c^2*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(9/2)*d^7*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 4*b^3*c*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(9/2)*d^4) - (b*d^2*x + b*c*d)^5*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(9/2)*d^9*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)))*F^a*c^7*d^3/sqrt(b*log(F)) - 231*(sqrt(pi)*(b*d^2*x + b*c*d)*b^5*c^5*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^6/((b*log(F))^(11/2)*d^6*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 5*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^5*c^4*log(F)^5/((b*log(F))^(11/2)*d^5) - 10*(b*d^2*x + b*c*d)^3*b^3*c^3*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(11/2)*d^8*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 10*b^4*c^2*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(11/2)*d^5) - b^3*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(11/2)*d^5) - 5*(b*d^2*x + b*c*d)^5*b*c*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(11/2)*d^10*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)))*F^a*c^6*d^4/sqrt(b*log(F)) + 231*(sqrt(pi)*(b*d^2*x + b*c*d)*b^6*c^6*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^7/((b*log(F))^(13/2)*d^7*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 6*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^6*c^5*log(F)^6/((b*log(F))^(13/2)*d^6) - 15*(b*d^2*x + b*c*d)^3*b^4*c^4*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(13/2)*d^9*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 20*b^5*c^3*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(13/2)*d^6) - 6*b^4*c*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(13/2)*d^6) - 15*(b*d^2*x + b*c*d)^5*b^2*c^2*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(13/2)*d^11*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) - (b*d^2*x + b*c*d)^7*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(13/2)*d^13*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)))*F^a*c^5*d^5/sqrt(b*log(F)) - 165*(sqrt(pi)*(b*d^2*x + b*c*d)*b^7*c^7*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^8/((b*log(F))^(15/2)*d^8*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 7*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^7*c^6*log(F)^7/((b*log(F))^(15/2)*d^7) - 21*(b*d^2*x + b*c*d)^3*b^5*c^5*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(15/2)*d^10*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 35*b^6*c^4*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(15/2)*d^7) - 21*b^5*c^2*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(15/2)*d^7) - 35*(b*d^2*x + b*c*d)^5*b^3*c^3*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(15/2)*d^12*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) + b^4*gamma(4, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(15/2)*d^7) - 7*(b*d^2*x + b*c*d)^7*b*c*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(15/2)*d^14*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)))*F^a*c^4*d^6/sqrt(b*log(F)) + 165/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^8*c^8*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^9/((b*log(F))^(17/2)*d^9*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 8*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^8*c^7*log(F)^8/((b*log(F))^(17/2)*d^8) - 28*(b*d^2*x + b*c*d)^3*b^6*c^6*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(17/2)*d^11*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 56*b^7*c^5*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(17/2)*d^8) - 56*b^6*c^3*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(17/2)*d^8) - 70*(b*d^2*x + b*c*d)^5*b^4*c^4*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(17/2)*d^13*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) + 8*b^5*c*gamma(4, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(17/2)*d^8) - 28*(b*d^2*x + b*c*d)^7*b^2*c^2*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(17/2)*d^15*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)) - (b*d^2*x + b*c*d)^9*gamma(9/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(17/2)*d^17*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(9/2)))*F^a*c^3*d^7/sqrt(b*log(F)) - 55/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^9*c^9*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^10/((b*log(F))^(19/2)*d^10*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 9*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^9*c^8*log(F)^9/((b*log(F))^(19/2)*d^9) - 36*(b*d^2*x + b*c*d)^3*b^7*c^7*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^10/((b*log(F))^(19/2)*d^12*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 84*b^8*c^6*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(19/2)*d^9) - 126*b^7*c^4*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(19/2)*d^9) - 126*(b*d^2*x + b*c*d)^5*b^5*c^5*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^10/((b*log(F))^(19/2)*d^14*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) + 36*b^6*c^2*gamma(4, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(19/2)*d^9) - 84*(b*d^2*x + b*c*d)^7*b^3*c^3*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^10/((b*log(F))^(19/2)*d^16*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)) - b^5*gamma(5, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(19/2)*d^9) - 9*(b*d^2*x + b*c*d)^9*b*c*gamma(9/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^10/((b*log(F))^(19/2)*d^18*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(9/2)))*F^a*c^2*d^8/sqrt(b*log(F)) + 11/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^10*c^10*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^11/((b*log(F))^(21/2)*d^11*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 10*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^10*c^9*log(F)^10/((b*log(F))^(21/2)*d^10) - 45*(b*d^2*x + b*c*d)^3*b^8*c^8*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^11/((b*log(F))^(21/2)*d^13*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 120*b^9*c^7*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(21/2)*d^10) - 252*b^8*c^5*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(21/2)*d^10) - 210*(b*d^2*x + b*c*d)^5*b^6*c^6*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^11/((b*log(F))^(21/2)*d^15*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) + 120*b^7*c^3*gamma(4, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(21/2)*d^10) - 210*(b*d^2*x + b*c*d)^7*b^4*c^4*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^11/((b*log(F))^(21/2)*d^17*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)) - 10*b^6*c*gamma(5, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(21/2)*d^10) - 45*(b*d^2*x + b*c*d)^9*b^2*c^2*gamma(9/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^11/((b*log(F))^(21/2)*d^19*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(9/2)) - (b*d^2*x + b*c*d)^11*gamma(11/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^11/((b*log(F))^(21/2)*d^21*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(11/2)))*F^a*c*d^9/sqrt(b*log(F)) - 1/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^11*c^11*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^12/((b*log(F))^(23/2)*d^12*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 11*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^11*c^10*log(F)^11/((b*log(F))^(23/2)*d^11) - 55*(b*d^2*x + b*c*d)^3*b^9*c^9*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^12/((b*log(F))^(23/2)*d^14*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 165*b^10*c^8*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^10/((b*log(F))^(23/2)*d^11) - 462*b^9*c^6*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(23/2)*d^11) - 330*(b*d^2*x + b*c*d)^5*b^7*c^7*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^12/((b*log(F))^(23/2)*d^16*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) + 330*b^8*c^4*gamma(4, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(23/2)*d^11) - 462*(b*d^2*x + b*c*d)^7*b^5*c^5*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^12/((b*log(F))^(23/2)*d^18*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)) - 55*b^7*c^2*gamma(5, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(23/2)*d^11) - 165*(b*d^2*x + b*c*d)^9*b^3*c^3*gamma(9/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^12/((b*log(F))^(23/2)*d^20*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(9/2)) + b^6*gamma(6, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(23/2)*d^11) - 11*(b*d^2*x + b*c*d)^11*b*c*gamma(11/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^12/((b*log(F))^(23/2)*d^22*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(11/2)))*F^a*d^10/sqrt(b*log(F)) + 1/2*sqrt(pi)*F^(b*c^2 + a)*c^11*erf(sqrt(-b*log(F))*d*x - b*c*log(F)/sqrt(-b*log(F)))/(sqrt(-b*log(F))*F^(b*c^2)*d)","C",0
256,1,3727,0,14.671366," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^9,x, algorithm=""maxima"")","-\frac{9 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b c {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d^{2} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b \log\left(F\right)}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d}\right)} F^{a} c^{8}}{2 \, \sqrt{b \log\left(F\right)}} + \frac{18 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{2} c^{2} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{3} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{2 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{2} c \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{2}} - \frac{{\left(b d^{2} x + b c d\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{5} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}}\right)} F^{a} c^{7} d}{\sqrt{b \log\left(F\right)}} - \frac{42 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{3} c^{3} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{4} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{3 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{3} c^{2} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}} - \frac{3 \, {\left(b d^{2} x + b c d\right)}^{3} b c \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{6} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{b^{2} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}}\right)} F^{a} c^{6} d^{2}}{\sqrt{b \log\left(F\right)}} + \frac{63 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{4} c^{4} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{5} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{4 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{4} c^{3} \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{4}} - \frac{6 \, {\left(b d^{2} x + b c d\right)}^{3} b^{2} c^{2} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{7} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{4 \, b^{3} c \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{4}} - \frac{{\left(b d^{2} x + b c d\right)}^{5} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{9} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}}\right)} F^{a} c^{5} d^{3}}{\sqrt{b \log\left(F\right)}} - \frac{63 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{5} c^{5} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{6} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{5 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{5} c^{4} \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{10 \, {\left(b d^{2} x + b c d\right)}^{3} b^{3} c^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{8} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{10 \, b^{4} c^{2} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{b^{3} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{5 \, {\left(b d^{2} x + b c d\right)}^{5} b c \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{10} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}}\right)} F^{a} c^{4} d^{4}}{\sqrt{b \log\left(F\right)}} + \frac{42 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{6} c^{6} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{7} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{6 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{6} c^{5} \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{6}} - \frac{15 \, {\left(b d^{2} x + b c d\right)}^{3} b^{4} c^{4} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{9} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{20 \, b^{5} c^{3} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{6}} - \frac{6 \, b^{4} c \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{6}} - \frac{15 \, {\left(b d^{2} x + b c d\right)}^{5} b^{2} c^{2} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{11} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} - \frac{{\left(b d^{2} x + b c d\right)}^{7} \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{13} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}}\right)} F^{a} c^{3} d^{5}}{\sqrt{b \log\left(F\right)}} - \frac{18 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{7} c^{7} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{8} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{7 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{7} c^{6} \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{7}} - \frac{21 \, {\left(b d^{2} x + b c d\right)}^{3} b^{5} c^{5} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{10} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{35 \, b^{6} c^{4} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{7}} - \frac{21 \, b^{5} c^{2} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{7}} - \frac{35 \, {\left(b d^{2} x + b c d\right)}^{5} b^{3} c^{3} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{12} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} + \frac{b^{4} \Gamma\left(4, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{7}} - \frac{7 \, {\left(b d^{2} x + b c d\right)}^{7} b c \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{14} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}}\right)} F^{a} c^{2} d^{6}}{\sqrt{b \log\left(F\right)}} + \frac{9 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{8} c^{8} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{9} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{8 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{8} c^{7} \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{8}} - \frac{28 \, {\left(b d^{2} x + b c d\right)}^{3} b^{6} c^{6} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{11} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{56 \, b^{7} c^{5} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{8}} - \frac{56 \, b^{6} c^{3} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{8}} - \frac{70 \, {\left(b d^{2} x + b c d\right)}^{5} b^{4} c^{4} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{13} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} + \frac{8 \, b^{5} c \Gamma\left(4, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{8}} - \frac{28 \, {\left(b d^{2} x + b c d\right)}^{7} b^{2} c^{2} \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{15} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}} - \frac{{\left(b d^{2} x + b c d\right)}^{9} \Gamma\left(\frac{9}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{17} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{9}{2}}}\right)} F^{a} c d^{7}}{2 \, \sqrt{b \log\left(F\right)}} - \frac{{\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{9} c^{9} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{10} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{9 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{9} c^{8} \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{9}} - \frac{36 \, {\left(b d^{2} x + b c d\right)}^{3} b^{7} c^{7} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{12} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{84 \, b^{8} c^{6} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{9}} - \frac{126 \, b^{7} c^{4} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{9}} - \frac{126 \, {\left(b d^{2} x + b c d\right)}^{5} b^{5} c^{5} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{14} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} + \frac{36 \, b^{6} c^{2} \Gamma\left(4, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{9}} - \frac{84 \, {\left(b d^{2} x + b c d\right)}^{7} b^{3} c^{3} \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{16} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}} - \frac{b^{5} \Gamma\left(5, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{9}} - \frac{9 \, {\left(b d^{2} x + b c d\right)}^{9} b c \Gamma\left(\frac{9}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{18} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{9}{2}}}\right)} F^{a} d^{8}}{2 \, \sqrt{b \log\left(F\right)}} + \frac{\sqrt{\pi} F^{b c^{2} + a} c^{9} \operatorname{erf}\left(\sqrt{-b \log\left(F\right)} d x - \frac{b c \log\left(F\right)}{\sqrt{-b \log\left(F\right)}}\right)}{2 \, \sqrt{-b \log\left(F\right)} F^{b c^{2}} d}"," ",0,"-9/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b*c*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^2/((b*log(F))^(3/2)*d^2*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - F^((b*d^2*x + b*c*d)^2/(b*d^2))*b*log(F)/((b*log(F))^(3/2)*d))*F^a*c^8/sqrt(b*log(F)) + 18*(sqrt(pi)*(b*d^2*x + b*c*d)*b^2*c^2*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^3/((b*log(F))^(5/2)*d^3*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 2*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^2*c*log(F)^2/((b*log(F))^(5/2)*d^2) - (b*d^2*x + b*c*d)^3*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(5/2)*d^5*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)))*F^a*c^7*d/sqrt(b*log(F)) - 42*(sqrt(pi)*(b*d^2*x + b*c*d)*b^3*c^3*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^4/((b*log(F))^(7/2)*d^4*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 3*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^3*c^2*log(F)^3/((b*log(F))^(7/2)*d^3) - 3*(b*d^2*x + b*c*d)^3*b*c*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(7/2)*d^6*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + b^2*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^2/((b*log(F))^(7/2)*d^3))*F^a*c^6*d^2/sqrt(b*log(F)) + 63*(sqrt(pi)*(b*d^2*x + b*c*d)*b^4*c^4*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^5/((b*log(F))^(9/2)*d^5*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 4*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^4*c^3*log(F)^4/((b*log(F))^(9/2)*d^4) - 6*(b*d^2*x + b*c*d)^3*b^2*c^2*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(9/2)*d^7*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 4*b^3*c*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(9/2)*d^4) - (b*d^2*x + b*c*d)^5*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(9/2)*d^9*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)))*F^a*c^5*d^3/sqrt(b*log(F)) - 63*(sqrt(pi)*(b*d^2*x + b*c*d)*b^5*c^5*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^6/((b*log(F))^(11/2)*d^6*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 5*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^5*c^4*log(F)^5/((b*log(F))^(11/2)*d^5) - 10*(b*d^2*x + b*c*d)^3*b^3*c^3*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(11/2)*d^8*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 10*b^4*c^2*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(11/2)*d^5) - b^3*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(11/2)*d^5) - 5*(b*d^2*x + b*c*d)^5*b*c*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(11/2)*d^10*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)))*F^a*c^4*d^4/sqrt(b*log(F)) + 42*(sqrt(pi)*(b*d^2*x + b*c*d)*b^6*c^6*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^7/((b*log(F))^(13/2)*d^7*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 6*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^6*c^5*log(F)^6/((b*log(F))^(13/2)*d^6) - 15*(b*d^2*x + b*c*d)^3*b^4*c^4*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(13/2)*d^9*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 20*b^5*c^3*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(13/2)*d^6) - 6*b^4*c*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(13/2)*d^6) - 15*(b*d^2*x + b*c*d)^5*b^2*c^2*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(13/2)*d^11*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) - (b*d^2*x + b*c*d)^7*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(13/2)*d^13*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)))*F^a*c^3*d^5/sqrt(b*log(F)) - 18*(sqrt(pi)*(b*d^2*x + b*c*d)*b^7*c^7*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^8/((b*log(F))^(15/2)*d^8*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 7*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^7*c^6*log(F)^7/((b*log(F))^(15/2)*d^7) - 21*(b*d^2*x + b*c*d)^3*b^5*c^5*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(15/2)*d^10*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 35*b^6*c^4*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(15/2)*d^7) - 21*b^5*c^2*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(15/2)*d^7) - 35*(b*d^2*x + b*c*d)^5*b^3*c^3*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(15/2)*d^12*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) + b^4*gamma(4, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(15/2)*d^7) - 7*(b*d^2*x + b*c*d)^7*b*c*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(15/2)*d^14*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)))*F^a*c^2*d^6/sqrt(b*log(F)) + 9/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^8*c^8*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^9/((b*log(F))^(17/2)*d^9*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 8*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^8*c^7*log(F)^8/((b*log(F))^(17/2)*d^8) - 28*(b*d^2*x + b*c*d)^3*b^6*c^6*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(17/2)*d^11*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 56*b^7*c^5*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(17/2)*d^8) - 56*b^6*c^3*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(17/2)*d^8) - 70*(b*d^2*x + b*c*d)^5*b^4*c^4*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(17/2)*d^13*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) + 8*b^5*c*gamma(4, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(17/2)*d^8) - 28*(b*d^2*x + b*c*d)^7*b^2*c^2*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(17/2)*d^15*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)) - (b*d^2*x + b*c*d)^9*gamma(9/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(17/2)*d^17*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(9/2)))*F^a*c*d^7/sqrt(b*log(F)) - 1/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^9*c^9*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^10/((b*log(F))^(19/2)*d^10*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 9*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^9*c^8*log(F)^9/((b*log(F))^(19/2)*d^9) - 36*(b*d^2*x + b*c*d)^3*b^7*c^7*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^10/((b*log(F))^(19/2)*d^12*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 84*b^8*c^6*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(19/2)*d^9) - 126*b^7*c^4*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(19/2)*d^9) - 126*(b*d^2*x + b*c*d)^5*b^5*c^5*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^10/((b*log(F))^(19/2)*d^14*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) + 36*b^6*c^2*gamma(4, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(19/2)*d^9) - 84*(b*d^2*x + b*c*d)^7*b^3*c^3*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^10/((b*log(F))^(19/2)*d^16*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)) - b^5*gamma(5, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(19/2)*d^9) - 9*(b*d^2*x + b*c*d)^9*b*c*gamma(9/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^10/((b*log(F))^(19/2)*d^18*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(9/2)))*F^a*d^8/sqrt(b*log(F)) + 1/2*sqrt(pi)*F^(b*c^2 + a)*c^9*erf(sqrt(-b*log(F))*d*x - b*c*log(F)/sqrt(-b*log(F)))/(sqrt(-b*log(F))*F^(b*c^2)*d)","C",0
257,1,2452,0,10.236495," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^7,x, algorithm=""maxima"")","-\frac{7 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b c {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d^{2} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b \log\left(F\right)}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d}\right)} F^{a} c^{6}}{2 \, \sqrt{b \log\left(F\right)}} + \frac{21 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{2} c^{2} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{3} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{2 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{2} c \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{2}} - \frac{{\left(b d^{2} x + b c d\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{5} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}}\right)} F^{a} c^{5} d}{2 \, \sqrt{b \log\left(F\right)}} - \frac{35 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{3} c^{3} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{4} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{3 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{3} c^{2} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}} - \frac{3 \, {\left(b d^{2} x + b c d\right)}^{3} b c \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{6} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{b^{2} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}}\right)} F^{a} c^{4} d^{2}}{2 \, \sqrt{b \log\left(F\right)}} + \frac{35 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{4} c^{4} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{5} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{4 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{4} c^{3} \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{4}} - \frac{6 \, {\left(b d^{2} x + b c d\right)}^{3} b^{2} c^{2} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{7} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{4 \, b^{3} c \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{4}} - \frac{{\left(b d^{2} x + b c d\right)}^{5} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{9} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}}\right)} F^{a} c^{3} d^{3}}{2 \, \sqrt{b \log\left(F\right)}} - \frac{21 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{5} c^{5} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{6} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{5 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{5} c^{4} \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{10 \, {\left(b d^{2} x + b c d\right)}^{3} b^{3} c^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{8} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{10 \, b^{4} c^{2} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{b^{3} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{5 \, {\left(b d^{2} x + b c d\right)}^{5} b c \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{10} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}}\right)} F^{a} c^{2} d^{4}}{2 \, \sqrt{b \log\left(F\right)}} + \frac{7 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{6} c^{6} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{7} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{6 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{6} c^{5} \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{6}} - \frac{15 \, {\left(b d^{2} x + b c d\right)}^{3} b^{4} c^{4} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{9} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{20 \, b^{5} c^{3} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{6}} - \frac{6 \, b^{4} c \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{6}} - \frac{15 \, {\left(b d^{2} x + b c d\right)}^{5} b^{2} c^{2} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{11} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} - \frac{{\left(b d^{2} x + b c d\right)}^{7} \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{13} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}}\right)} F^{a} c d^{5}}{2 \, \sqrt{b \log\left(F\right)}} - \frac{{\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{7} c^{7} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{8} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{7 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{7} c^{6} \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{7}} - \frac{21 \, {\left(b d^{2} x + b c d\right)}^{3} b^{5} c^{5} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{10} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{35 \, b^{6} c^{4} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{7}} - \frac{21 \, b^{5} c^{2} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{7}} - \frac{35 \, {\left(b d^{2} x + b c d\right)}^{5} b^{3} c^{3} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{12} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} + \frac{b^{4} \Gamma\left(4, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{7}} - \frac{7 \, {\left(b d^{2} x + b c d\right)}^{7} b c \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{14} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}}\right)} F^{a} d^{6}}{2 \, \sqrt{b \log\left(F\right)}} + \frac{\sqrt{\pi} F^{b c^{2} + a} c^{7} \operatorname{erf}\left(\sqrt{-b \log\left(F\right)} d x - \frac{b c \log\left(F\right)}{\sqrt{-b \log\left(F\right)}}\right)}{2 \, \sqrt{-b \log\left(F\right)} F^{b c^{2}} d}"," ",0,"-7/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b*c*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^2/((b*log(F))^(3/2)*d^2*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - F^((b*d^2*x + b*c*d)^2/(b*d^2))*b*log(F)/((b*log(F))^(3/2)*d))*F^a*c^6/sqrt(b*log(F)) + 21/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^2*c^2*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^3/((b*log(F))^(5/2)*d^3*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 2*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^2*c*log(F)^2/((b*log(F))^(5/2)*d^2) - (b*d^2*x + b*c*d)^3*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(5/2)*d^5*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)))*F^a*c^5*d/sqrt(b*log(F)) - 35/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^3*c^3*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^4/((b*log(F))^(7/2)*d^4*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 3*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^3*c^2*log(F)^3/((b*log(F))^(7/2)*d^3) - 3*(b*d^2*x + b*c*d)^3*b*c*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(7/2)*d^6*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + b^2*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^2/((b*log(F))^(7/2)*d^3))*F^a*c^4*d^2/sqrt(b*log(F)) + 35/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^4*c^4*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^5/((b*log(F))^(9/2)*d^5*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 4*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^4*c^3*log(F)^4/((b*log(F))^(9/2)*d^4) - 6*(b*d^2*x + b*c*d)^3*b^2*c^2*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(9/2)*d^7*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 4*b^3*c*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(9/2)*d^4) - (b*d^2*x + b*c*d)^5*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(9/2)*d^9*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)))*F^a*c^3*d^3/sqrt(b*log(F)) - 21/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^5*c^5*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^6/((b*log(F))^(11/2)*d^6*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 5*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^5*c^4*log(F)^5/((b*log(F))^(11/2)*d^5) - 10*(b*d^2*x + b*c*d)^3*b^3*c^3*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(11/2)*d^8*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 10*b^4*c^2*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(11/2)*d^5) - b^3*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(11/2)*d^5) - 5*(b*d^2*x + b*c*d)^5*b*c*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(11/2)*d^10*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)))*F^a*c^2*d^4/sqrt(b*log(F)) + 7/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^6*c^6*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^7/((b*log(F))^(13/2)*d^7*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 6*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^6*c^5*log(F)^6/((b*log(F))^(13/2)*d^6) - 15*(b*d^2*x + b*c*d)^3*b^4*c^4*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(13/2)*d^9*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 20*b^5*c^3*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(13/2)*d^6) - 6*b^4*c*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(13/2)*d^6) - 15*(b*d^2*x + b*c*d)^5*b^2*c^2*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(13/2)*d^11*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) - (b*d^2*x + b*c*d)^7*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(13/2)*d^13*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)))*F^a*c*d^5/sqrt(b*log(F)) - 1/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^7*c^7*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^8/((b*log(F))^(15/2)*d^8*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 7*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^7*c^6*log(F)^7/((b*log(F))^(15/2)*d^7) - 21*(b*d^2*x + b*c*d)^3*b^5*c^5*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(15/2)*d^10*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 35*b^6*c^4*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(15/2)*d^7) - 21*b^5*c^2*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(15/2)*d^7) - 35*(b*d^2*x + b*c*d)^5*b^3*c^3*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(15/2)*d^12*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) + b^4*gamma(4, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(15/2)*d^7) - 7*(b*d^2*x + b*c*d)^7*b*c*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(15/2)*d^14*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)))*F^a*d^6/sqrt(b*log(F)) + 1/2*sqrt(pi)*F^(b*c^2 + a)*c^7*erf(sqrt(-b*log(F))*d*x - b*c*log(F)/sqrt(-b*log(F)))/(sqrt(-b*log(F))*F^(b*c^2)*d)","C",0
258,1,1438,0,6.916722," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^5,x, algorithm=""maxima"")","-\frac{5 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b c {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d^{2} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b \log\left(F\right)}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d}\right)} F^{a} c^{4}}{2 \, \sqrt{b \log\left(F\right)}} + \frac{5 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{2} c^{2} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{3} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{2 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{2} c \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{2}} - \frac{{\left(b d^{2} x + b c d\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{5} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}}\right)} F^{a} c^{3} d}{\sqrt{b \log\left(F\right)}} - \frac{5 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{3} c^{3} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{4} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{3 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{3} c^{2} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}} - \frac{3 \, {\left(b d^{2} x + b c d\right)}^{3} b c \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{6} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{b^{2} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}}\right)} F^{a} c^{2} d^{2}}{\sqrt{b \log\left(F\right)}} + \frac{5 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{4} c^{4} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{5} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{4 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{4} c^{3} \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{4}} - \frac{6 \, {\left(b d^{2} x + b c d\right)}^{3} b^{2} c^{2} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{7} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{4 \, b^{3} c \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{4}} - \frac{{\left(b d^{2} x + b c d\right)}^{5} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{9} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}}\right)} F^{a} c d^{3}}{2 \, \sqrt{b \log\left(F\right)}} - \frac{{\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{5} c^{5} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{6} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{5 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{5} c^{4} \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{10 \, {\left(b d^{2} x + b c d\right)}^{3} b^{3} c^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{8} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{10 \, b^{4} c^{2} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{b^{3} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{5 \, {\left(b d^{2} x + b c d\right)}^{5} b c \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{10} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}}\right)} F^{a} d^{4}}{2 \, \sqrt{b \log\left(F\right)}} + \frac{\sqrt{\pi} F^{b c^{2} + a} c^{5} \operatorname{erf}\left(\sqrt{-b \log\left(F\right)} d x - \frac{b c \log\left(F\right)}{\sqrt{-b \log\left(F\right)}}\right)}{2 \, \sqrt{-b \log\left(F\right)} F^{b c^{2}} d}"," ",0,"-5/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b*c*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^2/((b*log(F))^(3/2)*d^2*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - F^((b*d^2*x + b*c*d)^2/(b*d^2))*b*log(F)/((b*log(F))^(3/2)*d))*F^a*c^4/sqrt(b*log(F)) + 5*(sqrt(pi)*(b*d^2*x + b*c*d)*b^2*c^2*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^3/((b*log(F))^(5/2)*d^3*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 2*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^2*c*log(F)^2/((b*log(F))^(5/2)*d^2) - (b*d^2*x + b*c*d)^3*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(5/2)*d^5*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)))*F^a*c^3*d/sqrt(b*log(F)) - 5*(sqrt(pi)*(b*d^2*x + b*c*d)*b^3*c^3*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^4/((b*log(F))^(7/2)*d^4*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 3*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^3*c^2*log(F)^3/((b*log(F))^(7/2)*d^3) - 3*(b*d^2*x + b*c*d)^3*b*c*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(7/2)*d^6*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + b^2*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^2/((b*log(F))^(7/2)*d^3))*F^a*c^2*d^2/sqrt(b*log(F)) + 5/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^4*c^4*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^5/((b*log(F))^(9/2)*d^5*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 4*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^4*c^3*log(F)^4/((b*log(F))^(9/2)*d^4) - 6*(b*d^2*x + b*c*d)^3*b^2*c^2*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(9/2)*d^7*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 4*b^3*c*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(9/2)*d^4) - (b*d^2*x + b*c*d)^5*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(9/2)*d^9*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)))*F^a*c*d^3/sqrt(b*log(F)) - 1/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^5*c^5*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^6/((b*log(F))^(11/2)*d^6*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 5*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^5*c^4*log(F)^5/((b*log(F))^(11/2)*d^5) - 10*(b*d^2*x + b*c*d)^3*b^3*c^3*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(11/2)*d^8*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 10*b^4*c^2*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(11/2)*d^5) - b^3*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(11/2)*d^5) - 5*(b*d^2*x + b*c*d)^5*b*c*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(11/2)*d^10*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)))*F^a*d^4/sqrt(b*log(F)) + 1/2*sqrt(pi)*F^(b*c^2 + a)*c^5*erf(sqrt(-b*log(F))*d*x - b*c*log(F)/sqrt(-b*log(F)))/(sqrt(-b*log(F))*F^(b*c^2)*d)","C",0
259,1,683,0,4.149894," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^3,x, algorithm=""maxima"")","-\frac{3 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b c {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d^{2} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b \log\left(F\right)}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d}\right)} F^{a} c^{2}}{2 \, \sqrt{b \log\left(F\right)}} + \frac{3 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{2} c^{2} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{3} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{2 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{2} c \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{2}} - \frac{{\left(b d^{2} x + b c d\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{5} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}}\right)} F^{a} c d}{2 \, \sqrt{b \log\left(F\right)}} - \frac{{\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{3} c^{3} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{4} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{3 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{3} c^{2} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}} - \frac{3 \, {\left(b d^{2} x + b c d\right)}^{3} b c \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{6} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{b^{2} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}}\right)} F^{a} d^{2}}{2 \, \sqrt{b \log\left(F\right)}} + \frac{\sqrt{\pi} F^{b c^{2} + a} c^{3} \operatorname{erf}\left(\sqrt{-b \log\left(F\right)} d x - \frac{b c \log\left(F\right)}{\sqrt{-b \log\left(F\right)}}\right)}{2 \, \sqrt{-b \log\left(F\right)} F^{b c^{2}} d}"," ",0,"-3/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b*c*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^2/((b*log(F))^(3/2)*d^2*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - F^((b*d^2*x + b*c*d)^2/(b*d^2))*b*log(F)/((b*log(F))^(3/2)*d))*F^a*c^2/sqrt(b*log(F)) + 3/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^2*c^2*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^3/((b*log(F))^(5/2)*d^3*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 2*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^2*c*log(F)^2/((b*log(F))^(5/2)*d^2) - (b*d^2*x + b*c*d)^3*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(5/2)*d^5*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)))*F^a*c*d/sqrt(b*log(F)) - 1/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^3*c^3*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^4/((b*log(F))^(7/2)*d^4*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 3*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^3*c^2*log(F)^3/((b*log(F))^(7/2)*d^3) - 3*(b*d^2*x + b*c*d)^3*b*c*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(7/2)*d^6*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + b^2*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^2/((b*log(F))^(7/2)*d^3))*F^a*d^2/sqrt(b*log(F)) + 1/2*sqrt(pi)*F^(b*c^2 + a)*c^3*erf(sqrt(-b*log(F))*d*x - b*c*log(F)/sqrt(-b*log(F)))/(sqrt(-b*log(F))*F^(b*c^2)*d)","C",0
260,1,25,0,1.193797," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c),x, algorithm=""maxima"")","\frac{F^{{\left(d x + c\right)}^{2} b + a}}{2 \, b d \log\left(F\right)}"," ",0,"1/2*F^((d*x + c)^2*b + a)/(b*d*log(F))","A",0
261,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c),x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{2} b + a}}{d x + c}\,{d x}"," ",0,"integrate(F^((d*x + c)^2*b + a)/(d*x + c), x)","F",0
262,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c)^3,x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{2} b + a}}{{\left(d x + c\right)}^{3}}\,{d x}"," ",0,"integrate(F^((d*x + c)^2*b + a)/(d*x + c)^3, x)","F",0
263,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c)^5,x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{2} b + a}}{{\left(d x + c\right)}^{5}}\,{d x}"," ",0,"integrate(F^((d*x + c)^2*b + a)/(d*x + c)^5, x)","F",0
264,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c)^7,x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{2} b + a}}{{\left(d x + c\right)}^{7}}\,{d x}"," ",0,"integrate(F^((d*x + c)^2*b + a)/(d*x + c)^7, x)","F",0
265,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c)^9,x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{2} b + a}}{{\left(d x + c\right)}^{9}}\,{d x}"," ",0,"integrate(F^((d*x + c)^2*b + a)/(d*x + c)^9, x)","F",0
266,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c)^11,x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{2} b + a}}{{\left(d x + c\right)}^{11}}\,{d x}"," ",0,"integrate(F^((d*x + c)^2*b + a)/(d*x + c)^11, x)","F",0
267,1,6135,0,22.534650," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^12,x, algorithm=""maxima"")","-\frac{6 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b c {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d^{2} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b \log\left(F\right)}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d}\right)} F^{a} c^{11}}{\sqrt{b \log\left(F\right)}} + \frac{33 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{2} c^{2} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{3} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{2 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{2} c \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{2}} - \frac{{\left(b d^{2} x + b c d\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{5} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}}\right)} F^{a} c^{10} d}{\sqrt{b \log\left(F\right)}} - \frac{110 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{3} c^{3} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{4} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{3 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{3} c^{2} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}} - \frac{3 \, {\left(b d^{2} x + b c d\right)}^{3} b c \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{6} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{b^{2} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}}\right)} F^{a} c^{9} d^{2}}{\sqrt{b \log\left(F\right)}} + \frac{495 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{4} c^{4} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{5} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{4 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{4} c^{3} \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{4}} - \frac{6 \, {\left(b d^{2} x + b c d\right)}^{3} b^{2} c^{2} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{7} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{4 \, b^{3} c \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{4}} - \frac{{\left(b d^{2} x + b c d\right)}^{5} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{9} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}}\right)} F^{a} c^{8} d^{3}}{2 \, \sqrt{b \log\left(F\right)}} - \frac{396 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{5} c^{5} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{6} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{5 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{5} c^{4} \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{10 \, {\left(b d^{2} x + b c d\right)}^{3} b^{3} c^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{8} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{10 \, b^{4} c^{2} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{b^{3} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{5 \, {\left(b d^{2} x + b c d\right)}^{5} b c \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{10} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}}\right)} F^{a} c^{7} d^{4}}{\sqrt{b \log\left(F\right)}} + \frac{462 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{6} c^{6} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{7} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{6 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{6} c^{5} \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{6}} - \frac{15 \, {\left(b d^{2} x + b c d\right)}^{3} b^{4} c^{4} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{9} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{20 \, b^{5} c^{3} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{6}} - \frac{6 \, b^{4} c \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{6}} - \frac{15 \, {\left(b d^{2} x + b c d\right)}^{5} b^{2} c^{2} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{11} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} - \frac{{\left(b d^{2} x + b c d\right)}^{7} \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{13} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}}\right)} F^{a} c^{6} d^{5}}{\sqrt{b \log\left(F\right)}} - \frac{396 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{7} c^{7} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{8} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{7 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{7} c^{6} \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{7}} - \frac{21 \, {\left(b d^{2} x + b c d\right)}^{3} b^{5} c^{5} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{10} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{35 \, b^{6} c^{4} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{7}} - \frac{21 \, b^{5} c^{2} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{7}} - \frac{35 \, {\left(b d^{2} x + b c d\right)}^{5} b^{3} c^{3} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{12} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} + \frac{b^{4} \Gamma\left(4, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{7}} - \frac{7 \, {\left(b d^{2} x + b c d\right)}^{7} b c \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{14} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}}\right)} F^{a} c^{5} d^{6}}{\sqrt{b \log\left(F\right)}} + \frac{495 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{8} c^{8} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{9} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{8 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{8} c^{7} \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{8}} - \frac{28 \, {\left(b d^{2} x + b c d\right)}^{3} b^{6} c^{6} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{11} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{56 \, b^{7} c^{5} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{8}} - \frac{56 \, b^{6} c^{3} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{8}} - \frac{70 \, {\left(b d^{2} x + b c d\right)}^{5} b^{4} c^{4} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{13} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} + \frac{8 \, b^{5} c \Gamma\left(4, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{8}} - \frac{28 \, {\left(b d^{2} x + b c d\right)}^{7} b^{2} c^{2} \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{15} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}} - \frac{{\left(b d^{2} x + b c d\right)}^{9} \Gamma\left(\frac{9}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{17} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{9}{2}}}\right)} F^{a} c^{4} d^{7}}{2 \, \sqrt{b \log\left(F\right)}} - \frac{110 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{9} c^{9} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{10} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{9 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{9} c^{8} \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{9}} - \frac{36 \, {\left(b d^{2} x + b c d\right)}^{3} b^{7} c^{7} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{12} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{84 \, b^{8} c^{6} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{9}} - \frac{126 \, b^{7} c^{4} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{9}} - \frac{126 \, {\left(b d^{2} x + b c d\right)}^{5} b^{5} c^{5} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{14} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} + \frac{36 \, b^{6} c^{2} \Gamma\left(4, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{9}} - \frac{84 \, {\left(b d^{2} x + b c d\right)}^{7} b^{3} c^{3} \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{16} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}} - \frac{b^{5} \Gamma\left(5, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{9}} - \frac{9 \, {\left(b d^{2} x + b c d\right)}^{9} b c \Gamma\left(\frac{9}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{18} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{9}{2}}}\right)} F^{a} c^{3} d^{8}}{\sqrt{b \log\left(F\right)}} + \frac{33 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{10} c^{10} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{11}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{11} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{10 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{10} c^{9} \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{10}} - \frac{45 \, {\left(b d^{2} x + b c d\right)}^{3} b^{8} c^{8} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{11}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{13} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{120 \, b^{9} c^{7} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{10}} - \frac{252 \, b^{8} c^{5} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{10}} - \frac{210 \, {\left(b d^{2} x + b c d\right)}^{5} b^{6} c^{6} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{11}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{15} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} + \frac{120 \, b^{7} c^{3} \Gamma\left(4, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{10}} - \frac{210 \, {\left(b d^{2} x + b c d\right)}^{7} b^{4} c^{4} \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{11}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{17} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}} - \frac{10 \, b^{6} c \Gamma\left(5, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{10}} - \frac{45 \, {\left(b d^{2} x + b c d\right)}^{9} b^{2} c^{2} \Gamma\left(\frac{9}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{11}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{19} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{9}{2}}} - \frac{{\left(b d^{2} x + b c d\right)}^{11} \Gamma\left(\frac{11}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{11}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{21} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{11}{2}}}\right)} F^{a} c^{2} d^{9}}{\sqrt{b \log\left(F\right)}} - \frac{6 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{11} c^{11} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{12}}{\left(b \log\left(F\right)\right)^{\frac{23}{2}} d^{12} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{11 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{11} c^{10} \log\left(F\right)^{11}}{\left(b \log\left(F\right)\right)^{\frac{23}{2}} d^{11}} - \frac{55 \, {\left(b d^{2} x + b c d\right)}^{3} b^{9} c^{9} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{12}}{\left(b \log\left(F\right)\right)^{\frac{23}{2}} d^{14} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{165 \, b^{10} c^{8} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{23}{2}} d^{11}} - \frac{462 \, b^{9} c^{6} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{23}{2}} d^{11}} - \frac{330 \, {\left(b d^{2} x + b c d\right)}^{5} b^{7} c^{7} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{12}}{\left(b \log\left(F\right)\right)^{\frac{23}{2}} d^{16} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} + \frac{330 \, b^{8} c^{4} \Gamma\left(4, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{23}{2}} d^{11}} - \frac{462 \, {\left(b d^{2} x + b c d\right)}^{7} b^{5} c^{5} \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{12}}{\left(b \log\left(F\right)\right)^{\frac{23}{2}} d^{18} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}} - \frac{55 \, b^{7} c^{2} \Gamma\left(5, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{23}{2}} d^{11}} - \frac{165 \, {\left(b d^{2} x + b c d\right)}^{9} b^{3} c^{3} \Gamma\left(\frac{9}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{12}}{\left(b \log\left(F\right)\right)^{\frac{23}{2}} d^{20} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{9}{2}}} + \frac{b^{6} \Gamma\left(6, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{23}{2}} d^{11}} - \frac{11 \, {\left(b d^{2} x + b c d\right)}^{11} b c \Gamma\left(\frac{11}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{12}}{\left(b \log\left(F\right)\right)^{\frac{23}{2}} d^{22} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{11}{2}}}\right)} F^{a} c d^{10}}{\sqrt{b \log\left(F\right)}} + \frac{{\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{12} c^{12} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{13}}{\left(b \log\left(F\right)\right)^{\frac{25}{2}} d^{13} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{12 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{12} c^{11} \log\left(F\right)^{12}}{\left(b \log\left(F\right)\right)^{\frac{25}{2}} d^{12}} - \frac{66 \, {\left(b d^{2} x + b c d\right)}^{3} b^{10} c^{10} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{13}}{\left(b \log\left(F\right)\right)^{\frac{25}{2}} d^{15} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{220 \, b^{11} c^{9} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{11}}{\left(b \log\left(F\right)\right)^{\frac{25}{2}} d^{12}} - \frac{792 \, b^{10} c^{7} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{25}{2}} d^{12}} - \frac{495 \, {\left(b d^{2} x + b c d\right)}^{5} b^{8} c^{8} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{13}}{\left(b \log\left(F\right)\right)^{\frac{25}{2}} d^{17} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} + \frac{792 \, b^{9} c^{5} \Gamma\left(4, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{25}{2}} d^{12}} - \frac{924 \, {\left(b d^{2} x + b c d\right)}^{7} b^{6} c^{6} \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{13}}{\left(b \log\left(F\right)\right)^{\frac{25}{2}} d^{19} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}} - \frac{220 \, b^{8} c^{3} \Gamma\left(5, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{25}{2}} d^{12}} - \frac{495 \, {\left(b d^{2} x + b c d\right)}^{9} b^{4} c^{4} \Gamma\left(\frac{9}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{13}}{\left(b \log\left(F\right)\right)^{\frac{25}{2}} d^{21} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{9}{2}}} + \frac{12 \, b^{7} c \Gamma\left(6, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{25}{2}} d^{12}} - \frac{66 \, {\left(b d^{2} x + b c d\right)}^{11} b^{2} c^{2} \Gamma\left(\frac{11}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{13}}{\left(b \log\left(F\right)\right)^{\frac{25}{2}} d^{23} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{11}{2}}} - \frac{{\left(b d^{2} x + b c d\right)}^{13} \Gamma\left(\frac{13}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{13}}{\left(b \log\left(F\right)\right)^{\frac{25}{2}} d^{25} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{13}{2}}}\right)} F^{a} d^{11}}{2 \, \sqrt{b \log\left(F\right)}} + \frac{\sqrt{\pi} F^{b c^{2} + a} c^{12} \operatorname{erf}\left(\sqrt{-b \log\left(F\right)} d x - \frac{b c \log\left(F\right)}{\sqrt{-b \log\left(F\right)}}\right)}{2 \, \sqrt{-b \log\left(F\right)} F^{b c^{2}} d}"," ",0,"-6*(sqrt(pi)*(b*d^2*x + b*c*d)*b*c*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^2/((b*log(F))^(3/2)*d^2*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - F^((b*d^2*x + b*c*d)^2/(b*d^2))*b*log(F)/((b*log(F))^(3/2)*d))*F^a*c^11/sqrt(b*log(F)) + 33*(sqrt(pi)*(b*d^2*x + b*c*d)*b^2*c^2*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^3/((b*log(F))^(5/2)*d^3*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 2*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^2*c*log(F)^2/((b*log(F))^(5/2)*d^2) - (b*d^2*x + b*c*d)^3*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(5/2)*d^5*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)))*F^a*c^10*d/sqrt(b*log(F)) - 110*(sqrt(pi)*(b*d^2*x + b*c*d)*b^3*c^3*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^4/((b*log(F))^(7/2)*d^4*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 3*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^3*c^2*log(F)^3/((b*log(F))^(7/2)*d^3) - 3*(b*d^2*x + b*c*d)^3*b*c*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(7/2)*d^6*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + b^2*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^2/((b*log(F))^(7/2)*d^3))*F^a*c^9*d^2/sqrt(b*log(F)) + 495/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^4*c^4*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^5/((b*log(F))^(9/2)*d^5*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 4*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^4*c^3*log(F)^4/((b*log(F))^(9/2)*d^4) - 6*(b*d^2*x + b*c*d)^3*b^2*c^2*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(9/2)*d^7*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 4*b^3*c*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(9/2)*d^4) - (b*d^2*x + b*c*d)^5*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(9/2)*d^9*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)))*F^a*c^8*d^3/sqrt(b*log(F)) - 396*(sqrt(pi)*(b*d^2*x + b*c*d)*b^5*c^5*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^6/((b*log(F))^(11/2)*d^6*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 5*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^5*c^4*log(F)^5/((b*log(F))^(11/2)*d^5) - 10*(b*d^2*x + b*c*d)^3*b^3*c^3*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(11/2)*d^8*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 10*b^4*c^2*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(11/2)*d^5) - b^3*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(11/2)*d^5) - 5*(b*d^2*x + b*c*d)^5*b*c*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(11/2)*d^10*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)))*F^a*c^7*d^4/sqrt(b*log(F)) + 462*(sqrt(pi)*(b*d^2*x + b*c*d)*b^6*c^6*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^7/((b*log(F))^(13/2)*d^7*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 6*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^6*c^5*log(F)^6/((b*log(F))^(13/2)*d^6) - 15*(b*d^2*x + b*c*d)^3*b^4*c^4*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(13/2)*d^9*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 20*b^5*c^3*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(13/2)*d^6) - 6*b^4*c*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(13/2)*d^6) - 15*(b*d^2*x + b*c*d)^5*b^2*c^2*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(13/2)*d^11*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) - (b*d^2*x + b*c*d)^7*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(13/2)*d^13*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)))*F^a*c^6*d^5/sqrt(b*log(F)) - 396*(sqrt(pi)*(b*d^2*x + b*c*d)*b^7*c^7*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^8/((b*log(F))^(15/2)*d^8*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 7*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^7*c^6*log(F)^7/((b*log(F))^(15/2)*d^7) - 21*(b*d^2*x + b*c*d)^3*b^5*c^5*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(15/2)*d^10*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 35*b^6*c^4*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(15/2)*d^7) - 21*b^5*c^2*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(15/2)*d^7) - 35*(b*d^2*x + b*c*d)^5*b^3*c^3*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(15/2)*d^12*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) + b^4*gamma(4, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(15/2)*d^7) - 7*(b*d^2*x + b*c*d)^7*b*c*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(15/2)*d^14*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)))*F^a*c^5*d^6/sqrt(b*log(F)) + 495/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^8*c^8*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^9/((b*log(F))^(17/2)*d^9*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 8*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^8*c^7*log(F)^8/((b*log(F))^(17/2)*d^8) - 28*(b*d^2*x + b*c*d)^3*b^6*c^6*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(17/2)*d^11*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 56*b^7*c^5*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(17/2)*d^8) - 56*b^6*c^3*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(17/2)*d^8) - 70*(b*d^2*x + b*c*d)^5*b^4*c^4*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(17/2)*d^13*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) + 8*b^5*c*gamma(4, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(17/2)*d^8) - 28*(b*d^2*x + b*c*d)^7*b^2*c^2*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(17/2)*d^15*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)) - (b*d^2*x + b*c*d)^9*gamma(9/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(17/2)*d^17*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(9/2)))*F^a*c^4*d^7/sqrt(b*log(F)) - 110*(sqrt(pi)*(b*d^2*x + b*c*d)*b^9*c^9*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^10/((b*log(F))^(19/2)*d^10*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 9*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^9*c^8*log(F)^9/((b*log(F))^(19/2)*d^9) - 36*(b*d^2*x + b*c*d)^3*b^7*c^7*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^10/((b*log(F))^(19/2)*d^12*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 84*b^8*c^6*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(19/2)*d^9) - 126*b^7*c^4*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(19/2)*d^9) - 126*(b*d^2*x + b*c*d)^5*b^5*c^5*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^10/((b*log(F))^(19/2)*d^14*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) + 36*b^6*c^2*gamma(4, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(19/2)*d^9) - 84*(b*d^2*x + b*c*d)^7*b^3*c^3*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^10/((b*log(F))^(19/2)*d^16*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)) - b^5*gamma(5, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(19/2)*d^9) - 9*(b*d^2*x + b*c*d)^9*b*c*gamma(9/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^10/((b*log(F))^(19/2)*d^18*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(9/2)))*F^a*c^3*d^8/sqrt(b*log(F)) + 33*(sqrt(pi)*(b*d^2*x + b*c*d)*b^10*c^10*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^11/((b*log(F))^(21/2)*d^11*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 10*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^10*c^9*log(F)^10/((b*log(F))^(21/2)*d^10) - 45*(b*d^2*x + b*c*d)^3*b^8*c^8*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^11/((b*log(F))^(21/2)*d^13*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 120*b^9*c^7*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(21/2)*d^10) - 252*b^8*c^5*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(21/2)*d^10) - 210*(b*d^2*x + b*c*d)^5*b^6*c^6*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^11/((b*log(F))^(21/2)*d^15*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) + 120*b^7*c^3*gamma(4, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(21/2)*d^10) - 210*(b*d^2*x + b*c*d)^7*b^4*c^4*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^11/((b*log(F))^(21/2)*d^17*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)) - 10*b^6*c*gamma(5, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(21/2)*d^10) - 45*(b*d^2*x + b*c*d)^9*b^2*c^2*gamma(9/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^11/((b*log(F))^(21/2)*d^19*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(9/2)) - (b*d^2*x + b*c*d)^11*gamma(11/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^11/((b*log(F))^(21/2)*d^21*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(11/2)))*F^a*c^2*d^9/sqrt(b*log(F)) - 6*(sqrt(pi)*(b*d^2*x + b*c*d)*b^11*c^11*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^12/((b*log(F))^(23/2)*d^12*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 11*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^11*c^10*log(F)^11/((b*log(F))^(23/2)*d^11) - 55*(b*d^2*x + b*c*d)^3*b^9*c^9*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^12/((b*log(F))^(23/2)*d^14*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 165*b^10*c^8*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^10/((b*log(F))^(23/2)*d^11) - 462*b^9*c^6*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(23/2)*d^11) - 330*(b*d^2*x + b*c*d)^5*b^7*c^7*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^12/((b*log(F))^(23/2)*d^16*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) + 330*b^8*c^4*gamma(4, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(23/2)*d^11) - 462*(b*d^2*x + b*c*d)^7*b^5*c^5*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^12/((b*log(F))^(23/2)*d^18*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)) - 55*b^7*c^2*gamma(5, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(23/2)*d^11) - 165*(b*d^2*x + b*c*d)^9*b^3*c^3*gamma(9/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^12/((b*log(F))^(23/2)*d^20*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(9/2)) + b^6*gamma(6, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(23/2)*d^11) - 11*(b*d^2*x + b*c*d)^11*b*c*gamma(11/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^12/((b*log(F))^(23/2)*d^22*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(11/2)))*F^a*c*d^10/sqrt(b*log(F)) + 1/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^12*c^12*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^13/((b*log(F))^(25/2)*d^13*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 12*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^12*c^11*log(F)^12/((b*log(F))^(25/2)*d^12) - 66*(b*d^2*x + b*c*d)^3*b^10*c^10*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^13/((b*log(F))^(25/2)*d^15*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 220*b^11*c^9*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^11/((b*log(F))^(25/2)*d^12) - 792*b^10*c^7*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^10/((b*log(F))^(25/2)*d^12) - 495*(b*d^2*x + b*c*d)^5*b^8*c^8*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^13/((b*log(F))^(25/2)*d^17*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) + 792*b^9*c^5*gamma(4, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(25/2)*d^12) - 924*(b*d^2*x + b*c*d)^7*b^6*c^6*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^13/((b*log(F))^(25/2)*d^19*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)) - 220*b^8*c^3*gamma(5, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(25/2)*d^12) - 495*(b*d^2*x + b*c*d)^9*b^4*c^4*gamma(9/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^13/((b*log(F))^(25/2)*d^21*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(9/2)) + 12*b^7*c*gamma(6, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(25/2)*d^12) - 66*(b*d^2*x + b*c*d)^11*b^2*c^2*gamma(11/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^13/((b*log(F))^(25/2)*d^23*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(11/2)) - (b*d^2*x + b*c*d)^13*gamma(13/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^13/((b*log(F))^(25/2)*d^25*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(13/2)))*F^a*d^11/sqrt(b*log(F)) + 1/2*sqrt(pi)*F^(b*c^2 + a)*c^12*erf(sqrt(-b*log(F))*d*x - b*c*log(F)/sqrt(-b*log(F)))/(sqrt(-b*log(F))*F^(b*c^2)*d)","B",0
268,1,4471,0,16.750364," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^10,x, algorithm=""maxima"")","-\frac{5 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b c {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d^{2} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b \log\left(F\right)}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d}\right)} F^{a} c^{9}}{\sqrt{b \log\left(F\right)}} + \frac{45 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{2} c^{2} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{3} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{2 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{2} c \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{2}} - \frac{{\left(b d^{2} x + b c d\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{5} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}}\right)} F^{a} c^{8} d}{2 \, \sqrt{b \log\left(F\right)}} - \frac{60 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{3} c^{3} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{4} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{3 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{3} c^{2} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}} - \frac{3 \, {\left(b d^{2} x + b c d\right)}^{3} b c \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{6} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{b^{2} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}}\right)} F^{a} c^{7} d^{2}}{\sqrt{b \log\left(F\right)}} + \frac{105 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{4} c^{4} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{5} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{4 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{4} c^{3} \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{4}} - \frac{6 \, {\left(b d^{2} x + b c d\right)}^{3} b^{2} c^{2} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{7} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{4 \, b^{3} c \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{4}} - \frac{{\left(b d^{2} x + b c d\right)}^{5} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{9} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}}\right)} F^{a} c^{6} d^{3}}{\sqrt{b \log\left(F\right)}} - \frac{126 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{5} c^{5} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{6} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{5 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{5} c^{4} \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{10 \, {\left(b d^{2} x + b c d\right)}^{3} b^{3} c^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{8} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{10 \, b^{4} c^{2} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{b^{3} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{5 \, {\left(b d^{2} x + b c d\right)}^{5} b c \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{10} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}}\right)} F^{a} c^{5} d^{4}}{\sqrt{b \log\left(F\right)}} + \frac{105 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{6} c^{6} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{7} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{6 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{6} c^{5} \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{6}} - \frac{15 \, {\left(b d^{2} x + b c d\right)}^{3} b^{4} c^{4} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{9} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{20 \, b^{5} c^{3} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{6}} - \frac{6 \, b^{4} c \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{6}} - \frac{15 \, {\left(b d^{2} x + b c d\right)}^{5} b^{2} c^{2} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{11} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} - \frac{{\left(b d^{2} x + b c d\right)}^{7} \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{13} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}}\right)} F^{a} c^{4} d^{5}}{\sqrt{b \log\left(F\right)}} - \frac{60 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{7} c^{7} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{8} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{7 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{7} c^{6} \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{7}} - \frac{21 \, {\left(b d^{2} x + b c d\right)}^{3} b^{5} c^{5} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{10} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{35 \, b^{6} c^{4} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{7}} - \frac{21 \, b^{5} c^{2} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{7}} - \frac{35 \, {\left(b d^{2} x + b c d\right)}^{5} b^{3} c^{3} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{12} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} + \frac{b^{4} \Gamma\left(4, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{7}} - \frac{7 \, {\left(b d^{2} x + b c d\right)}^{7} b c \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{14} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}}\right)} F^{a} c^{3} d^{6}}{\sqrt{b \log\left(F\right)}} + \frac{45 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{8} c^{8} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{9} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{8 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{8} c^{7} \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{8}} - \frac{28 \, {\left(b d^{2} x + b c d\right)}^{3} b^{6} c^{6} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{11} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{56 \, b^{7} c^{5} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{8}} - \frac{56 \, b^{6} c^{3} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{8}} - \frac{70 \, {\left(b d^{2} x + b c d\right)}^{5} b^{4} c^{4} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{13} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} + \frac{8 \, b^{5} c \Gamma\left(4, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{8}} - \frac{28 \, {\left(b d^{2} x + b c d\right)}^{7} b^{2} c^{2} \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{15} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}} - \frac{{\left(b d^{2} x + b c d\right)}^{9} \Gamma\left(\frac{9}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{17} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{9}{2}}}\right)} F^{a} c^{2} d^{7}}{2 \, \sqrt{b \log\left(F\right)}} - \frac{5 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{9} c^{9} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{10} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{9 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{9} c^{8} \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{9}} - \frac{36 \, {\left(b d^{2} x + b c d\right)}^{3} b^{7} c^{7} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{12} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{84 \, b^{8} c^{6} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{9}} - \frac{126 \, b^{7} c^{4} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{9}} - \frac{126 \, {\left(b d^{2} x + b c d\right)}^{5} b^{5} c^{5} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{14} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} + \frac{36 \, b^{6} c^{2} \Gamma\left(4, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{9}} - \frac{84 \, {\left(b d^{2} x + b c d\right)}^{7} b^{3} c^{3} \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{16} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}} - \frac{b^{5} \Gamma\left(5, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{9}} - \frac{9 \, {\left(b d^{2} x + b c d\right)}^{9} b c \Gamma\left(\frac{9}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{19}{2}} d^{18} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{9}{2}}}\right)} F^{a} c d^{8}}{\sqrt{b \log\left(F\right)}} + \frac{{\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{10} c^{10} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{11}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{11} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{10 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{10} c^{9} \log\left(F\right)^{10}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{10}} - \frac{45 \, {\left(b d^{2} x + b c d\right)}^{3} b^{8} c^{8} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{11}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{13} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{120 \, b^{9} c^{7} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{10}} - \frac{252 \, b^{8} c^{5} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{10}} - \frac{210 \, {\left(b d^{2} x + b c d\right)}^{5} b^{6} c^{6} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{11}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{15} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} + \frac{120 \, b^{7} c^{3} \Gamma\left(4, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{10}} - \frac{210 \, {\left(b d^{2} x + b c d\right)}^{7} b^{4} c^{4} \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{11}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{17} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}} - \frac{10 \, b^{6} c \Gamma\left(5, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{10}} - \frac{45 \, {\left(b d^{2} x + b c d\right)}^{9} b^{2} c^{2} \Gamma\left(\frac{9}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{11}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{19} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{9}{2}}} - \frac{{\left(b d^{2} x + b c d\right)}^{11} \Gamma\left(\frac{11}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{11}}{\left(b \log\left(F\right)\right)^{\frac{21}{2}} d^{21} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{11}{2}}}\right)} F^{a} d^{9}}{2 \, \sqrt{b \log\left(F\right)}} + \frac{\sqrt{\pi} F^{b c^{2} + a} c^{10} \operatorname{erf}\left(\sqrt{-b \log\left(F\right)} d x - \frac{b c \log\left(F\right)}{\sqrt{-b \log\left(F\right)}}\right)}{2 \, \sqrt{-b \log\left(F\right)} F^{b c^{2}} d}"," ",0,"-5*(sqrt(pi)*(b*d^2*x + b*c*d)*b*c*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^2/((b*log(F))^(3/2)*d^2*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - F^((b*d^2*x + b*c*d)^2/(b*d^2))*b*log(F)/((b*log(F))^(3/2)*d))*F^a*c^9/sqrt(b*log(F)) + 45/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^2*c^2*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^3/((b*log(F))^(5/2)*d^3*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 2*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^2*c*log(F)^2/((b*log(F))^(5/2)*d^2) - (b*d^2*x + b*c*d)^3*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(5/2)*d^5*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)))*F^a*c^8*d/sqrt(b*log(F)) - 60*(sqrt(pi)*(b*d^2*x + b*c*d)*b^3*c^3*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^4/((b*log(F))^(7/2)*d^4*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 3*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^3*c^2*log(F)^3/((b*log(F))^(7/2)*d^3) - 3*(b*d^2*x + b*c*d)^3*b*c*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(7/2)*d^6*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + b^2*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^2/((b*log(F))^(7/2)*d^3))*F^a*c^7*d^2/sqrt(b*log(F)) + 105*(sqrt(pi)*(b*d^2*x + b*c*d)*b^4*c^4*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^5/((b*log(F))^(9/2)*d^5*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 4*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^4*c^3*log(F)^4/((b*log(F))^(9/2)*d^4) - 6*(b*d^2*x + b*c*d)^3*b^2*c^2*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(9/2)*d^7*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 4*b^3*c*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(9/2)*d^4) - (b*d^2*x + b*c*d)^5*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(9/2)*d^9*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)))*F^a*c^6*d^3/sqrt(b*log(F)) - 126*(sqrt(pi)*(b*d^2*x + b*c*d)*b^5*c^5*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^6/((b*log(F))^(11/2)*d^6*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 5*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^5*c^4*log(F)^5/((b*log(F))^(11/2)*d^5) - 10*(b*d^2*x + b*c*d)^3*b^3*c^3*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(11/2)*d^8*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 10*b^4*c^2*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(11/2)*d^5) - b^3*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(11/2)*d^5) - 5*(b*d^2*x + b*c*d)^5*b*c*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(11/2)*d^10*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)))*F^a*c^5*d^4/sqrt(b*log(F)) + 105*(sqrt(pi)*(b*d^2*x + b*c*d)*b^6*c^6*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^7/((b*log(F))^(13/2)*d^7*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 6*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^6*c^5*log(F)^6/((b*log(F))^(13/2)*d^6) - 15*(b*d^2*x + b*c*d)^3*b^4*c^4*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(13/2)*d^9*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 20*b^5*c^3*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(13/2)*d^6) - 6*b^4*c*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(13/2)*d^6) - 15*(b*d^2*x + b*c*d)^5*b^2*c^2*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(13/2)*d^11*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) - (b*d^2*x + b*c*d)^7*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(13/2)*d^13*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)))*F^a*c^4*d^5/sqrt(b*log(F)) - 60*(sqrt(pi)*(b*d^2*x + b*c*d)*b^7*c^7*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^8/((b*log(F))^(15/2)*d^8*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 7*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^7*c^6*log(F)^7/((b*log(F))^(15/2)*d^7) - 21*(b*d^2*x + b*c*d)^3*b^5*c^5*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(15/2)*d^10*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 35*b^6*c^4*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(15/2)*d^7) - 21*b^5*c^2*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(15/2)*d^7) - 35*(b*d^2*x + b*c*d)^5*b^3*c^3*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(15/2)*d^12*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) + b^4*gamma(4, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(15/2)*d^7) - 7*(b*d^2*x + b*c*d)^7*b*c*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(15/2)*d^14*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)))*F^a*c^3*d^6/sqrt(b*log(F)) + 45/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^8*c^8*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^9/((b*log(F))^(17/2)*d^9*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 8*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^8*c^7*log(F)^8/((b*log(F))^(17/2)*d^8) - 28*(b*d^2*x + b*c*d)^3*b^6*c^6*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(17/2)*d^11*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 56*b^7*c^5*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(17/2)*d^8) - 56*b^6*c^3*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(17/2)*d^8) - 70*(b*d^2*x + b*c*d)^5*b^4*c^4*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(17/2)*d^13*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) + 8*b^5*c*gamma(4, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(17/2)*d^8) - 28*(b*d^2*x + b*c*d)^7*b^2*c^2*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(17/2)*d^15*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)) - (b*d^2*x + b*c*d)^9*gamma(9/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(17/2)*d^17*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(9/2)))*F^a*c^2*d^7/sqrt(b*log(F)) - 5*(sqrt(pi)*(b*d^2*x + b*c*d)*b^9*c^9*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^10/((b*log(F))^(19/2)*d^10*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 9*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^9*c^8*log(F)^9/((b*log(F))^(19/2)*d^9) - 36*(b*d^2*x + b*c*d)^3*b^7*c^7*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^10/((b*log(F))^(19/2)*d^12*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 84*b^8*c^6*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(19/2)*d^9) - 126*b^7*c^4*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(19/2)*d^9) - 126*(b*d^2*x + b*c*d)^5*b^5*c^5*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^10/((b*log(F))^(19/2)*d^14*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) + 36*b^6*c^2*gamma(4, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(19/2)*d^9) - 84*(b*d^2*x + b*c*d)^7*b^3*c^3*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^10/((b*log(F))^(19/2)*d^16*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)) - b^5*gamma(5, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(19/2)*d^9) - 9*(b*d^2*x + b*c*d)^9*b*c*gamma(9/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^10/((b*log(F))^(19/2)*d^18*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(9/2)))*F^a*c*d^8/sqrt(b*log(F)) + 1/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^10*c^10*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^11/((b*log(F))^(21/2)*d^11*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 10*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^10*c^9*log(F)^10/((b*log(F))^(21/2)*d^10) - 45*(b*d^2*x + b*c*d)^3*b^8*c^8*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^11/((b*log(F))^(21/2)*d^13*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 120*b^9*c^7*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(21/2)*d^10) - 252*b^8*c^5*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(21/2)*d^10) - 210*(b*d^2*x + b*c*d)^5*b^6*c^6*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^11/((b*log(F))^(21/2)*d^15*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) + 120*b^7*c^3*gamma(4, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(21/2)*d^10) - 210*(b*d^2*x + b*c*d)^7*b^4*c^4*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^11/((b*log(F))^(21/2)*d^17*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)) - 10*b^6*c*gamma(5, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(21/2)*d^10) - 45*(b*d^2*x + b*c*d)^9*b^2*c^2*gamma(9/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^11/((b*log(F))^(21/2)*d^19*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(9/2)) - (b*d^2*x + b*c*d)^11*gamma(11/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^11/((b*log(F))^(21/2)*d^21*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(11/2)))*F^a*d^9/sqrt(b*log(F)) + 1/2*sqrt(pi)*F^(b*c^2 + a)*c^10*erf(sqrt(-b*log(F))*d*x - b*c*log(F)/sqrt(-b*log(F)))/(sqrt(-b*log(F))*F^(b*c^2)*d)","B",0
269,1,3066,0,12.510008," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^8,x, algorithm=""maxima"")","-\frac{4 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b c {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d^{2} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b \log\left(F\right)}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d}\right)} F^{a} c^{7}}{\sqrt{b \log\left(F\right)}} + \frac{14 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{2} c^{2} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{3} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{2 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{2} c \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{2}} - \frac{{\left(b d^{2} x + b c d\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{5} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}}\right)} F^{a} c^{6} d}{\sqrt{b \log\left(F\right)}} - \frac{28 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{3} c^{3} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{4} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{3 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{3} c^{2} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}} - \frac{3 \, {\left(b d^{2} x + b c d\right)}^{3} b c \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{6} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{b^{2} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}}\right)} F^{a} c^{5} d^{2}}{\sqrt{b \log\left(F\right)}} + \frac{35 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{4} c^{4} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{5} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{4 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{4} c^{3} \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{4}} - \frac{6 \, {\left(b d^{2} x + b c d\right)}^{3} b^{2} c^{2} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{7} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{4 \, b^{3} c \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{4}} - \frac{{\left(b d^{2} x + b c d\right)}^{5} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{9} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}}\right)} F^{a} c^{4} d^{3}}{\sqrt{b \log\left(F\right)}} - \frac{28 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{5} c^{5} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{6} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{5 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{5} c^{4} \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{10 \, {\left(b d^{2} x + b c d\right)}^{3} b^{3} c^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{8} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{10 \, b^{4} c^{2} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{b^{3} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{5 \, {\left(b d^{2} x + b c d\right)}^{5} b c \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{10} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}}\right)} F^{a} c^{3} d^{4}}{\sqrt{b \log\left(F\right)}} + \frac{14 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{6} c^{6} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{7} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{6 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{6} c^{5} \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{6}} - \frac{15 \, {\left(b d^{2} x + b c d\right)}^{3} b^{4} c^{4} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{9} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{20 \, b^{5} c^{3} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{6}} - \frac{6 \, b^{4} c \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{6}} - \frac{15 \, {\left(b d^{2} x + b c d\right)}^{5} b^{2} c^{2} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{11} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} - \frac{{\left(b d^{2} x + b c d\right)}^{7} \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{13} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}}\right)} F^{a} c^{2} d^{5}}{\sqrt{b \log\left(F\right)}} - \frac{4 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{7} c^{7} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{8} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{7 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{7} c^{6} \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{7}} - \frac{21 \, {\left(b d^{2} x + b c d\right)}^{3} b^{5} c^{5} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{10} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{35 \, b^{6} c^{4} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{7}} - \frac{21 \, b^{5} c^{2} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{7}} - \frac{35 \, {\left(b d^{2} x + b c d\right)}^{5} b^{3} c^{3} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{12} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} + \frac{b^{4} \Gamma\left(4, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{7}} - \frac{7 \, {\left(b d^{2} x + b c d\right)}^{7} b c \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{15}{2}} d^{14} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}}\right)} F^{a} c d^{6}}{\sqrt{b \log\left(F\right)}} + \frac{{\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{8} c^{8} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{9} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{8 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{8} c^{7} \log\left(F\right)^{8}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{8}} - \frac{28 \, {\left(b d^{2} x + b c d\right)}^{3} b^{6} c^{6} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{11} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{56 \, b^{7} c^{5} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{8}} - \frac{56 \, b^{6} c^{3} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{8}} - \frac{70 \, {\left(b d^{2} x + b c d\right)}^{5} b^{4} c^{4} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{13} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} + \frac{8 \, b^{5} c \Gamma\left(4, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{8}} - \frac{28 \, {\left(b d^{2} x + b c d\right)}^{7} b^{2} c^{2} \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{15} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}} - \frac{{\left(b d^{2} x + b c d\right)}^{9} \Gamma\left(\frac{9}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{9}}{\left(b \log\left(F\right)\right)^{\frac{17}{2}} d^{17} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{9}{2}}}\right)} F^{a} d^{7}}{2 \, \sqrt{b \log\left(F\right)}} + \frac{\sqrt{\pi} F^{b c^{2} + a} c^{8} \operatorname{erf}\left(\sqrt{-b \log\left(F\right)} d x - \frac{b c \log\left(F\right)}{\sqrt{-b \log\left(F\right)}}\right)}{2 \, \sqrt{-b \log\left(F\right)} F^{b c^{2}} d}"," ",0,"-4*(sqrt(pi)*(b*d^2*x + b*c*d)*b*c*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^2/((b*log(F))^(3/2)*d^2*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - F^((b*d^2*x + b*c*d)^2/(b*d^2))*b*log(F)/((b*log(F))^(3/2)*d))*F^a*c^7/sqrt(b*log(F)) + 14*(sqrt(pi)*(b*d^2*x + b*c*d)*b^2*c^2*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^3/((b*log(F))^(5/2)*d^3*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 2*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^2*c*log(F)^2/((b*log(F))^(5/2)*d^2) - (b*d^2*x + b*c*d)^3*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(5/2)*d^5*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)))*F^a*c^6*d/sqrt(b*log(F)) - 28*(sqrt(pi)*(b*d^2*x + b*c*d)*b^3*c^3*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^4/((b*log(F))^(7/2)*d^4*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 3*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^3*c^2*log(F)^3/((b*log(F))^(7/2)*d^3) - 3*(b*d^2*x + b*c*d)^3*b*c*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(7/2)*d^6*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + b^2*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^2/((b*log(F))^(7/2)*d^3))*F^a*c^5*d^2/sqrt(b*log(F)) + 35*(sqrt(pi)*(b*d^2*x + b*c*d)*b^4*c^4*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^5/((b*log(F))^(9/2)*d^5*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 4*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^4*c^3*log(F)^4/((b*log(F))^(9/2)*d^4) - 6*(b*d^2*x + b*c*d)^3*b^2*c^2*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(9/2)*d^7*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 4*b^3*c*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(9/2)*d^4) - (b*d^2*x + b*c*d)^5*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(9/2)*d^9*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)))*F^a*c^4*d^3/sqrt(b*log(F)) - 28*(sqrt(pi)*(b*d^2*x + b*c*d)*b^5*c^5*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^6/((b*log(F))^(11/2)*d^6*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 5*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^5*c^4*log(F)^5/((b*log(F))^(11/2)*d^5) - 10*(b*d^2*x + b*c*d)^3*b^3*c^3*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(11/2)*d^8*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 10*b^4*c^2*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(11/2)*d^5) - b^3*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(11/2)*d^5) - 5*(b*d^2*x + b*c*d)^5*b*c*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(11/2)*d^10*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)))*F^a*c^3*d^4/sqrt(b*log(F)) + 14*(sqrt(pi)*(b*d^2*x + b*c*d)*b^6*c^6*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^7/((b*log(F))^(13/2)*d^7*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 6*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^6*c^5*log(F)^6/((b*log(F))^(13/2)*d^6) - 15*(b*d^2*x + b*c*d)^3*b^4*c^4*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(13/2)*d^9*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 20*b^5*c^3*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(13/2)*d^6) - 6*b^4*c*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(13/2)*d^6) - 15*(b*d^2*x + b*c*d)^5*b^2*c^2*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(13/2)*d^11*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) - (b*d^2*x + b*c*d)^7*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(13/2)*d^13*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)))*F^a*c^2*d^5/sqrt(b*log(F)) - 4*(sqrt(pi)*(b*d^2*x + b*c*d)*b^7*c^7*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^8/((b*log(F))^(15/2)*d^8*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 7*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^7*c^6*log(F)^7/((b*log(F))^(15/2)*d^7) - 21*(b*d^2*x + b*c*d)^3*b^5*c^5*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(15/2)*d^10*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 35*b^6*c^4*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(15/2)*d^7) - 21*b^5*c^2*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(15/2)*d^7) - 35*(b*d^2*x + b*c*d)^5*b^3*c^3*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(15/2)*d^12*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) + b^4*gamma(4, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(15/2)*d^7) - 7*(b*d^2*x + b*c*d)^7*b*c*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^8/((b*log(F))^(15/2)*d^14*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)))*F^a*c*d^6/sqrt(b*log(F)) + 1/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^8*c^8*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^9/((b*log(F))^(17/2)*d^9*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 8*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^8*c^7*log(F)^8/((b*log(F))^(17/2)*d^8) - 28*(b*d^2*x + b*c*d)^3*b^6*c^6*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(17/2)*d^11*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 56*b^7*c^5*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(17/2)*d^8) - 56*b^6*c^3*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(17/2)*d^8) - 70*(b*d^2*x + b*c*d)^5*b^4*c^4*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(17/2)*d^13*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) + 8*b^5*c*gamma(4, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(17/2)*d^8) - 28*(b*d^2*x + b*c*d)^7*b^2*c^2*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(17/2)*d^15*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)) - (b*d^2*x + b*c*d)^9*gamma(9/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^9/((b*log(F))^(17/2)*d^17*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(9/2)))*F^a*d^7/sqrt(b*log(F)) + 1/2*sqrt(pi)*F^(b*c^2 + a)*c^8*erf(sqrt(-b*log(F))*d*x - b*c*log(F)/sqrt(-b*log(F)))/(sqrt(-b*log(F))*F^(b*c^2)*d)","B",0
270,1,1922,0,8.451494," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^6,x, algorithm=""maxima"")","-\frac{3 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b c {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d^{2} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b \log\left(F\right)}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d}\right)} F^{a} c^{5}}{\sqrt{b \log\left(F\right)}} + \frac{15 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{2} c^{2} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{3} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{2 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{2} c \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{2}} - \frac{{\left(b d^{2} x + b c d\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{5} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}}\right)} F^{a} c^{4} d}{2 \, \sqrt{b \log\left(F\right)}} - \frac{10 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{3} c^{3} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{4} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{3 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{3} c^{2} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}} - \frac{3 \, {\left(b d^{2} x + b c d\right)}^{3} b c \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{6} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{b^{2} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}}\right)} F^{a} c^{3} d^{2}}{\sqrt{b \log\left(F\right)}} + \frac{15 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{4} c^{4} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{5} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{4 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{4} c^{3} \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{4}} - \frac{6 \, {\left(b d^{2} x + b c d\right)}^{3} b^{2} c^{2} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{7} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{4 \, b^{3} c \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{4}} - \frac{{\left(b d^{2} x + b c d\right)}^{5} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{9} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}}\right)} F^{a} c^{2} d^{3}}{2 \, \sqrt{b \log\left(F\right)}} - \frac{3 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{5} c^{5} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{6} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{5 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{5} c^{4} \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{10 \, {\left(b d^{2} x + b c d\right)}^{3} b^{3} c^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{8} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{10 \, b^{4} c^{2} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{b^{3} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{5 \, {\left(b d^{2} x + b c d\right)}^{5} b c \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{10} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}}\right)} F^{a} c d^{4}}{\sqrt{b \log\left(F\right)}} + \frac{{\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{6} c^{6} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{7} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{6 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{6} c^{5} \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{6}} - \frac{15 \, {\left(b d^{2} x + b c d\right)}^{3} b^{4} c^{4} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{9} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{20 \, b^{5} c^{3} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{6}} - \frac{6 \, b^{4} c \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{6}} - \frac{15 \, {\left(b d^{2} x + b c d\right)}^{5} b^{2} c^{2} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{11} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}} - \frac{{\left(b d^{2} x + b c d\right)}^{7} \Gamma\left(\frac{7}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{7}}{\left(b \log\left(F\right)\right)^{\frac{13}{2}} d^{13} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{7}{2}}}\right)} F^{a} d^{5}}{2 \, \sqrt{b \log\left(F\right)}} + \frac{\sqrt{\pi} F^{b c^{2} + a} c^{6} \operatorname{erf}\left(\sqrt{-b \log\left(F\right)} d x - \frac{b c \log\left(F\right)}{\sqrt{-b \log\left(F\right)}}\right)}{2 \, \sqrt{-b \log\left(F\right)} F^{b c^{2}} d}"," ",0,"-3*(sqrt(pi)*(b*d^2*x + b*c*d)*b*c*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^2/((b*log(F))^(3/2)*d^2*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - F^((b*d^2*x + b*c*d)^2/(b*d^2))*b*log(F)/((b*log(F))^(3/2)*d))*F^a*c^5/sqrt(b*log(F)) + 15/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^2*c^2*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^3/((b*log(F))^(5/2)*d^3*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 2*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^2*c*log(F)^2/((b*log(F))^(5/2)*d^2) - (b*d^2*x + b*c*d)^3*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(5/2)*d^5*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)))*F^a*c^4*d/sqrt(b*log(F)) - 10*(sqrt(pi)*(b*d^2*x + b*c*d)*b^3*c^3*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^4/((b*log(F))^(7/2)*d^4*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 3*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^3*c^2*log(F)^3/((b*log(F))^(7/2)*d^3) - 3*(b*d^2*x + b*c*d)^3*b*c*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(7/2)*d^6*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + b^2*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^2/((b*log(F))^(7/2)*d^3))*F^a*c^3*d^2/sqrt(b*log(F)) + 15/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^4*c^4*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^5/((b*log(F))^(9/2)*d^5*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 4*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^4*c^3*log(F)^4/((b*log(F))^(9/2)*d^4) - 6*(b*d^2*x + b*c*d)^3*b^2*c^2*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(9/2)*d^7*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 4*b^3*c*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(9/2)*d^4) - (b*d^2*x + b*c*d)^5*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(9/2)*d^9*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)))*F^a*c^2*d^3/sqrt(b*log(F)) - 3*(sqrt(pi)*(b*d^2*x + b*c*d)*b^5*c^5*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^6/((b*log(F))^(11/2)*d^6*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 5*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^5*c^4*log(F)^5/((b*log(F))^(11/2)*d^5) - 10*(b*d^2*x + b*c*d)^3*b^3*c^3*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(11/2)*d^8*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 10*b^4*c^2*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(11/2)*d^5) - b^3*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(11/2)*d^5) - 5*(b*d^2*x + b*c*d)^5*b*c*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(11/2)*d^10*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)))*F^a*c*d^4/sqrt(b*log(F)) + 1/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^6*c^6*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^7/((b*log(F))^(13/2)*d^7*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 6*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^6*c^5*log(F)^6/((b*log(F))^(13/2)*d^6) - 15*(b*d^2*x + b*c*d)^3*b^4*c^4*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(13/2)*d^9*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 20*b^5*c^3*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(13/2)*d^6) - 6*b^4*c*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(13/2)*d^6) - 15*(b*d^2*x + b*c*d)^5*b^2*c^2*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(13/2)*d^11*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)) - (b*d^2*x + b*c*d)^7*gamma(7/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^7/((b*log(F))^(13/2)*d^13*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(7/2)))*F^a*d^5/sqrt(b*log(F)) + 1/2*sqrt(pi)*F^(b*c^2 + a)*c^6*erf(sqrt(-b*log(F))*d*x - b*c*log(F)/sqrt(-b*log(F)))/(sqrt(-b*log(F))*F^(b*c^2)*d)","B",0
271,1,1037,0,5.271575," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^4,x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b c {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d^{2} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b \log\left(F\right)}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d}\right)} F^{a} c^{3}}{\sqrt{b \log\left(F\right)}} + \frac{3 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{2} c^{2} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{3} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{2 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{2} c \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{2}} - \frac{{\left(b d^{2} x + b c d\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{5} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}}\right)} F^{a} c^{2} d}{\sqrt{b \log\left(F\right)}} - \frac{2 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{3} c^{3} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{4} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{3 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{3} c^{2} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}} - \frac{3 \, {\left(b d^{2} x + b c d\right)}^{3} b c \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{6} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{b^{2} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}}\right)} F^{a} c d^{2}}{\sqrt{b \log\left(F\right)}} + \frac{{\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{4} c^{4} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{5} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{4 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{4} c^{3} \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{4}} - \frac{6 \, {\left(b d^{2} x + b c d\right)}^{3} b^{2} c^{2} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{7} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{4 \, b^{3} c \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{4}} - \frac{{\left(b d^{2} x + b c d\right)}^{5} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{9} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}}\right)} F^{a} d^{3}}{2 \, \sqrt{b \log\left(F\right)}} + \frac{\sqrt{\pi} F^{b c^{2} + a} c^{4} \operatorname{erf}\left(\sqrt{-b \log\left(F\right)} d x - \frac{b c \log\left(F\right)}{\sqrt{-b \log\left(F\right)}}\right)}{2 \, \sqrt{-b \log\left(F\right)} F^{b c^{2}} d}"," ",0,"-2*(sqrt(pi)*(b*d^2*x + b*c*d)*b*c*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^2/((b*log(F))^(3/2)*d^2*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - F^((b*d^2*x + b*c*d)^2/(b*d^2))*b*log(F)/((b*log(F))^(3/2)*d))*F^a*c^3/sqrt(b*log(F)) + 3*(sqrt(pi)*(b*d^2*x + b*c*d)*b^2*c^2*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^3/((b*log(F))^(5/2)*d^3*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 2*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^2*c*log(F)^2/((b*log(F))^(5/2)*d^2) - (b*d^2*x + b*c*d)^3*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(5/2)*d^5*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)))*F^a*c^2*d/sqrt(b*log(F)) - 2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^3*c^3*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^4/((b*log(F))^(7/2)*d^4*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 3*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^3*c^2*log(F)^3/((b*log(F))^(7/2)*d^3) - 3*(b*d^2*x + b*c*d)^3*b*c*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(7/2)*d^6*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + b^2*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^2/((b*log(F))^(7/2)*d^3))*F^a*c*d^2/sqrt(b*log(F)) + 1/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^4*c^4*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^5/((b*log(F))^(9/2)*d^5*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 4*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^4*c^3*log(F)^4/((b*log(F))^(9/2)*d^4) - 6*(b*d^2*x + b*c*d)^3*b^2*c^2*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(9/2)*d^7*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 4*b^3*c*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(9/2)*d^4) - (b*d^2*x + b*c*d)^5*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(9/2)*d^9*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)))*F^a*d^3/sqrt(b*log(F)) + 1/2*sqrt(pi)*F^(b*c^2 + a)*c^4*erf(sqrt(-b*log(F))*d*x - b*c*log(F)/sqrt(-b*log(F)))/(sqrt(-b*log(F))*F^(b*c^2)*d)","B",0
272,1,413,0,3.672800," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^2,x, algorithm=""maxima"")","-\frac{{\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b c {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d^{2} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b \log\left(F\right)}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d}\right)} F^{a} c}{\sqrt{b \log\left(F\right)}} + \frac{{\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{2} c^{2} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{3} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{2 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{2} c \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{2}} - \frac{{\left(b d^{2} x + b c d\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{5} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}}\right)} F^{a} d}{2 \, \sqrt{b \log\left(F\right)}} + \frac{\sqrt{\pi} F^{b c^{2} + a} c^{2} \operatorname{erf}\left(\sqrt{-b \log\left(F\right)} d x - \frac{b c \log\left(F\right)}{\sqrt{-b \log\left(F\right)}}\right)}{2 \, \sqrt{-b \log\left(F\right)} F^{b c^{2}} d}"," ",0,"-(sqrt(pi)*(b*d^2*x + b*c*d)*b*c*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^2/((b*log(F))^(3/2)*d^2*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - F^((b*d^2*x + b*c*d)^2/(b*d^2))*b*log(F)/((b*log(F))^(3/2)*d))*F^a*c/sqrt(b*log(F)) + 1/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^2*c^2*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^3/((b*log(F))^(5/2)*d^3*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 2*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^2*c*log(F)^2/((b*log(F))^(5/2)*d^2) - (b*d^2*x + b*c*d)^3*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(5/2)*d^5*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)))*F^a*d/sqrt(b*log(F)) + 1/2*sqrt(pi)*F^(b*c^2 + a)*c^2*erf(sqrt(-b*log(F))*d*x - b*c*log(F)/sqrt(-b*log(F)))/(sqrt(-b*log(F))*F^(b*c^2)*d)","B",0
273,1,58,0,0.964007," ","integrate(F^(a+b*(d*x+c)^2),x, algorithm=""maxima"")","\frac{\sqrt{\pi} F^{b c^{2} + a} \operatorname{erf}\left(\sqrt{-b \log\left(F\right)} d x - \frac{b c \log\left(F\right)}{\sqrt{-b \log\left(F\right)}}\right)}{2 \, \sqrt{-b \log\left(F\right)} F^{b c^{2}} d}"," ",0,"1/2*sqrt(pi)*F^(b*c^2 + a)*erf(sqrt(-b*log(F))*d*x - b*c*log(F)/sqrt(-b*log(F)))/(sqrt(-b*log(F))*F^(b*c^2)*d)","A",0
274,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c)^2,x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{2} b + a}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(F^((d*x + c)^2*b + a)/(d*x + c)^2, x)","F",0
275,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c)^4,x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{2} b + a}}{{\left(d x + c\right)}^{4}}\,{d x}"," ",0,"integrate(F^((d*x + c)^2*b + a)/(d*x + c)^4, x)","F",0
276,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c)^6,x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{2} b + a}}{{\left(d x + c\right)}^{6}}\,{d x}"," ",0,"integrate(F^((d*x + c)^2*b + a)/(d*x + c)^6, x)","F",0
277,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c)^8,x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{2} b + a}}{{\left(d x + c\right)}^{8}}\,{d x}"," ",0,"integrate(F^((d*x + c)^2*b + a)/(d*x + c)^8, x)","F",0
278,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c)^10,x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{2} b + a}}{{\left(d x + c\right)}^{10}}\,{d x}"," ",0,"integrate(F^((d*x + c)^2*b + a)/(d*x + c)^10, x)","F",0
279,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c)^12,x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{2} b + a}}{{\left(d x + c\right)}^{12}}\,{d x}"," ",0,"integrate(F^((d*x + c)^2*b + a)/(d*x + c)^12, x)","F",0
280,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^3)*(d*x+c)^m,x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{m} F^{{\left(d x + c\right)}^{3} b + a}\,{d x}"," ",0,"integrate((d*x + c)^m*F^((d*x + c)^3*b + a), x)","F",0
281,1,1268,0,2.363169," ","integrate(F^(a+b*(d*x+c)^3)*(d*x+c)^17,x, algorithm=""maxima"")","\frac{{\left(F^{b c^{3} + a} b^{5} d^{15} x^{15} \log\left(F\right)^{5} + 15 \, F^{b c^{3} + a} b^{5} c d^{14} x^{14} \log\left(F\right)^{5} + 105 \, F^{b c^{3} + a} b^{5} c^{2} d^{13} x^{13} \log\left(F\right)^{5} + F^{b c^{3} + a} b^{5} c^{15} \log\left(F\right)^{5} - 5 \, F^{b c^{3} + a} b^{4} c^{12} \log\left(F\right)^{4} + 20 \, F^{b c^{3} + a} b^{3} c^{9} \log\left(F\right)^{3} + 5 \, {\left(91 \, F^{b c^{3} + a} b^{5} c^{3} d^{12} \log\left(F\right)^{5} - F^{b c^{3} + a} b^{4} d^{12} \log\left(F\right)^{4}\right)} x^{12} + 15 \, {\left(91 \, F^{b c^{3} + a} b^{5} c^{4} d^{11} \log\left(F\right)^{5} - 4 \, F^{b c^{3} + a} b^{4} c d^{11} \log\left(F\right)^{4}\right)} x^{11} + 33 \, {\left(91 \, F^{b c^{3} + a} b^{5} c^{5} d^{10} \log\left(F\right)^{5} - 10 \, F^{b c^{3} + a} b^{4} c^{2} d^{10} \log\left(F\right)^{4}\right)} x^{10} - 60 \, F^{b c^{3} + a} b^{2} c^{6} \log\left(F\right)^{2} + 5 \, {\left(1001 \, F^{b c^{3} + a} b^{5} c^{6} d^{9} \log\left(F\right)^{5} - 220 \, F^{b c^{3} + a} b^{4} c^{3} d^{9} \log\left(F\right)^{4} + 4 \, F^{b c^{3} + a} b^{3} d^{9} \log\left(F\right)^{3}\right)} x^{9} + 45 \, {\left(143 \, F^{b c^{3} + a} b^{5} c^{7} d^{8} \log\left(F\right)^{5} - 55 \, F^{b c^{3} + a} b^{4} c^{4} d^{8} \log\left(F\right)^{4} + 4 \, F^{b c^{3} + a} b^{3} c d^{8} \log\left(F\right)^{3}\right)} x^{8} + 45 \, {\left(143 \, F^{b c^{3} + a} b^{5} c^{8} d^{7} \log\left(F\right)^{5} - 88 \, F^{b c^{3} + a} b^{4} c^{5} d^{7} \log\left(F\right)^{4} + 16 \, F^{b c^{3} + a} b^{3} c^{2} d^{7} \log\left(F\right)^{3}\right)} x^{7} + 5 \, {\left(1001 \, F^{b c^{3} + a} b^{5} c^{9} d^{6} \log\left(F\right)^{5} - 924 \, F^{b c^{3} + a} b^{4} c^{6} d^{6} \log\left(F\right)^{4} + 336 \, F^{b c^{3} + a} b^{3} c^{3} d^{6} \log\left(F\right)^{3} - 12 \, F^{b c^{3} + a} b^{2} d^{6} \log\left(F\right)^{2}\right)} x^{6} + 3 \, {\left(1001 \, F^{b c^{3} + a} b^{5} c^{10} d^{5} \log\left(F\right)^{5} - 1320 \, F^{b c^{3} + a} b^{4} c^{7} d^{5} \log\left(F\right)^{4} + 840 \, F^{b c^{3} + a} b^{3} c^{4} d^{5} \log\left(F\right)^{3} - 120 \, F^{b c^{3} + a} b^{2} c d^{5} \log\left(F\right)^{2}\right)} x^{5} + 120 \, F^{b c^{3} + a} b c^{3} \log\left(F\right) + 15 \, {\left(91 \, F^{b c^{3} + a} b^{5} c^{11} d^{4} \log\left(F\right)^{5} - 165 \, F^{b c^{3} + a} b^{4} c^{8} d^{4} \log\left(F\right)^{4} + 168 \, F^{b c^{3} + a} b^{3} c^{5} d^{4} \log\left(F\right)^{3} - 60 \, F^{b c^{3} + a} b^{2} c^{2} d^{4} \log\left(F\right)^{2}\right)} x^{4} + 5 \, {\left(91 \, F^{b c^{3} + a} b^{5} c^{12} d^{3} \log\left(F\right)^{5} - 220 \, F^{b c^{3} + a} b^{4} c^{9} d^{3} \log\left(F\right)^{4} + 336 \, F^{b c^{3} + a} b^{3} c^{6} d^{3} \log\left(F\right)^{3} - 240 \, F^{b c^{3} + a} b^{2} c^{3} d^{3} \log\left(F\right)^{2} + 24 \, F^{b c^{3} + a} b d^{3} \log\left(F\right)\right)} x^{3} + 15 \, {\left(7 \, F^{b c^{3} + a} b^{5} c^{13} d^{2} \log\left(F\right)^{5} - 22 \, F^{b c^{3} + a} b^{4} c^{10} d^{2} \log\left(F\right)^{4} + 48 \, F^{b c^{3} + a} b^{3} c^{7} d^{2} \log\left(F\right)^{3} - 60 \, F^{b c^{3} + a} b^{2} c^{4} d^{2} \log\left(F\right)^{2} + 24 \, F^{b c^{3} + a} b c d^{2} \log\left(F\right)\right)} x^{2} + 15 \, {\left(F^{b c^{3} + a} b^{5} c^{14} d \log\left(F\right)^{5} - 4 \, F^{b c^{3} + a} b^{4} c^{11} d \log\left(F\right)^{4} + 12 \, F^{b c^{3} + a} b^{3} c^{8} d \log\left(F\right)^{3} - 24 \, F^{b c^{3} + a} b^{2} c^{5} d \log\left(F\right)^{2} + 24 \, F^{b c^{3} + a} b c^{2} d \log\left(F\right)\right)} x - 120 \, F^{b c^{3} + a}\right)} e^{\left(b d^{3} x^{3} \log\left(F\right) + 3 \, b c d^{2} x^{2} \log\left(F\right) + 3 \, b c^{2} d x \log\left(F\right)\right)}}{3 \, b^{6} d \log\left(F\right)^{6}}"," ",0,"1/3*(F^(b*c^3 + a)*b^5*d^15*x^15*log(F)^5 + 15*F^(b*c^3 + a)*b^5*c*d^14*x^14*log(F)^5 + 105*F^(b*c^3 + a)*b^5*c^2*d^13*x^13*log(F)^5 + F^(b*c^3 + a)*b^5*c^15*log(F)^5 - 5*F^(b*c^3 + a)*b^4*c^12*log(F)^4 + 20*F^(b*c^3 + a)*b^3*c^9*log(F)^3 + 5*(91*F^(b*c^3 + a)*b^5*c^3*d^12*log(F)^5 - F^(b*c^3 + a)*b^4*d^12*log(F)^4)*x^12 + 15*(91*F^(b*c^3 + a)*b^5*c^4*d^11*log(F)^5 - 4*F^(b*c^3 + a)*b^4*c*d^11*log(F)^4)*x^11 + 33*(91*F^(b*c^3 + a)*b^5*c^5*d^10*log(F)^5 - 10*F^(b*c^3 + a)*b^4*c^2*d^10*log(F)^4)*x^10 - 60*F^(b*c^3 + a)*b^2*c^6*log(F)^2 + 5*(1001*F^(b*c^3 + a)*b^5*c^6*d^9*log(F)^5 - 220*F^(b*c^3 + a)*b^4*c^3*d^9*log(F)^4 + 4*F^(b*c^3 + a)*b^3*d^9*log(F)^3)*x^9 + 45*(143*F^(b*c^3 + a)*b^5*c^7*d^8*log(F)^5 - 55*F^(b*c^3 + a)*b^4*c^4*d^8*log(F)^4 + 4*F^(b*c^3 + a)*b^3*c*d^8*log(F)^3)*x^8 + 45*(143*F^(b*c^3 + a)*b^5*c^8*d^7*log(F)^5 - 88*F^(b*c^3 + a)*b^4*c^5*d^7*log(F)^4 + 16*F^(b*c^3 + a)*b^3*c^2*d^7*log(F)^3)*x^7 + 5*(1001*F^(b*c^3 + a)*b^5*c^9*d^6*log(F)^5 - 924*F^(b*c^3 + a)*b^4*c^6*d^6*log(F)^4 + 336*F^(b*c^3 + a)*b^3*c^3*d^6*log(F)^3 - 12*F^(b*c^3 + a)*b^2*d^6*log(F)^2)*x^6 + 3*(1001*F^(b*c^3 + a)*b^5*c^10*d^5*log(F)^5 - 1320*F^(b*c^3 + a)*b^4*c^7*d^5*log(F)^4 + 840*F^(b*c^3 + a)*b^3*c^4*d^5*log(F)^3 - 120*F^(b*c^3 + a)*b^2*c*d^5*log(F)^2)*x^5 + 120*F^(b*c^3 + a)*b*c^3*log(F) + 15*(91*F^(b*c^3 + a)*b^5*c^11*d^4*log(F)^5 - 165*F^(b*c^3 + a)*b^4*c^8*d^4*log(F)^4 + 168*F^(b*c^3 + a)*b^3*c^5*d^4*log(F)^3 - 60*F^(b*c^3 + a)*b^2*c^2*d^4*log(F)^2)*x^4 + 5*(91*F^(b*c^3 + a)*b^5*c^12*d^3*log(F)^5 - 220*F^(b*c^3 + a)*b^4*c^9*d^3*log(F)^4 + 336*F^(b*c^3 + a)*b^3*c^6*d^3*log(F)^3 - 240*F^(b*c^3 + a)*b^2*c^3*d^3*log(F)^2 + 24*F^(b*c^3 + a)*b*d^3*log(F))*x^3 + 15*(7*F^(b*c^3 + a)*b^5*c^13*d^2*log(F)^5 - 22*F^(b*c^3 + a)*b^4*c^10*d^2*log(F)^4 + 48*F^(b*c^3 + a)*b^3*c^7*d^2*log(F)^3 - 60*F^(b*c^3 + a)*b^2*c^4*d^2*log(F)^2 + 24*F^(b*c^3 + a)*b*c*d^2*log(F))*x^2 + 15*(F^(b*c^3 + a)*b^5*c^14*d*log(F)^5 - 4*F^(b*c^3 + a)*b^4*c^11*d*log(F)^4 + 12*F^(b*c^3 + a)*b^3*c^8*d*log(F)^3 - 24*F^(b*c^3 + a)*b^2*c^5*d*log(F)^2 + 24*F^(b*c^3 + a)*b*c^2*d*log(F))*x - 120*F^(b*c^3 + a))*e^(b*d^3*x^3*log(F) + 3*b*c*d^2*x^2*log(F) + 3*b*c^2*d*x*log(F))/(b^6*d*log(F)^6)","B",0
282,1,874,0,2.288796," ","integrate(F^(a+b*(d*x+c)^3)*(d*x+c)^14,x, algorithm=""maxima"")","\frac{{\left(F^{b c^{3} + a} b^{4} d^{12} x^{12} \log\left(F\right)^{4} + 12 \, F^{b c^{3} + a} b^{4} c d^{11} x^{11} \log\left(F\right)^{4} + 66 \, F^{b c^{3} + a} b^{4} c^{2} d^{10} x^{10} \log\left(F\right)^{4} + F^{b c^{3} + a} b^{4} c^{12} \log\left(F\right)^{4} - 4 \, F^{b c^{3} + a} b^{3} c^{9} \log\left(F\right)^{3} + 12 \, F^{b c^{3} + a} b^{2} c^{6} \log\left(F\right)^{2} + 4 \, {\left(55 \, F^{b c^{3} + a} b^{4} c^{3} d^{9} \log\left(F\right)^{4} - F^{b c^{3} + a} b^{3} d^{9} \log\left(F\right)^{3}\right)} x^{9} + 9 \, {\left(55 \, F^{b c^{3} + a} b^{4} c^{4} d^{8} \log\left(F\right)^{4} - 4 \, F^{b c^{3} + a} b^{3} c d^{8} \log\left(F\right)^{3}\right)} x^{8} + 72 \, {\left(11 \, F^{b c^{3} + a} b^{4} c^{5} d^{7} \log\left(F\right)^{4} - 2 \, F^{b c^{3} + a} b^{3} c^{2} d^{7} \log\left(F\right)^{3}\right)} x^{7} + 12 \, {\left(77 \, F^{b c^{3} + a} b^{4} c^{6} d^{6} \log\left(F\right)^{4} - 28 \, F^{b c^{3} + a} b^{3} c^{3} d^{6} \log\left(F\right)^{3} + F^{b c^{3} + a} b^{2} d^{6} \log\left(F\right)^{2}\right)} x^{6} + 72 \, {\left(11 \, F^{b c^{3} + a} b^{4} c^{7} d^{5} \log\left(F\right)^{4} - 7 \, F^{b c^{3} + a} b^{3} c^{4} d^{5} \log\left(F\right)^{3} + F^{b c^{3} + a} b^{2} c d^{5} \log\left(F\right)^{2}\right)} x^{5} - 24 \, F^{b c^{3} + a} b c^{3} \log\left(F\right) + 9 \, {\left(55 \, F^{b c^{3} + a} b^{4} c^{8} d^{4} \log\left(F\right)^{4} - 56 \, F^{b c^{3} + a} b^{3} c^{5} d^{4} \log\left(F\right)^{3} + 20 \, F^{b c^{3} + a} b^{2} c^{2} d^{4} \log\left(F\right)^{2}\right)} x^{4} + 4 \, {\left(55 \, F^{b c^{3} + a} b^{4} c^{9} d^{3} \log\left(F\right)^{4} - 84 \, F^{b c^{3} + a} b^{3} c^{6} d^{3} \log\left(F\right)^{3} + 60 \, F^{b c^{3} + a} b^{2} c^{3} d^{3} \log\left(F\right)^{2} - 6 \, F^{b c^{3} + a} b d^{3} \log\left(F\right)\right)} x^{3} + 6 \, {\left(11 \, F^{b c^{3} + a} b^{4} c^{10} d^{2} \log\left(F\right)^{4} - 24 \, F^{b c^{3} + a} b^{3} c^{7} d^{2} \log\left(F\right)^{3} + 30 \, F^{b c^{3} + a} b^{2} c^{4} d^{2} \log\left(F\right)^{2} - 12 \, F^{b c^{3} + a} b c d^{2} \log\left(F\right)\right)} x^{2} + 12 \, {\left(F^{b c^{3} + a} b^{4} c^{11} d \log\left(F\right)^{4} - 3 \, F^{b c^{3} + a} b^{3} c^{8} d \log\left(F\right)^{3} + 6 \, F^{b c^{3} + a} b^{2} c^{5} d \log\left(F\right)^{2} - 6 \, F^{b c^{3} + a} b c^{2} d \log\left(F\right)\right)} x + 24 \, F^{b c^{3} + a}\right)} e^{\left(b d^{3} x^{3} \log\left(F\right) + 3 \, b c d^{2} x^{2} \log\left(F\right) + 3 \, b c^{2} d x \log\left(F\right)\right)}}{3 \, b^{5} d \log\left(F\right)^{5}}"," ",0,"1/3*(F^(b*c^3 + a)*b^4*d^12*x^12*log(F)^4 + 12*F^(b*c^3 + a)*b^4*c*d^11*x^11*log(F)^4 + 66*F^(b*c^3 + a)*b^4*c^2*d^10*x^10*log(F)^4 + F^(b*c^3 + a)*b^4*c^12*log(F)^4 - 4*F^(b*c^3 + a)*b^3*c^9*log(F)^3 + 12*F^(b*c^3 + a)*b^2*c^6*log(F)^2 + 4*(55*F^(b*c^3 + a)*b^4*c^3*d^9*log(F)^4 - F^(b*c^3 + a)*b^3*d^9*log(F)^3)*x^9 + 9*(55*F^(b*c^3 + a)*b^4*c^4*d^8*log(F)^4 - 4*F^(b*c^3 + a)*b^3*c*d^8*log(F)^3)*x^8 + 72*(11*F^(b*c^3 + a)*b^4*c^5*d^7*log(F)^4 - 2*F^(b*c^3 + a)*b^3*c^2*d^7*log(F)^3)*x^7 + 12*(77*F^(b*c^3 + a)*b^4*c^6*d^6*log(F)^4 - 28*F^(b*c^3 + a)*b^3*c^3*d^6*log(F)^3 + F^(b*c^3 + a)*b^2*d^6*log(F)^2)*x^6 + 72*(11*F^(b*c^3 + a)*b^4*c^7*d^5*log(F)^4 - 7*F^(b*c^3 + a)*b^3*c^4*d^5*log(F)^3 + F^(b*c^3 + a)*b^2*c*d^5*log(F)^2)*x^5 - 24*F^(b*c^3 + a)*b*c^3*log(F) + 9*(55*F^(b*c^3 + a)*b^4*c^8*d^4*log(F)^4 - 56*F^(b*c^3 + a)*b^3*c^5*d^4*log(F)^3 + 20*F^(b*c^3 + a)*b^2*c^2*d^4*log(F)^2)*x^4 + 4*(55*F^(b*c^3 + a)*b^4*c^9*d^3*log(F)^4 - 84*F^(b*c^3 + a)*b^3*c^6*d^3*log(F)^3 + 60*F^(b*c^3 + a)*b^2*c^3*d^3*log(F)^2 - 6*F^(b*c^3 + a)*b*d^3*log(F))*x^3 + 6*(11*F^(b*c^3 + a)*b^4*c^10*d^2*log(F)^4 - 24*F^(b*c^3 + a)*b^3*c^7*d^2*log(F)^3 + 30*F^(b*c^3 + a)*b^2*c^4*d^2*log(F)^2 - 12*F^(b*c^3 + a)*b*c*d^2*log(F))*x^2 + 12*(F^(b*c^3 + a)*b^4*c^11*d*log(F)^4 - 3*F^(b*c^3 + a)*b^3*c^8*d*log(F)^3 + 6*F^(b*c^3 + a)*b^2*c^5*d*log(F)^2 - 6*F^(b*c^3 + a)*b*c^2*d*log(F))*x + 24*F^(b*c^3 + a))*e^(b*d^3*x^3*log(F) + 3*b*c*d^2*x^2*log(F) + 3*b*c^2*d*x*log(F))/(b^5*d*log(F)^5)","B",0
283,1,555,0,2.244600," ","integrate(F^(a+b*(d*x+c)^3)*(d*x+c)^11,x, algorithm=""maxima"")","\frac{{\left(F^{b c^{3} + a} b^{3} d^{9} x^{9} \log\left(F\right)^{3} + 9 \, F^{b c^{3} + a} b^{3} c d^{8} x^{8} \log\left(F\right)^{3} + 36 \, F^{b c^{3} + a} b^{3} c^{2} d^{7} x^{7} \log\left(F\right)^{3} + F^{b c^{3} + a} b^{3} c^{9} \log\left(F\right)^{3} - 3 \, F^{b c^{3} + a} b^{2} c^{6} \log\left(F\right)^{2} + 3 \, {\left(28 \, F^{b c^{3} + a} b^{3} c^{3} d^{6} \log\left(F\right)^{3} - F^{b c^{3} + a} b^{2} d^{6} \log\left(F\right)^{2}\right)} x^{6} + 18 \, {\left(7 \, F^{b c^{3} + a} b^{3} c^{4} d^{5} \log\left(F\right)^{3} - F^{b c^{3} + a} b^{2} c d^{5} \log\left(F\right)^{2}\right)} x^{5} + 6 \, F^{b c^{3} + a} b c^{3} \log\left(F\right) + 9 \, {\left(14 \, F^{b c^{3} + a} b^{3} c^{5} d^{4} \log\left(F\right)^{3} - 5 \, F^{b c^{3} + a} b^{2} c^{2} d^{4} \log\left(F\right)^{2}\right)} x^{4} + 6 \, {\left(14 \, F^{b c^{3} + a} b^{3} c^{6} d^{3} \log\left(F\right)^{3} - 10 \, F^{b c^{3} + a} b^{2} c^{3} d^{3} \log\left(F\right)^{2} + F^{b c^{3} + a} b d^{3} \log\left(F\right)\right)} x^{3} + 9 \, {\left(4 \, F^{b c^{3} + a} b^{3} c^{7} d^{2} \log\left(F\right)^{3} - 5 \, F^{b c^{3} + a} b^{2} c^{4} d^{2} \log\left(F\right)^{2} + 2 \, F^{b c^{3} + a} b c d^{2} \log\left(F\right)\right)} x^{2} + 9 \, {\left(F^{b c^{3} + a} b^{3} c^{8} d \log\left(F\right)^{3} - 2 \, F^{b c^{3} + a} b^{2} c^{5} d \log\left(F\right)^{2} + 2 \, F^{b c^{3} + a} b c^{2} d \log\left(F\right)\right)} x - 6 \, F^{b c^{3} + a}\right)} e^{\left(b d^{3} x^{3} \log\left(F\right) + 3 \, b c d^{2} x^{2} \log\left(F\right) + 3 \, b c^{2} d x \log\left(F\right)\right)}}{3 \, b^{4} d \log\left(F\right)^{4}}"," ",0,"1/3*(F^(b*c^3 + a)*b^3*d^9*x^9*log(F)^3 + 9*F^(b*c^3 + a)*b^3*c*d^8*x^8*log(F)^3 + 36*F^(b*c^3 + a)*b^3*c^2*d^7*x^7*log(F)^3 + F^(b*c^3 + a)*b^3*c^9*log(F)^3 - 3*F^(b*c^3 + a)*b^2*c^6*log(F)^2 + 3*(28*F^(b*c^3 + a)*b^3*c^3*d^6*log(F)^3 - F^(b*c^3 + a)*b^2*d^6*log(F)^2)*x^6 + 18*(7*F^(b*c^3 + a)*b^3*c^4*d^5*log(F)^3 - F^(b*c^3 + a)*b^2*c*d^5*log(F)^2)*x^5 + 6*F^(b*c^3 + a)*b*c^3*log(F) + 9*(14*F^(b*c^3 + a)*b^3*c^5*d^4*log(F)^3 - 5*F^(b*c^3 + a)*b^2*c^2*d^4*log(F)^2)*x^4 + 6*(14*F^(b*c^3 + a)*b^3*c^6*d^3*log(F)^3 - 10*F^(b*c^3 + a)*b^2*c^3*d^3*log(F)^2 + F^(b*c^3 + a)*b*d^3*log(F))*x^3 + 9*(4*F^(b*c^3 + a)*b^3*c^7*d^2*log(F)^3 - 5*F^(b*c^3 + a)*b^2*c^4*d^2*log(F)^2 + 2*F^(b*c^3 + a)*b*c*d^2*log(F))*x^2 + 9*(F^(b*c^3 + a)*b^3*c^8*d*log(F)^3 - 2*F^(b*c^3 + a)*b^2*c^5*d*log(F)^2 + 2*F^(b*c^3 + a)*b*c^2*d*log(F))*x - 6*F^(b*c^3 + a))*e^(b*d^3*x^3*log(F) + 3*b*c*d^2*x^2*log(F) + 3*b*c^2*d*x*log(F))/(b^4*d*log(F)^4)","B",0
284,1,308,0,2.127283," ","integrate(F^(a+b*(d*x+c)^3)*(d*x+c)^8,x, algorithm=""maxima"")","\frac{{\left(F^{b c^{3} + a} b^{2} d^{6} x^{6} \log\left(F\right)^{2} + 6 \, F^{b c^{3} + a} b^{2} c d^{5} x^{5} \log\left(F\right)^{2} + 15 \, F^{b c^{3} + a} b^{2} c^{2} d^{4} x^{4} \log\left(F\right)^{2} + F^{b c^{3} + a} b^{2} c^{6} \log\left(F\right)^{2} - 2 \, F^{b c^{3} + a} b c^{3} \log\left(F\right) + 2 \, {\left(10 \, F^{b c^{3} + a} b^{2} c^{3} d^{3} \log\left(F\right)^{2} - F^{b c^{3} + a} b d^{3} \log\left(F\right)\right)} x^{3} + 3 \, {\left(5 \, F^{b c^{3} + a} b^{2} c^{4} d^{2} \log\left(F\right)^{2} - 2 \, F^{b c^{3} + a} b c d^{2} \log\left(F\right)\right)} x^{2} + 6 \, {\left(F^{b c^{3} + a} b^{2} c^{5} d \log\left(F\right)^{2} - F^{b c^{3} + a} b c^{2} d \log\left(F\right)\right)} x + 2 \, F^{b c^{3} + a}\right)} e^{\left(b d^{3} x^{3} \log\left(F\right) + 3 \, b c d^{2} x^{2} \log\left(F\right) + 3 \, b c^{2} d x \log\left(F\right)\right)}}{3 \, b^{3} d \log\left(F\right)^{3}}"," ",0,"1/3*(F^(b*c^3 + a)*b^2*d^6*x^6*log(F)^2 + 6*F^(b*c^3 + a)*b^2*c*d^5*x^5*log(F)^2 + 15*F^(b*c^3 + a)*b^2*c^2*d^4*x^4*log(F)^2 + F^(b*c^3 + a)*b^2*c^6*log(F)^2 - 2*F^(b*c^3 + a)*b*c^3*log(F) + 2*(10*F^(b*c^3 + a)*b^2*c^3*d^3*log(F)^2 - F^(b*c^3 + a)*b*d^3*log(F))*x^3 + 3*(5*F^(b*c^3 + a)*b^2*c^4*d^2*log(F)^2 - 2*F^(b*c^3 + a)*b*c*d^2*log(F))*x^2 + 6*(F^(b*c^3 + a)*b^2*c^5*d*log(F)^2 - F^(b*c^3 + a)*b*c^2*d*log(F))*x + 2*F^(b*c^3 + a))*e^(b*d^3*x^3*log(F) + 3*b*c*d^2*x^2*log(F) + 3*b*c^2*d*x*log(F))/(b^3*d*log(F)^3)","B",0
285,1,133,0,2.091811," ","integrate(F^(a+b*(d*x+c)^3)*(d*x+c)^5,x, algorithm=""maxima"")","\frac{{\left(F^{b c^{3} + a} b d^{3} x^{3} \log\left(F\right) + 3 \, F^{b c^{3} + a} b c d^{2} x^{2} \log\left(F\right) + 3 \, F^{b c^{3} + a} b c^{2} d x \log\left(F\right) + F^{b c^{3} + a} b c^{3} \log\left(F\right) - F^{b c^{3} + a}\right)} e^{\left(b d^{3} x^{3} \log\left(F\right) + 3 \, b c d^{2} x^{2} \log\left(F\right) + 3 \, b c^{2} d x \log\left(F\right)\right)}}{3 \, b^{2} d \log\left(F\right)^{2}}"," ",0,"1/3*(F^(b*c^3 + a)*b*d^3*x^3*log(F) + 3*F^(b*c^3 + a)*b*c*d^2*x^2*log(F) + 3*F^(b*c^3 + a)*b*c^2*d*x*log(F) + F^(b*c^3 + a)*b*c^3*log(F) - F^(b*c^3 + a))*e^(b*d^3*x^3*log(F) + 3*b*c*d^2*x^2*log(F) + 3*b*c^2*d*x*log(F))/(b^2*d*log(F)^2)","B",0
286,1,25,0,0.883032," ","integrate(F^(a+b*(d*x+c)^3)*(d*x+c)^2,x, algorithm=""maxima"")","\frac{F^{{\left(d x + c\right)}^{3} b + a}}{3 \, b d \log\left(F\right)}"," ",0,"1/3*F^((d*x + c)^3*b + a)/(b*d*log(F))","A",0
287,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^3)/(d*x+c),x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{3} b + a}}{d x + c}\,{d x}"," ",0,"integrate(F^((d*x + c)^3*b + a)/(d*x + c), x)","F",0
288,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^3)/(d*x+c)^4,x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{3} b + a}}{{\left(d x + c\right)}^{4}}\,{d x}"," ",0,"integrate(F^((d*x + c)^3*b + a)/(d*x + c)^4, x)","F",0
289,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^3)/(d*x+c)^7,x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{3} b + a}}{{\left(d x + c\right)}^{7}}\,{d x}"," ",0,"integrate(F^((d*x + c)^3*b + a)/(d*x + c)^7, x)","F",0
290,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^3)/(d*x+c)^10,x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{3} b + a}}{{\left(d x + c\right)}^{10}}\,{d x}"," ",0,"integrate(F^((d*x + c)^3*b + a)/(d*x + c)^10, x)","F",0
291,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^3)/(d*x+c)^13,x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{3} b + a}}{{\left(d x + c\right)}^{13}}\,{d x}"," ",0,"integrate(F^((d*x + c)^3*b + a)/(d*x + c)^13, x)","F",0
292,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^3)/(d*x+c)^16,x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{3} b + a}}{{\left(d x + c\right)}^{16}}\,{d x}"," ",0,"integrate(F^((d*x + c)^3*b + a)/(d*x + c)^16, x)","F",0
293,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^3)*(d*x+c)^3,x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{3} F^{{\left(d x + c\right)}^{3} b + a}\,{d x}"," ",0,"integrate((d*x + c)^3*F^((d*x + c)^3*b + a), x)","F",0
294,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^3)*(d*x+c),x, algorithm=""maxima"")","\int {\left(d x + c\right)} F^{{\left(d x + c\right)}^{3} b + a}\,{d x}"," ",0,"integrate((d*x + c)*F^((d*x + c)^3*b + a), x)","F",0
295,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^3),x, algorithm=""maxima"")","\int F^{{\left(d x + c\right)}^{3} b + a}\,{d x}"," ",0,"integrate(F^((d*x + c)^3*b + a), x)","F",0
296,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^3)/(d*x+c)^2,x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{3} b + a}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(F^((d*x + c)^3*b + a)/(d*x + c)^2, x)","F",0
297,-1,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^3)/(d*x+c)^3,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
298,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^3)/(d*x+c)^5,x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{3} b + a}}{{\left(d x + c\right)}^{5}}\,{d x}"," ",0,"integrate(F^((d*x + c)^3*b + a)/(d*x + c)^5, x)","F",0
299,1,43,0,0.636753," ","integrate(f^(a+b*(d*x+c)^(1/2)),x, algorithm=""maxima"")","\frac{2 \, {\left(\sqrt{d x + c} b f^{a} \log\left(f\right) - f^{a}\right)} f^{\sqrt{d x + c} b}}{b^{2} d \log\left(f\right)^{2}}"," ",0,"2*(sqrt(d*x + c)*b*f^a*log(f) - f^a)*f^(sqrt(d*x + c)*b)/(b^2*d*log(f)^2)","A",0
300,1,62,0,0.586738," ","integrate(f^(a+b*(d*x+c)^(1/3)),x, algorithm=""maxima"")","\frac{3 \, {\left({\left(d x + c\right)}^{\frac{2}{3}} b^{2} f^{a} \log\left(f\right)^{2} - 2 \, {\left(d x + c\right)}^{\frac{1}{3}} b f^{a} \log\left(f\right) + 2 \, f^{a}\right)} f^{{\left(d x + c\right)}^{\frac{1}{3}} b}}{b^{3} d \log\left(f\right)^{3}}"," ",0,"3*((d*x + c)^(2/3)*b^2*f^a*log(f)^2 - 2*(d*x + c)^(1/3)*b*f^a*log(f) + 2*f^a)*f^((d*x + c)^(1/3)*b)/(b^3*d*log(f)^3)","A",0
301,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c))*(d*x+c)^m,x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{m} F^{a + \frac{b}{d x + c}}\,{d x}"," ",0,"integrate((d*x + c)^m*F^(a + b/(d*x + c)), x)","F",0
302,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c))*(d*x+c)^4,x, algorithm=""maxima"")","\frac{1}{120} \, {\left(24 \, F^{a} d^{4} x^{5} + 6 \, {\left(F^{a} b d^{3} \log\left(F\right) + 20 \, F^{a} c d^{3}\right)} x^{4} + 2 \, {\left(F^{a} b^{2} d^{2} \log\left(F\right)^{2} + 12 \, F^{a} b c d^{2} \log\left(F\right) + 120 \, F^{a} c^{2} d^{2}\right)} x^{3} + {\left(F^{a} b^{3} d \log\left(F\right)^{3} + 6 \, F^{a} b^{2} c d \log\left(F\right)^{2} + 36 \, F^{a} b c^{2} d \log\left(F\right) + 240 \, F^{a} c^{3} d\right)} x^{2} + {\left(F^{a} b^{4} \log\left(F\right)^{4} + 2 \, F^{a} b^{3} c \log\left(F\right)^{3} + 6 \, F^{a} b^{2} c^{2} \log\left(F\right)^{2} + 24 \, F^{a} b c^{3} \log\left(F\right) + 120 \, F^{a} c^{4}\right)} x\right)} F^{\frac{b}{d x + c}} + \int \frac{{\left(F^{a} b^{5} d x \log\left(F\right)^{5} - F^{a} b^{4} c^{2} \log\left(F\right)^{4} - 2 \, F^{a} b^{3} c^{3} \log\left(F\right)^{3} - 6 \, F^{a} b^{2} c^{4} \log\left(F\right)^{2} - 24 \, F^{a} b c^{5} \log\left(F\right)\right)} F^{\frac{b}{d x + c}}}{120 \, {\left(d^{2} x^{2} + 2 \, c d x + c^{2}\right)}}\,{d x}"," ",0,"1/120*(24*F^a*d^4*x^5 + 6*(F^a*b*d^3*log(F) + 20*F^a*c*d^3)*x^4 + 2*(F^a*b^2*d^2*log(F)^2 + 12*F^a*b*c*d^2*log(F) + 120*F^a*c^2*d^2)*x^3 + (F^a*b^3*d*log(F)^3 + 6*F^a*b^2*c*d*log(F)^2 + 36*F^a*b*c^2*d*log(F) + 240*F^a*c^3*d)*x^2 + (F^a*b^4*log(F)^4 + 2*F^a*b^3*c*log(F)^3 + 6*F^a*b^2*c^2*log(F)^2 + 24*F^a*b*c^3*log(F) + 120*F^a*c^4)*x)*F^(b/(d*x + c)) + integrate(1/120*(F^a*b^5*d*x*log(F)^5 - F^a*b^4*c^2*log(F)^4 - 2*F^a*b^3*c^3*log(F)^3 - 6*F^a*b^2*c^4*log(F)^2 - 24*F^a*b*c^5*log(F))*F^(b/(d*x + c))/(d^2*x^2 + 2*c*d*x + c^2), x)","F",0
303,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c))*(d*x+c)^3,x, algorithm=""maxima"")","\frac{1}{24} \, {\left(6 \, F^{a} d^{3} x^{4} + 2 \, {\left(F^{a} b d^{2} \log\left(F\right) + 12 \, F^{a} c d^{2}\right)} x^{3} + {\left(F^{a} b^{2} d \log\left(F\right)^{2} + 6 \, F^{a} b c d \log\left(F\right) + 36 \, F^{a} c^{2} d\right)} x^{2} + {\left(F^{a} b^{3} \log\left(F\right)^{3} + 2 \, F^{a} b^{2} c \log\left(F\right)^{2} + 6 \, F^{a} b c^{2} \log\left(F\right) + 24 \, F^{a} c^{3}\right)} x\right)} F^{\frac{b}{d x + c}} + \int \frac{{\left(F^{a} b^{4} d x \log\left(F\right)^{4} - F^{a} b^{3} c^{2} \log\left(F\right)^{3} - 2 \, F^{a} b^{2} c^{3} \log\left(F\right)^{2} - 6 \, F^{a} b c^{4} \log\left(F\right)\right)} F^{\frac{b}{d x + c}}}{24 \, {\left(d^{2} x^{2} + 2 \, c d x + c^{2}\right)}}\,{d x}"," ",0,"1/24*(6*F^a*d^3*x^4 + 2*(F^a*b*d^2*log(F) + 12*F^a*c*d^2)*x^3 + (F^a*b^2*d*log(F)^2 + 6*F^a*b*c*d*log(F) + 36*F^a*c^2*d)*x^2 + (F^a*b^3*log(F)^3 + 2*F^a*b^2*c*log(F)^2 + 6*F^a*b*c^2*log(F) + 24*F^a*c^3)*x)*F^(b/(d*x + c)) + integrate(1/24*(F^a*b^4*d*x*log(F)^4 - F^a*b^3*c^2*log(F)^3 - 2*F^a*b^2*c^3*log(F)^2 - 6*F^a*b*c^4*log(F))*F^(b/(d*x + c))/(d^2*x^2 + 2*c*d*x + c^2), x)","F",0
304,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c))*(d*x+c)^2,x, algorithm=""maxima"")","\frac{1}{6} \, {\left(2 \, F^{a} d^{2} x^{3} + {\left(F^{a} b d \log\left(F\right) + 6 \, F^{a} c d\right)} x^{2} + {\left(F^{a} b^{2} \log\left(F\right)^{2} + 2 \, F^{a} b c \log\left(F\right) + 6 \, F^{a} c^{2}\right)} x\right)} F^{\frac{b}{d x + c}} + \int \frac{{\left(F^{a} b^{3} d x \log\left(F\right)^{3} - F^{a} b^{2} c^{2} \log\left(F\right)^{2} - 2 \, F^{a} b c^{3} \log\left(F\right)\right)} F^{\frac{b}{d x + c}}}{6 \, {\left(d^{2} x^{2} + 2 \, c d x + c^{2}\right)}}\,{d x}"," ",0,"1/6*(2*F^a*d^2*x^3 + (F^a*b*d*log(F) + 6*F^a*c*d)*x^2 + (F^a*b^2*log(F)^2 + 2*F^a*b*c*log(F) + 6*F^a*c^2)*x)*F^(b/(d*x + c)) + integrate(1/6*(F^a*b^3*d*x*log(F)^3 - F^a*b^2*c^2*log(F)^2 - 2*F^a*b*c^3*log(F))*F^(b/(d*x + c))/(d^2*x^2 + 2*c*d*x + c^2), x)","F",0
305,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c))*(d*x+c),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(F^{a} d x^{2} + {\left(F^{a} b \log\left(F\right) + 2 \, F^{a} c\right)} x\right)} F^{\frac{b}{d x + c}} + \int \frac{{\left(F^{a} b^{2} d x \log\left(F\right)^{2} - F^{a} b c^{2} \log\left(F\right)\right)} F^{\frac{b}{d x + c}}}{2 \, {\left(d^{2} x^{2} + 2 \, c d x + c^{2}\right)}}\,{d x}"," ",0,"1/2*(F^a*d*x^2 + (F^a*b*log(F) + 2*F^a*c)*x)*F^(b/(d*x + c)) + integrate(1/2*(F^a*b^2*d*x*log(F)^2 - F^a*b*c^2*log(F))*F^(b/(d*x + c))/(d^2*x^2 + 2*c*d*x + c^2), x)","F",0
306,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)),x, algorithm=""maxima"")","F^{a} b d \int \frac{F^{\frac{b}{d x + c}} x}{d^{2} x^{2} + 2 \, c d x + c^{2}}\,{d x} \log\left(F\right) + F^{a} F^{\frac{b}{d x + c}} x"," ",0,"F^a*b*d*integrate(F^(b/(d*x + c))*x/(d^2*x^2 + 2*c*d*x + c^2), x)*log(F) + F^a*F^(b/(d*x + c))*x","F",0
307,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c))/(d*x+c),x, algorithm=""maxima"")","\int \frac{F^{a + \frac{b}{d x + c}}}{d x + c}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c))/(d*x + c), x)","F",0
308,1,25,0,0.900013," ","integrate(F^(a+b/(d*x+c))/(d*x+c)^2,x, algorithm=""maxima"")","-\frac{F^{a + \frac{b}{d x + c}}}{b d \log\left(F\right)}"," ",0,"-F^(a + b/(d*x + c))/(b*d*log(F))","A",0
309,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c))/(d*x+c)^3,x, algorithm=""maxima"")","\int \frac{F^{a + \frac{b}{d x + c}}}{{\left(d x + c\right)}^{3}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c))/(d*x + c)^3, x)","F",0
310,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c))/(d*x+c)^4,x, algorithm=""maxima"")","\int \frac{F^{a + \frac{b}{d x + c}}}{{\left(d x + c\right)}^{4}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c))/(d*x + c)^4, x)","F",0
311,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c))/(d*x+c)^5,x, algorithm=""maxima"")","\int \frac{F^{a + \frac{b}{d x + c}}}{{\left(d x + c\right)}^{5}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c))/(d*x + c)^5, x)","F",0
312,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c))/(d*x+c)^6,x, algorithm=""maxima"")","\int \frac{F^{a + \frac{b}{d x + c}}}{{\left(d x + c\right)}^{6}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c))/(d*x + c)^6, x)","F",0
313,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c))/(d*x+c)^7,x, algorithm=""maxima"")","\int \frac{F^{a + \frac{b}{d x + c}}}{{\left(d x + c\right)}^{7}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c))/(d*x + c)^7, x)","F",0
314,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^m,x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{m} F^{a + \frac{b}{{\left(d x + c\right)}^{2}}}\,{d x}"," ",0,"integrate((d*x + c)^m*F^(a + b/(d*x + c)^2), x)","F",0
315,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^9,x, algorithm=""maxima"")","\frac{1}{240} \, {\left(24 \, F^{a} d^{9} x^{10} + 240 \, F^{a} c d^{8} x^{9} + 6 \, {\left(180 \, F^{a} c^{2} d^{7} + F^{a} b d^{7} \log\left(F\right)\right)} x^{8} + 48 \, {\left(60 \, F^{a} c^{3} d^{6} + F^{a} b c d^{6} \log\left(F\right)\right)} x^{7} + 2 \, {\left(2520 \, F^{a} c^{4} d^{5} + 84 \, F^{a} b c^{2} d^{5} \log\left(F\right) + F^{a} b^{2} d^{5} \log\left(F\right)^{2}\right)} x^{6} + 12 \, {\left(504 \, F^{a} c^{5} d^{4} + 28 \, F^{a} b c^{3} d^{4} \log\left(F\right) + F^{a} b^{2} c d^{4} \log\left(F\right)^{2}\right)} x^{5} + {\left(5040 \, F^{a} c^{6} d^{3} + 420 \, F^{a} b c^{4} d^{3} \log\left(F\right) + 30 \, F^{a} b^{2} c^{2} d^{3} \log\left(F\right)^{2} + F^{a} b^{3} d^{3} \log\left(F\right)^{3}\right)} x^{4} + 4 \, {\left(720 \, F^{a} c^{7} d^{2} + 84 \, F^{a} b c^{5} d^{2} \log\left(F\right) + 10 \, F^{a} b^{2} c^{3} d^{2} \log\left(F\right)^{2} + F^{a} b^{3} c d^{2} \log\left(F\right)^{3}\right)} x^{3} + {\left(1080 \, F^{a} c^{8} d + 168 \, F^{a} b c^{6} d \log\left(F\right) + 30 \, F^{a} b^{2} c^{4} d \log\left(F\right)^{2} + 6 \, F^{a} b^{3} c^{2} d \log\left(F\right)^{3} + F^{a} b^{4} d \log\left(F\right)^{4}\right)} x^{2} + 2 \, {\left(120 \, F^{a} c^{9} + 24 \, F^{a} b c^{7} \log\left(F\right) + 6 \, F^{a} b^{2} c^{5} \log\left(F\right)^{2} + 2 \, F^{a} b^{3} c^{3} \log\left(F\right)^{3} + F^{a} b^{4} c \log\left(F\right)^{4}\right)} x\right)} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}} + \int \frac{{\left(F^{a} b^{5} d^{2} x^{2} \log\left(F\right)^{5} + 2 \, F^{a} b^{5} c d x \log\left(F\right)^{5} - 24 \, F^{a} b c^{10} \log\left(F\right) - 6 \, F^{a} b^{2} c^{8} \log\left(F\right)^{2} - 2 \, F^{a} b^{3} c^{6} \log\left(F\right)^{3} - F^{a} b^{4} c^{4} \log\left(F\right)^{4}\right)} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{120 \, {\left(d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}\right)}}\,{d x}"," ",0,"1/240*(24*F^a*d^9*x^10 + 240*F^a*c*d^8*x^9 + 6*(180*F^a*c^2*d^7 + F^a*b*d^7*log(F))*x^8 + 48*(60*F^a*c^3*d^6 + F^a*b*c*d^6*log(F))*x^7 + 2*(2520*F^a*c^4*d^5 + 84*F^a*b*c^2*d^5*log(F) + F^a*b^2*d^5*log(F)^2)*x^6 + 12*(504*F^a*c^5*d^4 + 28*F^a*b*c^3*d^4*log(F) + F^a*b^2*c*d^4*log(F)^2)*x^5 + (5040*F^a*c^6*d^3 + 420*F^a*b*c^4*d^3*log(F) + 30*F^a*b^2*c^2*d^3*log(F)^2 + F^a*b^3*d^3*log(F)^3)*x^4 + 4*(720*F^a*c^7*d^2 + 84*F^a*b*c^5*d^2*log(F) + 10*F^a*b^2*c^3*d^2*log(F)^2 + F^a*b^3*c*d^2*log(F)^3)*x^3 + (1080*F^a*c^8*d + 168*F^a*b*c^6*d*log(F) + 30*F^a*b^2*c^4*d*log(F)^2 + 6*F^a*b^3*c^2*d*log(F)^3 + F^a*b^4*d*log(F)^4)*x^2 + 2*(120*F^a*c^9 + 24*F^a*b*c^7*log(F) + 6*F^a*b^2*c^5*log(F)^2 + 2*F^a*b^3*c^3*log(F)^3 + F^a*b^4*c*log(F)^4)*x)*F^(b/(d^2*x^2 + 2*c*d*x + c^2)) + integrate(1/120*(F^a*b^5*d^2*x^2*log(F)^5 + 2*F^a*b^5*c*d*x*log(F)^5 - 24*F^a*b*c^10*log(F) - 6*F^a*b^2*c^8*log(F)^2 - 2*F^a*b^3*c^6*log(F)^3 - F^a*b^4*c^4*log(F)^4)*F^(b/(d^2*x^2 + 2*c*d*x + c^2))/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x)","F",0
316,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^7,x, algorithm=""maxima"")","\frac{1}{48} \, {\left(6 \, F^{a} d^{7} x^{8} + 48 \, F^{a} c d^{6} x^{7} + 2 \, {\left(84 \, F^{a} c^{2} d^{5} + F^{a} b d^{5} \log\left(F\right)\right)} x^{6} + 12 \, {\left(28 \, F^{a} c^{3} d^{4} + F^{a} b c d^{4} \log\left(F\right)\right)} x^{5} + {\left(420 \, F^{a} c^{4} d^{3} + 30 \, F^{a} b c^{2} d^{3} \log\left(F\right) + F^{a} b^{2} d^{3} \log\left(F\right)^{2}\right)} x^{4} + 4 \, {\left(84 \, F^{a} c^{5} d^{2} + 10 \, F^{a} b c^{3} d^{2} \log\left(F\right) + F^{a} b^{2} c d^{2} \log\left(F\right)^{2}\right)} x^{3} + {\left(168 \, F^{a} c^{6} d + 30 \, F^{a} b c^{4} d \log\left(F\right) + 6 \, F^{a} b^{2} c^{2} d \log\left(F\right)^{2} + F^{a} b^{3} d \log\left(F\right)^{3}\right)} x^{2} + 2 \, {\left(24 \, F^{a} c^{7} + 6 \, F^{a} b c^{5} \log\left(F\right) + 2 \, F^{a} b^{2} c^{3} \log\left(F\right)^{2} + F^{a} b^{3} c \log\left(F\right)^{3}\right)} x\right)} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}} + \int \frac{{\left(F^{a} b^{4} d^{2} x^{2} \log\left(F\right)^{4} + 2 \, F^{a} b^{4} c d x \log\left(F\right)^{4} - 6 \, F^{a} b c^{8} \log\left(F\right) - 2 \, F^{a} b^{2} c^{6} \log\left(F\right)^{2} - F^{a} b^{3} c^{4} \log\left(F\right)^{3}\right)} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{24 \, {\left(d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}\right)}}\,{d x}"," ",0,"1/48*(6*F^a*d^7*x^8 + 48*F^a*c*d^6*x^7 + 2*(84*F^a*c^2*d^5 + F^a*b*d^5*log(F))*x^6 + 12*(28*F^a*c^3*d^4 + F^a*b*c*d^4*log(F))*x^5 + (420*F^a*c^4*d^3 + 30*F^a*b*c^2*d^3*log(F) + F^a*b^2*d^3*log(F)^2)*x^4 + 4*(84*F^a*c^5*d^2 + 10*F^a*b*c^3*d^2*log(F) + F^a*b^2*c*d^2*log(F)^2)*x^3 + (168*F^a*c^6*d + 30*F^a*b*c^4*d*log(F) + 6*F^a*b^2*c^2*d*log(F)^2 + F^a*b^3*d*log(F)^3)*x^2 + 2*(24*F^a*c^7 + 6*F^a*b*c^5*log(F) + 2*F^a*b^2*c^3*log(F)^2 + F^a*b^3*c*log(F)^3)*x)*F^(b/(d^2*x^2 + 2*c*d*x + c^2)) + integrate(1/24*(F^a*b^4*d^2*x^2*log(F)^4 + 2*F^a*b^4*c*d*x*log(F)^4 - 6*F^a*b*c^8*log(F) - 2*F^a*b^2*c^6*log(F)^2 - F^a*b^3*c^4*log(F)^3)*F^(b/(d^2*x^2 + 2*c*d*x + c^2))/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x)","F",0
317,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^5,x, algorithm=""maxima"")","\frac{1}{12} \, {\left(2 \, F^{a} d^{5} x^{6} + 12 \, F^{a} c d^{4} x^{5} + {\left(30 \, F^{a} c^{2} d^{3} + F^{a} b d^{3} \log\left(F\right)\right)} x^{4} + 4 \, {\left(10 \, F^{a} c^{3} d^{2} + F^{a} b c d^{2} \log\left(F\right)\right)} x^{3} + {\left(30 \, F^{a} c^{4} d + 6 \, F^{a} b c^{2} d \log\left(F\right) + F^{a} b^{2} d \log\left(F\right)^{2}\right)} x^{2} + 2 \, {\left(6 \, F^{a} c^{5} + 2 \, F^{a} b c^{3} \log\left(F\right) + F^{a} b^{2} c \log\left(F\right)^{2}\right)} x\right)} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}} + \int \frac{{\left(F^{a} b^{3} d^{2} x^{2} \log\left(F\right)^{3} + 2 \, F^{a} b^{3} c d x \log\left(F\right)^{3} - 2 \, F^{a} b c^{6} \log\left(F\right) - F^{a} b^{2} c^{4} \log\left(F\right)^{2}\right)} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{6 \, {\left(d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}\right)}}\,{d x}"," ",0,"1/12*(2*F^a*d^5*x^6 + 12*F^a*c*d^4*x^5 + (30*F^a*c^2*d^3 + F^a*b*d^3*log(F))*x^4 + 4*(10*F^a*c^3*d^2 + F^a*b*c*d^2*log(F))*x^3 + (30*F^a*c^4*d + 6*F^a*b*c^2*d*log(F) + F^a*b^2*d*log(F)^2)*x^2 + 2*(6*F^a*c^5 + 2*F^a*b*c^3*log(F) + F^a*b^2*c*log(F)^2)*x)*F^(b/(d^2*x^2 + 2*c*d*x + c^2)) + integrate(1/6*(F^a*b^3*d^2*x^2*log(F)^3 + 2*F^a*b^3*c*d*x*log(F)^3 - 2*F^a*b*c^6*log(F) - F^a*b^2*c^4*log(F)^2)*F^(b/(d^2*x^2 + 2*c*d*x + c^2))/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x)","F",0
318,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^3,x, algorithm=""maxima"")","\frac{1}{4} \, {\left(F^{a} d^{3} x^{4} + 4 \, F^{a} c d^{2} x^{3} + {\left(6 \, F^{a} c^{2} d + F^{a} b d \log\left(F\right)\right)} x^{2} + 2 \, {\left(2 \, F^{a} c^{3} + F^{a} b c \log\left(F\right)\right)} x\right)} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}} + \int \frac{{\left(F^{a} b^{2} d^{2} x^{2} \log\left(F\right)^{2} + 2 \, F^{a} b^{2} c d x \log\left(F\right)^{2} - F^{a} b c^{4} \log\left(F\right)\right)} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{2 \, {\left(d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}\right)}}\,{d x}"," ",0,"1/4*(F^a*d^3*x^4 + 4*F^a*c*d^2*x^3 + (6*F^a*c^2*d + F^a*b*d*log(F))*x^2 + 2*(2*F^a*c^3 + F^a*b*c*log(F))*x)*F^(b/(d^2*x^2 + 2*c*d*x + c^2)) + integrate(1/2*(F^a*b^2*d^2*x^2*log(F)^2 + 2*F^a*b^2*c*d*x*log(F)^2 - F^a*b*c^4*log(F))*F^(b/(d^2*x^2 + 2*c*d*x + c^2))/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x)","F",0
319,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(F^{a} d x^{2} + 2 \, F^{a} c x\right)} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}} + \int \frac{{\left(F^{a} b d^{2} x^{2} \log\left(F\right) + 2 \, F^{a} b c d x \log\left(F\right)\right)} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\,{d x}"," ",0,"1/2*(F^a*d*x^2 + 2*F^a*c*x)*F^(b/(d^2*x^2 + 2*c*d*x + c^2)) + integrate((F^a*b*d^2*x^2*log(F) + 2*F^a*b*c*d*x*log(F))*F^(b/(d^2*x^2 + 2*c*d*x + c^2))/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x)","F",0
320,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c),x, algorithm=""maxima"")","\int \frac{F^{a + \frac{b}{{\left(d x + c\right)}^{2}}}}{d x + c}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c)^2)/(d*x + c), x)","F",0
321,1,25,0,0.884736," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^3,x, algorithm=""maxima"")","-\frac{F^{a + \frac{b}{{\left(d x + c\right)}^{2}}}}{2 \, b d \log\left(F\right)}"," ",0,"-1/2*F^(a + b/(d*x + c)^2)/(b*d*log(F))","A",0
322,1,101,0,0.981854," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^5,x, algorithm=""maxima"")","\frac{{\left(F^{a} d^{2} x^{2} + 2 \, F^{a} c d x + F^{a} c^{2} - F^{a} b \log\left(F\right)\right)} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{2 \, {\left(b^{2} d^{3} x^{2} \log\left(F\right)^{2} + 2 \, b^{2} c d^{2} x \log\left(F\right)^{2} + b^{2} c^{2} d \log\left(F\right)^{2}\right)}}"," ",0,"1/2*(F^a*d^2*x^2 + 2*F^a*c*d*x + F^a*c^2 - F^a*b*log(F))*F^(b/(d^2*x^2 + 2*c*d*x + c^2))/(b^2*d^3*x^2*log(F)^2 + 2*b^2*c*d^2*x*log(F)^2 + b^2*c^2*d*log(F)^2)","A",0
323,1,208,0,1.009574," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^7,x, algorithm=""maxima"")","-\frac{{\left(2 \, F^{a} d^{4} x^{4} + 8 \, F^{a} c d^{3} x^{3} + 2 \, F^{a} c^{4} - 2 \, F^{a} b c^{2} \log\left(F\right) + F^{a} b^{2} \log\left(F\right)^{2} + 2 \, {\left(6 \, F^{a} c^{2} d^{2} - F^{a} b d^{2} \log\left(F\right)\right)} x^{2} + 4 \, {\left(2 \, F^{a} c^{3} d - F^{a} b c d \log\left(F\right)\right)} x\right)} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{2 \, {\left(b^{3} d^{5} x^{4} \log\left(F\right)^{3} + 4 \, b^{3} c d^{4} x^{3} \log\left(F\right)^{3} + 6 \, b^{3} c^{2} d^{3} x^{2} \log\left(F\right)^{3} + 4 \, b^{3} c^{3} d^{2} x \log\left(F\right)^{3} + b^{3} c^{4} d \log\left(F\right)^{3}\right)}}"," ",0,"-1/2*(2*F^a*d^4*x^4 + 8*F^a*c*d^3*x^3 + 2*F^a*c^4 - 2*F^a*b*c^2*log(F) + F^a*b^2*log(F)^2 + 2*(6*F^a*c^2*d^2 - F^a*b*d^2*log(F))*x^2 + 4*(2*F^a*c^3*d - F^a*b*c*d*log(F))*x)*F^(b/(d^2*x^2 + 2*c*d*x + c^2))/(b^3*d^5*x^4*log(F)^3 + 4*b^3*c*d^4*x^3*log(F)^3 + 6*b^3*c^2*d^3*x^2*log(F)^3 + 4*b^3*c^3*d^2*x*log(F)^3 + b^3*c^4*d*log(F)^3)","B",0
324,1,349,0,1.082346," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^9,x, algorithm=""maxima"")","\frac{{\left(6 \, F^{a} d^{6} x^{6} + 36 \, F^{a} c d^{5} x^{5} + 6 \, F^{a} c^{6} - 6 \, F^{a} b c^{4} \log\left(F\right) + 3 \, F^{a} b^{2} c^{2} \log\left(F\right)^{2} - F^{a} b^{3} \log\left(F\right)^{3} + 6 \, {\left(15 \, F^{a} c^{2} d^{4} - F^{a} b d^{4} \log\left(F\right)\right)} x^{4} + 24 \, {\left(5 \, F^{a} c^{3} d^{3} - F^{a} b c d^{3} \log\left(F\right)\right)} x^{3} + 3 \, {\left(30 \, F^{a} c^{4} d^{2} - 12 \, F^{a} b c^{2} d^{2} \log\left(F\right) + F^{a} b^{2} d^{2} \log\left(F\right)^{2}\right)} x^{2} + 6 \, {\left(6 \, F^{a} c^{5} d - 4 \, F^{a} b c^{3} d \log\left(F\right) + F^{a} b^{2} c d \log\left(F\right)^{2}\right)} x\right)} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{2 \, {\left(b^{4} d^{7} x^{6} \log\left(F\right)^{4} + 6 \, b^{4} c d^{6} x^{5} \log\left(F\right)^{4} + 15 \, b^{4} c^{2} d^{5} x^{4} \log\left(F\right)^{4} + 20 \, b^{4} c^{3} d^{4} x^{3} \log\left(F\right)^{4} + 15 \, b^{4} c^{4} d^{3} x^{2} \log\left(F\right)^{4} + 6 \, b^{4} c^{5} d^{2} x \log\left(F\right)^{4} + b^{4} c^{6} d \log\left(F\right)^{4}\right)}}"," ",0,"1/2*(6*F^a*d^6*x^6 + 36*F^a*c*d^5*x^5 + 6*F^a*c^6 - 6*F^a*b*c^4*log(F) + 3*F^a*b^2*c^2*log(F)^2 - F^a*b^3*log(F)^3 + 6*(15*F^a*c^2*d^4 - F^a*b*d^4*log(F))*x^4 + 24*(5*F^a*c^3*d^3 - F^a*b*c*d^3*log(F))*x^3 + 3*(30*F^a*c^4*d^2 - 12*F^a*b*c^2*d^2*log(F) + F^a*b^2*d^2*log(F)^2)*x^2 + 6*(6*F^a*c^5*d - 4*F^a*b*c^3*d*log(F) + F^a*b^2*c*d*log(F)^2)*x)*F^(b/(d^2*x^2 + 2*c*d*x + c^2))/(b^4*d^7*x^6*log(F)^4 + 6*b^4*c*d^6*x^5*log(F)^4 + 15*b^4*c^2*d^5*x^4*log(F)^4 + 20*b^4*c^3*d^4*x^3*log(F)^4 + 15*b^4*c^4*d^3*x^2*log(F)^4 + 6*b^4*c^5*d^2*x*log(F)^4 + b^4*c^6*d*log(F)^4)","B",0
325,1,526,0,1.135834," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^11,x, algorithm=""maxima"")","-\frac{{\left(24 \, F^{a} d^{8} x^{8} + 192 \, F^{a} c d^{7} x^{7} + 24 \, F^{a} c^{8} - 24 \, F^{a} b c^{6} \log\left(F\right) + 12 \, F^{a} b^{2} c^{4} \log\left(F\right)^{2} - 4 \, F^{a} b^{3} c^{2} \log\left(F\right)^{3} + F^{a} b^{4} \log\left(F\right)^{4} + 24 \, {\left(28 \, F^{a} c^{2} d^{6} - F^{a} b d^{6} \log\left(F\right)\right)} x^{6} + 48 \, {\left(28 \, F^{a} c^{3} d^{5} - 3 \, F^{a} b c d^{5} \log\left(F\right)\right)} x^{5} + 12 \, {\left(140 \, F^{a} c^{4} d^{4} - 30 \, F^{a} b c^{2} d^{4} \log\left(F\right) + F^{a} b^{2} d^{4} \log\left(F\right)^{2}\right)} x^{4} + 48 \, {\left(28 \, F^{a} c^{5} d^{3} - 10 \, F^{a} b c^{3} d^{3} \log\left(F\right) + F^{a} b^{2} c d^{3} \log\left(F\right)^{2}\right)} x^{3} + 4 \, {\left(168 \, F^{a} c^{6} d^{2} - 90 \, F^{a} b c^{4} d^{2} \log\left(F\right) + 18 \, F^{a} b^{2} c^{2} d^{2} \log\left(F\right)^{2} - F^{a} b^{3} d^{2} \log\left(F\right)^{3}\right)} x^{2} + 8 \, {\left(24 \, F^{a} c^{7} d - 18 \, F^{a} b c^{5} d \log\left(F\right) + 6 \, F^{a} b^{2} c^{3} d \log\left(F\right)^{2} - F^{a} b^{3} c d \log\left(F\right)^{3}\right)} x\right)} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{2 \, {\left(b^{5} d^{9} x^{8} \log\left(F\right)^{5} + 8 \, b^{5} c d^{8} x^{7} \log\left(F\right)^{5} + 28 \, b^{5} c^{2} d^{7} x^{6} \log\left(F\right)^{5} + 56 \, b^{5} c^{3} d^{6} x^{5} \log\left(F\right)^{5} + 70 \, b^{5} c^{4} d^{5} x^{4} \log\left(F\right)^{5} + 56 \, b^{5} c^{5} d^{4} x^{3} \log\left(F\right)^{5} + 28 \, b^{5} c^{6} d^{3} x^{2} \log\left(F\right)^{5} + 8 \, b^{5} c^{7} d^{2} x \log\left(F\right)^{5} + b^{5} c^{8} d \log\left(F\right)^{5}\right)}}"," ",0,"-1/2*(24*F^a*d^8*x^8 + 192*F^a*c*d^7*x^7 + 24*F^a*c^8 - 24*F^a*b*c^6*log(F) + 12*F^a*b^2*c^4*log(F)^2 - 4*F^a*b^3*c^2*log(F)^3 + F^a*b^4*log(F)^4 + 24*(28*F^a*c^2*d^6 - F^a*b*d^6*log(F))*x^6 + 48*(28*F^a*c^3*d^5 - 3*F^a*b*c*d^5*log(F))*x^5 + 12*(140*F^a*c^4*d^4 - 30*F^a*b*c^2*d^4*log(F) + F^a*b^2*d^4*log(F)^2)*x^4 + 48*(28*F^a*c^5*d^3 - 10*F^a*b*c^3*d^3*log(F) + F^a*b^2*c*d^3*log(F)^2)*x^3 + 4*(168*F^a*c^6*d^2 - 90*F^a*b*c^4*d^2*log(F) + 18*F^a*b^2*c^2*d^2*log(F)^2 - F^a*b^3*d^2*log(F)^3)*x^2 + 8*(24*F^a*c^7*d - 18*F^a*b*c^5*d*log(F) + 6*F^a*b^2*c^3*d*log(F)^2 - F^a*b^3*c*d*log(F)^3)*x)*F^(b/(d^2*x^2 + 2*c*d*x + c^2))/(b^5*d^9*x^8*log(F)^5 + 8*b^5*c*d^8*x^7*log(F)^5 + 28*b^5*c^2*d^7*x^6*log(F)^5 + 56*b^5*c^3*d^6*x^5*log(F)^5 + 70*b^5*c^4*d^5*x^4*log(F)^5 + 56*b^5*c^5*d^4*x^3*log(F)^5 + 28*b^5*c^6*d^3*x^2*log(F)^5 + 8*b^5*c^7*d^2*x*log(F)^5 + b^5*c^8*d*log(F)^5)","B",0
326,1,740,0,1.189339," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^13,x, algorithm=""maxima"")","\frac{{\left(120 \, F^{a} d^{10} x^{10} + 1200 \, F^{a} c d^{9} x^{9} + 120 \, F^{a} c^{10} - 120 \, F^{a} b c^{8} \log\left(F\right) + 60 \, F^{a} b^{2} c^{6} \log\left(F\right)^{2} - 20 \, F^{a} b^{3} c^{4} \log\left(F\right)^{3} + 5 \, F^{a} b^{4} c^{2} \log\left(F\right)^{4} - F^{a} b^{5} \log\left(F\right)^{5} + 120 \, {\left(45 \, F^{a} c^{2} d^{8} - F^{a} b d^{8} \log\left(F\right)\right)} x^{8} + 960 \, {\left(15 \, F^{a} c^{3} d^{7} - F^{a} b c d^{7} \log\left(F\right)\right)} x^{7} + 60 \, {\left(420 \, F^{a} c^{4} d^{6} - 56 \, F^{a} b c^{2} d^{6} \log\left(F\right) + F^{a} b^{2} d^{6} \log\left(F\right)^{2}\right)} x^{6} + 120 \, {\left(252 \, F^{a} c^{5} d^{5} - 56 \, F^{a} b c^{3} d^{5} \log\left(F\right) + 3 \, F^{a} b^{2} c d^{5} \log\left(F\right)^{2}\right)} x^{5} + 20 \, {\left(1260 \, F^{a} c^{6} d^{4} - 420 \, F^{a} b c^{4} d^{4} \log\left(F\right) + 45 \, F^{a} b^{2} c^{2} d^{4} \log\left(F\right)^{2} - F^{a} b^{3} d^{4} \log\left(F\right)^{3}\right)} x^{4} + 80 \, {\left(180 \, F^{a} c^{7} d^{3} - 84 \, F^{a} b c^{5} d^{3} \log\left(F\right) + 15 \, F^{a} b^{2} c^{3} d^{3} \log\left(F\right)^{2} - F^{a} b^{3} c d^{3} \log\left(F\right)^{3}\right)} x^{3} + 5 \, {\left(1080 \, F^{a} c^{8} d^{2} - 672 \, F^{a} b c^{6} d^{2} \log\left(F\right) + 180 \, F^{a} b^{2} c^{4} d^{2} \log\left(F\right)^{2} - 24 \, F^{a} b^{3} c^{2} d^{2} \log\left(F\right)^{3} + F^{a} b^{4} d^{2} \log\left(F\right)^{4}\right)} x^{2} + 10 \, {\left(120 \, F^{a} c^{9} d - 96 \, F^{a} b c^{7} d \log\left(F\right) + 36 \, F^{a} b^{2} c^{5} d \log\left(F\right)^{2} - 8 \, F^{a} b^{3} c^{3} d \log\left(F\right)^{3} + F^{a} b^{4} c d \log\left(F\right)^{4}\right)} x\right)} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{2 \, {\left(b^{6} d^{11} x^{10} \log\left(F\right)^{6} + 10 \, b^{6} c d^{10} x^{9} \log\left(F\right)^{6} + 45 \, b^{6} c^{2} d^{9} x^{8} \log\left(F\right)^{6} + 120 \, b^{6} c^{3} d^{8} x^{7} \log\left(F\right)^{6} + 210 \, b^{6} c^{4} d^{7} x^{6} \log\left(F\right)^{6} + 252 \, b^{6} c^{5} d^{6} x^{5} \log\left(F\right)^{6} + 210 \, b^{6} c^{6} d^{5} x^{4} \log\left(F\right)^{6} + 120 \, b^{6} c^{7} d^{4} x^{3} \log\left(F\right)^{6} + 45 \, b^{6} c^{8} d^{3} x^{2} \log\left(F\right)^{6} + 10 \, b^{6} c^{9} d^{2} x \log\left(F\right)^{6} + b^{6} c^{10} d \log\left(F\right)^{6}\right)}}"," ",0,"1/2*(120*F^a*d^10*x^10 + 1200*F^a*c*d^9*x^9 + 120*F^a*c^10 - 120*F^a*b*c^8*log(F) + 60*F^a*b^2*c^6*log(F)^2 - 20*F^a*b^3*c^4*log(F)^3 + 5*F^a*b^4*c^2*log(F)^4 - F^a*b^5*log(F)^5 + 120*(45*F^a*c^2*d^8 - F^a*b*d^8*log(F))*x^8 + 960*(15*F^a*c^3*d^7 - F^a*b*c*d^7*log(F))*x^7 + 60*(420*F^a*c^4*d^6 - 56*F^a*b*c^2*d^6*log(F) + F^a*b^2*d^6*log(F)^2)*x^6 + 120*(252*F^a*c^5*d^5 - 56*F^a*b*c^3*d^5*log(F) + 3*F^a*b^2*c*d^5*log(F)^2)*x^5 + 20*(1260*F^a*c^6*d^4 - 420*F^a*b*c^4*d^4*log(F) + 45*F^a*b^2*c^2*d^4*log(F)^2 - F^a*b^3*d^4*log(F)^3)*x^4 + 80*(180*F^a*c^7*d^3 - 84*F^a*b*c^5*d^3*log(F) + 15*F^a*b^2*c^3*d^3*log(F)^2 - F^a*b^3*c*d^3*log(F)^3)*x^3 + 5*(1080*F^a*c^8*d^2 - 672*F^a*b*c^6*d^2*log(F) + 180*F^a*b^2*c^4*d^2*log(F)^2 - 24*F^a*b^3*c^2*d^2*log(F)^3 + F^a*b^4*d^2*log(F)^4)*x^2 + 10*(120*F^a*c^9*d - 96*F^a*b*c^7*d*log(F) + 36*F^a*b^2*c^5*d*log(F)^2 - 8*F^a*b^3*c^3*d*log(F)^3 + F^a*b^4*c*d*log(F)^4)*x)*F^(b/(d^2*x^2 + 2*c*d*x + c^2))/(b^6*d^11*x^10*log(F)^6 + 10*b^6*c*d^10*x^9*log(F)^6 + 45*b^6*c^2*d^9*x^8*log(F)^6 + 120*b^6*c^3*d^8*x^7*log(F)^6 + 210*b^6*c^4*d^7*x^6*log(F)^6 + 252*b^6*c^5*d^6*x^5*log(F)^6 + 210*b^6*c^6*d^5*x^4*log(F)^6 + 120*b^6*c^7*d^4*x^3*log(F)^6 + 45*b^6*c^8*d^3*x^2*log(F)^6 + 10*b^6*c^9*d^2*x*log(F)^6 + b^6*c^10*d*log(F)^6)","B",0
327,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^10,x, algorithm=""maxima"")","\frac{1}{10395} \, {\left(945 \, F^{a} d^{10} x^{11} + 10395 \, F^{a} c d^{9} x^{10} + 105 \, {\left(495 \, F^{a} c^{2} d^{8} + 2 \, F^{a} b d^{8} \log\left(F\right)\right)} x^{9} + 945 \, {\left(165 \, F^{a} c^{3} d^{7} + 2 \, F^{a} b c d^{7} \log\left(F\right)\right)} x^{8} + 30 \, {\left(10395 \, F^{a} c^{4} d^{6} + 252 \, F^{a} b c^{2} d^{6} \log\left(F\right) + 2 \, F^{a} b^{2} d^{6} \log\left(F\right)^{2}\right)} x^{7} + 210 \, {\left(2079 \, F^{a} c^{5} d^{5} + 84 \, F^{a} b c^{3} d^{5} \log\left(F\right) + 2 \, F^{a} b^{2} c d^{5} \log\left(F\right)^{2}\right)} x^{6} + 6 \, {\left(72765 \, F^{a} c^{6} d^{4} + 4410 \, F^{a} b c^{4} d^{4} \log\left(F\right) + 210 \, F^{a} b^{2} c^{2} d^{4} \log\left(F\right)^{2} + 4 \, F^{a} b^{3} d^{4} \log\left(F\right)^{3}\right)} x^{5} + 30 \, {\left(10395 \, F^{a} c^{7} d^{3} + 882 \, F^{a} b c^{5} d^{3} \log\left(F\right) + 70 \, F^{a} b^{2} c^{3} d^{3} \log\left(F\right)^{2} + 4 \, F^{a} b^{3} c d^{3} \log\left(F\right)^{3}\right)} x^{4} + {\left(155925 \, F^{a} c^{8} d^{2} + 17640 \, F^{a} b c^{6} d^{2} \log\left(F\right) + 2100 \, F^{a} b^{2} c^{4} d^{2} \log\left(F\right)^{2} + 240 \, F^{a} b^{3} c^{2} d^{2} \log\left(F\right)^{3} + 16 \, F^{a} b^{4} d^{2} \log\left(F\right)^{4}\right)} x^{3} + 3 \, {\left(17325 \, F^{a} c^{9} d + 2520 \, F^{a} b c^{7} d \log\left(F\right) + 420 \, F^{a} b^{2} c^{5} d \log\left(F\right)^{2} + 80 \, F^{a} b^{3} c^{3} d \log\left(F\right)^{3} + 16 \, F^{a} b^{4} c d \log\left(F\right)^{4}\right)} x^{2} + {\left(10395 \, F^{a} c^{10} + 1890 \, F^{a} b c^{8} \log\left(F\right) + 420 \, F^{a} b^{2} c^{6} \log\left(F\right)^{2} + 120 \, F^{a} b^{3} c^{4} \log\left(F\right)^{3} + 48 \, F^{a} b^{4} c^{2} \log\left(F\right)^{4} + 32 \, F^{a} b^{5} \log\left(F\right)^{5}\right)} x\right)} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}} + \int \frac{2 \, {\left(32 \, F^{a} b^{6} d x \log\left(F\right)^{6} - 945 \, F^{a} b c^{11} \log\left(F\right) - 210 \, F^{a} b^{2} c^{9} \log\left(F\right)^{2} - 60 \, F^{a} b^{3} c^{7} \log\left(F\right)^{3} - 24 \, F^{a} b^{4} c^{5} \log\left(F\right)^{4} - 16 \, F^{a} b^{5} c^{3} \log\left(F\right)^{5}\right)} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{10395 \, {\left(d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}\right)}}\,{d x}"," ",0,"1/10395*(945*F^a*d^10*x^11 + 10395*F^a*c*d^9*x^10 + 105*(495*F^a*c^2*d^8 + 2*F^a*b*d^8*log(F))*x^9 + 945*(165*F^a*c^3*d^7 + 2*F^a*b*c*d^7*log(F))*x^8 + 30*(10395*F^a*c^4*d^6 + 252*F^a*b*c^2*d^6*log(F) + 2*F^a*b^2*d^6*log(F)^2)*x^7 + 210*(2079*F^a*c^5*d^5 + 84*F^a*b*c^3*d^5*log(F) + 2*F^a*b^2*c*d^5*log(F)^2)*x^6 + 6*(72765*F^a*c^6*d^4 + 4410*F^a*b*c^4*d^4*log(F) + 210*F^a*b^2*c^2*d^4*log(F)^2 + 4*F^a*b^3*d^4*log(F)^3)*x^5 + 30*(10395*F^a*c^7*d^3 + 882*F^a*b*c^5*d^3*log(F) + 70*F^a*b^2*c^3*d^3*log(F)^2 + 4*F^a*b^3*c*d^3*log(F)^3)*x^4 + (155925*F^a*c^8*d^2 + 17640*F^a*b*c^6*d^2*log(F) + 2100*F^a*b^2*c^4*d^2*log(F)^2 + 240*F^a*b^3*c^2*d^2*log(F)^3 + 16*F^a*b^4*d^2*log(F)^4)*x^3 + 3*(17325*F^a*c^9*d + 2520*F^a*b*c^7*d*log(F) + 420*F^a*b^2*c^5*d*log(F)^2 + 80*F^a*b^3*c^3*d*log(F)^3 + 16*F^a*b^4*c*d*log(F)^4)*x^2 + (10395*F^a*c^10 + 1890*F^a*b*c^8*log(F) + 420*F^a*b^2*c^6*log(F)^2 + 120*F^a*b^3*c^4*log(F)^3 + 48*F^a*b^4*c^2*log(F)^4 + 32*F^a*b^5*log(F)^5)*x)*F^(b/(d^2*x^2 + 2*c*d*x + c^2)) + integrate(2/10395*(32*F^a*b^6*d*x*log(F)^6 - 945*F^a*b*c^11*log(F) - 210*F^a*b^2*c^9*log(F)^2 - 60*F^a*b^3*c^7*log(F)^3 - 24*F^a*b^4*c^5*log(F)^4 - 16*F^a*b^5*c^3*log(F)^5)*F^(b/(d^2*x^2 + 2*c*d*x + c^2))/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x)","F",0
328,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^8,x, algorithm=""maxima"")","\frac{1}{945} \, {\left(105 \, F^{a} d^{8} x^{9} + 945 \, F^{a} c d^{7} x^{8} + 30 \, {\left(126 \, F^{a} c^{2} d^{6} + F^{a} b d^{6} \log\left(F\right)\right)} x^{7} + 210 \, {\left(42 \, F^{a} c^{3} d^{5} + F^{a} b c d^{5} \log\left(F\right)\right)} x^{6} + 6 \, {\left(2205 \, F^{a} c^{4} d^{4} + 105 \, F^{a} b c^{2} d^{4} \log\left(F\right) + 2 \, F^{a} b^{2} d^{4} \log\left(F\right)^{2}\right)} x^{5} + 30 \, {\left(441 \, F^{a} c^{5} d^{3} + 35 \, F^{a} b c^{3} d^{3} \log\left(F\right) + 2 \, F^{a} b^{2} c d^{3} \log\left(F\right)^{2}\right)} x^{4} + 2 \, {\left(4410 \, F^{a} c^{6} d^{2} + 525 \, F^{a} b c^{4} d^{2} \log\left(F\right) + 60 \, F^{a} b^{2} c^{2} d^{2} \log\left(F\right)^{2} + 4 \, F^{a} b^{3} d^{2} \log\left(F\right)^{3}\right)} x^{3} + 6 \, {\left(630 \, F^{a} c^{7} d + 105 \, F^{a} b c^{5} d \log\left(F\right) + 20 \, F^{a} b^{2} c^{3} d \log\left(F\right)^{2} + 4 \, F^{a} b^{3} c d \log\left(F\right)^{3}\right)} x^{2} + {\left(945 \, F^{a} c^{8} + 210 \, F^{a} b c^{6} \log\left(F\right) + 60 \, F^{a} b^{2} c^{4} \log\left(F\right)^{2} + 24 \, F^{a} b^{3} c^{2} \log\left(F\right)^{3} + 16 \, F^{a} b^{4} \log\left(F\right)^{4}\right)} x\right)} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}} + \int \frac{2 \, {\left(16 \, F^{a} b^{5} d x \log\left(F\right)^{5} - 105 \, F^{a} b c^{9} \log\left(F\right) - 30 \, F^{a} b^{2} c^{7} \log\left(F\right)^{2} - 12 \, F^{a} b^{3} c^{5} \log\left(F\right)^{3} - 8 \, F^{a} b^{4} c^{3} \log\left(F\right)^{4}\right)} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{945 \, {\left(d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}\right)}}\,{d x}"," ",0,"1/945*(105*F^a*d^8*x^9 + 945*F^a*c*d^7*x^8 + 30*(126*F^a*c^2*d^6 + F^a*b*d^6*log(F))*x^7 + 210*(42*F^a*c^3*d^5 + F^a*b*c*d^5*log(F))*x^6 + 6*(2205*F^a*c^4*d^4 + 105*F^a*b*c^2*d^4*log(F) + 2*F^a*b^2*d^4*log(F)^2)*x^5 + 30*(441*F^a*c^5*d^3 + 35*F^a*b*c^3*d^3*log(F) + 2*F^a*b^2*c*d^3*log(F)^2)*x^4 + 2*(4410*F^a*c^6*d^2 + 525*F^a*b*c^4*d^2*log(F) + 60*F^a*b^2*c^2*d^2*log(F)^2 + 4*F^a*b^3*d^2*log(F)^3)*x^3 + 6*(630*F^a*c^7*d + 105*F^a*b*c^5*d*log(F) + 20*F^a*b^2*c^3*d*log(F)^2 + 4*F^a*b^3*c*d*log(F)^3)*x^2 + (945*F^a*c^8 + 210*F^a*b*c^6*log(F) + 60*F^a*b^2*c^4*log(F)^2 + 24*F^a*b^3*c^2*log(F)^3 + 16*F^a*b^4*log(F)^4)*x)*F^(b/(d^2*x^2 + 2*c*d*x + c^2)) + integrate(2/945*(16*F^a*b^5*d*x*log(F)^5 - 105*F^a*b*c^9*log(F) - 30*F^a*b^2*c^7*log(F)^2 - 12*F^a*b^3*c^5*log(F)^3 - 8*F^a*b^4*c^3*log(F)^4)*F^(b/(d^2*x^2 + 2*c*d*x + c^2))/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x)","F",0
329,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^6,x, algorithm=""maxima"")","\frac{1}{105} \, {\left(15 \, F^{a} d^{6} x^{7} + 105 \, F^{a} c d^{5} x^{6} + 3 \, {\left(105 \, F^{a} c^{2} d^{4} + 2 \, F^{a} b d^{4} \log\left(F\right)\right)} x^{5} + 15 \, {\left(35 \, F^{a} c^{3} d^{3} + 2 \, F^{a} b c d^{3} \log\left(F\right)\right)} x^{4} + {\left(525 \, F^{a} c^{4} d^{2} + 60 \, F^{a} b c^{2} d^{2} \log\left(F\right) + 4 \, F^{a} b^{2} d^{2} \log\left(F\right)^{2}\right)} x^{3} + 3 \, {\left(105 \, F^{a} c^{5} d + 20 \, F^{a} b c^{3} d \log\left(F\right) + 4 \, F^{a} b^{2} c d \log\left(F\right)^{2}\right)} x^{2} + {\left(105 \, F^{a} c^{6} + 30 \, F^{a} b c^{4} \log\left(F\right) + 12 \, F^{a} b^{2} c^{2} \log\left(F\right)^{2} + 8 \, F^{a} b^{3} \log\left(F\right)^{3}\right)} x\right)} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}} + \int \frac{2 \, {\left(8 \, F^{a} b^{4} d x \log\left(F\right)^{4} - 15 \, F^{a} b c^{7} \log\left(F\right) - 6 \, F^{a} b^{2} c^{5} \log\left(F\right)^{2} - 4 \, F^{a} b^{3} c^{3} \log\left(F\right)^{3}\right)} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{105 \, {\left(d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}\right)}}\,{d x}"," ",0,"1/105*(15*F^a*d^6*x^7 + 105*F^a*c*d^5*x^6 + 3*(105*F^a*c^2*d^4 + 2*F^a*b*d^4*log(F))*x^5 + 15*(35*F^a*c^3*d^3 + 2*F^a*b*c*d^3*log(F))*x^4 + (525*F^a*c^4*d^2 + 60*F^a*b*c^2*d^2*log(F) + 4*F^a*b^2*d^2*log(F)^2)*x^3 + 3*(105*F^a*c^5*d + 20*F^a*b*c^3*d*log(F) + 4*F^a*b^2*c*d*log(F)^2)*x^2 + (105*F^a*c^6 + 30*F^a*b*c^4*log(F) + 12*F^a*b^2*c^2*log(F)^2 + 8*F^a*b^3*log(F)^3)*x)*F^(b/(d^2*x^2 + 2*c*d*x + c^2)) + integrate(2/105*(8*F^a*b^4*d*x*log(F)^4 - 15*F^a*b*c^7*log(F) - 6*F^a*b^2*c^5*log(F)^2 - 4*F^a*b^3*c^3*log(F)^3)*F^(b/(d^2*x^2 + 2*c*d*x + c^2))/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x)","F",0
330,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^4,x, algorithm=""maxima"")","\frac{1}{15} \, {\left(3 \, F^{a} d^{4} x^{5} + 15 \, F^{a} c d^{3} x^{4} + 2 \, {\left(15 \, F^{a} c^{2} d^{2} + F^{a} b d^{2} \log\left(F\right)\right)} x^{3} + 6 \, {\left(5 \, F^{a} c^{3} d + F^{a} b c d \log\left(F\right)\right)} x^{2} + {\left(15 \, F^{a} c^{4} + 6 \, F^{a} b c^{2} \log\left(F\right) + 4 \, F^{a} b^{2} \log\left(F\right)^{2}\right)} x\right)} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}} + \int \frac{2 \, {\left(4 \, F^{a} b^{3} d x \log\left(F\right)^{3} - 3 \, F^{a} b c^{5} \log\left(F\right) - 2 \, F^{a} b^{2} c^{3} \log\left(F\right)^{2}\right)} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{15 \, {\left(d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}\right)}}\,{d x}"," ",0,"1/15*(3*F^a*d^4*x^5 + 15*F^a*c*d^3*x^4 + 2*(15*F^a*c^2*d^2 + F^a*b*d^2*log(F))*x^3 + 6*(5*F^a*c^3*d + F^a*b*c*d*log(F))*x^2 + (15*F^a*c^4 + 6*F^a*b*c^2*log(F) + 4*F^a*b^2*log(F)^2)*x)*F^(b/(d^2*x^2 + 2*c*d*x + c^2)) + integrate(2/15*(4*F^a*b^3*d*x*log(F)^3 - 3*F^a*b*c^5*log(F) - 2*F^a*b^2*c^3*log(F)^2)*F^(b/(d^2*x^2 + 2*c*d*x + c^2))/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x)","F",0
331,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^2,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(F^{a} d^{2} x^{3} + 3 \, F^{a} c d x^{2} + {\left(3 \, F^{a} c^{2} + 2 \, F^{a} b \log\left(F\right)\right)} x\right)} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}} + \int \frac{2 \, {\left(2 \, F^{a} b^{2} d x \log\left(F\right)^{2} - F^{a} b c^{3} \log\left(F\right)\right)} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{3 \, {\left(d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}\right)}}\,{d x}"," ",0,"1/3*(F^a*d^2*x^3 + 3*F^a*c*d*x^2 + (3*F^a*c^2 + 2*F^a*b*log(F))*x)*F^(b/(d^2*x^2 + 2*c*d*x + c^2)) + integrate(2/3*(2*F^a*b^2*d*x*log(F)^2 - F^a*b*c^3*log(F))*F^(b/(d^2*x^2 + 2*c*d*x + c^2))/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x)","F",0
332,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2),x, algorithm=""maxima"")","2 \, F^{a} b d \int \frac{F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}} x}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\,{d x} \log\left(F\right) + F^{a} F^{\frac{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}} x"," ",0,"2*F^a*b*d*integrate(F^(b/(d^2*x^2 + 2*c*d*x + c^2))*x/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x)*log(F) + F^a*F^(b/(d^2*x^2 + 2*c*d*x + c^2))*x","F",0
333,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^2,x, algorithm=""maxima"")","\int \frac{F^{a + \frac{b}{{\left(d x + c\right)}^{2}}}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c)^2)/(d*x + c)^2, x)","F",0
334,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^4,x, algorithm=""maxima"")","\int \frac{F^{a + \frac{b}{{\left(d x + c\right)}^{2}}}}{{\left(d x + c\right)}^{4}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c)^2)/(d*x + c)^4, x)","F",0
335,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^6,x, algorithm=""maxima"")","\int \frac{F^{a + \frac{b}{{\left(d x + c\right)}^{2}}}}{{\left(d x + c\right)}^{6}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c)^2)/(d*x + c)^6, x)","F",0
336,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^8,x, algorithm=""maxima"")","\int \frac{F^{a + \frac{b}{{\left(d x + c\right)}^{2}}}}{{\left(d x + c\right)}^{8}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c)^2)/(d*x + c)^8, x)","F",0
337,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^10,x, algorithm=""maxima"")","\int \frac{F^{a + \frac{b}{{\left(d x + c\right)}^{2}}}}{{\left(d x + c\right)}^{10}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c)^2)/(d*x + c)^10, x)","F",0
338,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^12,x, algorithm=""maxima"")","\int \frac{F^{a + \frac{b}{{\left(d x + c\right)}^{2}}}}{{\left(d x + c\right)}^{12}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c)^2)/(d*x + c)^12, x)","F",0
339,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^14,x, algorithm=""maxima"")","\int \frac{F^{a + \frac{b}{{\left(d x + c\right)}^{2}}}}{{\left(d x + c\right)}^{14}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c)^2)/(d*x + c)^14, x)","F",0
340,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3)*(d*x+c)^m,x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{m} F^{a + \frac{b}{{\left(d x + c\right)}^{3}}}\,{d x}"," ",0,"integrate((d*x + c)^m*F^(a + b/(d*x + c)^3), x)","F",0
341,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3)*(d*x+c)^14,x, algorithm=""maxima"")","\frac{1}{360} \, {\left(24 \, F^{a} d^{14} x^{15} + 360 \, F^{a} c d^{13} x^{14} + 2520 \, F^{a} c^{2} d^{12} x^{13} + 6 \, {\left(1820 \, F^{a} c^{3} d^{11} + F^{a} b d^{11} \log\left(F\right)\right)} x^{12} + 72 \, {\left(455 \, F^{a} c^{4} d^{10} + F^{a} b c d^{10} \log\left(F\right)\right)} x^{11} + 396 \, {\left(182 \, F^{a} c^{5} d^{9} + F^{a} b c^{2} d^{9} \log\left(F\right)\right)} x^{10} + 2 \, {\left(60060 \, F^{a} c^{6} d^{8} + 660 \, F^{a} b c^{3} d^{8} \log\left(F\right) + F^{a} b^{2} d^{8} \log\left(F\right)^{2}\right)} x^{9} + 18 \, {\left(8580 \, F^{a} c^{7} d^{7} + 165 \, F^{a} b c^{4} d^{7} \log\left(F\right) + F^{a} b^{2} c d^{7} \log\left(F\right)^{2}\right)} x^{8} + 72 \, {\left(2145 \, F^{a} c^{8} d^{6} + 66 \, F^{a} b c^{5} d^{6} \log\left(F\right) + F^{a} b^{2} c^{2} d^{6} \log\left(F\right)^{2}\right)} x^{7} + {\left(120120 \, F^{a} c^{9} d^{5} + 5544 \, F^{a} b c^{6} d^{5} \log\left(F\right) + 168 \, F^{a} b^{2} c^{3} d^{5} \log\left(F\right)^{2} + F^{a} b^{3} d^{5} \log\left(F\right)^{3}\right)} x^{6} + 6 \, {\left(12012 \, F^{a} c^{10} d^{4} + 792 \, F^{a} b c^{7} d^{4} \log\left(F\right) + 42 \, F^{a} b^{2} c^{4} d^{4} \log\left(F\right)^{2} + F^{a} b^{3} c d^{4} \log\left(F\right)^{3}\right)} x^{5} + 3 \, {\left(10920 \, F^{a} c^{11} d^{3} + 990 \, F^{a} b c^{8} d^{3} \log\left(F\right) + 84 \, F^{a} b^{2} c^{5} d^{3} \log\left(F\right)^{2} + 5 \, F^{a} b^{3} c^{2} d^{3} \log\left(F\right)^{3}\right)} x^{4} + {\left(10920 \, F^{a} c^{12} d^{2} + 1320 \, F^{a} b c^{9} d^{2} \log\left(F\right) + 168 \, F^{a} b^{2} c^{6} d^{2} \log\left(F\right)^{2} + 20 \, F^{a} b^{3} c^{3} d^{2} \log\left(F\right)^{3} + F^{a} b^{4} d^{2} \log\left(F\right)^{4}\right)} x^{3} + 3 \, {\left(840 \, F^{a} c^{13} d + 132 \, F^{a} b c^{10} d \log\left(F\right) + 24 \, F^{a} b^{2} c^{7} d \log\left(F\right)^{2} + 5 \, F^{a} b^{3} c^{4} d \log\left(F\right)^{3} + F^{a} b^{4} c d \log\left(F\right)^{4}\right)} x^{2} + 3 \, {\left(120 \, F^{a} c^{14} + 24 \, F^{a} b c^{11} \log\left(F\right) + 6 \, F^{a} b^{2} c^{8} \log\left(F\right)^{2} + 2 \, F^{a} b^{3} c^{5} \log\left(F\right)^{3} + F^{a} b^{4} c^{2} \log\left(F\right)^{4}\right)} x\right)} F^{\frac{b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}} + \int -\frac{{\left(24 \, F^{a} b c^{15} \log\left(F\right) + 6 \, F^{a} b^{2} c^{12} \log\left(F\right)^{2} - F^{a} b^{5} d^{3} x^{3} \log\left(F\right)^{5} + 2 \, F^{a} b^{3} c^{9} \log\left(F\right)^{3} - 3 \, F^{a} b^{5} c d^{2} x^{2} \log\left(F\right)^{5} + F^{a} b^{4} c^{6} \log\left(F\right)^{4} - 3 \, F^{a} b^{5} c^{2} d x \log\left(F\right)^{5}\right)} F^{\frac{b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{120 \, {\left(d^{4} x^{4} + 4 \, c d^{3} x^{3} + 6 \, c^{2} d^{2} x^{2} + 4 \, c^{3} d x + c^{4}\right)}}\,{d x}"," ",0,"1/360*(24*F^a*d^14*x^15 + 360*F^a*c*d^13*x^14 + 2520*F^a*c^2*d^12*x^13 + 6*(1820*F^a*c^3*d^11 + F^a*b*d^11*log(F))*x^12 + 72*(455*F^a*c^4*d^10 + F^a*b*c*d^10*log(F))*x^11 + 396*(182*F^a*c^5*d^9 + F^a*b*c^2*d^9*log(F))*x^10 + 2*(60060*F^a*c^6*d^8 + 660*F^a*b*c^3*d^8*log(F) + F^a*b^2*d^8*log(F)^2)*x^9 + 18*(8580*F^a*c^7*d^7 + 165*F^a*b*c^4*d^7*log(F) + F^a*b^2*c*d^7*log(F)^2)*x^8 + 72*(2145*F^a*c^8*d^6 + 66*F^a*b*c^5*d^6*log(F) + F^a*b^2*c^2*d^6*log(F)^2)*x^7 + (120120*F^a*c^9*d^5 + 5544*F^a*b*c^6*d^5*log(F) + 168*F^a*b^2*c^3*d^5*log(F)^2 + F^a*b^3*d^5*log(F)^3)*x^6 + 6*(12012*F^a*c^10*d^4 + 792*F^a*b*c^7*d^4*log(F) + 42*F^a*b^2*c^4*d^4*log(F)^2 + F^a*b^3*c*d^4*log(F)^3)*x^5 + 3*(10920*F^a*c^11*d^3 + 990*F^a*b*c^8*d^3*log(F) + 84*F^a*b^2*c^5*d^3*log(F)^2 + 5*F^a*b^3*c^2*d^3*log(F)^3)*x^4 + (10920*F^a*c^12*d^2 + 1320*F^a*b*c^9*d^2*log(F) + 168*F^a*b^2*c^6*d^2*log(F)^2 + 20*F^a*b^3*c^3*d^2*log(F)^3 + F^a*b^4*d^2*log(F)^4)*x^3 + 3*(840*F^a*c^13*d + 132*F^a*b*c^10*d*log(F) + 24*F^a*b^2*c^7*d*log(F)^2 + 5*F^a*b^3*c^4*d*log(F)^3 + F^a*b^4*c*d*log(F)^4)*x^2 + 3*(120*F^a*c^14 + 24*F^a*b*c^11*log(F) + 6*F^a*b^2*c^8*log(F)^2 + 2*F^a*b^3*c^5*log(F)^3 + F^a*b^4*c^2*log(F)^4)*x)*F^(b/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)) + integrate(-1/120*(24*F^a*b*c^15*log(F) + 6*F^a*b^2*c^12*log(F)^2 - F^a*b^5*d^3*x^3*log(F)^5 + 2*F^a*b^3*c^9*log(F)^3 - 3*F^a*b^5*c*d^2*x^2*log(F)^5 + F^a*b^4*c^6*log(F)^4 - 3*F^a*b^5*c^2*d*x*log(F)^5)*F^(b/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/(d^4*x^4 + 4*c*d^3*x^3 + 6*c^2*d^2*x^2 + 4*c^3*d*x + c^4), x)","F",0
342,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3)*(d*x+c)^11,x, algorithm=""maxima"")","\frac{1}{72} \, {\left(6 \, F^{a} d^{11} x^{12} + 72 \, F^{a} c d^{10} x^{11} + 396 \, F^{a} c^{2} d^{9} x^{10} + 2 \, {\left(660 \, F^{a} c^{3} d^{8} + F^{a} b d^{8} \log\left(F\right)\right)} x^{9} + 18 \, {\left(165 \, F^{a} c^{4} d^{7} + F^{a} b c d^{7} \log\left(F\right)\right)} x^{8} + 72 \, {\left(66 \, F^{a} c^{5} d^{6} + F^{a} b c^{2} d^{6} \log\left(F\right)\right)} x^{7} + {\left(5544 \, F^{a} c^{6} d^{5} + 168 \, F^{a} b c^{3} d^{5} \log\left(F\right) + F^{a} b^{2} d^{5} \log\left(F\right)^{2}\right)} x^{6} + 6 \, {\left(792 \, F^{a} c^{7} d^{4} + 42 \, F^{a} b c^{4} d^{4} \log\left(F\right) + F^{a} b^{2} c d^{4} \log\left(F\right)^{2}\right)} x^{5} + 3 \, {\left(990 \, F^{a} c^{8} d^{3} + 84 \, F^{a} b c^{5} d^{3} \log\left(F\right) + 5 \, F^{a} b^{2} c^{2} d^{3} \log\left(F\right)^{2}\right)} x^{4} + {\left(1320 \, F^{a} c^{9} d^{2} + 168 \, F^{a} b c^{6} d^{2} \log\left(F\right) + 20 \, F^{a} b^{2} c^{3} d^{2} \log\left(F\right)^{2} + F^{a} b^{3} d^{2} \log\left(F\right)^{3}\right)} x^{3} + 3 \, {\left(132 \, F^{a} c^{10} d + 24 \, F^{a} b c^{7} d \log\left(F\right) + 5 \, F^{a} b^{2} c^{4} d \log\left(F\right)^{2} + F^{a} b^{3} c d \log\left(F\right)^{3}\right)} x^{2} + 3 \, {\left(24 \, F^{a} c^{11} + 6 \, F^{a} b c^{8} \log\left(F\right) + 2 \, F^{a} b^{2} c^{5} \log\left(F\right)^{2} + F^{a} b^{3} c^{2} \log\left(F\right)^{3}\right)} x\right)} F^{\frac{b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}} + \int -\frac{{\left(6 \, F^{a} b c^{12} \log\left(F\right) - F^{a} b^{4} d^{3} x^{3} \log\left(F\right)^{4} + 2 \, F^{a} b^{2} c^{9} \log\left(F\right)^{2} - 3 \, F^{a} b^{4} c d^{2} x^{2} \log\left(F\right)^{4} + F^{a} b^{3} c^{6} \log\left(F\right)^{3} - 3 \, F^{a} b^{4} c^{2} d x \log\left(F\right)^{4}\right)} F^{\frac{b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{24 \, {\left(d^{4} x^{4} + 4 \, c d^{3} x^{3} + 6 \, c^{2} d^{2} x^{2} + 4 \, c^{3} d x + c^{4}\right)}}\,{d x}"," ",0,"1/72*(6*F^a*d^11*x^12 + 72*F^a*c*d^10*x^11 + 396*F^a*c^2*d^9*x^10 + 2*(660*F^a*c^3*d^8 + F^a*b*d^8*log(F))*x^9 + 18*(165*F^a*c^4*d^7 + F^a*b*c*d^7*log(F))*x^8 + 72*(66*F^a*c^5*d^6 + F^a*b*c^2*d^6*log(F))*x^7 + (5544*F^a*c^6*d^5 + 168*F^a*b*c^3*d^5*log(F) + F^a*b^2*d^5*log(F)^2)*x^6 + 6*(792*F^a*c^7*d^4 + 42*F^a*b*c^4*d^4*log(F) + F^a*b^2*c*d^4*log(F)^2)*x^5 + 3*(990*F^a*c^8*d^3 + 84*F^a*b*c^5*d^3*log(F) + 5*F^a*b^2*c^2*d^3*log(F)^2)*x^4 + (1320*F^a*c^9*d^2 + 168*F^a*b*c^6*d^2*log(F) + 20*F^a*b^2*c^3*d^2*log(F)^2 + F^a*b^3*d^2*log(F)^3)*x^3 + 3*(132*F^a*c^10*d + 24*F^a*b*c^7*d*log(F) + 5*F^a*b^2*c^4*d*log(F)^2 + F^a*b^3*c*d*log(F)^3)*x^2 + 3*(24*F^a*c^11 + 6*F^a*b*c^8*log(F) + 2*F^a*b^2*c^5*log(F)^2 + F^a*b^3*c^2*log(F)^3)*x)*F^(b/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)) + integrate(-1/24*(6*F^a*b*c^12*log(F) - F^a*b^4*d^3*x^3*log(F)^4 + 2*F^a*b^2*c^9*log(F)^2 - 3*F^a*b^4*c*d^2*x^2*log(F)^4 + F^a*b^3*c^6*log(F)^3 - 3*F^a*b^4*c^2*d*x*log(F)^4)*F^(b/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/(d^4*x^4 + 4*c*d^3*x^3 + 6*c^2*d^2*x^2 + 4*c^3*d*x + c^4), x)","F",0
343,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3)*(d*x+c)^8,x, algorithm=""maxima"")","\frac{1}{18} \, {\left(2 \, F^{a} d^{8} x^{9} + 18 \, F^{a} c d^{7} x^{8} + 72 \, F^{a} c^{2} d^{6} x^{7} + {\left(168 \, F^{a} c^{3} d^{5} + F^{a} b d^{5} \log\left(F\right)\right)} x^{6} + 6 \, {\left(42 \, F^{a} c^{4} d^{4} + F^{a} b c d^{4} \log\left(F\right)\right)} x^{5} + 3 \, {\left(84 \, F^{a} c^{5} d^{3} + 5 \, F^{a} b c^{2} d^{3} \log\left(F\right)\right)} x^{4} + {\left(168 \, F^{a} c^{6} d^{2} + 20 \, F^{a} b c^{3} d^{2} \log\left(F\right) + F^{a} b^{2} d^{2} \log\left(F\right)^{2}\right)} x^{3} + 3 \, {\left(24 \, F^{a} c^{7} d + 5 \, F^{a} b c^{4} d \log\left(F\right) + F^{a} b^{2} c d \log\left(F\right)^{2}\right)} x^{2} + 3 \, {\left(6 \, F^{a} c^{8} + 2 \, F^{a} b c^{5} \log\left(F\right) + F^{a} b^{2} c^{2} \log\left(F\right)^{2}\right)} x\right)} F^{\frac{b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}} + \int \frac{{\left(F^{a} b^{3} d^{3} x^{3} \log\left(F\right)^{3} - 2 \, F^{a} b c^{9} \log\left(F\right) + 3 \, F^{a} b^{3} c d^{2} x^{2} \log\left(F\right)^{3} - F^{a} b^{2} c^{6} \log\left(F\right)^{2} + 3 \, F^{a} b^{3} c^{2} d x \log\left(F\right)^{3}\right)} F^{\frac{b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{6 \, {\left(d^{4} x^{4} + 4 \, c d^{3} x^{3} + 6 \, c^{2} d^{2} x^{2} + 4 \, c^{3} d x + c^{4}\right)}}\,{d x}"," ",0,"1/18*(2*F^a*d^8*x^9 + 18*F^a*c*d^7*x^8 + 72*F^a*c^2*d^6*x^7 + (168*F^a*c^3*d^5 + F^a*b*d^5*log(F))*x^6 + 6*(42*F^a*c^4*d^4 + F^a*b*c*d^4*log(F))*x^5 + 3*(84*F^a*c^5*d^3 + 5*F^a*b*c^2*d^3*log(F))*x^4 + (168*F^a*c^6*d^2 + 20*F^a*b*c^3*d^2*log(F) + F^a*b^2*d^2*log(F)^2)*x^3 + 3*(24*F^a*c^7*d + 5*F^a*b*c^4*d*log(F) + F^a*b^2*c*d*log(F)^2)*x^2 + 3*(6*F^a*c^8 + 2*F^a*b*c^5*log(F) + F^a*b^2*c^2*log(F)^2)*x)*F^(b/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)) + integrate(1/6*(F^a*b^3*d^3*x^3*log(F)^3 - 2*F^a*b*c^9*log(F) + 3*F^a*b^3*c*d^2*x^2*log(F)^3 - F^a*b^2*c^6*log(F)^2 + 3*F^a*b^3*c^2*d*x*log(F)^3)*F^(b/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/(d^4*x^4 + 4*c*d^3*x^3 + 6*c^2*d^2*x^2 + 4*c^3*d*x + c^4), x)","F",0
344,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3)*(d*x+c)^5,x, algorithm=""maxima"")","\frac{1}{6} \, {\left(F^{a} d^{5} x^{6} + 6 \, F^{a} c d^{4} x^{5} + 15 \, F^{a} c^{2} d^{3} x^{4} + {\left(20 \, F^{a} c^{3} d^{2} + F^{a} b d^{2} \log\left(F\right)\right)} x^{3} + 3 \, {\left(5 \, F^{a} c^{4} d + F^{a} b c d \log\left(F\right)\right)} x^{2} + 3 \, {\left(2 \, F^{a} c^{5} + F^{a} b c^{2} \log\left(F\right)\right)} x\right)} F^{\frac{b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}} + \int \frac{{\left(F^{a} b^{2} d^{3} x^{3} \log\left(F\right)^{2} + 3 \, F^{a} b^{2} c d^{2} x^{2} \log\left(F\right)^{2} - F^{a} b c^{6} \log\left(F\right) + 3 \, F^{a} b^{2} c^{2} d x \log\left(F\right)^{2}\right)} F^{\frac{b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{2 \, {\left(d^{4} x^{4} + 4 \, c d^{3} x^{3} + 6 \, c^{2} d^{2} x^{2} + 4 \, c^{3} d x + c^{4}\right)}}\,{d x}"," ",0,"1/6*(F^a*d^5*x^6 + 6*F^a*c*d^4*x^5 + 15*F^a*c^2*d^3*x^4 + (20*F^a*c^3*d^2 + F^a*b*d^2*log(F))*x^3 + 3*(5*F^a*c^4*d + F^a*b*c*d*log(F))*x^2 + 3*(2*F^a*c^5 + F^a*b*c^2*log(F))*x)*F^(b/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)) + integrate(1/2*(F^a*b^2*d^3*x^3*log(F)^2 + 3*F^a*b^2*c*d^2*x^2*log(F)^2 - F^a*b*c^6*log(F) + 3*F^a*b^2*c^2*d*x*log(F)^2)*F^(b/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/(d^4*x^4 + 4*c*d^3*x^3 + 6*c^2*d^2*x^2 + 4*c^3*d*x + c^4), x)","F",0
345,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3)*(d*x+c)^2,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(F^{a} d^{2} x^{3} + 3 \, F^{a} c d x^{2} + 3 \, F^{a} c^{2} x\right)} F^{\frac{b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}} + \int \frac{{\left(F^{a} b d^{3} x^{3} \log\left(F\right) + 3 \, F^{a} b c d^{2} x^{2} \log\left(F\right) + 3 \, F^{a} b c^{2} d x \log\left(F\right)\right)} F^{\frac{b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{d^{4} x^{4} + 4 \, c d^{3} x^{3} + 6 \, c^{2} d^{2} x^{2} + 4 \, c^{3} d x + c^{4}}\,{d x}"," ",0,"1/3*(F^a*d^2*x^3 + 3*F^a*c*d*x^2 + 3*F^a*c^2*x)*F^(b/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)) + integrate((F^a*b*d^3*x^3*log(F) + 3*F^a*b*c*d^2*x^2*log(F) + 3*F^a*b*c^2*d*x*log(F))*F^(b/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/(d^4*x^4 + 4*c*d^3*x^3 + 6*c^2*d^2*x^2 + 4*c^3*d*x + c^4), x)","F",0
346,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c),x, algorithm=""maxima"")","\int \frac{F^{a + \frac{b}{{\left(d x + c\right)}^{3}}}}{d x + c}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c)^3)/(d*x + c), x)","F",0
347,1,25,0,0.611748," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c)^4,x, algorithm=""maxima"")","-\frac{F^{a + \frac{b}{{\left(d x + c\right)}^{3}}}}{3 \, b d \log\left(F\right)}"," ",0,"-1/3*F^(a + b/(d*x + c)^3)/(b*d*log(F))","A",0
348,1,144,0,0.652507," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c)^7,x, algorithm=""maxima"")","\frac{{\left(F^{a} d^{3} x^{3} + 3 \, F^{a} c d^{2} x^{2} + 3 \, F^{a} c^{2} d x + F^{a} c^{3} - F^{a} b \log\left(F\right)\right)} F^{\frac{b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{3 \, {\left(b^{2} d^{4} x^{3} \log\left(F\right)^{2} + 3 \, b^{2} c d^{3} x^{2} \log\left(F\right)^{2} + 3 \, b^{2} c^{2} d^{2} x \log\left(F\right)^{2} + b^{2} c^{3} d \log\left(F\right)^{2}\right)}}"," ",0,"1/3*(F^a*d^3*x^3 + 3*F^a*c*d^2*x^2 + 3*F^a*c^2*d*x + F^a*c^3 - F^a*b*log(F))*F^(b/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/(b^2*d^4*x^3*log(F)^2 + 3*b^2*c*d^3*x^2*log(F)^2 + 3*b^2*c^2*d^2*x*log(F)^2 + b^2*c^3*d*log(F)^2)","B",0
349,1,300,0,0.888495," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c)^10,x, algorithm=""maxima"")","-\frac{{\left(2 \, F^{a} d^{6} x^{6} + 12 \, F^{a} c d^{5} x^{5} + 30 \, F^{a} c^{2} d^{4} x^{4} + 2 \, F^{a} c^{6} - 2 \, F^{a} b c^{3} \log\left(F\right) + F^{a} b^{2} \log\left(F\right)^{2} + 2 \, {\left(20 \, F^{a} c^{3} d^{3} - F^{a} b d^{3} \log\left(F\right)\right)} x^{3} + 6 \, {\left(5 \, F^{a} c^{4} d^{2} - F^{a} b c d^{2} \log\left(F\right)\right)} x^{2} + 6 \, {\left(2 \, F^{a} c^{5} d - F^{a} b c^{2} d \log\left(F\right)\right)} x\right)} F^{\frac{b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{3 \, {\left(b^{3} d^{7} x^{6} \log\left(F\right)^{3} + 6 \, b^{3} c d^{6} x^{5} \log\left(F\right)^{3} + 15 \, b^{3} c^{2} d^{5} x^{4} \log\left(F\right)^{3} + 20 \, b^{3} c^{3} d^{4} x^{3} \log\left(F\right)^{3} + 15 \, b^{3} c^{4} d^{3} x^{2} \log\left(F\right)^{3} + 6 \, b^{3} c^{5} d^{2} x \log\left(F\right)^{3} + b^{3} c^{6} d \log\left(F\right)^{3}\right)}}"," ",0,"-1/3*(2*F^a*d^6*x^6 + 12*F^a*c*d^5*x^5 + 30*F^a*c^2*d^4*x^4 + 2*F^a*c^6 - 2*F^a*b*c^3*log(F) + F^a*b^2*log(F)^2 + 2*(20*F^a*c^3*d^3 - F^a*b*d^3*log(F))*x^3 + 6*(5*F^a*c^4*d^2 - F^a*b*c*d^2*log(F))*x^2 + 6*(2*F^a*c^5*d - F^a*b*c^2*d*log(F))*x)*F^(b/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/(b^3*d^7*x^6*log(F)^3 + 6*b^3*c*d^6*x^5*log(F)^3 + 15*b^3*c^2*d^5*x^4*log(F)^3 + 20*b^3*c^3*d^4*x^3*log(F)^3 + 15*b^3*c^4*d^3*x^2*log(F)^3 + 6*b^3*c^5*d^2*x*log(F)^3 + b^3*c^6*d*log(F)^3)","B",0
350,1,507,0,0.739553," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c)^13,x, algorithm=""maxima"")","\frac{{\left(6 \, F^{a} d^{9} x^{9} + 54 \, F^{a} c d^{8} x^{8} + 216 \, F^{a} c^{2} d^{7} x^{7} + 6 \, F^{a} c^{9} - 6 \, F^{a} b c^{6} \log\left(F\right) + 3 \, F^{a} b^{2} c^{3} \log\left(F\right)^{2} + 6 \, {\left(84 \, F^{a} c^{3} d^{6} - F^{a} b d^{6} \log\left(F\right)\right)} x^{6} - F^{a} b^{3} \log\left(F\right)^{3} + 36 \, {\left(21 \, F^{a} c^{4} d^{5} - F^{a} b c d^{5} \log\left(F\right)\right)} x^{5} + 18 \, {\left(42 \, F^{a} c^{5} d^{4} - 5 \, F^{a} b c^{2} d^{4} \log\left(F\right)\right)} x^{4} + 3 \, {\left(168 \, F^{a} c^{6} d^{3} - 40 \, F^{a} b c^{3} d^{3} \log\left(F\right) + F^{a} b^{2} d^{3} \log\left(F\right)^{2}\right)} x^{3} + 9 \, {\left(24 \, F^{a} c^{7} d^{2} - 10 \, F^{a} b c^{4} d^{2} \log\left(F\right) + F^{a} b^{2} c d^{2} \log\left(F\right)^{2}\right)} x^{2} + 9 \, {\left(6 \, F^{a} c^{8} d - 4 \, F^{a} b c^{5} d \log\left(F\right) + F^{a} b^{2} c^{2} d \log\left(F\right)^{2}\right)} x\right)} F^{\frac{b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{3 \, {\left(b^{4} d^{10} x^{9} \log\left(F\right)^{4} + 9 \, b^{4} c d^{9} x^{8} \log\left(F\right)^{4} + 36 \, b^{4} c^{2} d^{8} x^{7} \log\left(F\right)^{4} + 84 \, b^{4} c^{3} d^{7} x^{6} \log\left(F\right)^{4} + 126 \, b^{4} c^{4} d^{6} x^{5} \log\left(F\right)^{4} + 126 \, b^{4} c^{5} d^{5} x^{4} \log\left(F\right)^{4} + 84 \, b^{4} c^{6} d^{4} x^{3} \log\left(F\right)^{4} + 36 \, b^{4} c^{7} d^{3} x^{2} \log\left(F\right)^{4} + 9 \, b^{4} c^{8} d^{2} x \log\left(F\right)^{4} + b^{4} c^{9} d \log\left(F\right)^{4}\right)}}"," ",0,"1/3*(6*F^a*d^9*x^9 + 54*F^a*c*d^8*x^8 + 216*F^a*c^2*d^7*x^7 + 6*F^a*c^9 - 6*F^a*b*c^6*log(F) + 3*F^a*b^2*c^3*log(F)^2 + 6*(84*F^a*c^3*d^6 - F^a*b*d^6*log(F))*x^6 - F^a*b^3*log(F)^3 + 36*(21*F^a*c^4*d^5 - F^a*b*c*d^5*log(F))*x^5 + 18*(42*F^a*c^5*d^4 - 5*F^a*b*c^2*d^4*log(F))*x^4 + 3*(168*F^a*c^6*d^3 - 40*F^a*b*c^3*d^3*log(F) + F^a*b^2*d^3*log(F)^2)*x^3 + 9*(24*F^a*c^7*d^2 - 10*F^a*b*c^4*d^2*log(F) + F^a*b^2*c*d^2*log(F)^2)*x^2 + 9*(6*F^a*c^8*d - 4*F^a*b*c^5*d*log(F) + F^a*b^2*c^2*d*log(F)^2)*x)*F^(b/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/(b^4*d^10*x^9*log(F)^4 + 9*b^4*c*d^9*x^8*log(F)^4 + 36*b^4*c^2*d^8*x^7*log(F)^4 + 84*b^4*c^3*d^7*x^6*log(F)^4 + 126*b^4*c^4*d^6*x^5*log(F)^4 + 126*b^4*c^5*d^5*x^4*log(F)^4 + 84*b^4*c^6*d^4*x^3*log(F)^4 + 36*b^4*c^7*d^3*x^2*log(F)^4 + 9*b^4*c^8*d^2*x*log(F)^4 + b^4*c^9*d*log(F)^4)","B",0
351,1,770,0,1.157217," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c)^16,x, algorithm=""maxima"")","-\frac{{\left(24 \, F^{a} d^{12} x^{12} + 288 \, F^{a} c d^{11} x^{11} + 1584 \, F^{a} c^{2} d^{10} x^{10} + 24 \, F^{a} c^{12} - 24 \, F^{a} b c^{9} \log\left(F\right) + 12 \, F^{a} b^{2} c^{6} \log\left(F\right)^{2} + 24 \, {\left(220 \, F^{a} c^{3} d^{9} - F^{a} b d^{9} \log\left(F\right)\right)} x^{9} - 4 \, F^{a} b^{3} c^{3} \log\left(F\right)^{3} + 216 \, {\left(55 \, F^{a} c^{4} d^{8} - F^{a} b c d^{8} \log\left(F\right)\right)} x^{8} + F^{a} b^{4} \log\left(F\right)^{4} + 864 \, {\left(22 \, F^{a} c^{5} d^{7} - F^{a} b c^{2} d^{7} \log\left(F\right)\right)} x^{7} + 12 \, {\left(1848 \, F^{a} c^{6} d^{6} - 168 \, F^{a} b c^{3} d^{6} \log\left(F\right) + F^{a} b^{2} d^{6} \log\left(F\right)^{2}\right)} x^{6} + 72 \, {\left(264 \, F^{a} c^{7} d^{5} - 42 \, F^{a} b c^{4} d^{5} \log\left(F\right) + F^{a} b^{2} c d^{5} \log\left(F\right)^{2}\right)} x^{5} + 36 \, {\left(330 \, F^{a} c^{8} d^{4} - 84 \, F^{a} b c^{5} d^{4} \log\left(F\right) + 5 \, F^{a} b^{2} c^{2} d^{4} \log\left(F\right)^{2}\right)} x^{4} + 4 \, {\left(1320 \, F^{a} c^{9} d^{3} - 504 \, F^{a} b c^{6} d^{3} \log\left(F\right) + 60 \, F^{a} b^{2} c^{3} d^{3} \log\left(F\right)^{2} - F^{a} b^{3} d^{3} \log\left(F\right)^{3}\right)} x^{3} + 12 \, {\left(132 \, F^{a} c^{10} d^{2} - 72 \, F^{a} b c^{7} d^{2} \log\left(F\right) + 15 \, F^{a} b^{2} c^{4} d^{2} \log\left(F\right)^{2} - F^{a} b^{3} c d^{2} \log\left(F\right)^{3}\right)} x^{2} + 12 \, {\left(24 \, F^{a} c^{11} d - 18 \, F^{a} b c^{8} d \log\left(F\right) + 6 \, F^{a} b^{2} c^{5} d \log\left(F\right)^{2} - F^{a} b^{3} c^{2} d \log\left(F\right)^{3}\right)} x\right)} F^{\frac{b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{3 \, {\left(b^{5} d^{13} x^{12} \log\left(F\right)^{5} + 12 \, b^{5} c d^{12} x^{11} \log\left(F\right)^{5} + 66 \, b^{5} c^{2} d^{11} x^{10} \log\left(F\right)^{5} + 220 \, b^{5} c^{3} d^{10} x^{9} \log\left(F\right)^{5} + 495 \, b^{5} c^{4} d^{9} x^{8} \log\left(F\right)^{5} + 792 \, b^{5} c^{5} d^{8} x^{7} \log\left(F\right)^{5} + 924 \, b^{5} c^{6} d^{7} x^{6} \log\left(F\right)^{5} + 792 \, b^{5} c^{7} d^{6} x^{5} \log\left(F\right)^{5} + 495 \, b^{5} c^{8} d^{5} x^{4} \log\left(F\right)^{5} + 220 \, b^{5} c^{9} d^{4} x^{3} \log\left(F\right)^{5} + 66 \, b^{5} c^{10} d^{3} x^{2} \log\left(F\right)^{5} + 12 \, b^{5} c^{11} d^{2} x \log\left(F\right)^{5} + b^{5} c^{12} d \log\left(F\right)^{5}\right)}}"," ",0,"-1/3*(24*F^a*d^12*x^12 + 288*F^a*c*d^11*x^11 + 1584*F^a*c^2*d^10*x^10 + 24*F^a*c^12 - 24*F^a*b*c^9*log(F) + 12*F^a*b^2*c^6*log(F)^2 + 24*(220*F^a*c^3*d^9 - F^a*b*d^9*log(F))*x^9 - 4*F^a*b^3*c^3*log(F)^3 + 216*(55*F^a*c^4*d^8 - F^a*b*c*d^8*log(F))*x^8 + F^a*b^4*log(F)^4 + 864*(22*F^a*c^5*d^7 - F^a*b*c^2*d^7*log(F))*x^7 + 12*(1848*F^a*c^6*d^6 - 168*F^a*b*c^3*d^6*log(F) + F^a*b^2*d^6*log(F)^2)*x^6 + 72*(264*F^a*c^7*d^5 - 42*F^a*b*c^4*d^5*log(F) + F^a*b^2*c*d^5*log(F)^2)*x^5 + 36*(330*F^a*c^8*d^4 - 84*F^a*b*c^5*d^4*log(F) + 5*F^a*b^2*c^2*d^4*log(F)^2)*x^4 + 4*(1320*F^a*c^9*d^3 - 504*F^a*b*c^6*d^3*log(F) + 60*F^a*b^2*c^3*d^3*log(F)^2 - F^a*b^3*d^3*log(F)^3)*x^3 + 12*(132*F^a*c^10*d^2 - 72*F^a*b*c^7*d^2*log(F) + 15*F^a*b^2*c^4*d^2*log(F)^2 - F^a*b^3*c*d^2*log(F)^3)*x^2 + 12*(24*F^a*c^11*d - 18*F^a*b*c^8*d*log(F) + 6*F^a*b^2*c^5*d*log(F)^2 - F^a*b^3*c^2*d*log(F)^3)*x)*F^(b/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/(b^5*d^13*x^12*log(F)^5 + 12*b^5*c*d^12*x^11*log(F)^5 + 66*b^5*c^2*d^11*x^10*log(F)^5 + 220*b^5*c^3*d^10*x^9*log(F)^5 + 495*b^5*c^4*d^9*x^8*log(F)^5 + 792*b^5*c^5*d^8*x^7*log(F)^5 + 924*b^5*c^6*d^7*x^6*log(F)^5 + 792*b^5*c^7*d^6*x^5*log(F)^5 + 495*b^5*c^8*d^5*x^4*log(F)^5 + 220*b^5*c^9*d^4*x^3*log(F)^5 + 66*b^5*c^10*d^3*x^2*log(F)^5 + 12*b^5*c^11*d^2*x*log(F)^5 + b^5*c^12*d*log(F)^5)","B",0
352,1,1085,0,1.335759," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c)^19,x, algorithm=""maxima"")","\frac{{\left(120 \, F^{a} d^{15} x^{15} + 1800 \, F^{a} c d^{14} x^{14} + 12600 \, F^{a} c^{2} d^{13} x^{13} + 120 \, F^{a} c^{15} - 120 \, F^{a} b c^{12} \log\left(F\right) + 60 \, F^{a} b^{2} c^{9} \log\left(F\right)^{2} + 120 \, {\left(455 \, F^{a} c^{3} d^{12} - F^{a} b d^{12} \log\left(F\right)\right)} x^{12} - 20 \, F^{a} b^{3} c^{6} \log\left(F\right)^{3} + 360 \, {\left(455 \, F^{a} c^{4} d^{11} - 4 \, F^{a} b c d^{11} \log\left(F\right)\right)} x^{11} + 5 \, F^{a} b^{4} c^{3} \log\left(F\right)^{4} + 3960 \, {\left(91 \, F^{a} c^{5} d^{10} - 2 \, F^{a} b c^{2} d^{10} \log\left(F\right)\right)} x^{10} - F^{a} b^{5} \log\left(F\right)^{5} + 60 \, {\left(10010 \, F^{a} c^{6} d^{9} - 440 \, F^{a} b c^{3} d^{9} \log\left(F\right) + F^{a} b^{2} d^{9} \log\left(F\right)^{2}\right)} x^{9} + 540 \, {\left(1430 \, F^{a} c^{7} d^{8} - 110 \, F^{a} b c^{4} d^{8} \log\left(F\right) + F^{a} b^{2} c d^{8} \log\left(F\right)^{2}\right)} x^{8} + 1080 \, {\left(715 \, F^{a} c^{8} d^{7} - 88 \, F^{a} b c^{5} d^{7} \log\left(F\right) + 2 \, F^{a} b^{2} c^{2} d^{7} \log\left(F\right)^{2}\right)} x^{7} + 20 \, {\left(30030 \, F^{a} c^{9} d^{6} - 5544 \, F^{a} b c^{6} d^{6} \log\left(F\right) + 252 \, F^{a} b^{2} c^{3} d^{6} \log\left(F\right)^{2} - F^{a} b^{3} d^{6} \log\left(F\right)^{3}\right)} x^{6} + 120 \, {\left(3003 \, F^{a} c^{10} d^{5} - 792 \, F^{a} b c^{7} d^{5} \log\left(F\right) + 63 \, F^{a} b^{2} c^{4} d^{5} \log\left(F\right)^{2} - F^{a} b^{3} c d^{5} \log\left(F\right)^{3}\right)} x^{5} + 60 \, {\left(2730 \, F^{a} c^{11} d^{4} - 990 \, F^{a} b c^{8} d^{4} \log\left(F\right) + 126 \, F^{a} b^{2} c^{5} d^{4} \log\left(F\right)^{2} - 5 \, F^{a} b^{3} c^{2} d^{4} \log\left(F\right)^{3}\right)} x^{4} + 5 \, {\left(10920 \, F^{a} c^{12} d^{3} - 5280 \, F^{a} b c^{9} d^{3} \log\left(F\right) + 1008 \, F^{a} b^{2} c^{6} d^{3} \log\left(F\right)^{2} - 80 \, F^{a} b^{3} c^{3} d^{3} \log\left(F\right)^{3} + F^{a} b^{4} d^{3} \log\left(F\right)^{4}\right)} x^{3} + 15 \, {\left(840 \, F^{a} c^{13} d^{2} - 528 \, F^{a} b c^{10} d^{2} \log\left(F\right) + 144 \, F^{a} b^{2} c^{7} d^{2} \log\left(F\right)^{2} - 20 \, F^{a} b^{3} c^{4} d^{2} \log\left(F\right)^{3} + F^{a} b^{4} c d^{2} \log\left(F\right)^{4}\right)} x^{2} + 15 \, {\left(120 \, F^{a} c^{14} d - 96 \, F^{a} b c^{11} d \log\left(F\right) + 36 \, F^{a} b^{2} c^{8} d \log\left(F\right)^{2} - 8 \, F^{a} b^{3} c^{5} d \log\left(F\right)^{3} + F^{a} b^{4} c^{2} d \log\left(F\right)^{4}\right)} x\right)} F^{\frac{b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{3 \, {\left(b^{6} d^{16} x^{15} \log\left(F\right)^{6} + 15 \, b^{6} c d^{15} x^{14} \log\left(F\right)^{6} + 105 \, b^{6} c^{2} d^{14} x^{13} \log\left(F\right)^{6} + 455 \, b^{6} c^{3} d^{13} x^{12} \log\left(F\right)^{6} + 1365 \, b^{6} c^{4} d^{12} x^{11} \log\left(F\right)^{6} + 3003 \, b^{6} c^{5} d^{11} x^{10} \log\left(F\right)^{6} + 5005 \, b^{6} c^{6} d^{10} x^{9} \log\left(F\right)^{6} + 6435 \, b^{6} c^{7} d^{9} x^{8} \log\left(F\right)^{6} + 6435 \, b^{6} c^{8} d^{8} x^{7} \log\left(F\right)^{6} + 5005 \, b^{6} c^{9} d^{7} x^{6} \log\left(F\right)^{6} + 3003 \, b^{6} c^{10} d^{6} x^{5} \log\left(F\right)^{6} + 1365 \, b^{6} c^{11} d^{5} x^{4} \log\left(F\right)^{6} + 455 \, b^{6} c^{12} d^{4} x^{3} \log\left(F\right)^{6} + 105 \, b^{6} c^{13} d^{3} x^{2} \log\left(F\right)^{6} + 15 \, b^{6} c^{14} d^{2} x \log\left(F\right)^{6} + b^{6} c^{15} d \log\left(F\right)^{6}\right)}}"," ",0,"1/3*(120*F^a*d^15*x^15 + 1800*F^a*c*d^14*x^14 + 12600*F^a*c^2*d^13*x^13 + 120*F^a*c^15 - 120*F^a*b*c^12*log(F) + 60*F^a*b^2*c^9*log(F)^2 + 120*(455*F^a*c^3*d^12 - F^a*b*d^12*log(F))*x^12 - 20*F^a*b^3*c^6*log(F)^3 + 360*(455*F^a*c^4*d^11 - 4*F^a*b*c*d^11*log(F))*x^11 + 5*F^a*b^4*c^3*log(F)^4 + 3960*(91*F^a*c^5*d^10 - 2*F^a*b*c^2*d^10*log(F))*x^10 - F^a*b^5*log(F)^5 + 60*(10010*F^a*c^6*d^9 - 440*F^a*b*c^3*d^9*log(F) + F^a*b^2*d^9*log(F)^2)*x^9 + 540*(1430*F^a*c^7*d^8 - 110*F^a*b*c^4*d^8*log(F) + F^a*b^2*c*d^8*log(F)^2)*x^8 + 1080*(715*F^a*c^8*d^7 - 88*F^a*b*c^5*d^7*log(F) + 2*F^a*b^2*c^2*d^7*log(F)^2)*x^7 + 20*(30030*F^a*c^9*d^6 - 5544*F^a*b*c^6*d^6*log(F) + 252*F^a*b^2*c^3*d^6*log(F)^2 - F^a*b^3*d^6*log(F)^3)*x^6 + 120*(3003*F^a*c^10*d^5 - 792*F^a*b*c^7*d^5*log(F) + 63*F^a*b^2*c^4*d^5*log(F)^2 - F^a*b^3*c*d^5*log(F)^3)*x^5 + 60*(2730*F^a*c^11*d^4 - 990*F^a*b*c^8*d^4*log(F) + 126*F^a*b^2*c^5*d^4*log(F)^2 - 5*F^a*b^3*c^2*d^4*log(F)^3)*x^4 + 5*(10920*F^a*c^12*d^3 - 5280*F^a*b*c^9*d^3*log(F) + 1008*F^a*b^2*c^6*d^3*log(F)^2 - 80*F^a*b^3*c^3*d^3*log(F)^3 + F^a*b^4*d^3*log(F)^4)*x^3 + 15*(840*F^a*c^13*d^2 - 528*F^a*b*c^10*d^2*log(F) + 144*F^a*b^2*c^7*d^2*log(F)^2 - 20*F^a*b^3*c^4*d^2*log(F)^3 + F^a*b^4*c*d^2*log(F)^4)*x^2 + 15*(120*F^a*c^14*d - 96*F^a*b*c^11*d*log(F) + 36*F^a*b^2*c^8*d*log(F)^2 - 8*F^a*b^3*c^5*d*log(F)^3 + F^a*b^4*c^2*d*log(F)^4)*x)*F^(b/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/(b^6*d^16*x^15*log(F)^6 + 15*b^6*c*d^15*x^14*log(F)^6 + 105*b^6*c^2*d^14*x^13*log(F)^6 + 455*b^6*c^3*d^13*x^12*log(F)^6 + 1365*b^6*c^4*d^12*x^11*log(F)^6 + 3003*b^6*c^5*d^11*x^10*log(F)^6 + 5005*b^6*c^6*d^10*x^9*log(F)^6 + 6435*b^6*c^7*d^9*x^8*log(F)^6 + 6435*b^6*c^8*d^8*x^7*log(F)^6 + 5005*b^6*c^9*d^7*x^6*log(F)^6 + 3003*b^6*c^10*d^6*x^5*log(F)^6 + 1365*b^6*c^11*d^5*x^4*log(F)^6 + 455*b^6*c^12*d^4*x^3*log(F)^6 + 105*b^6*c^13*d^3*x^2*log(F)^6 + 15*b^6*c^14*d^2*x*log(F)^6 + b^6*c^15*d*log(F)^6)","B",0
353,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3)*(d*x+c)^3,x, algorithm=""maxima"")","\frac{1}{4} \, {\left(F^{a} d^{3} x^{4} + 4 \, F^{a} c d^{2} x^{3} + 6 \, F^{a} c^{2} d x^{2} + {\left(4 \, F^{a} c^{3} + 3 \, F^{a} b \log\left(F\right)\right)} x\right)} F^{\frac{b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}} + \int -\frac{3 \, {\left(F^{a} b c^{4} \log\left(F\right) - 3 \, F^{a} b^{2} d x \log\left(F\right)^{2}\right)} F^{\frac{b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{4 \, {\left(d^{4} x^{4} + 4 \, c d^{3} x^{3} + 6 \, c^{2} d^{2} x^{2} + 4 \, c^{3} d x + c^{4}\right)}}\,{d x}"," ",0,"1/4*(F^a*d^3*x^4 + 4*F^a*c*d^2*x^3 + 6*F^a*c^2*d*x^2 + (4*F^a*c^3 + 3*F^a*b*log(F))*x)*F^(b/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)) + integrate(-3/4*(F^a*b*c^4*log(F) - 3*F^a*b^2*d*x*log(F)^2)*F^(b/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/(d^4*x^4 + 4*c*d^3*x^3 + 6*c^2*d^2*x^2 + 4*c^3*d*x + c^4), x)","F",0
354,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3)*(d*x+c),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(F^{a} d x^{2} + 2 \, F^{a} c x\right)} F^{\frac{b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}} + \int \frac{3 \, {\left(F^{a} b d^{2} x^{2} \log\left(F\right) + 2 \, F^{a} b c d x \log\left(F\right)\right)} F^{\frac{b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{2 \, {\left(d^{4} x^{4} + 4 \, c d^{3} x^{3} + 6 \, c^{2} d^{2} x^{2} + 4 \, c^{3} d x + c^{4}\right)}}\,{d x}"," ",0,"1/2*(F^a*d*x^2 + 2*F^a*c*x)*F^(b/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)) + integrate(3/2*(F^a*b*d^2*x^2*log(F) + 2*F^a*b*c*d*x*log(F))*F^(b/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/(d^4*x^4 + 4*c*d^3*x^3 + 6*c^2*d^2*x^2 + 4*c^3*d*x + c^4), x)","F",0
355,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3),x, algorithm=""maxima"")","3 \, F^{a} b d \int \frac{F^{\frac{b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}} x}{d^{4} x^{4} + 4 \, c d^{3} x^{3} + 6 \, c^{2} d^{2} x^{2} + 4 \, c^{3} d x + c^{4}}\,{d x} \log\left(F\right) + F^{a} F^{\frac{b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}} x"," ",0,"3*F^a*b*d*integrate(F^(b/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))*x/(d^4*x^4 + 4*c*d^3*x^3 + 6*c^2*d^2*x^2 + 4*c^3*d*x + c^4), x)*log(F) + F^a*F^(b/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))*x","F",0
356,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c)^2,x, algorithm=""maxima"")","\int \frac{F^{a + \frac{b}{{\left(d x + c\right)}^{3}}}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c)^3)/(d*x + c)^2, x)","F",0
357,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c)^3,x, algorithm=""maxima"")","\int \frac{F^{a + \frac{b}{{\left(d x + c\right)}^{3}}}}{{\left(d x + c\right)}^{3}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c)^3)/(d*x + c)^3, x)","F",0
358,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c)^5,x, algorithm=""maxima"")","\int \frac{F^{a + \frac{b}{{\left(d x + c\right)}^{3}}}}{{\left(d x + c\right)}^{5}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c)^3)/(d*x + c)^5, x)","F",0
359,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^m,x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{m} F^{{\left(d x + c\right)}^{n} b + a}\,{d x}"," ",0,"integrate((d*x + c)^m*F^((d*x + c)^n*b + a), x)","F",0
360,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^3,x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{3} F^{{\left(d x + c\right)}^{n} b + a}\,{d x}"," ",0,"integrate((d*x + c)^3*F^((d*x + c)^n*b + a), x)","F",0
361,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^2,x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{2} F^{{\left(d x + c\right)}^{n} b + a}\,{d x}"," ",0,"integrate((d*x + c)^2*F^((d*x + c)^n*b + a), x)","F",0
362,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c),x, algorithm=""maxima"")","\int {\left(d x + c\right)} F^{{\left(d x + c\right)}^{n} b + a}\,{d x}"," ",0,"integrate((d*x + c)*F^((d*x + c)^n*b + a), x)","F",0
363,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^n),x, algorithm=""maxima"")","\int F^{{\left(d x + c\right)}^{n} b + a}\,{d x}"," ",0,"integrate(F^((d*x + c)^n*b + a), x)","F",0
364,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^n)/(d*x+c),x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{n} b + a}}{d x + c}\,{d x}"," ",0,"integrate(F^((d*x + c)^n*b + a)/(d*x + c), x)","F",0
365,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^n)/(d*x+c)^2,x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{n} b + a}}{{\left(d x + c\right)}^{2}}\,{d x}"," ",0,"integrate(F^((d*x + c)^n*b + a)/(d*x + c)^2, x)","F",0
366,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^n)/(d*x+c)^3,x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{n} b + a}}{{\left(d x + c\right)}^{3}}\,{d x}"," ",0,"integrate(F^((d*x + c)^n*b + a)/(d*x + c)^3, x)","F",0
367,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^n)/(d*x+c)^4,x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{n} b + a}}{{\left(d x + c\right)}^{4}}\,{d x}"," ",0,"integrate(F^((d*x + c)^n*b + a)/(d*x + c)^4, x)","F",0
368,1,129,0,1.046394," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1+6*n),x, algorithm=""maxima"")","\frac{{\left({\left(d x + c\right)}^{5 \, n} F^{a} b^{5} \log\left(F\right)^{5} - 5 \, {\left(d x + c\right)}^{4 \, n} F^{a} b^{4} \log\left(F\right)^{4} + 20 \, {\left(d x + c\right)}^{3 \, n} F^{a} b^{3} \log\left(F\right)^{3} - 60 \, {\left(d x + c\right)}^{2 \, n} F^{a} b^{2} \log\left(F\right)^{2} + 120 \, {\left(d x + c\right)}^{n} F^{a} b \log\left(F\right) - 120 \, F^{a}\right)} F^{{\left(d x + c\right)}^{n} b}}{b^{6} d n \log\left(F\right)^{6}}"," ",0,"((d*x + c)^(5*n)*F^a*b^5*log(F)^5 - 5*(d*x + c)^(4*n)*F^a*b^4*log(F)^4 + 20*(d*x + c)^(3*n)*F^a*b^3*log(F)^3 - 60*(d*x + c)^(2*n)*F^a*b^2*log(F)^2 + 120*(d*x + c)^n*F^a*b*log(F) - 120*F^a)*F^((d*x + c)^n*b)/(b^6*d*n*log(F)^6)","A",0
369,1,108,0,1.018687," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1+5*n),x, algorithm=""maxima"")","\frac{{\left({\left(d x + c\right)}^{4 \, n} F^{a} b^{4} \log\left(F\right)^{4} - 4 \, {\left(d x + c\right)}^{3 \, n} F^{a} b^{3} \log\left(F\right)^{3} + 12 \, {\left(d x + c\right)}^{2 \, n} F^{a} b^{2} \log\left(F\right)^{2} - 24 \, {\left(d x + c\right)}^{n} F^{a} b \log\left(F\right) + 24 \, F^{a}\right)} F^{{\left(d x + c\right)}^{n} b}}{b^{5} d n \log\left(F\right)^{5}}"," ",0,"((d*x + c)^(4*n)*F^a*b^4*log(F)^4 - 4*(d*x + c)^(3*n)*F^a*b^3*log(F)^3 + 12*(d*x + c)^(2*n)*F^a*b^2*log(F)^2 - 24*(d*x + c)^n*F^a*b*log(F) + 24*F^a)*F^((d*x + c)^n*b)/(b^5*d*n*log(F)^5)","A",0
370,1,87,0,1.023038," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1+4*n),x, algorithm=""maxima"")","\frac{{\left({\left(d x + c\right)}^{3 \, n} F^{a} b^{3} \log\left(F\right)^{3} - 3 \, {\left(d x + c\right)}^{2 \, n} F^{a} b^{2} \log\left(F\right)^{2} + 6 \, {\left(d x + c\right)}^{n} F^{a} b \log\left(F\right) - 6 \, F^{a}\right)} F^{{\left(d x + c\right)}^{n} b}}{b^{4} d n \log\left(F\right)^{4}}"," ",0,"((d*x + c)^(3*n)*F^a*b^3*log(F)^3 - 3*(d*x + c)^(2*n)*F^a*b^2*log(F)^2 + 6*(d*x + c)^n*F^a*b*log(F) - 6*F^a)*F^((d*x + c)^n*b)/(b^4*d*n*log(F)^4)","A",0
371,1,66,0,1.021607," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1+3*n),x, algorithm=""maxima"")","\frac{{\left({\left(d x + c\right)}^{2 \, n} F^{a} b^{2} \log\left(F\right)^{2} - 2 \, {\left(d x + c\right)}^{n} F^{a} b \log\left(F\right) + 2 \, F^{a}\right)} F^{{\left(d x + c\right)}^{n} b}}{b^{3} d n \log\left(F\right)^{3}}"," ",0,"((d*x + c)^(2*n)*F^a*b^2*log(F)^2 - 2*(d*x + c)^n*F^a*b*log(F) + 2*F^a)*F^((d*x + c)^n*b)/(b^3*d*n*log(F)^3)","A",0
372,1,45,0,1.006851," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1+2*n),x, algorithm=""maxima"")","\frac{{\left({\left(d x + c\right)}^{n} F^{a} b \log\left(F\right) - F^{a}\right)} F^{{\left(d x + c\right)}^{n} b}}{b^{2} d n \log\left(F\right)^{2}}"," ",0,"((d*x + c)^n*F^a*b*log(F) - F^a)*F^((d*x + c)^n*b)/(b^2*d*n*log(F)^2)","A",0
373,1,27,0,0.902957," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1+n),x, algorithm=""maxima"")","\frac{F^{{\left(d x + c\right)}^{n} b + a}}{b d n \log\left(F\right)}"," ",0,"F^((d*x + c)^n*b + a)/(b*d*n*log(F))","A",0
374,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^n)/(d*x+c),x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{n} b + a}}{d x + c}\,{d x}"," ",0,"integrate(F^((d*x + c)^n*b + a)/(d*x + c), x)","F",0
375,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1-n),x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{-n - 1} F^{{\left(d x + c\right)}^{n} b + a}\,{d x}"," ",0,"integrate((d*x + c)^(-n - 1)*F^((d*x + c)^n*b + a), x)","F",0
376,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1-2*n),x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{-2 \, n - 1} F^{{\left(d x + c\right)}^{n} b + a}\,{d x}"," ",0,"integrate((d*x + c)^(-2*n - 1)*F^((d*x + c)^n*b + a), x)","F",0
377,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1-3*n),x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{-3 \, n - 1} F^{{\left(d x + c\right)}^{n} b + a}\,{d x}"," ",0,"integrate((d*x + c)^(-3*n - 1)*F^((d*x + c)^n*b + a), x)","F",0
378,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1-4*n),x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{-4 \, n - 1} F^{{\left(d x + c\right)}^{n} b + a}\,{d x}"," ",0,"integrate((d*x + c)^(-4*n - 1)*F^((d*x + c)^n*b + a), x)","F",0
379,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1-5*n),x, algorithm=""maxima"")","\int {\left(d x + c\right)}^{-5 \, n - 1} F^{{\left(d x + c\right)}^{n} b + a}\,{d x}"," ",0,"integrate((d*x + c)^(-5*n - 1)*F^((d*x + c)^n*b + a), x)","F",0
380,0,0,0,0.000000," ","integrate(F^(c*(b*x+a)^n)*(b*x+a)^(-1+1/2*n),x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{\frac{1}{2} \, n - 1} F^{{\left(b x + a\right)}^{n} c}\,{d x}"," ",0,"integrate((b*x + a)^(1/2*n - 1)*F^((b*x + a)^n*c), x)","F",0
381,0,0,0,0.000000," ","integrate((b*x+a)^(-1+1/2*n)/(F^(c*(b*x+a)^n)),x, algorithm=""maxima"")","\int \frac{{\left(b x + a\right)}^{\frac{1}{2} \, n - 1}}{F^{{\left(b x + a\right)}^{n} c}}\,{d x}"," ",0,"integrate((b*x + a)^(1/2*n - 1)/F^((b*x + a)^n*c), x)","F",0
382,1,1456,0,5.376518," ","integrate(F^(a+b*(d*x+c)^2)*(f*x+e)^5,x, algorithm=""maxima"")","-\frac{5 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b c {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d^{2} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b \log\left(F\right)}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d}\right)} F^{a} e^{4} f}{2 \, \sqrt{b \log\left(F\right)} d} + \frac{5 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{2} c^{2} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{3} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{2 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{2} c \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{2}} - \frac{{\left(b d^{2} x + b c d\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{5} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}}\right)} F^{a} e^{3} f^{2}}{\sqrt{b \log\left(F\right)} d} - \frac{5 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{3} c^{3} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{4} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{3 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{3} c^{2} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}} - \frac{3 \, {\left(b d^{2} x + b c d\right)}^{3} b c \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{6} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{b^{2} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}}\right)} F^{a} e^{2} f^{3}}{\sqrt{b \log\left(F\right)} d} + \frac{5 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{4} c^{4} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{5} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{4 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{4} c^{3} \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{4}} - \frac{6 \, {\left(b d^{2} x + b c d\right)}^{3} b^{2} c^{2} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{7} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{4 \, b^{3} c \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{4}} - \frac{{\left(b d^{2} x + b c d\right)}^{5} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{9} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}}\right)} F^{a} e f^{4}}{2 \, \sqrt{b \log\left(F\right)} d} - \frac{{\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{5} c^{5} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{6} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{5 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{5} c^{4} \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{10 \, {\left(b d^{2} x + b c d\right)}^{3} b^{3} c^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{8} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{10 \, b^{4} c^{2} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{b^{3} \Gamma\left(3, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{5}} - \frac{5 \, {\left(b d^{2} x + b c d\right)}^{5} b c \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{6}}{\left(b \log\left(F\right)\right)^{\frac{11}{2}} d^{10} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}}\right)} F^{a} f^{5}}{2 \, \sqrt{b \log\left(F\right)} d} + \frac{\sqrt{\pi} F^{b c^{2} + a} e^{5} \operatorname{erf}\left(\sqrt{-b \log\left(F\right)} d x - \frac{b c \log\left(F\right)}{\sqrt{-b \log\left(F\right)}}\right)}{2 \, \sqrt{-b \log\left(F\right)} F^{b c^{2}} d}"," ",0,"-5/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b*c*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^2/((b*log(F))^(3/2)*d^2*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - F^((b*d^2*x + b*c*d)^2/(b*d^2))*b*log(F)/((b*log(F))^(3/2)*d))*F^a*e^4*f/(sqrt(b*log(F))*d) + 5*(sqrt(pi)*(b*d^2*x + b*c*d)*b^2*c^2*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^3/((b*log(F))^(5/2)*d^3*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 2*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^2*c*log(F)^2/((b*log(F))^(5/2)*d^2) - (b*d^2*x + b*c*d)^3*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(5/2)*d^5*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)))*F^a*e^3*f^2/(sqrt(b*log(F))*d) - 5*(sqrt(pi)*(b*d^2*x + b*c*d)*b^3*c^3*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^4/((b*log(F))^(7/2)*d^4*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 3*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^3*c^2*log(F)^3/((b*log(F))^(7/2)*d^3) - 3*(b*d^2*x + b*c*d)^3*b*c*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(7/2)*d^6*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + b^2*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^2/((b*log(F))^(7/2)*d^3))*F^a*e^2*f^3/(sqrt(b*log(F))*d) + 5/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^4*c^4*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^5/((b*log(F))^(9/2)*d^5*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 4*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^4*c^3*log(F)^4/((b*log(F))^(9/2)*d^4) - 6*(b*d^2*x + b*c*d)^3*b^2*c^2*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(9/2)*d^7*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 4*b^3*c*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(9/2)*d^4) - (b*d^2*x + b*c*d)^5*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(9/2)*d^9*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)))*F^a*e*f^4/(sqrt(b*log(F))*d) - 1/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^5*c^5*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^6/((b*log(F))^(11/2)*d^6*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 5*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^5*c^4*log(F)^5/((b*log(F))^(11/2)*d^5) - 10*(b*d^2*x + b*c*d)^3*b^3*c^3*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(11/2)*d^8*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 10*b^4*c^2*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(11/2)*d^5) - b^3*gamma(3, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(11/2)*d^5) - 5*(b*d^2*x + b*c*d)^5*b*c*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^6/((b*log(F))^(11/2)*d^10*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)))*F^a*f^5/(sqrt(b*log(F))*d) + 1/2*sqrt(pi)*F^(b*c^2 + a)*e^5*erf(sqrt(-b*log(F))*d*x - b*c*log(F)/sqrt(-b*log(F)))/(sqrt(-b*log(F))*F^(b*c^2)*d)","B",0
383,1,1052,0,4.307666," ","integrate(F^(a+b*(d*x+c)^2)*(f*x+e)^4,x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b c {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d^{2} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b \log\left(F\right)}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d}\right)} F^{a} e^{3} f}{\sqrt{b \log\left(F\right)} d} + \frac{3 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{2} c^{2} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{3} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{2 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{2} c \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{2}} - \frac{{\left(b d^{2} x + b c d\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{5} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}}\right)} F^{a} e^{2} f^{2}}{\sqrt{b \log\left(F\right)} d} - \frac{2 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{3} c^{3} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{4} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{3 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{3} c^{2} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}} - \frac{3 \, {\left(b d^{2} x + b c d\right)}^{3} b c \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{6} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{b^{2} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}}\right)} F^{a} e f^{3}}{\sqrt{b \log\left(F\right)} d} + \frac{{\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{4} c^{4} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{5} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{4 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{4} c^{3} \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{4}} - \frac{6 \, {\left(b d^{2} x + b c d\right)}^{3} b^{2} c^{2} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{7} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{4 \, b^{3} c \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{4}} - \frac{{\left(b d^{2} x + b c d\right)}^{5} \Gamma\left(\frac{5}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{5}}{\left(b \log\left(F\right)\right)^{\frac{9}{2}} d^{9} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{5}{2}}}\right)} F^{a} f^{4}}{2 \, \sqrt{b \log\left(F\right)} d} + \frac{\sqrt{\pi} F^{b c^{2} + a} e^{4} \operatorname{erf}\left(\sqrt{-b \log\left(F\right)} d x - \frac{b c \log\left(F\right)}{\sqrt{-b \log\left(F\right)}}\right)}{2 \, \sqrt{-b \log\left(F\right)} F^{b c^{2}} d}"," ",0,"-2*(sqrt(pi)*(b*d^2*x + b*c*d)*b*c*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^2/((b*log(F))^(3/2)*d^2*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - F^((b*d^2*x + b*c*d)^2/(b*d^2))*b*log(F)/((b*log(F))^(3/2)*d))*F^a*e^3*f/(sqrt(b*log(F))*d) + 3*(sqrt(pi)*(b*d^2*x + b*c*d)*b^2*c^2*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^3/((b*log(F))^(5/2)*d^3*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 2*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^2*c*log(F)^2/((b*log(F))^(5/2)*d^2) - (b*d^2*x + b*c*d)^3*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(5/2)*d^5*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)))*F^a*e^2*f^2/(sqrt(b*log(F))*d) - 2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^3*c^3*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^4/((b*log(F))^(7/2)*d^4*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 3*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^3*c^2*log(F)^3/((b*log(F))^(7/2)*d^3) - 3*(b*d^2*x + b*c*d)^3*b*c*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(7/2)*d^6*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + b^2*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^2/((b*log(F))^(7/2)*d^3))*F^a*e*f^3/(sqrt(b*log(F))*d) + 1/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^4*c^4*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^5/((b*log(F))^(9/2)*d^5*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 4*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^4*c^3*log(F)^4/((b*log(F))^(9/2)*d^4) - 6*(b*d^2*x + b*c*d)^3*b^2*c^2*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(9/2)*d^7*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + 4*b^3*c*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(9/2)*d^4) - (b*d^2*x + b*c*d)^5*gamma(5/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^5/((b*log(F))^(9/2)*d^9*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(5/2)))*F^a*f^4/(sqrt(b*log(F))*d) + 1/2*sqrt(pi)*F^(b*c^2 + a)*e^4*erf(sqrt(-b*log(F))*d*x - b*c*log(F)/sqrt(-b*log(F)))/(sqrt(-b*log(F))*F^(b*c^2)*d)","B",0
384,1,695,0,3.275339," ","integrate(F^(a+b*(d*x+c)^2)*(f*x+e)^3,x, algorithm=""maxima"")","-\frac{3 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b c {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d^{2} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b \log\left(F\right)}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d}\right)} F^{a} e^{2} f}{2 \, \sqrt{b \log\left(F\right)} d} + \frac{3 \, {\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{2} c^{2} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{3} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{2 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{2} c \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{2}} - \frac{{\left(b d^{2} x + b c d\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{5} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}}\right)} F^{a} e f^{2}}{2 \, \sqrt{b \log\left(F\right)} d} - \frac{{\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{3} c^{3} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{4} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{3 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{3} c^{2} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}} - \frac{3 \, {\left(b d^{2} x + b c d\right)}^{3} b c \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{4}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{6} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}} + \frac{b^{2} \Gamma\left(2, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{7}{2}} d^{3}}\right)} F^{a} f^{3}}{2 \, \sqrt{b \log\left(F\right)} d} + \frac{\sqrt{\pi} F^{b c^{2} + a} e^{3} \operatorname{erf}\left(\sqrt{-b \log\left(F\right)} d x - \frac{b c \log\left(F\right)}{\sqrt{-b \log\left(F\right)}}\right)}{2 \, \sqrt{-b \log\left(F\right)} F^{b c^{2}} d}"," ",0,"-3/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b*c*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^2/((b*log(F))^(3/2)*d^2*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - F^((b*d^2*x + b*c*d)^2/(b*d^2))*b*log(F)/((b*log(F))^(3/2)*d))*F^a*e^2*f/(sqrt(b*log(F))*d) + 3/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^2*c^2*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^3/((b*log(F))^(5/2)*d^3*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 2*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^2*c*log(F)^2/((b*log(F))^(5/2)*d^2) - (b*d^2*x + b*c*d)^3*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(5/2)*d^5*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)))*F^a*e*f^2/(sqrt(b*log(F))*d) - 1/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^3*c^3*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^4/((b*log(F))^(7/2)*d^4*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 3*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^3*c^2*log(F)^3/((b*log(F))^(7/2)*d^3) - 3*(b*d^2*x + b*c*d)^3*b*c*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^4/((b*log(F))^(7/2)*d^6*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)) + b^2*gamma(2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^2/((b*log(F))^(7/2)*d^3))*F^a*f^3/(sqrt(b*log(F))*d) + 1/2*sqrt(pi)*F^(b*c^2 + a)*e^3*erf(sqrt(-b*log(F))*d*x - b*c*log(F)/sqrt(-b*log(F)))/(sqrt(-b*log(F))*F^(b*c^2)*d)","B",0
385,1,422,0,2.438885," ","integrate(F^(a+b*(d*x+c)^2)*(f*x+e)^2,x, algorithm=""maxima"")","-\frac{{\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b c {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d^{2} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b \log\left(F\right)}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d}\right)} F^{a} e f}{\sqrt{b \log\left(F\right)} d} + \frac{{\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b^{2} c^{2} {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{3} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{2 \, F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b^{2} c \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{2}} - \frac{{\left(b d^{2} x + b c d\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right) \log\left(F\right)^{3}}{\left(b \log\left(F\right)\right)^{\frac{5}{2}} d^{5} \left(-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}\right)^{\frac{3}{2}}}\right)} F^{a} f^{2}}{2 \, \sqrt{b \log\left(F\right)} d} + \frac{\sqrt{\pi} F^{b c^{2} + a} e^{2} \operatorname{erf}\left(\sqrt{-b \log\left(F\right)} d x - \frac{b c \log\left(F\right)}{\sqrt{-b \log\left(F\right)}}\right)}{2 \, \sqrt{-b \log\left(F\right)} F^{b c^{2}} d}"," ",0,"-(sqrt(pi)*(b*d^2*x + b*c*d)*b*c*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^2/((b*log(F))^(3/2)*d^2*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - F^((b*d^2*x + b*c*d)^2/(b*d^2))*b*log(F)/((b*log(F))^(3/2)*d))*F^a*e*f/(sqrt(b*log(F))*d) + 1/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b^2*c^2*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^3/((b*log(F))^(5/2)*d^3*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 2*F^((b*d^2*x + b*c*d)^2/(b*d^2))*b^2*c*log(F)^2/((b*log(F))^(5/2)*d^2) - (b*d^2*x + b*c*d)^3*gamma(3/2, -(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))*log(F)^3/((b*log(F))^(5/2)*d^5*(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))^(3/2)))*F^a*f^2/(sqrt(b*log(F))*d) + 1/2*sqrt(pi)*F^(b*c^2 + a)*e^2*erf(sqrt(-b*log(F))*d*x - b*c*log(F)/sqrt(-b*log(F)))/(sqrt(-b*log(F))*F^(b*c^2)*d)","B",0
386,1,195,0,1.762208," ","integrate(F^(a+b*(d*x+c)^2)*(f*x+e),x, algorithm=""maxima"")","-\frac{{\left(\frac{\sqrt{\pi} {\left(b d^{2} x + b c d\right)} b c {\left(\operatorname{erf}\left(\sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}\right) - 1\right)} \log\left(F\right)^{2}}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d^{2} \sqrt{-\frac{{\left(b d^{2} x + b c d\right)}^{2} \log\left(F\right)}{b d^{2}}}} - \frac{F^{\frac{{\left(b d^{2} x + b c d\right)}^{2}}{b d^{2}}} b \log\left(F\right)}{\left(b \log\left(F\right)\right)^{\frac{3}{2}} d}\right)} F^{a} f}{2 \, \sqrt{b \log\left(F\right)} d} + \frac{\sqrt{\pi} F^{b c^{2} + a} e \operatorname{erf}\left(\sqrt{-b \log\left(F\right)} d x - \frac{b c \log\left(F\right)}{\sqrt{-b \log\left(F\right)}}\right)}{2 \, \sqrt{-b \log\left(F\right)} F^{b c^{2}} d}"," ",0,"-1/2*(sqrt(pi)*(b*d^2*x + b*c*d)*b*c*(erf(sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - 1)*log(F)^2/((b*log(F))^(3/2)*d^2*sqrt(-(b*d^2*x + b*c*d)^2*log(F)/(b*d^2))) - F^((b*d^2*x + b*c*d)^2/(b*d^2))*b*log(F)/((b*log(F))^(3/2)*d))*F^a*f/(sqrt(b*log(F))*d) + 1/2*sqrt(pi)*F^(b*c^2 + a)*e*erf(sqrt(-b*log(F))*d*x - b*c*log(F)/sqrt(-b*log(F)))/(sqrt(-b*log(F))*F^(b*c^2)*d)","B",0
387,1,58,0,0.974696," ","integrate(F^(a+b*(d*x+c)^2),x, algorithm=""maxima"")","\frac{\sqrt{\pi} F^{b c^{2} + a} \operatorname{erf}\left(\sqrt{-b \log\left(F\right)} d x - \frac{b c \log\left(F\right)}{\sqrt{-b \log\left(F\right)}}\right)}{2 \, \sqrt{-b \log\left(F\right)} F^{b c^{2}} d}"," ",0,"1/2*sqrt(pi)*F^(b*c^2 + a)*erf(sqrt(-b*log(F))*d*x - b*c*log(F)/sqrt(-b*log(F)))/(sqrt(-b*log(F))*F^(b*c^2)*d)","A",0
388,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^2)/(f*x+e),x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{2} b + a}}{f x + e}\,{d x}"," ",0,"integrate(F^((d*x + c)^2*b + a)/(f*x + e), x)","F",0
389,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^2)/(f*x+e)^2,x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{2} b + a}}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate(F^((d*x + c)^2*b + a)/(f*x + e)^2, x)","F",0
390,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^2)/(f*x+e)^3,x, algorithm=""maxima"")","\int \frac{F^{{\left(d x + c\right)}^{2} b + a}}{{\left(f x + e\right)}^{3}}\,{d x}"," ",0,"integrate(F^((d*x + c)^2*b + a)/(f*x + e)^3, x)","F",0
391,0,0,0,0.000000," ","integrate(exp(e*(d*x+c)^3)*(b*x+a)^3,x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{3} e^{\left({\left(d x + c\right)}^{3} e\right)}\,{d x}"," ",0,"integrate((b*x + a)^3*e^((d*x + c)^3*e), x)","F",0
392,0,0,0,0.000000," ","integrate(exp(e*(d*x+c)^3)*(b*x+a)^2,x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{2} e^{\left({\left(d x + c\right)}^{3} e\right)}\,{d x}"," ",0,"integrate((b*x + a)^2*e^((d*x + c)^3*e), x)","F",0
393,0,0,0,0.000000," ","integrate(exp(e*(d*x+c)^3)*(b*x+a),x, algorithm=""maxima"")","\int {\left(b x + a\right)} e^{\left({\left(d x + c\right)}^{3} e\right)}\,{d x}"," ",0,"integrate((b*x + a)*e^((d*x + c)^3*e), x)","F",0
394,0,0,0,0.000000," ","integrate(exp(e*(d*x+c)^3),x, algorithm=""maxima"")","\int e^{\left({\left(d x + c\right)}^{3} e\right)}\,{d x}"," ",0,"integrate(e^((d*x + c)^3*e), x)","F",0
395,0,0,0,0.000000," ","integrate(exp(e*(d*x+c)^3)/(b*x+a),x, algorithm=""maxima"")","\int \frac{e^{\left({\left(d x + c\right)}^{3} e\right)}}{b x + a}\,{d x}"," ",0,"integrate(e^((d*x + c)^3*e)/(b*x + a), x)","F",0
396,0,0,0,0.000000," ","integrate(exp(e*(d*x+c)^3)/(b*x+a)^2,x, algorithm=""maxima"")","\int \frac{e^{\left({\left(d x + c\right)}^{3} e\right)}}{{\left(b x + a\right)}^{2}}\,{d x}"," ",0,"integrate(e^((d*x + c)^3*e)/(b*x + a)^2, x)","F",0
397,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c))/(f*x+e),x, algorithm=""maxima"")","\int \frac{F^{a + \frac{b}{d x + c}}}{f x + e}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c))/(f*x + e), x)","F",0
398,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c))/(f*x+e)^2,x, algorithm=""maxima"")","\int \frac{F^{a + \frac{b}{d x + c}}}{{\left(f x + e\right)}^{2}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c))/(f*x + e)^2, x)","F",0
399,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c))/(f*x+e)^3,x, algorithm=""maxima"")","\int \frac{F^{a + \frac{b}{d x + c}}}{{\left(f x + e\right)}^{3}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c))/(f*x + e)^3, x)","F",0
400,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c))/(f*x+e)^4,x, algorithm=""maxima"")","\int \frac{F^{a + \frac{b}{d x + c}}}{{\left(f x + e\right)}^{4}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c))/(f*x + e)^4, x)","F",0
401,0,0,0,0.000000," ","integrate(exp(e/(d*x+c))*(b*x+a)^4,x, algorithm=""maxima"")","\frac{{\left(24 \, b^{4} d^{4} x^{5} + 6 \, {\left(20 \, a b^{3} d^{4} + b^{4} d^{3} e\right)} x^{4} + 2 \, {\left(120 \, a^{2} b^{2} d^{4} + 20 \, a b^{3} d^{3} e - {\left(8 \, c d^{2} e - d^{2} e^{2}\right)} b^{4}\right)} x^{3} + {\left(240 \, a^{3} b d^{4} + 120 \, a^{2} b^{2} d^{3} e - 20 \, {\left(6 \, c d^{2} e - d^{2} e^{2}\right)} a b^{3} + {\left(36 \, c^{2} d e - 14 \, c d e^{2} + d e^{3}\right)} b^{4}\right)} x^{2} + {\left(120 \, a^{4} d^{4} + 240 \, a^{3} b d^{3} e - 120 \, {\left(4 \, c d^{2} e - d^{2} e^{2}\right)} a^{2} b^{2} + 20 \, {\left(18 \, c^{2} d e - 10 \, c d e^{2} + d e^{3}\right)} a b^{3} - {\left(96 \, c^{3} e - 86 \, c^{2} e^{2} + 18 \, c e^{3} - e^{4}\right)} b^{4}\right)} x\right)} e^{\left(\frac{e}{d x + c}\right)}}{120 \, d^{4}} + \int -\frac{{\left(240 \, a^{3} b c^{2} d^{3} e - 120 \, {\left(4 \, c^{3} d^{2} e - c^{2} d^{2} e^{2}\right)} a^{2} b^{2} + 20 \, {\left(18 \, c^{4} d e - 10 \, c^{3} d e^{2} + c^{2} d e^{3}\right)} a b^{3} - {\left(96 \, c^{5} e - 86 \, c^{4} e^{2} + 18 \, c^{3} e^{3} - c^{2} e^{4}\right)} b^{4} - {\left(120 \, a^{4} d^{5} e - 240 \, {\left(2 \, c d^{4} e - d^{4} e^{2}\right)} a^{3} b + 120 \, {\left(6 \, c^{2} d^{3} e - 6 \, c d^{3} e^{2} + d^{3} e^{3}\right)} a^{2} b^{2} - 20 \, {\left(24 \, c^{3} d^{2} e - 36 \, c^{2} d^{2} e^{2} + 12 \, c d^{2} e^{3} - d^{2} e^{4}\right)} a b^{3} + {\left(120 \, c^{4} d e - 240 \, c^{3} d e^{2} + 120 \, c^{2} d e^{3} - 20 \, c d e^{4} + d e^{5}\right)} b^{4}\right)} x\right)} e^{\left(\frac{e}{d x + c}\right)}}{120 \, {\left(d^{6} x^{2} + 2 \, c d^{5} x + c^{2} d^{4}\right)}}\,{d x}"," ",0,"1/120*(24*b^4*d^4*x^5 + 6*(20*a*b^3*d^4 + b^4*d^3*e)*x^4 + 2*(120*a^2*b^2*d^4 + 20*a*b^3*d^3*e - (8*c*d^2*e - d^2*e^2)*b^4)*x^3 + (240*a^3*b*d^4 + 120*a^2*b^2*d^3*e - 20*(6*c*d^2*e - d^2*e^2)*a*b^3 + (36*c^2*d*e - 14*c*d*e^2 + d*e^3)*b^4)*x^2 + (120*a^4*d^4 + 240*a^3*b*d^3*e - 120*(4*c*d^2*e - d^2*e^2)*a^2*b^2 + 20*(18*c^2*d*e - 10*c*d*e^2 + d*e^3)*a*b^3 - (96*c^3*e - 86*c^2*e^2 + 18*c*e^3 - e^4)*b^4)*x)*e^(e/(d*x + c))/d^4 + integrate(-1/120*(240*a^3*b*c^2*d^3*e - 120*(4*c^3*d^2*e - c^2*d^2*e^2)*a^2*b^2 + 20*(18*c^4*d*e - 10*c^3*d*e^2 + c^2*d*e^3)*a*b^3 - (96*c^5*e - 86*c^4*e^2 + 18*c^3*e^3 - c^2*e^4)*b^4 - (120*a^4*d^5*e - 240*(2*c*d^4*e - d^4*e^2)*a^3*b + 120*(6*c^2*d^3*e - 6*c*d^3*e^2 + d^3*e^3)*a^2*b^2 - 20*(24*c^3*d^2*e - 36*c^2*d^2*e^2 + 12*c*d^2*e^3 - d^2*e^4)*a*b^3 + (120*c^4*d*e - 240*c^3*d*e^2 + 120*c^2*d*e^3 - 20*c*d*e^4 + d*e^5)*b^4)*x)*e^(e/(d*x + c))/(d^6*x^2 + 2*c*d^5*x + c^2*d^4), x)","F",0
402,0,0,0,0.000000," ","integrate(exp(e/(d*x+c))*(b*x+a)^3,x, algorithm=""maxima"")","\frac{{\left(6 \, b^{3} d^{3} x^{4} + 2 \, {\left(12 \, a b^{2} d^{3} + b^{3} d^{2} e\right)} x^{3} + {\left(36 \, a^{2} b d^{3} + 12 \, a b^{2} d^{2} e - {\left(6 \, c d e - d e^{2}\right)} b^{3}\right)} x^{2} + {\left(24 \, a^{3} d^{3} + 36 \, a^{2} b d^{2} e - 12 \, {\left(4 \, c d e - d e^{2}\right)} a b^{2} + {\left(18 \, c^{2} e - 10 \, c e^{2} + e^{3}\right)} b^{3}\right)} x\right)} e^{\left(\frac{e}{d x + c}\right)}}{24 \, d^{3}} + \int -\frac{{\left(36 \, a^{2} b c^{2} d^{2} e - 12 \, {\left(4 \, c^{3} d e - c^{2} d e^{2}\right)} a b^{2} + {\left(18 \, c^{4} e - 10 \, c^{3} e^{2} + c^{2} e^{3}\right)} b^{3} - {\left(24 \, a^{3} d^{4} e - 36 \, {\left(2 \, c d^{3} e - d^{3} e^{2}\right)} a^{2} b + 12 \, {\left(6 \, c^{2} d^{2} e - 6 \, c d^{2} e^{2} + d^{2} e^{3}\right)} a b^{2} - {\left(24 \, c^{3} d e - 36 \, c^{2} d e^{2} + 12 \, c d e^{3} - d e^{4}\right)} b^{3}\right)} x\right)} e^{\left(\frac{e}{d x + c}\right)}}{24 \, {\left(d^{5} x^{2} + 2 \, c d^{4} x + c^{2} d^{3}\right)}}\,{d x}"," ",0,"1/24*(6*b^3*d^3*x^4 + 2*(12*a*b^2*d^3 + b^3*d^2*e)*x^3 + (36*a^2*b*d^3 + 12*a*b^2*d^2*e - (6*c*d*e - d*e^2)*b^3)*x^2 + (24*a^3*d^3 + 36*a^2*b*d^2*e - 12*(4*c*d*e - d*e^2)*a*b^2 + (18*c^2*e - 10*c*e^2 + e^3)*b^3)*x)*e^(e/(d*x + c))/d^3 + integrate(-1/24*(36*a^2*b*c^2*d^2*e - 12*(4*c^3*d*e - c^2*d*e^2)*a*b^2 + (18*c^4*e - 10*c^3*e^2 + c^2*e^3)*b^3 - (24*a^3*d^4*e - 36*(2*c*d^3*e - d^3*e^2)*a^2*b + 12*(6*c^2*d^2*e - 6*c*d^2*e^2 + d^2*e^3)*a*b^2 - (24*c^3*d*e - 36*c^2*d*e^2 + 12*c*d*e^3 - d*e^4)*b^3)*x)*e^(e/(d*x + c))/(d^5*x^2 + 2*c*d^4*x + c^2*d^3), x)","F",0
403,0,0,0,0.000000," ","integrate(exp(e/(d*x+c))*(b*x+a)^2,x, algorithm=""maxima"")","\frac{{\left(2 \, b^{2} d^{2} x^{3} + {\left(6 \, a b d^{2} + b^{2} d e\right)} x^{2} + {\left(6 \, a^{2} d^{2} + 6 \, a b d e - {\left(4 \, c e - e^{2}\right)} b^{2}\right)} x\right)} e^{\left(\frac{e}{d x + c}\right)}}{6 \, d^{2}} + \int -\frac{{\left(6 \, a b c^{2} d e - {\left(4 \, c^{3} e - c^{2} e^{2}\right)} b^{2} - {\left(6 \, a^{2} d^{3} e - 6 \, {\left(2 \, c d^{2} e - d^{2} e^{2}\right)} a b + {\left(6 \, c^{2} d e - 6 \, c d e^{2} + d e^{3}\right)} b^{2}\right)} x\right)} e^{\left(\frac{e}{d x + c}\right)}}{6 \, {\left(d^{4} x^{2} + 2 \, c d^{3} x + c^{2} d^{2}\right)}}\,{d x}"," ",0,"1/6*(2*b^2*d^2*x^3 + (6*a*b*d^2 + b^2*d*e)*x^2 + (6*a^2*d^2 + 6*a*b*d*e - (4*c*e - e^2)*b^2)*x)*e^(e/(d*x + c))/d^2 + integrate(-1/6*(6*a*b*c^2*d*e - (4*c^3*e - c^2*e^2)*b^2 - (6*a^2*d^3*e - 6*(2*c*d^2*e - d^2*e^2)*a*b + (6*c^2*d*e - 6*c*d*e^2 + d*e^3)*b^2)*x)*e^(e/(d*x + c))/(d^4*x^2 + 2*c*d^3*x + c^2*d^2), x)","F",0
404,0,0,0,0.000000," ","integrate(exp(e/(d*x+c))*(b*x+a),x, algorithm=""maxima"")","\frac{{\left(b d x^{2} + {\left(2 \, a d + b e\right)} x\right)} e^{\left(\frac{e}{d x + c}\right)}}{2 \, d} + \int -\frac{{\left(b c^{2} e - {\left(2 \, a d^{2} e - {\left(2 \, c d e - d e^{2}\right)} b\right)} x\right)} e^{\left(\frac{e}{d x + c}\right)}}{2 \, {\left(d^{3} x^{2} + 2 \, c d^{2} x + c^{2} d\right)}}\,{d x}"," ",0,"1/2*(b*d*x^2 + (2*a*d + b*e)*x)*e^(e/(d*x + c))/d + integrate(-1/2*(b*c^2*e - (2*a*d^2*e - (2*c*d*e - d*e^2)*b)*x)*e^(e/(d*x + c))/(d^3*x^2 + 2*c*d^2*x + c^2*d), x)","F",0
405,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)),x, algorithm=""maxima"")","d e \int \frac{x e^{\left(\frac{e}{d x + c}\right)}}{d^{2} x^{2} + 2 \, c d x + c^{2}}\,{d x} + x e^{\left(\frac{e}{d x + c}\right)}"," ",0,"d*e*integrate(x*e^(e/(d*x + c))/(d^2*x^2 + 2*c*d*x + c^2), x) + x*e^(e/(d*x + c))","F",0
406,0,0,0,0.000000," ","integrate(exp(e/(d*x+c))/(b*x+a),x, algorithm=""maxima"")","\int \frac{e^{\left(\frac{e}{d x + c}\right)}}{b x + a}\,{d x}"," ",0,"integrate(e^(e/(d*x + c))/(b*x + a), x)","F",0
407,0,0,0,0.000000," ","integrate(exp(e/(d*x+c))/(b*x+a)^2,x, algorithm=""maxima"")","\int \frac{e^{\left(\frac{e}{d x + c}\right)}}{{\left(b x + a\right)}^{2}}\,{d x}"," ",0,"integrate(e^(e/(d*x + c))/(b*x + a)^2, x)","F",0
408,0,0,0,0.000000," ","integrate(exp(e/(d*x+c))/(b*x+a)^3,x, algorithm=""maxima"")","\int \frac{e^{\left(\frac{e}{d x + c}\right)}}{{\left(b x + a\right)}^{3}}\,{d x}"," ",0,"integrate(e^(e/(d*x + c))/(b*x + a)^3, x)","F",0
409,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)^2)*(b*x+a)^3,x, algorithm=""maxima"")","\frac{{\left(b^{3} d^{3} x^{4} + 4 \, a b^{2} d^{3} x^{3} + {\left(6 \, a^{2} b d^{3} + b^{3} d e\right)} x^{2} + 2 \, {\left(2 \, a^{3} d^{3} - 3 \, b^{3} c e + 4 \, a b^{2} d e\right)} x\right)} e^{\left(\frac{e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}}{4 \, d^{3}} + \int \frac{{\left(3 \, b^{3} c^{4} e - 4 \, a b^{2} c^{3} d e - {\left(12 \, a b^{2} c d^{3} e - 6 \, a^{2} b d^{4} e - {\left(6 \, c^{2} d^{2} e + d^{2} e^{2}\right)} b^{3}\right)} x^{2} + 2 \, {\left(2 \, a^{3} d^{4} e - 2 \, {\left(3 \, c^{2} d^{2} e - 2 \, d^{2} e^{2}\right)} a b^{2} + {\left(4 \, c^{3} d e - 3 \, c d e^{2}\right)} b^{3}\right)} x\right)} e^{\left(\frac{e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}}{2 \, {\left(d^{6} x^{3} + 3 \, c d^{5} x^{2} + 3 \, c^{2} d^{4} x + c^{3} d^{3}\right)}}\,{d x}"," ",0,"1/4*(b^3*d^3*x^4 + 4*a*b^2*d^3*x^3 + (6*a^2*b*d^3 + b^3*d*e)*x^2 + 2*(2*a^3*d^3 - 3*b^3*c*e + 4*a*b^2*d*e)*x)*e^(e/(d^2*x^2 + 2*c*d*x + c^2))/d^3 + integrate(1/2*(3*b^3*c^4*e - 4*a*b^2*c^3*d*e - (12*a*b^2*c*d^3*e - 6*a^2*b*d^4*e - (6*c^2*d^2*e + d^2*e^2)*b^3)*x^2 + 2*(2*a^3*d^4*e - 2*(3*c^2*d^2*e - 2*d^2*e^2)*a*b^2 + (4*c^3*d*e - 3*c*d*e^2)*b^3)*x)*e^(e/(d^2*x^2 + 2*c*d*x + c^2))/(d^6*x^3 + 3*c*d^5*x^2 + 3*c^2*d^4*x + c^3*d^3), x)","F",0
410,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)^2)*(b*x+a)^2,x, algorithm=""maxima"")","\frac{{\left(b^{2} d^{2} x^{3} + 3 \, a b d^{2} x^{2} + {\left(3 \, a^{2} d^{2} + 2 \, b^{2} e\right)} x\right)} e^{\left(\frac{e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}}{3 \, d^{2}} + \int -\frac{2 \, {\left(b^{2} c^{3} e + 3 \, {\left(b^{2} c d^{2} e - a b d^{3} e\right)} x^{2} - {\left(3 \, a^{2} d^{3} e - {\left(3 \, c^{2} d e - 2 \, d e^{2}\right)} b^{2}\right)} x\right)} e^{\left(\frac{e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}}{3 \, {\left(d^{5} x^{3} + 3 \, c d^{4} x^{2} + 3 \, c^{2} d^{3} x + c^{3} d^{2}\right)}}\,{d x}"," ",0,"1/3*(b^2*d^2*x^3 + 3*a*b*d^2*x^2 + (3*a^2*d^2 + 2*b^2*e)*x)*e^(e/(d^2*x^2 + 2*c*d*x + c^2))/d^2 + integrate(-2/3*(b^2*c^3*e + 3*(b^2*c*d^2*e - a*b*d^3*e)*x^2 - (3*a^2*d^3*e - (3*c^2*d*e - 2*d*e^2)*b^2)*x)*e^(e/(d^2*x^2 + 2*c*d*x + c^2))/(d^5*x^3 + 3*c*d^4*x^2 + 3*c^2*d^3*x + c^3*d^2), x)","F",0
411,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)^2)*(b*x+a),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(b x^{2} + 2 \, a x\right)} e^{\left(\frac{e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)} + \int \frac{{\left(b d e x^{2} + 2 \, a d e x\right)} e^{\left(\frac{e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\,{d x}"," ",0,"1/2*(b*x^2 + 2*a*x)*e^(e/(d^2*x^2 + 2*c*d*x + c^2)) + integrate((b*d*e*x^2 + 2*a*d*e*x)*e^(e/(d^2*x^2 + 2*c*d*x + c^2))/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x)","F",0
412,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)^2),x, algorithm=""maxima"")","2 \, d e \int \frac{x e^{\left(\frac{e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\,{d x} + x e^{\left(\frac{e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}"," ",0,"2*d*e*integrate(x*e^(e/(d^2*x^2 + 2*c*d*x + c^2))/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x) + x*e^(e/(d^2*x^2 + 2*c*d*x + c^2))","F",0
413,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)^2)/(b*x+a),x, algorithm=""maxima"")","\int \frac{e^{\left(\frac{e}{{\left(d x + c\right)}^{2}}\right)}}{b x + a}\,{d x}"," ",0,"integrate(e^(e/(d*x + c)^2)/(b*x + a), x)","F",0
414,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)^2)/(b*x+a)^2,x, algorithm=""maxima"")","\int \frac{e^{\left(\frac{e}{{\left(d x + c\right)}^{2}}\right)}}{{\left(b x + a\right)}^{2}}\,{d x}"," ",0,"integrate(e^(e/(d*x + c)^2)/(b*x + a)^2, x)","F",0
415,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)^2)/(b*x+a)^3,x, algorithm=""maxima"")","\int \frac{e^{\left(\frac{e}{{\left(d x + c\right)}^{2}}\right)}}{{\left(b x + a\right)}^{3}}\,{d x}"," ",0,"integrate(e^(e/(d*x + c)^2)/(b*x + a)^3, x)","F",0
416,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)^3)*(b*x+a)^3,x, algorithm=""maxima"")","\frac{{\left(b^{3} d^{3} x^{4} + 4 \, a b^{2} d^{3} x^{3} + 6 \, a^{2} b d^{3} x^{2} + {\left(4 \, a^{3} d^{3} + 3 \, b^{3} e\right)} x\right)} e^{\left(\frac{e}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right)}}{4 \, d^{3}} + \int -\frac{3 \, {\left(b^{3} c^{4} e + 4 \, {\left(b^{3} c d^{3} e - a b^{2} d^{4} e\right)} x^{3} + 6 \, {\left(b^{3} c^{2} d^{2} e - a^{2} b d^{4} e\right)} x^{2} - {\left(4 \, a^{3} d^{4} e - {\left(4 \, c^{3} d e - 3 \, d e^{2}\right)} b^{3}\right)} x\right)} e^{\left(\frac{e}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right)}}{4 \, {\left(d^{7} x^{4} + 4 \, c d^{6} x^{3} + 6 \, c^{2} d^{5} x^{2} + 4 \, c^{3} d^{4} x + c^{4} d^{3}\right)}}\,{d x}"," ",0,"1/4*(b^3*d^3*x^4 + 4*a*b^2*d^3*x^3 + 6*a^2*b*d^3*x^2 + (4*a^3*d^3 + 3*b^3*e)*x)*e^(e/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/d^3 + integrate(-3/4*(b^3*c^4*e + 4*(b^3*c*d^3*e - a*b^2*d^4*e)*x^3 + 6*(b^3*c^2*d^2*e - a^2*b*d^4*e)*x^2 - (4*a^3*d^4*e - (4*c^3*d*e - 3*d*e^2)*b^3)*x)*e^(e/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/(d^7*x^4 + 4*c*d^6*x^3 + 6*c^2*d^5*x^2 + 4*c^3*d^4*x + c^4*d^3), x)","F",0
417,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)^3)*(b*x+a)^2,x, algorithm=""maxima"")","\frac{1}{3} \, {\left(b^{2} x^{3} + 3 \, a b x^{2} + 3 \, a^{2} x\right)} e^{\left(\frac{e}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right)} + \int \frac{{\left(b^{2} d e x^{3} + 3 \, a b d e x^{2} + 3 \, a^{2} d e x\right)} e^{\left(\frac{e}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right)}}{d^{4} x^{4} + 4 \, c d^{3} x^{3} + 6 \, c^{2} d^{2} x^{2} + 4 \, c^{3} d x + c^{4}}\,{d x}"," ",0,"1/3*(b^2*x^3 + 3*a*b*x^2 + 3*a^2*x)*e^(e/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)) + integrate((b^2*d*e*x^3 + 3*a*b*d*e*x^2 + 3*a^2*d*e*x)*e^(e/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/(d^4*x^4 + 4*c*d^3*x^3 + 6*c^2*d^2*x^2 + 4*c^3*d*x + c^4), x)","F",0
418,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)^3)*(b*x+a),x, algorithm=""maxima"")","\frac{1}{2} \, {\left(b x^{2} + 2 \, a x\right)} e^{\left(\frac{e}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right)} + \int \frac{3 \, {\left(b d e x^{2} + 2 \, a d e x\right)} e^{\left(\frac{e}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right)}}{2 \, {\left(d^{4} x^{4} + 4 \, c d^{3} x^{3} + 6 \, c^{2} d^{2} x^{2} + 4 \, c^{3} d x + c^{4}\right)}}\,{d x}"," ",0,"1/2*(b*x^2 + 2*a*x)*e^(e/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)) + integrate(3/2*(b*d*e*x^2 + 2*a*d*e*x)*e^(e/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/(d^4*x^4 + 4*c*d^3*x^3 + 6*c^2*d^2*x^2 + 4*c^3*d*x + c^4), x)","F",0
419,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)^3),x, algorithm=""maxima"")","3 \, d e \int \frac{x e^{\left(\frac{e}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right)}}{d^{4} x^{4} + 4 \, c d^{3} x^{3} + 6 \, c^{2} d^{2} x^{2} + 4 \, c^{3} d x + c^{4}}\,{d x} + x e^{\left(\frac{e}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right)}"," ",0,"3*d*e*integrate(x*e^(e/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/(d^4*x^4 + 4*c*d^3*x^3 + 6*c^2*d^2*x^2 + 4*c^3*d*x + c^4), x) + x*e^(e/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))","F",0
420,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)^3)/(b*x+a),x, algorithm=""maxima"")","\int \frac{e^{\left(\frac{e}{{\left(d x + c\right)}^{3}}\right)}}{b x + a}\,{d x}"," ",0,"integrate(e^(e/(d*x + c)^3)/(b*x + a), x)","F",0
421,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)^3)/(b*x+a)^2,x, algorithm=""maxima"")","\int \frac{e^{\left(\frac{e}{{\left(d x + c\right)}^{3}}\right)}}{{\left(b x + a\right)}^{2}}\,{d x}"," ",0,"integrate(e^(e/(d*x + c)^3)/(b*x + a)^2, x)","F",0
422,0,0,0,0.000000," ","integrate(F^(e+f*(b*x+a)/(d*x+c))/(h*x+g),x, algorithm=""maxima"")","\int \frac{F^{e + \frac{{\left(b x + a\right)} f}{d x + c}}}{h x + g}\,{d x}"," ",0,"integrate(F^(e + (b*x + a)*f/(d*x + c))/(h*x + g), x)","F",0
423,0,0,0,0.000000," ","integrate(F^(e+f*(b*x+a)/(d*x+c))/(h*x+g)^2,x, algorithm=""maxima"")","\int \frac{F^{e + \frac{{\left(b x + a\right)} f}{d x + c}}}{{\left(h x + g\right)}^{2}}\,{d x}"," ",0,"integrate(F^(e + (b*x + a)*f/(d*x + c))/(h*x + g)^2, x)","F",0
424,0,0,0,0.000000," ","integrate(F^(e+f*(b*x+a)/(d*x+c))/(h*x+g)^3,x, algorithm=""maxima"")","\int \frac{F^{e + \frac{{\left(b x + a\right)} f}{d x + c}}}{{\left(h x + g\right)}^{3}}\,{d x}"," ",0,"integrate(F^(e + (b*x + a)*f/(d*x + c))/(h*x + g)^3, x)","F",0
425,0,0,0,0.000000," ","integrate(F^(e+f*(b*x+a)/(d*x+c))/(h*x+g)^4,x, algorithm=""maxima"")","\int \frac{F^{e + \frac{{\left(b x + a\right)} f}{d x + c}}}{{\left(h x + g\right)}^{4}}\,{d x}"," ",0,"integrate(F^(e + (b*x + a)*f/(d*x + c))/(h*x + g)^4, x)","F",0
426,1,201,0,2.279346," ","integrate(f^(c*x^2+b*x+a)*x^3,x, algorithm=""maxima"")","-\frac{{\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{3} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}}\right) - 1\right)} \log\left(f\right)^{4}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}} \left(c \log\left(f\right)\right)^{\frac{7}{2}}} - \frac{12 \, {\left(2 \, c x + b\right)}^{3} b \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{4 \, c}\right) \log\left(f\right)^{4}}{\left(-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}\right)^{\frac{3}{2}} \left(c \log\left(f\right)\right)^{\frac{7}{2}}} - \frac{6 \, b^{2} c f^{\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}} \log\left(f\right)^{3}}{\left(c \log\left(f\right)\right)^{\frac{7}{2}}} + \frac{8 \, c^{2} \Gamma\left(2, -\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{4 \, c}\right) \log\left(f\right)^{2}}{\left(c \log\left(f\right)\right)^{\frac{7}{2}}}\right)} f^{a - \frac{b^{2}}{4 \, c}}}{16 \, \sqrt{c \log\left(f\right)}}"," ",0,"-1/16*(sqrt(pi)*(2*c*x + b)*b^3*(erf(1/2*sqrt(-(2*c*x + b)^2*log(f)/c)) - 1)*log(f)^4/(sqrt(-(2*c*x + b)^2*log(f)/c)*(c*log(f))^(7/2)) - 12*(2*c*x + b)^3*b*gamma(3/2, -1/4*(2*c*x + b)^2*log(f)/c)*log(f)^4/((-(2*c*x + b)^2*log(f)/c)^(3/2)*(c*log(f))^(7/2)) - 6*b^2*c*f^(1/4*(2*c*x + b)^2/c)*log(f)^3/(c*log(f))^(7/2) + 8*c^2*gamma(2, -1/4*(2*c*x + b)^2*log(f)/c)*log(f)^2/(c*log(f))^(7/2))*f^(a - 1/4*b^2/c)/sqrt(c*log(f))","A",0
427,1,166,0,2.078825," ","integrate(f^(c*x^2+b*x+a)*x^2,x, algorithm=""maxima"")","\frac{{\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{2} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}}\right) - 1\right)} \log\left(f\right)^{3}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}} \left(c \log\left(f\right)\right)^{\frac{5}{2}}} - \frac{4 \, {\left(2 \, c x + b\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{4 \, c}\right) \log\left(f\right)^{3}}{\left(-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}\right)^{\frac{3}{2}} \left(c \log\left(f\right)\right)^{\frac{5}{2}}} - \frac{4 \, b c f^{\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}} \log\left(f\right)^{2}}{\left(c \log\left(f\right)\right)^{\frac{5}{2}}}\right)} f^{a - \frac{b^{2}}{4 \, c}}}{8 \, \sqrt{c \log\left(f\right)}}"," ",0,"1/8*(sqrt(pi)*(2*c*x + b)*b^2*(erf(1/2*sqrt(-(2*c*x + b)^2*log(f)/c)) - 1)*log(f)^3/(sqrt(-(2*c*x + b)^2*log(f)/c)*(c*log(f))^(5/2)) - 4*(2*c*x + b)^3*gamma(3/2, -1/4*(2*c*x + b)^2*log(f)/c)*log(f)^3/((-(2*c*x + b)^2*log(f)/c)^(3/2)*(c*log(f))^(5/2)) - 4*b*c*f^(1/4*(2*c*x + b)^2/c)*log(f)^2/(c*log(f))^(5/2))*f^(a - 1/4*b^2/c)/sqrt(c*log(f))","A",0
428,1,107,0,2.025709," ","integrate(f^(c*x^2+b*x+a)*x,x, algorithm=""maxima"")","-\frac{{\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}}\right) - 1\right)} \log\left(f\right)^{2}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}} \left(c \log\left(f\right)\right)^{\frac{3}{2}}} - \frac{2 \, c f^{\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}} \log\left(f\right)}{\left(c \log\left(f\right)\right)^{\frac{3}{2}}}\right)} f^{a - \frac{b^{2}}{4 \, c}}}{4 \, \sqrt{c \log\left(f\right)}}"," ",0,"-1/4*(sqrt(pi)*(2*c*x + b)*b*(erf(1/2*sqrt(-(2*c*x + b)^2*log(f)/c)) - 1)*log(f)^2/(sqrt(-(2*c*x + b)^2*log(f)/c)*(c*log(f))^(3/2)) - 2*c*f^(1/4*(2*c*x + b)^2/c)*log(f)/(c*log(f))^(3/2))*f^(a - 1/4*b^2/c)/sqrt(c*log(f))","A",0
429,1,50,0,1.062485," ","integrate(f^(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x - \frac{b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right)}}\right)}{2 \, \sqrt{-c \log\left(f\right)} f^{\frac{b^{2}}{4 \, c}}}"," ",0,"1/2*sqrt(pi)*f^a*erf(sqrt(-c*log(f))*x - 1/2*b*log(f)/sqrt(-c*log(f)))/(sqrt(-c*log(f))*f^(1/4*b^2/c))","A",0
430,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)/x,x, algorithm=""maxima"")","\int \frac{f^{c x^{2} + b x + a}}{x}\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)/x, x)","F",0
431,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)/x^2,x, algorithm=""maxima"")","\int \frac{f^{c x^{2} + b x + a}}{x^{2}}\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)/x^2, x)","F",0
432,1,181,0,2.200791," ","integrate(exp(-c*x^2+b*x+a)*x^3,x, algorithm=""maxima"")","\frac{{\left(\frac{\sqrt{\pi} {\left(2 \, c x - b\right)} b^{3} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{{\left(2 \, c x - b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{\frac{{\left(2 \, c x - b\right)}^{2}}{c}} \left(-c\right)^{\frac{7}{2}}} - \frac{6 \, b^{2} c e^{\left(-\frac{{\left(2 \, c x - b\right)}^{2}}{4 \, c}\right)}}{\left(-c\right)^{\frac{7}{2}}} - \frac{12 \, {\left(2 \, c x - b\right)}^{3} b \Gamma\left(\frac{3}{2}, \frac{{\left(2 \, c x - b\right)}^{2}}{4 \, c}\right)}{\left(\frac{{\left(2 \, c x - b\right)}^{2}}{c}\right)^{\frac{3}{2}} \left(-c\right)^{\frac{7}{2}}} - \frac{8 \, c^{2} \Gamma\left(2, \frac{{\left(2 \, c x - b\right)}^{2}}{4 \, c}\right)}{\left(-c\right)^{\frac{7}{2}}}\right)} e^{\left(a + \frac{b^{2}}{4 \, c}\right)}}{16 \, \sqrt{-c}}"," ",0,"1/16*(sqrt(pi)*(2*c*x - b)*b^3*(erf(1/2*sqrt((2*c*x - b)^2/c)) - 1)/(sqrt((2*c*x - b)^2/c)*(-c)^(7/2)) - 6*b^2*c*e^(-1/4*(2*c*x - b)^2/c)/(-c)^(7/2) - 12*(2*c*x - b)^3*b*gamma(3/2, 1/4*(2*c*x - b)^2/c)/(((2*c*x - b)^2/c)^(3/2)*(-c)^(7/2)) - 8*c^2*gamma(2, 1/4*(2*c*x - b)^2/c)/(-c)^(7/2))*e^(a + 1/4*b^2/c)/sqrt(-c)","A",0
433,1,151,0,2.129081," ","integrate(exp(-c*x^2+b*x+a)*x^2,x, algorithm=""maxima"")","-\frac{{\left(\frac{\sqrt{\pi} {\left(2 \, c x - b\right)} b^{2} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{{\left(2 \, c x - b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{\frac{{\left(2 \, c x - b\right)}^{2}}{c}} \left(-c\right)^{\frac{5}{2}}} - \frac{4 \, b c e^{\left(-\frac{{\left(2 \, c x - b\right)}^{2}}{4 \, c}\right)}}{\left(-c\right)^{\frac{5}{2}}} - \frac{4 \, {\left(2 \, c x - b\right)}^{3} \Gamma\left(\frac{3}{2}, \frac{{\left(2 \, c x - b\right)}^{2}}{4 \, c}\right)}{\left(\frac{{\left(2 \, c x - b\right)}^{2}}{c}\right)^{\frac{3}{2}} \left(-c\right)^{\frac{5}{2}}}\right)} e^{\left(a + \frac{b^{2}}{4 \, c}\right)}}{8 \, \sqrt{-c}}"," ",0,"-1/8*(sqrt(pi)*(2*c*x - b)*b^2*(erf(1/2*sqrt((2*c*x - b)^2/c)) - 1)/(sqrt((2*c*x - b)^2/c)*(-c)^(5/2)) - 4*b*c*e^(-1/4*(2*c*x - b)^2/c)/(-c)^(5/2) - 4*(2*c*x - b)^3*gamma(3/2, 1/4*(2*c*x - b)^2/c)/(((2*c*x - b)^2/c)^(3/2)*(-c)^(5/2)))*e^(a + 1/4*b^2/c)/sqrt(-c)","A",0
434,1,98,0,1.494007," ","integrate(exp(-c*x^2+b*x+a)*x,x, algorithm=""maxima"")","\frac{{\left(\frac{\sqrt{\pi} {\left(2 \, c x - b\right)} b {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{\frac{{\left(2 \, c x - b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{\frac{{\left(2 \, c x - b\right)}^{2}}{c}} \left(-c\right)^{\frac{3}{2}}} - \frac{2 \, c e^{\left(-\frac{{\left(2 \, c x - b\right)}^{2}}{4 \, c}\right)}}{\left(-c\right)^{\frac{3}{2}}}\right)} e^{\left(a + \frac{b^{2}}{4 \, c}\right)}}{4 \, \sqrt{-c}}"," ",0,"1/4*(sqrt(pi)*(2*c*x - b)*b*(erf(1/2*sqrt((2*c*x - b)^2/c)) - 1)/(sqrt((2*c*x - b)^2/c)*(-c)^(3/2)) - 2*c*e^(-1/4*(2*c*x - b)^2/c)/(-c)^(3/2))*e^(a + 1/4*b^2/c)/sqrt(-c)","A",0
435,1,32,0,0.815030," ","integrate(exp(-c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{\sqrt{\pi} \operatorname{erf}\left(\sqrt{c} x - \frac{b}{2 \, \sqrt{c}}\right) e^{\left(a + \frac{b^{2}}{4 \, c}\right)}}{2 \, \sqrt{c}}"," ",0,"1/2*sqrt(pi)*erf(sqrt(c)*x - 1/2*b/sqrt(c))*e^(a + 1/4*b^2/c)/sqrt(c)","A",0
436,0,0,0,0.000000," ","integrate(exp(-c*x^2+b*x+a)/x,x, algorithm=""maxima"")","\int \frac{e^{\left(-c x^{2} + b x + a\right)}}{x}\,{d x}"," ",0,"integrate(e^(-c*x^2 + b*x + a)/x, x)","F",0
437,0,0,0,0.000000," ","integrate(exp(-c*x^2+b*x+a)/x^2,x, algorithm=""maxima"")","\int \frac{e^{\left(-c x^{2} + b x + a\right)}}{x^{2}}\,{d x}"," ",0,"integrate(e^(-c*x^2 + b*x + a)/x^2, x)","F",0
438,1,267,0,2.106801," ","integrate(exp((b*x+a)*(d*x+c))*x^3,x, algorithm=""maxima"")","-\frac{{\left(\frac{\sqrt{\pi} {\left(2 \, b d x + b c + a d\right)} {\left(b c + a d\right)}^{3} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, b d x + b c + a d\right)}^{2}}{b d}}\right) - 1\right)}}{\left(b d\right)^{\frac{7}{2}} \sqrt{-\frac{{\left(2 \, b d x + b c + a d\right)}^{2}}{b d}}} - \frac{6 \, {\left(b c + a d\right)}^{2} b d e^{\left(\frac{{\left(2 \, b d x + b c + a d\right)}^{2}}{4 \, b d}\right)}}{\left(b d\right)^{\frac{7}{2}}} + \frac{8 \, b^{2} d^{2} \Gamma\left(2, -\frac{{\left(2 \, b d x + b c + a d\right)}^{2}}{4 \, b d}\right)}{\left(b d\right)^{\frac{7}{2}}} - \frac{12 \, {\left(2 \, b d x + b c + a d\right)}^{3} {\left(b c + a d\right)} \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, b d x + b c + a d\right)}^{2}}{4 \, b d}\right)}{\left(b d\right)^{\frac{7}{2}} \left(-\frac{{\left(2 \, b d x + b c + a d\right)}^{2}}{b d}\right)^{\frac{3}{2}}}\right)} e^{\left(a c - \frac{{\left(b c + a d\right)}^{2}}{4 \, b d}\right)}}{16 \, \sqrt{b d}}"," ",0,"-1/16*(sqrt(pi)*(2*b*d*x + b*c + a*d)*(b*c + a*d)^3*(erf(1/2*sqrt(-(2*b*d*x + b*c + a*d)^2/(b*d))) - 1)/((b*d)^(7/2)*sqrt(-(2*b*d*x + b*c + a*d)^2/(b*d))) - 6*(b*c + a*d)^2*b*d*e^(1/4*(2*b*d*x + b*c + a*d)^2/(b*d))/(b*d)^(7/2) + 8*b^2*d^2*gamma(2, -1/4*(2*b*d*x + b*c + a*d)^2/(b*d))/(b*d)^(7/2) - 12*(2*b*d*x + b*c + a*d)^3*(b*c + a*d)*gamma(3/2, -1/4*(2*b*d*x + b*c + a*d)^2/(b*d))/((b*d)^(7/2)*(-(2*b*d*x + b*c + a*d)^2/(b*d))^(3/2)))*e^(a*c - 1/4*(b*c + a*d)^2/(b*d))/sqrt(b*d)","A",0
439,1,221,0,1.898506," ","integrate(exp((b*x+a)*(d*x+c))*x^2,x, algorithm=""maxima"")","\frac{{\left(\frac{\sqrt{\pi} {\left(2 \, b d x + b c + a d\right)} {\left(b c + a d\right)}^{2} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, b d x + b c + a d\right)}^{2}}{b d}}\right) - 1\right)}}{\left(b d\right)^{\frac{5}{2}} \sqrt{-\frac{{\left(2 \, b d x + b c + a d\right)}^{2}}{b d}}} - \frac{4 \, {\left(b c + a d\right)} b d e^{\left(\frac{{\left(2 \, b d x + b c + a d\right)}^{2}}{4 \, b d}\right)}}{\left(b d\right)^{\frac{5}{2}}} - \frac{4 \, {\left(2 \, b d x + b c + a d\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, b d x + b c + a d\right)}^{2}}{4 \, b d}\right)}{\left(b d\right)^{\frac{5}{2}} \left(-\frac{{\left(2 \, b d x + b c + a d\right)}^{2}}{b d}\right)^{\frac{3}{2}}}\right)} e^{\left(a c - \frac{{\left(b c + a d\right)}^{2}}{4 \, b d}\right)}}{8 \, \sqrt{b d}}"," ",0,"1/8*(sqrt(pi)*(2*b*d*x + b*c + a*d)*(b*c + a*d)^2*(erf(1/2*sqrt(-(2*b*d*x + b*c + a*d)^2/(b*d))) - 1)/((b*d)^(5/2)*sqrt(-(2*b*d*x + b*c + a*d)^2/(b*d))) - 4*(b*c + a*d)*b*d*e^(1/4*(2*b*d*x + b*c + a*d)^2/(b*d))/(b*d)^(5/2) - 4*(2*b*d*x + b*c + a*d)^3*gamma(3/2, -1/4*(2*b*d*x + b*c + a*d)^2/(b*d))/((b*d)^(5/2)*(-(2*b*d*x + b*c + a*d)^2/(b*d))^(3/2)))*e^(a*c - 1/4*(b*c + a*d)^2/(b*d))/sqrt(b*d)","A",0
440,1,143,0,1.376597," ","integrate(exp((b*x+a)*(d*x+c))*x,x, algorithm=""maxima"")","-\frac{{\left(\frac{\sqrt{\pi} {\left(2 \, b d x + b c + a d\right)} {\left(b c + a d\right)} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, b d x + b c + a d\right)}^{2}}{b d}}\right) - 1\right)}}{\left(b d\right)^{\frac{3}{2}} \sqrt{-\frac{{\left(2 \, b d x + b c + a d\right)}^{2}}{b d}}} - \frac{2 \, b d e^{\left(\frac{{\left(2 \, b d x + b c + a d\right)}^{2}}{4 \, b d}\right)}}{\left(b d\right)^{\frac{3}{2}}}\right)} e^{\left(a c - \frac{{\left(b c + a d\right)}^{2}}{4 \, b d}\right)}}{4 \, \sqrt{b d}}"," ",0,"-1/4*(sqrt(pi)*(2*b*d*x + b*c + a*d)*(b*c + a*d)*(erf(1/2*sqrt(-(2*b*d*x + b*c + a*d)^2/(b*d))) - 1)/((b*d)^(3/2)*sqrt(-(2*b*d*x + b*c + a*d)^2/(b*d))) - 2*b*d*e^(1/4*(2*b*d*x + b*c + a*d)^2/(b*d))/(b*d)^(3/2))*e^(a*c - 1/4*(b*c + a*d)^2/(b*d))/sqrt(b*d)","A",0
441,1,58,0,0.850786," ","integrate(exp((b*x+a)*(d*x+c)),x, algorithm=""maxima"")","\frac{\sqrt{\pi} \operatorname{erf}\left(\sqrt{-b d} x - \frac{b c + a d}{2 \, \sqrt{-b d}}\right) e^{\left(a c - \frac{{\left(b c + a d\right)}^{2}}{4 \, b d}\right)}}{2 \, \sqrt{-b d}}"," ",0,"1/2*sqrt(pi)*erf(sqrt(-b*d)*x - 1/2*(b*c + a*d)/sqrt(-b*d))*e^(a*c - 1/4*(b*c + a*d)^2/(b*d))/sqrt(-b*d)","A",0
442,0,0,0,0.000000," ","integrate(exp((b*x+a)*(d*x+c))/x,x, algorithm=""maxima"")","\int \frac{e^{\left({\left(b x + a\right)} {\left(d x + c\right)}\right)}}{x}\,{d x}"," ",0,"integrate(e^((b*x + a)*(d*x + c))/x, x)","F",0
443,0,0,0,0.000000," ","integrate(exp((b*x+a)*(d*x+c))/x^2,x, algorithm=""maxima"")","\int \frac{e^{\left({\left(b x + a\right)} {\left(d x + c\right)}\right)}}{x^{2}}\,{d x}"," ",0,"integrate(e^((b*x + a)*(d*x + c))/x^2, x)","F",0
444,1,539,0,2.706467," ","integrate(f^(c*x^2+b*x+a)*(e*x+d)^3,x, algorithm=""maxima"")","-\frac{3 \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}}\right) - 1\right)} \log\left(f\right)^{2}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}} \left(c \log\left(f\right)\right)^{\frac{3}{2}}} - \frac{2 \, c f^{\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}} \log\left(f\right)}{\left(c \log\left(f\right)\right)^{\frac{3}{2}}}\right)} d^{2} e f^{a - \frac{b^{2}}{4 \, c}}}{4 \, \sqrt{c \log\left(f\right)}} + \frac{3 \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{2} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}}\right) - 1\right)} \log\left(f\right)^{3}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}} \left(c \log\left(f\right)\right)^{\frac{5}{2}}} - \frac{4 \, {\left(2 \, c x + b\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{4 \, c}\right) \log\left(f\right)^{3}}{\left(-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}\right)^{\frac{3}{2}} \left(c \log\left(f\right)\right)^{\frac{5}{2}}} - \frac{4 \, b c f^{\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}} \log\left(f\right)^{2}}{\left(c \log\left(f\right)\right)^{\frac{5}{2}}}\right)} d e^{2} f^{a - \frac{b^{2}}{4 \, c}}}{8 \, \sqrt{c \log\left(f\right)}} - \frac{{\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{3} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}}\right) - 1\right)} \log\left(f\right)^{4}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}} \left(c \log\left(f\right)\right)^{\frac{7}{2}}} - \frac{12 \, {\left(2 \, c x + b\right)}^{3} b \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{4 \, c}\right) \log\left(f\right)^{4}}{\left(-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}\right)^{\frac{3}{2}} \left(c \log\left(f\right)\right)^{\frac{7}{2}}} - \frac{6 \, b^{2} c f^{\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}} \log\left(f\right)^{3}}{\left(c \log\left(f\right)\right)^{\frac{7}{2}}} + \frac{8 \, c^{2} \Gamma\left(2, -\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{4 \, c}\right) \log\left(f\right)^{2}}{\left(c \log\left(f\right)\right)^{\frac{7}{2}}}\right)} e^{3} f^{a - \frac{b^{2}}{4 \, c}}}{16 \, \sqrt{c \log\left(f\right)}} + \frac{\sqrt{\pi} d^{3} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x - \frac{b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right)}}\right)}{2 \, \sqrt{-c \log\left(f\right)} f^{\frac{b^{2}}{4 \, c}}}"," ",0,"-3/4*(sqrt(pi)*(2*c*x + b)*b*(erf(1/2*sqrt(-(2*c*x + b)^2*log(f)/c)) - 1)*log(f)^2/(sqrt(-(2*c*x + b)^2*log(f)/c)*(c*log(f))^(3/2)) - 2*c*f^(1/4*(2*c*x + b)^2/c)*log(f)/(c*log(f))^(3/2))*d^2*e*f^(a - 1/4*b^2/c)/sqrt(c*log(f)) + 3/8*(sqrt(pi)*(2*c*x + b)*b^2*(erf(1/2*sqrt(-(2*c*x + b)^2*log(f)/c)) - 1)*log(f)^3/(sqrt(-(2*c*x + b)^2*log(f)/c)*(c*log(f))^(5/2)) - 4*(2*c*x + b)^3*gamma(3/2, -1/4*(2*c*x + b)^2*log(f)/c)*log(f)^3/((-(2*c*x + b)^2*log(f)/c)^(3/2)*(c*log(f))^(5/2)) - 4*b*c*f^(1/4*(2*c*x + b)^2/c)*log(f)^2/(c*log(f))^(5/2))*d*e^2*f^(a - 1/4*b^2/c)/sqrt(c*log(f)) - 1/16*(sqrt(pi)*(2*c*x + b)*b^3*(erf(1/2*sqrt(-(2*c*x + b)^2*log(f)/c)) - 1)*log(f)^4/(sqrt(-(2*c*x + b)^2*log(f)/c)*(c*log(f))^(7/2)) - 12*(2*c*x + b)^3*b*gamma(3/2, -1/4*(2*c*x + b)^2*log(f)/c)*log(f)^4/((-(2*c*x + b)^2*log(f)/c)^(3/2)*(c*log(f))^(7/2)) - 6*b^2*c*f^(1/4*(2*c*x + b)^2/c)*log(f)^3/(c*log(f))^(7/2) + 8*c^2*gamma(2, -1/4*(2*c*x + b)^2*log(f)/c)*log(f)^2/(c*log(f))^(7/2))*e^3*f^(a - 1/4*b^2/c)/sqrt(c*log(f)) + 1/2*sqrt(pi)*d^3*f^a*erf(sqrt(-c*log(f))*x - 1/2*b*log(f)/sqrt(-c*log(f)))/(sqrt(-c*log(f))*f^(1/4*b^2/c))","B",0
445,1,332,0,2.067557," ","integrate(f^(c*x^2+b*x+a)*(e*x+d)^2,x, algorithm=""maxima"")","-\frac{{\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}}\right) - 1\right)} \log\left(f\right)^{2}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}} \left(c \log\left(f\right)\right)^{\frac{3}{2}}} - \frac{2 \, c f^{\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}} \log\left(f\right)}{\left(c \log\left(f\right)\right)^{\frac{3}{2}}}\right)} d e f^{a - \frac{b^{2}}{4 \, c}}}{2 \, \sqrt{c \log\left(f\right)}} + \frac{{\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{2} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}}\right) - 1\right)} \log\left(f\right)^{3}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}} \left(c \log\left(f\right)\right)^{\frac{5}{2}}} - \frac{4 \, {\left(2 \, c x + b\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{4 \, c}\right) \log\left(f\right)^{3}}{\left(-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}\right)^{\frac{3}{2}} \left(c \log\left(f\right)\right)^{\frac{5}{2}}} - \frac{4 \, b c f^{\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}} \log\left(f\right)^{2}}{\left(c \log\left(f\right)\right)^{\frac{5}{2}}}\right)} e^{2} f^{a - \frac{b^{2}}{4 \, c}}}{8 \, \sqrt{c \log\left(f\right)}} + \frac{\sqrt{\pi} d^{2} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x - \frac{b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right)}}\right)}{2 \, \sqrt{-c \log\left(f\right)} f^{\frac{b^{2}}{4 \, c}}}"," ",0,"-1/2*(sqrt(pi)*(2*c*x + b)*b*(erf(1/2*sqrt(-(2*c*x + b)^2*log(f)/c)) - 1)*log(f)^2/(sqrt(-(2*c*x + b)^2*log(f)/c)*(c*log(f))^(3/2)) - 2*c*f^(1/4*(2*c*x + b)^2/c)*log(f)/(c*log(f))^(3/2))*d*e*f^(a - 1/4*b^2/c)/sqrt(c*log(f)) + 1/8*(sqrt(pi)*(2*c*x + b)*b^2*(erf(1/2*sqrt(-(2*c*x + b)^2*log(f)/c)) - 1)*log(f)^3/(sqrt(-(2*c*x + b)^2*log(f)/c)*(c*log(f))^(5/2)) - 4*(2*c*x + b)^3*gamma(3/2, -1/4*(2*c*x + b)^2*log(f)/c)*log(f)^3/((-(2*c*x + b)^2*log(f)/c)^(3/2)*(c*log(f))^(5/2)) - 4*b*c*f^(1/4*(2*c*x + b)^2/c)*log(f)^2/(c*log(f))^(5/2))*e^2*f^(a - 1/4*b^2/c)/sqrt(c*log(f)) + 1/2*sqrt(pi)*d^2*f^a*erf(sqrt(-c*log(f))*x - 1/2*b*log(f)/sqrt(-c*log(f)))/(sqrt(-c*log(f))*f^(1/4*b^2/c))","B",0
446,1,160,0,1.416851," ","integrate(f^(c*x^2+b*x+a)*(e*x+d),x, algorithm=""maxima"")","-\frac{{\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}}\right) - 1\right)} \log\left(f\right)^{2}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}} \left(c \log\left(f\right)\right)^{\frac{3}{2}}} - \frac{2 \, c f^{\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}} \log\left(f\right)}{\left(c \log\left(f\right)\right)^{\frac{3}{2}}}\right)} e f^{a - \frac{b^{2}}{4 \, c}}}{4 \, \sqrt{c \log\left(f\right)}} + \frac{\sqrt{\pi} d f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x - \frac{b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right)}}\right)}{2 \, \sqrt{-c \log\left(f\right)} f^{\frac{b^{2}}{4 \, c}}}"," ",0,"-1/4*(sqrt(pi)*(2*c*x + b)*b*(erf(1/2*sqrt(-(2*c*x + b)^2*log(f)/c)) - 1)*log(f)^2/(sqrt(-(2*c*x + b)^2*log(f)/c)*(c*log(f))^(3/2)) - 2*c*f^(1/4*(2*c*x + b)^2/c)*log(f)/(c*log(f))^(3/2))*e*f^(a - 1/4*b^2/c)/sqrt(c*log(f)) + 1/2*sqrt(pi)*d*f^a*erf(sqrt(-c*log(f))*x - 1/2*b*log(f)/sqrt(-c*log(f)))/(sqrt(-c*log(f))*f^(1/4*b^2/c))","B",0
447,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)/(e*x+d),x, algorithm=""maxima"")","\int \frac{f^{c x^{2} + b x + a}}{e x + d}\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)/(e*x + d), x)","F",0
448,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)/(e*x+d)^2,x, algorithm=""maxima"")","\int \frac{f^{c x^{2} + b x + a}}{{\left(e x + d\right)}^{2}}\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)/(e*x + d)^2, x)","F",0
449,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)/(e*x+d)^3,x, algorithm=""maxima"")","\int \frac{f^{c x^{2} + b x + a}}{{\left(e x + d\right)}^{3}}\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)/(e*x + d)^3, x)","F",0
450,1,539,0,2.352119," ","integrate(f^(c*x^2+b*x+a)*(2*c*x+b)^3,x, algorithm=""maxima"")","-\frac{3 \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}}\right) - 1\right)} \log\left(f\right)^{2}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}} \left(c \log\left(f\right)\right)^{\frac{3}{2}}} - \frac{2 \, c f^{\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}} \log\left(f\right)}{\left(c \log\left(f\right)\right)^{\frac{3}{2}}}\right)} b^{2} c f^{a - \frac{b^{2}}{4 \, c}}}{2 \, \sqrt{c \log\left(f\right)}} + \frac{3 \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{2} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}}\right) - 1\right)} \log\left(f\right)^{3}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}} \left(c \log\left(f\right)\right)^{\frac{5}{2}}} - \frac{4 \, {\left(2 \, c x + b\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{4 \, c}\right) \log\left(f\right)^{3}}{\left(-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}\right)^{\frac{3}{2}} \left(c \log\left(f\right)\right)^{\frac{5}{2}}} - \frac{4 \, b c f^{\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}} \log\left(f\right)^{2}}{\left(c \log\left(f\right)\right)^{\frac{5}{2}}}\right)} b c^{2} f^{a - \frac{b^{2}}{4 \, c}}}{2 \, \sqrt{c \log\left(f\right)}} - \frac{{\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{3} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}}\right) - 1\right)} \log\left(f\right)^{4}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}} \left(c \log\left(f\right)\right)^{\frac{7}{2}}} - \frac{12 \, {\left(2 \, c x + b\right)}^{3} b \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{4 \, c}\right) \log\left(f\right)^{4}}{\left(-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}\right)^{\frac{3}{2}} \left(c \log\left(f\right)\right)^{\frac{7}{2}}} - \frac{6 \, b^{2} c f^{\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}} \log\left(f\right)^{3}}{\left(c \log\left(f\right)\right)^{\frac{7}{2}}} + \frac{8 \, c^{2} \Gamma\left(2, -\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{4 \, c}\right) \log\left(f\right)^{2}}{\left(c \log\left(f\right)\right)^{\frac{7}{2}}}\right)} c^{3} f^{a - \frac{b^{2}}{4 \, c}}}{2 \, \sqrt{c \log\left(f\right)}} + \frac{\sqrt{\pi} b^{3} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x - \frac{b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right)}}\right)}{2 \, \sqrt{-c \log\left(f\right)} f^{\frac{b^{2}}{4 \, c}}}"," ",0,"-3/2*(sqrt(pi)*(2*c*x + b)*b*(erf(1/2*sqrt(-(2*c*x + b)^2*log(f)/c)) - 1)*log(f)^2/(sqrt(-(2*c*x + b)^2*log(f)/c)*(c*log(f))^(3/2)) - 2*c*f^(1/4*(2*c*x + b)^2/c)*log(f)/(c*log(f))^(3/2))*b^2*c*f^(a - 1/4*b^2/c)/sqrt(c*log(f)) + 3/2*(sqrt(pi)*(2*c*x + b)*b^2*(erf(1/2*sqrt(-(2*c*x + b)^2*log(f)/c)) - 1)*log(f)^3/(sqrt(-(2*c*x + b)^2*log(f)/c)*(c*log(f))^(5/2)) - 4*(2*c*x + b)^3*gamma(3/2, -1/4*(2*c*x + b)^2*log(f)/c)*log(f)^3/((-(2*c*x + b)^2*log(f)/c)^(3/2)*(c*log(f))^(5/2)) - 4*b*c*f^(1/4*(2*c*x + b)^2/c)*log(f)^2/(c*log(f))^(5/2))*b*c^2*f^(a - 1/4*b^2/c)/sqrt(c*log(f)) - 1/2*(sqrt(pi)*(2*c*x + b)*b^3*(erf(1/2*sqrt(-(2*c*x + b)^2*log(f)/c)) - 1)*log(f)^4/(sqrt(-(2*c*x + b)^2*log(f)/c)*(c*log(f))^(7/2)) - 12*(2*c*x + b)^3*b*gamma(3/2, -1/4*(2*c*x + b)^2*log(f)/c)*log(f)^4/((-(2*c*x + b)^2*log(f)/c)^(3/2)*(c*log(f))^(7/2)) - 6*b^2*c*f^(1/4*(2*c*x + b)^2/c)*log(f)^3/(c*log(f))^(7/2) + 8*c^2*gamma(2, -1/4*(2*c*x + b)^2*log(f)/c)*log(f)^2/(c*log(f))^(7/2))*c^3*f^(a - 1/4*b^2/c)/sqrt(c*log(f)) + 1/2*sqrt(pi)*b^3*f^a*erf(sqrt(-c*log(f))*x - 1/2*b*log(f)/sqrt(-c*log(f)))/(sqrt(-c*log(f))*f^(1/4*b^2/c))","C",0
451,1,332,0,2.058514," ","integrate(f^(c*x^2+b*x+a)*(2*c*x+b)^2,x, algorithm=""maxima"")","-\frac{{\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}}\right) - 1\right)} \log\left(f\right)^{2}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}} \left(c \log\left(f\right)\right)^{\frac{3}{2}}} - \frac{2 \, c f^{\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}} \log\left(f\right)}{\left(c \log\left(f\right)\right)^{\frac{3}{2}}}\right)} b c f^{a - \frac{b^{2}}{4 \, c}}}{\sqrt{c \log\left(f\right)}} + \frac{{\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{2} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}}\right) - 1\right)} \log\left(f\right)^{3}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}} \left(c \log\left(f\right)\right)^{\frac{5}{2}}} - \frac{4 \, {\left(2 \, c x + b\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{4 \, c}\right) \log\left(f\right)^{3}}{\left(-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}\right)^{\frac{3}{2}} \left(c \log\left(f\right)\right)^{\frac{5}{2}}} - \frac{4 \, b c f^{\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}} \log\left(f\right)^{2}}{\left(c \log\left(f\right)\right)^{\frac{5}{2}}}\right)} c^{2} f^{a - \frac{b^{2}}{4 \, c}}}{2 \, \sqrt{c \log\left(f\right)}} + \frac{\sqrt{\pi} b^{2} f^{a} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x - \frac{b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right)}}\right)}{2 \, \sqrt{-c \log\left(f\right)} f^{\frac{b^{2}}{4 \, c}}}"," ",0,"-(sqrt(pi)*(2*c*x + b)*b*(erf(1/2*sqrt(-(2*c*x + b)^2*log(f)/c)) - 1)*log(f)^2/(sqrt(-(2*c*x + b)^2*log(f)/c)*(c*log(f))^(3/2)) - 2*c*f^(1/4*(2*c*x + b)^2/c)*log(f)/(c*log(f))^(3/2))*b*c*f^(a - 1/4*b^2/c)/sqrt(c*log(f)) + 1/2*(sqrt(pi)*(2*c*x + b)*b^2*(erf(1/2*sqrt(-(2*c*x + b)^2*log(f)/c)) - 1)*log(f)^3/(sqrt(-(2*c*x + b)^2*log(f)/c)*(c*log(f))^(5/2)) - 4*(2*c*x + b)^3*gamma(3/2, -1/4*(2*c*x + b)^2*log(f)/c)*log(f)^3/((-(2*c*x + b)^2*log(f)/c)^(3/2)*(c*log(f))^(5/2)) - 4*b*c*f^(1/4*(2*c*x + b)^2/c)*log(f)^2/(c*log(f))^(5/2))*c^2*f^(a - 1/4*b^2/c)/sqrt(c*log(f)) + 1/2*sqrt(pi)*b^2*f^a*erf(sqrt(-c*log(f))*x - 1/2*b*log(f)/sqrt(-c*log(f)))/(sqrt(-c*log(f))*f^(1/4*b^2/c))","B",0
452,1,17,0,0.778170," ","integrate(f^(c*x^2+b*x+a)*(2*c*x+b),x, algorithm=""maxima"")","\frac{f^{c x^{2} + b x + a}}{\log\left(f\right)}"," ",0,"f^(c*x^2 + b*x + a)/log(f)","A",0
453,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)/(2*c*x+b),x, algorithm=""maxima"")","\int \frac{f^{c x^{2} + b x + a}}{2 \, c x + b}\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)/(2*c*x + b), x)","F",0
454,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)/(2*c*x+b)^2,x, algorithm=""maxima"")","\int \frac{f^{c x^{2} + b x + a}}{{\left(2 \, c x + b\right)}^{2}}\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)/(2*c*x + b)^2, x)","F",0
455,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)/(2*c*x+b)^3,x, algorithm=""maxima"")","\int \frac{f^{c x^{2} + b x + a}}{{\left(2 \, c x + b\right)}^{3}}\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x + a)/(2*c*x + b)^3, x)","F",0
456,1,536,0,2.165529," ","integrate(f^(c*x^2+b*x)*(2*c*x+b)^3,x, algorithm=""maxima"")","\frac{\sqrt{\pi} b^{3} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x - \frac{b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right)}}\right)}{2 \, \sqrt{-c \log\left(f\right)} f^{\frac{b^{2}}{4 \, c}}} - \frac{3 \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}}\right) - 1\right)} \log\left(f\right)^{2}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}} \left(c \log\left(f\right)\right)^{\frac{3}{2}}} - \frac{2 \, c f^{\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}} \log\left(f\right)}{\left(c \log\left(f\right)\right)^{\frac{3}{2}}}\right)} b^{2} c}{2 \, \sqrt{c \log\left(f\right)} f^{\frac{b^{2}}{4 \, c}}} + \frac{3 \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{2} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}}\right) - 1\right)} \log\left(f\right)^{3}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}} \left(c \log\left(f\right)\right)^{\frac{5}{2}}} - \frac{4 \, {\left(2 \, c x + b\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{4 \, c}\right) \log\left(f\right)^{3}}{\left(-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}\right)^{\frac{3}{2}} \left(c \log\left(f\right)\right)^{\frac{5}{2}}} - \frac{4 \, b c f^{\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}} \log\left(f\right)^{2}}{\left(c \log\left(f\right)\right)^{\frac{5}{2}}}\right)} b c^{2}}{2 \, \sqrt{c \log\left(f\right)} f^{\frac{b^{2}}{4 \, c}}} - \frac{{\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{3} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}}\right) - 1\right)} \log\left(f\right)^{4}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}} \left(c \log\left(f\right)\right)^{\frac{7}{2}}} - \frac{12 \, {\left(2 \, c x + b\right)}^{3} b \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{4 \, c}\right) \log\left(f\right)^{4}}{\left(-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}\right)^{\frac{3}{2}} \left(c \log\left(f\right)\right)^{\frac{7}{2}}} - \frac{6 \, b^{2} c f^{\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}} \log\left(f\right)^{3}}{\left(c \log\left(f\right)\right)^{\frac{7}{2}}} + \frac{8 \, c^{2} \Gamma\left(2, -\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{4 \, c}\right) \log\left(f\right)^{2}}{\left(c \log\left(f\right)\right)^{\frac{7}{2}}}\right)} c^{3}}{2 \, \sqrt{c \log\left(f\right)} f^{\frac{b^{2}}{4 \, c}}}"," ",0,"1/2*sqrt(pi)*b^3*erf(sqrt(-c*log(f))*x - 1/2*b*log(f)/sqrt(-c*log(f)))/(sqrt(-c*log(f))*f^(1/4*b^2/c)) - 3/2*(sqrt(pi)*(2*c*x + b)*b*(erf(1/2*sqrt(-(2*c*x + b)^2*log(f)/c)) - 1)*log(f)^2/(sqrt(-(2*c*x + b)^2*log(f)/c)*(c*log(f))^(3/2)) - 2*c*f^(1/4*(2*c*x + b)^2/c)*log(f)/(c*log(f))^(3/2))*b^2*c/(sqrt(c*log(f))*f^(1/4*b^2/c)) + 3/2*(sqrt(pi)*(2*c*x + b)*b^2*(erf(1/2*sqrt(-(2*c*x + b)^2*log(f)/c)) - 1)*log(f)^3/(sqrt(-(2*c*x + b)^2*log(f)/c)*(c*log(f))^(5/2)) - 4*(2*c*x + b)^3*gamma(3/2, -1/4*(2*c*x + b)^2*log(f)/c)*log(f)^3/((-(2*c*x + b)^2*log(f)/c)^(3/2)*(c*log(f))^(5/2)) - 4*b*c*f^(1/4*(2*c*x + b)^2/c)*log(f)^2/(c*log(f))^(5/2))*b*c^2/(sqrt(c*log(f))*f^(1/4*b^2/c)) - 1/2*(sqrt(pi)*(2*c*x + b)*b^3*(erf(1/2*sqrt(-(2*c*x + b)^2*log(f)/c)) - 1)*log(f)^4/(sqrt(-(2*c*x + b)^2*log(f)/c)*(c*log(f))^(7/2)) - 12*(2*c*x + b)^3*b*gamma(3/2, -1/4*(2*c*x + b)^2*log(f)/c)*log(f)^4/((-(2*c*x + b)^2*log(f)/c)^(3/2)*(c*log(f))^(7/2)) - 6*b^2*c*f^(1/4*(2*c*x + b)^2/c)*log(f)^3/(c*log(f))^(7/2) + 8*c^2*gamma(2, -1/4*(2*c*x + b)^2*log(f)/c)*log(f)^2/(c*log(f))^(7/2))*c^3/(sqrt(c*log(f))*f^(1/4*b^2/c))","C",0
457,1,329,0,1.039550," ","integrate(f^(c*x^2+b*x)*(2*c*x+b)^2,x, algorithm=""maxima"")","\frac{\sqrt{\pi} b^{2} \operatorname{erf}\left(\sqrt{-c \log\left(f\right)} x - \frac{b \log\left(f\right)}{2 \, \sqrt{-c \log\left(f\right)}}\right)}{2 \, \sqrt{-c \log\left(f\right)} f^{\frac{b^{2}}{4 \, c}}} - \frac{{\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}}\right) - 1\right)} \log\left(f\right)^{2}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}} \left(c \log\left(f\right)\right)^{\frac{3}{2}}} - \frac{2 \, c f^{\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}} \log\left(f\right)}{\left(c \log\left(f\right)\right)^{\frac{3}{2}}}\right)} b c}{\sqrt{c \log\left(f\right)} f^{\frac{b^{2}}{4 \, c}}} + \frac{{\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{2} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}}\right) - 1\right)} \log\left(f\right)^{3}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}} \left(c \log\left(f\right)\right)^{\frac{5}{2}}} - \frac{4 \, {\left(2 \, c x + b\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{4 \, c}\right) \log\left(f\right)^{3}}{\left(-\frac{{\left(2 \, c x + b\right)}^{2} \log\left(f\right)}{c}\right)^{\frac{3}{2}} \left(c \log\left(f\right)\right)^{\frac{5}{2}}} - \frac{4 \, b c f^{\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}} \log\left(f\right)^{2}}{\left(c \log\left(f\right)\right)^{\frac{5}{2}}}\right)} c^{2}}{2 \, \sqrt{c \log\left(f\right)} f^{\frac{b^{2}}{4 \, c}}}"," ",0,"1/2*sqrt(pi)*b^2*erf(sqrt(-c*log(f))*x - 1/2*b*log(f)/sqrt(-c*log(f)))/(sqrt(-c*log(f))*f^(1/4*b^2/c)) - (sqrt(pi)*(2*c*x + b)*b*(erf(1/2*sqrt(-(2*c*x + b)^2*log(f)/c)) - 1)*log(f)^2/(sqrt(-(2*c*x + b)^2*log(f)/c)*(c*log(f))^(3/2)) - 2*c*f^(1/4*(2*c*x + b)^2/c)*log(f)/(c*log(f))^(3/2))*b*c/(sqrt(c*log(f))*f^(1/4*b^2/c)) + 1/2*(sqrt(pi)*(2*c*x + b)*b^2*(erf(1/2*sqrt(-(2*c*x + b)^2*log(f)/c)) - 1)*log(f)^3/(sqrt(-(2*c*x + b)^2*log(f)/c)*(c*log(f))^(5/2)) - 4*(2*c*x + b)^3*gamma(3/2, -1/4*(2*c*x + b)^2*log(f)/c)*log(f)^3/((-(2*c*x + b)^2*log(f)/c)^(3/2)*(c*log(f))^(5/2)) - 4*b*c*f^(1/4*(2*c*x + b)^2/c)*log(f)^2/(c*log(f))^(5/2))*c^2/(sqrt(c*log(f))*f^(1/4*b^2/c))","B",0
458,1,16,0,0.847312," ","integrate(f^(c*x^2+b*x)*(2*c*x+b),x, algorithm=""maxima"")","\frac{f^{c x^{2} + b x}}{\log\left(f\right)}"," ",0,"f^(c*x^2 + b*x)/log(f)","A",0
459,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x)/(2*c*x+b),x, algorithm=""maxima"")","\int \frac{f^{c x^{2} + b x}}{2 \, c x + b}\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x)/(2*c*x + b), x)","F",0
460,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x)/(2*c*x+b)^2,x, algorithm=""maxima"")","\int \frac{f^{c x^{2} + b x}}{{\left(2 \, c x + b\right)}^{2}}\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x)/(2*c*x + b)^2, x)","F",0
461,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x)/(2*c*x+b)^3,x, algorithm=""maxima"")","\int \frac{f^{c x^{2} + b x}}{{\left(2 \, c x + b\right)}^{3}}\,{d x}"," ",0,"integrate(f^(c*x^2 + b*x)/(2*c*x + b)^3, x)","F",0
462,0,0,0,0.000000," ","integrate(exp(b*x+a)/x^2/(d*x^2+c),x, algorithm=""maxima"")","\int \frac{e^{\left(b x + a\right)}}{{\left(d x^{2} + c\right)} x^{2}}\,{d x}"," ",0,"integrate(e^(b*x + a)/((d*x^2 + c)*x^2), x)","F",0
463,0,0,0,0.000000," ","integrate(exp(b*x+a)/x/(d*x^2+c),x, algorithm=""maxima"")","\int \frac{e^{\left(b x + a\right)}}{{\left(d x^{2} + c\right)} x}\,{d x}"," ",0,"integrate(e^(b*x + a)/((d*x^2 + c)*x), x)","F",0
464,0,0,0,0.000000," ","integrate(exp(b*x+a)/(d*x^2+c),x, algorithm=""maxima"")","\int \frac{e^{\left(b x + a\right)}}{d x^{2} + c}\,{d x}"," ",0,"integrate(e^(b*x + a)/(d*x^2 + c), x)","F",0
465,0,0,0,0.000000," ","integrate(exp(b*x+a)*x/(d*x^2+c),x, algorithm=""maxima"")","\frac{x e^{\left(b x + a\right)}}{b d x^{2} + b c} + \int \frac{{\left(d x^{2} e^{a} - c e^{a}\right)} e^{\left(b x\right)}}{b d^{2} x^{4} + 2 \, b c d x^{2} + b c^{2}}\,{d x}"," ",0,"x*e^(b*x + a)/(b*d*x^2 + b*c) + integrate((d*x^2*e^a - c*e^a)*e^(b*x)/(b*d^2*x^4 + 2*b*c*d*x^2 + b*c^2), x)","F",0
466,0,0,0,0.000000," ","integrate(exp(b*x+a)*x^2/(d*x^2+c),x, algorithm=""maxima"")","\frac{x^{2} e^{\left(b x + a\right)}}{b d x^{2} + b c} - 2 \, c \int \frac{x e^{\left(b x + a\right)}}{b d^{2} x^{4} + 2 \, b c d x^{2} + b c^{2}}\,{d x}"," ",0,"x^2*e^(b*x + a)/(b*d*x^2 + b*c) - 2*c*integrate(x*e^(b*x + a)/(b*d^2*x^4 + 2*b*c*d*x^2 + b*c^2), x)","F",0
467,0,0,0,0.000000," ","integrate(exp(e*x+d)/x^2/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{e^{\left(e x + d\right)}}{{\left(c x^{2} + b x + a\right)} x^{2}}\,{d x}"," ",0,"integrate(e^(e*x + d)/((c*x^2 + b*x + a)*x^2), x)","F",0
468,0,0,0,0.000000," ","integrate(exp(e*x+d)/x/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{e^{\left(e x + d\right)}}{{\left(c x^{2} + b x + a\right)} x}\,{d x}"," ",0,"integrate(e^(e*x + d)/((c*x^2 + b*x + a)*x), x)","F",0
469,0,0,0,0.000000," ","integrate(exp(e*x+d)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{e^{\left(e x + d\right)}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate(e^(e*x + d)/(c*x^2 + b*x + a), x)","F",0
470,0,0,0,0.000000," ","integrate(exp(e*x+d)*x/(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{x e^{\left(e x + d\right)}}{c e x^{2} + b e x + a e} + \int \frac{{\left(c x^{2} e^{d} - a e^{d}\right)} e^{\left(e x\right)}}{c^{2} e x^{4} + 2 \, b c e x^{3} + 2 \, a b e x + a^{2} e + {\left(b^{2} e + 2 \, a c e\right)} x^{2}}\,{d x}"," ",0,"x*e^(e*x + d)/(c*e*x^2 + b*e*x + a*e) + integrate((c*x^2*e^d - a*e^d)*e^(e*x)/(c^2*e*x^4 + 2*b*c*e*x^3 + 2*a*b*e*x + a^2*e + (b^2*e + 2*a*c*e)*x^2), x)","F",0
471,0,0,0,0.000000," ","integrate(exp(e*x+d)*x^2/(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{x^{2} e^{\left(e x + d\right)}}{c e x^{2} + b e x + a e} - \int \frac{{\left(b x^{2} e^{d} + 2 \, a x e^{d}\right)} e^{\left(e x\right)}}{c^{2} e x^{4} + 2 \, b c e x^{3} + 2 \, a b e x + a^{2} e + {\left(b^{2} e + 2 \, a c e\right)} x^{2}}\,{d x}"," ",0,"x^2*e^(e*x + d)/(c*e*x^2 + b*e*x + a*e) - integrate((b*x^2*e^d + 2*a*x*e^d)*e^(e*x)/(c^2*e*x^4 + 2*b*c*e*x^3 + 2*a*b*e*x + a^2*e + (b^2*e + 2*a*c*e)*x^2), x)","F",0
472,0,0,0,0.000000," ","integrate(exp(e*x+d)*x^3/(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{{\left(c e x^{3} e^{d} - c x^{2} e^{d} - b x e^{d}\right)} e^{\left(e x\right)}}{c^{2} e^{2} x^{2} + b c e^{2} x + a c e^{2}} - \int -\frac{{\left({\left(b e e^{d} + 2 \, c e^{d}\right)} a x + {\left(b^{2} e e^{d} - 2 \, a c e e^{d}\right)} x^{2} + a b e^{d}\right)} e^{\left(e x\right)}}{c^{3} e^{2} x^{4} + 2 \, b c^{2} e^{2} x^{3} + 2 \, a b c e^{2} x + a^{2} c e^{2} + {\left(b^{2} c e^{2} + 2 \, a c^{2} e^{2}\right)} x^{2}}\,{d x}"," ",0,"(c*e*x^3*e^d - c*x^2*e^d - b*x*e^d)*e^(e*x)/(c^2*e^2*x^2 + b*c*e^2*x + a*c*e^2) - integrate(-((b*e*e^d + 2*c*e^d)*a*x + (b^2*e*e^d - 2*a*c*e*e^d)*x^2 + a*b*e^d)*e^(e*x)/(c^3*e^2*x^4 + 2*b*c^2*e^2*x^3 + 2*a*b*c*e^2*x + a^2*c*e^2 + (b^2*c*e^2 + 2*a*c^2*e^2)*x^2), x)","F",0
473,1,30,0,1.857981," ","integrate(4^x/(a+2^x*b),x, algorithm=""maxima"")","\frac{2^{x}}{b \log\left(2\right)} - \frac{a \log\left(2^{x} b + a\right)}{b^{2} \log\left(2\right)}"," ",0,"2^x/(b*log(2)) - a*log(2^x*b + a)/(b^2*log(2))","A",0
474,1,30,0,0.863531," ","integrate(2^(2*x)/(a+2^x*b),x, algorithm=""maxima"")","\frac{2^{x}}{b \log\left(2\right)} - \frac{a \log\left(2^{x} b + a\right)}{b^{2} \log\left(2\right)}"," ",0,"2^x/(b*log(2)) - a*log(2^x*b + a)/(b^2*log(2))","A",0
475,1,33,0,1.655464," ","integrate(4^x/(a-2^x*b),x, algorithm=""maxima"")","-\frac{2^{x}}{b \log\left(2\right)} - \frac{a \log\left(2^{x} b - a\right)}{b^{2} \log\left(2\right)}"," ",0,"-2^x/(b*log(2)) - a*log(2^x*b - a)/(b^2*log(2))","A",0
476,1,33,0,0.780293," ","integrate(2^(2*x)/(a-2^x*b),x, algorithm=""maxima"")","-\frac{2^{x}}{b \log\left(2\right)} - \frac{a \log\left(2^{x} b - a\right)}{b^{2} \log\left(2\right)}"," ",0,"-2^x/(b*log(2)) - a*log(2^x*b - a)/(b^2*log(2))","A",0
477,1,59,0,2.100322," ","integrate(4^x/(a+b/(2^x)),x, algorithm=""maxima"")","\frac{b^{2} x}{a^{3}} - \frac{{\left(2^{-x + 1} b - a\right)} 2^{2 \, x - 1}}{a^{2} \log\left(2\right)} + \frac{b^{2} \log\left(a + \frac{b}{2^{x}}\right)}{a^{3} \log\left(2\right)}"," ",0,"b^2*x/a^3 - (2^(-x + 1)*b - a)*2^(2*x - 1)/(a^2*log(2)) + b^2*log(a + b/2^x)/(a^3*log(2))","A",0
478,1,59,0,0.788432," ","integrate(2^(2*x)/(a+b/(2^x)),x, algorithm=""maxima"")","\frac{b^{2} x}{a^{3}} - \frac{{\left(2^{-x + 1} b - a\right)} 2^{2 \, x - 1}}{a^{2} \log\left(2\right)} + \frac{b^{2} \log\left(a + \frac{b}{2^{x}}\right)}{a^{3} \log\left(2\right)}"," ",0,"b^2*x/a^3 - (2^(-x + 1)*b - a)*2^(2*x - 1)/(a^2*log(2)) + b^2*log(a + b/2^x)/(a^3*log(2))","A",0
479,1,58,0,1.942725," ","integrate(4^x/(a-b/(2^x)),x, algorithm=""maxima"")","\frac{b^{2} x}{a^{3}} + \frac{{\left(2^{-x + 1} b + a\right)} 2^{2 \, x - 1}}{a^{2} \log\left(2\right)} + \frac{b^{2} \log\left(-a + \frac{b}{2^{x}}\right)}{a^{3} \log\left(2\right)}"," ",0,"b^2*x/a^3 + (2^(-x + 1)*b + a)*2^(2*x - 1)/(a^2*log(2)) + b^2*log(-a + b/2^x)/(a^3*log(2))","A",0
480,1,58,0,0.849142," ","integrate(2^(2*x)/(a-b/(2^x)),x, algorithm=""maxima"")","\frac{b^{2} x}{a^{3}} + \frac{{\left(2^{-x + 1} b + a\right)} 2^{2 \, x - 1}}{a^{2} \log\left(2\right)} + \frac{b^{2} \log\left(-a + \frac{b}{2^{x}}\right)}{a^{3} \log\left(2\right)}"," ",0,"b^2*x/a^3 + (2^(-x + 1)*b + a)*2^(2*x - 1)/(a^2*log(2)) + b^2*log(-a + b/2^x)/(a^3*log(2))","A",0
481,1,21,0,1.518816," ","integrate(2^x/(a+4^x*b),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{2^{x} b}{\sqrt{a b}}\right)}{\sqrt{a b} \log\left(2\right)}"," ",0,"arctan(2^x*b/sqrt(a*b))/(sqrt(a*b)*log(2))","A",0
482,1,21,0,2.073890," ","integrate(2^x/(a+2^(2*x)*b),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{2^{x} b}{\sqrt{a b}}\right)}{\sqrt{a b} \log\left(2\right)}"," ",0,"arctan(2^x*b/sqrt(a*b))/(sqrt(a*b)*log(2))","A",0
483,1,45,0,2.053417," ","integrate(2^x/(a-4^x*b),x, algorithm=""maxima"")","-\frac{\log\left(\frac{2^{x + 1} b - 2 \, \sqrt{a b}}{2^{x + 1} b + 2 \, \sqrt{a b}}\right)}{2 \, \sqrt{a b} \log\left(2\right)}"," ",0,"-1/2*log((2^(x + 1)*b - 2*sqrt(a*b))/(2^(x + 1)*b + 2*sqrt(a*b)))/(sqrt(a*b)*log(2))","B",0
484,1,45,0,1.869892," ","integrate(2^x/(a-2^(2*x)*b),x, algorithm=""maxima"")","-\frac{\log\left(\frac{2^{x + 1} b - 2 \, \sqrt{a b}}{2^{x + 1} b + 2 \, \sqrt{a b}}\right)}{2 \, \sqrt{a b} \log\left(2\right)}"," ",0,"-1/2*log((2^(x + 1)*b - 2*sqrt(a*b))/(2^(x + 1)*b + 2*sqrt(a*b)))/(sqrt(a*b)*log(2))","B",0
485,1,68,0,1.984828," ","integrate(2^x/(a+b/(4^x)),x, algorithm=""maxima"")","\frac{b \arctan\left(\frac{b}{\sqrt{a b} 2^{x}}\right)}{\sqrt{a b} a \log\left(2\right)} + \frac{4^{\frac{1}{2} \, x} a + \frac{b}{4^{\frac{1}{2} \, x}}}{a^{2} \log\left(2\right)} - \frac{b}{2^{x} a^{2} \log\left(2\right)}"," ",0,"b*arctan(b/(sqrt(a*b)*2^x))/(sqrt(a*b)*a*log(2)) + (4^(1/2*x)*a + b/4^(1/2*x))/(a^2*log(2)) - b/(2^x*a^2*log(2))","A",0
486,1,39,0,1.872172," ","integrate(2^x/(a+b/(2^(2*x))),x, algorithm=""maxima"")","\frac{b \arctan\left(\frac{b}{\sqrt{a b} 2^{x}}\right)}{\sqrt{a b} a \log\left(2\right)} + \frac{2^{x}}{a \log\left(2\right)}"," ",0,"b*arctan(b/(sqrt(a*b)*2^x))/(sqrt(a*b)*a*log(2)) + 2^x/(a*log(2))","A",0
487,1,88,0,2.161750," ","integrate(2^x/(a-b/(4^x)),x, algorithm=""maxima"")","\frac{b \log\left(-\frac{\sqrt{a b} - \frac{b}{2^{x}}}{\sqrt{a b} + \frac{b}{2^{x}}}\right)}{2 \, \sqrt{a b} a \log\left(2\right)} + \frac{4^{\frac{1}{2} \, x} a - \frac{b}{4^{\frac{1}{2} \, x}}}{a^{2} \log\left(2\right)} + \frac{b}{2^{x} a^{2} \log\left(2\right)}"," ",0,"1/2*b*log(-(sqrt(a*b) - b/2^x)/(sqrt(a*b) + b/2^x))/(sqrt(a*b)*a*log(2)) + (4^(1/2*x)*a - b/4^(1/2*x))/(a^2*log(2)) + b/(2^x*a^2*log(2))","B",0
488,1,65,0,2.019289," ","integrate(2^x/(a-b/(2^(2*x))),x, algorithm=""maxima"")","\frac{b \log\left(\frac{2^{-x + 1} b - 2 \, \sqrt{a b}}{2^{-x + 1} b + 2 \, \sqrt{a b}}\right)}{2 \, \sqrt{a b} a \log\left(2\right)} + \frac{2^{x}}{a \log\left(2\right)}"," ",0,"1/2*b*log((2^(-x + 1)*b - 2*sqrt(a*b))/(2^(-x + 1)*b + 2*sqrt(a*b)))/(sqrt(a*b)*a*log(2)) + 2^x/(a*log(2))","A",0
489,0,0,0,0.000000," ","integrate(2^x/(a+4^x*b)^(1/2),x, algorithm=""maxima"")","\int \frac{2^{x}}{\sqrt{4^{x} b + a}}\,{d x}"," ",0,"integrate(2^x/sqrt(4^x*b + a), x)","F",0
490,1,22,0,0.777567," ","integrate(2^x/(a+2^(2*x)*b)^(1/2),x, algorithm=""maxima"")","\frac{\operatorname{arsinh}\left(\frac{2^{x + 1} b}{2 \, \sqrt{a b}}\right)}{\sqrt{b} \log\left(2\right)}"," ",0,"arcsinh(1/2*2^(x + 1)*b/sqrt(a*b))/(sqrt(b)*log(2))","A",0
491,0,0,0,0.000000," ","integrate(2^x/(a-4^x*b)^(1/2),x, algorithm=""maxima"")","\int \frac{2^{x}}{\sqrt{-4^{x} b + a}}\,{d x}"," ",0,"integrate(2^x/sqrt(-4^x*b + a), x)","F",0
492,1,22,0,1.884193," ","integrate(2^x/(a-2^(2*x)*b)^(1/2),x, algorithm=""maxima"")","\frac{\arcsin\left(\frac{2^{x + 1} b}{2 \, \sqrt{a b}}\right)}{\sqrt{b} \log\left(2\right)}"," ",0,"arcsin(1/2*2^(x + 1)*b/sqrt(a*b))/(sqrt(b)*log(2))","A",0
493,1,19,0,2.485920," ","integrate(2^x/(a+b/(4^x))^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{2^{2 \, x} a + b}}{a \log\left(2\right)}"," ",0,"sqrt(2^(2*x)*a + b)/(a*log(2))","A",0
494,1,24,0,0.596331," ","integrate(2^x/(a+b/(2^(2*x)))^(1/2),x, algorithm=""maxima"")","\frac{2^{x} \sqrt{a + \frac{b}{2^{2 \, x}}}}{a \log\left(2\right)}"," ",0,"2^x*sqrt(a + b/2^(2*x))/(a*log(2))","A",0
495,1,21,0,2.028578," ","integrate(2^x/(a-b/(4^x))^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{2^{2 \, x} a - b}}{a \log\left(2\right)}"," ",0,"sqrt(2^(2*x)*a - b)/(a*log(2))","A",0
496,1,25,0,1.159213," ","integrate(2^x/(a-b/(2^(2*x)))^(1/2),x, algorithm=""maxima"")","\frac{2^{x} \sqrt{a - \frac{b}{2^{2 \, x}}}}{a \log\left(2\right)}"," ",0,"2^x*sqrt(a - b/2^(2*x))/(a*log(2))","A",0
497,1,68,0,1.785442," ","integrate(4^x/(a+2^x*b)^(1/2),x, algorithm=""maxima"")","\frac{2^{2 \, x + 1}}{3 \, \sqrt{2^{x} b + a} \log\left(2\right)} - \frac{2^{x + 1} a}{3 \, \sqrt{2^{x} b + a} b \log\left(2\right)} - \frac{4 \, a^{2}}{3 \, \sqrt{2^{x} b + a} b^{2} \log\left(2\right)}"," ",0,"1/3*2^(2*x + 1)/(sqrt(2^x*b + a)*log(2)) - 1/3*2^(x + 1)*a/(sqrt(2^x*b + a)*b*log(2)) - 4/3*a^2/(sqrt(2^x*b + a)*b^2*log(2))","A",0
498,1,38,0,0.831032," ","integrate(2^(2*x)/(a+2^x*b)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(2^{x} b + a\right)}^{\frac{3}{2}}}{3 \, b^{2} \log\left(2\right)} - \frac{2 \, \sqrt{2^{x} b + a} a}{b^{2} \log\left(2\right)}"," ",0,"2/3*(2^x*b + a)^(3/2)/(b^2*log(2)) - 2*sqrt(2^x*b + a)*a/(b^2*log(2))","A",0
499,1,71,0,2.106186," ","integrate(4^x/(a-2^x*b)^(1/2),x, algorithm=""maxima"")","\frac{2^{2 \, x + 1}}{3 \, \sqrt{-2^{x} b + a} \log\left(2\right)} + \frac{2^{x + 1} a}{3 \, \sqrt{-2^{x} b + a} b \log\left(2\right)} - \frac{4 \, a^{2}}{3 \, \sqrt{-2^{x} b + a} b^{2} \log\left(2\right)}"," ",0,"1/3*2^(2*x + 1)/(sqrt(-2^x*b + a)*log(2)) + 1/3*2^(x + 1)*a/(sqrt(-2^x*b + a)*b*log(2)) - 4/3*a^2/(sqrt(-2^x*b + a)*b^2*log(2))","A",0
500,1,40,0,0.971686," ","integrate(2^(2*x)/(a-2^x*b)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(-2^{x} b + a\right)}^{\frac{3}{2}}}{3 \, b^{2} \log\left(2\right)} - \frac{2 \, \sqrt{-2^{x} b + a} a}{b^{2} \log\left(2\right)}"," ",0,"2/3*(-2^x*b + a)^(3/2)/(b^2*log(2)) - 2*sqrt(-2^x*b + a)*a/(b^2*log(2))","A",0
501,0,0,0,0.000000," ","integrate(4^x/(a+b/(2^x))^(1/2),x, algorithm=""maxima"")","\int \frac{4^{x}}{\sqrt{a + \frac{b}{2^{x}}}}\,{d x}"," ",0,"integrate(4^x/sqrt(a + b/2^x), x)","F",0
502,1,124,0,2.044649," ","integrate(2^(2*x)/(a+b/(2^x))^(1/2),x, algorithm=""maxima"")","-\frac{3 \, b^{2} \log\left(\frac{\sqrt{a + \frac{b}{2^{x}}} - \sqrt{a}}{\sqrt{a + \frac{b}{2^{x}}} + \sqrt{a}}\right)}{8 \, a^{\frac{5}{2}} \log\left(2\right)} - \frac{3 \, {\left(a + \frac{b}{2^{x}}\right)}^{\frac{3}{2}} b^{2} - 5 \, \sqrt{a + \frac{b}{2^{x}}} a b^{2}}{4 \, {\left({\left(a + \frac{b}{2^{x}}\right)}^{2} a^{2} - 2 \, {\left(a + \frac{b}{2^{x}}\right)} a^{3} + a^{4}\right)} \log\left(2\right)}"," ",0,"-3/8*b^2*log((sqrt(a + b/2^x) - sqrt(a))/(sqrt(a + b/2^x) + sqrt(a)))/(a^(5/2)*log(2)) - 1/4*(3*(a + b/2^x)^(3/2)*b^2 - 5*sqrt(a + b/2^x)*a*b^2)/(((a + b/2^x)^2*a^2 - 2*(a + b/2^x)*a^3 + a^4)*log(2))","A",0
503,0,0,0,0.000000," ","integrate(4^x/(a-b/(2^x))^(1/2),x, algorithm=""maxima"")","\int \frac{4^{x}}{\sqrt{a - \frac{b}{2^{x}}}}\,{d x}"," ",0,"integrate(4^x/sqrt(a - b/2^x), x)","F",0
504,1,130,0,1.956705," ","integrate(2^(2*x)/(a-b/(2^x))^(1/2),x, algorithm=""maxima"")","-\frac{3 \, b^{2} \log\left(\frac{\sqrt{a - \frac{b}{2^{x}}} - \sqrt{a}}{\sqrt{a - \frac{b}{2^{x}}} + \sqrt{a}}\right)}{8 \, a^{\frac{5}{2}} \log\left(2\right)} - \frac{3 \, {\left(a - \frac{b}{2^{x}}\right)}^{\frac{3}{2}} b^{2} - 5 \, \sqrt{a - \frac{b}{2^{x}}} a b^{2}}{4 \, {\left({\left(a - \frac{b}{2^{x}}\right)}^{2} a^{2} - 2 \, {\left(a - \frac{b}{2^{x}}\right)} a^{3} + a^{4}\right)} \log\left(2\right)}"," ",0,"-3/8*b^2*log((sqrt(a - b/2^x) - sqrt(a))/(sqrt(a - b/2^x) + sqrt(a)))/(a^(5/2)*log(2)) - 1/4*(3*(a - b/2^x)^(3/2)*b^2 - 5*sqrt(a - b/2^x)*a*b^2)/(((a - b/2^x)^2*a^2 - 2*(a - b/2^x)*a^3 + a^4)*log(2))","A",0
505,1,15,0,0.588836," ","integrate(1/(1+2*exp(x)+exp(2*x)),x, algorithm=""maxima"")","x + \frac{1}{e^{x} + 1} - \log\left(e^{x} + 1\right)"," ",0,"x + 1/(e^x + 1) - log(e^x + 1)","A",0
506,1,18,0,0.836250," ","integrate(1/(2+3*exp(x)+exp(2*x)),x, algorithm=""maxima"")","\frac{1}{2} \, x + \frac{1}{2} \, \log\left(e^{x} + 2\right) - \log\left(e^{x} + 1\right)"," ",0,"1/2*x + 1/2*log(e^x + 2) - log(e^x + 1)","A",0
507,1,43,0,1.858614," ","integrate(1/(-1+exp(x)+exp(2*x)),x, algorithm=""maxima"")","\frac{1}{10} \, \sqrt{5} \log\left(-\frac{\sqrt{5} - 2 \, e^{x} - 1}{\sqrt{5} + 2 \, e^{x} + 1}\right) - x + \frac{1}{2} \, \log\left(e^{\left(2 \, x\right)} + e^{x} - 1\right)"," ",0,"1/10*sqrt(5)*log(-(sqrt(5) - 2*e^x - 1)/(sqrt(5) + 2*e^x + 1)) - x + 1/2*log(e^(2*x) + e^x - 1)","A",0
508,1,34,0,2.023403," ","integrate(1/(3+3*exp(x)+exp(2*x)),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, e^{x} + 3\right)}\right) + \frac{1}{3} \, x - \frac{1}{6} \, \log\left(e^{\left(2 \, x\right)} + 3 \, e^{x} + 3\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*e^x + 3)) + 1/3*x - 1/6*log(e^(2*x) + 3*e^x + 3)","A",0
509,-2,0,0,0.000000," ","integrate(1/(a+b*exp(x)+c*exp(2*x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
510,1,37,0,0.777340," ","integrate(x/(1+2*exp(x)+exp(2*x)),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - x \log\left(e^{x} + 1\right) - x + \frac{x}{e^{x} + 1} - {\rm Li}_2\left(-e^{x}\right) + \log\left(e^{x} + 1\right)"," ",0,"1/2*x^2 - x*log(e^x + 1) - x + x/(e^x + 1) - dilog(-e^x) + log(e^x + 1)","A",0
511,1,38,0,0.898387," ","integrate(x/(2+3*exp(x)+exp(2*x)),x, algorithm=""maxima"")","\frac{1}{4} \, x^{2} - x \log\left(e^{x} + 1\right) + \frac{1}{2} \, x \log\left(\frac{1}{2} \, e^{x} + 1\right) + \frac{1}{2} \, {\rm Li}_2\left(-\frac{1}{2} \, e^{x}\right) - {\rm Li}_2\left(-e^{x}\right)"," ",0,"1/4*x^2 - x*log(e^x + 1) + 1/2*x*log(1/2*e^x + 1) + 1/2*dilog(-1/2*e^x) - dilog(-e^x)","A",0
512,0,0,0,0.000000," ","integrate(x/(-1+exp(x)+exp(2*x)),x, algorithm=""maxima"")","\int \frac{x}{e^{\left(2 \, x\right)} + e^{x} - 1}\,{d x}"," ",0,"integrate(x/(e^(2*x) + e^x - 1), x)","F",0
513,0,0,0,0.000000," ","integrate(x/(3+3*exp(x)+exp(2*x)),x, algorithm=""maxima"")","\int \frac{x}{e^{\left(2 \, x\right)} + 3 \, e^{x} + 3}\,{d x}"," ",0,"integrate(x/(e^(2*x) + 3*e^x + 3), x)","F",0
514,-2,0,0,0.000000," ","integrate(x/(a+b*exp(x)+c*exp(2*x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
515,1,62,0,0.913128," ","integrate(x^2/(1+2*exp(x)+exp(2*x)),x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} - x^{2} \log\left(e^{x} + 1\right) - x^{2} - 2 \, x {\rm Li}_2\left(-e^{x}\right) + 2 \, x \log\left(e^{x} + 1\right) + \frac{x^{2}}{e^{x} + 1} + 2 \, {\rm Li}_2\left(-e^{x}\right) + 2 \, {\rm Li}_{3}(-e^{x})"," ",0,"1/3*x^3 - x^2*log(e^x + 1) - x^2 - 2*x*dilog(-e^x) + 2*x*log(e^x + 1) + x^2/(e^x + 1) + 2*dilog(-e^x) + 2*polylog(3, -e^x)","A",0
516,1,59,0,0.925746," ","integrate(x^2/(2+3*exp(x)+exp(2*x)),x, algorithm=""maxima"")","\frac{1}{6} \, x^{3} - x^{2} \log\left(e^{x} + 1\right) + \frac{1}{2} \, x^{2} \log\left(\frac{1}{2} \, e^{x} + 1\right) + x {\rm Li}_2\left(-\frac{1}{2} \, e^{x}\right) - 2 \, x {\rm Li}_2\left(-e^{x}\right) - {\rm Li}_{3}(-\frac{1}{2} \, e^{x}) + 2 \, {\rm Li}_{3}(-e^{x})"," ",0,"1/6*x^3 - x^2*log(e^x + 1) + 1/2*x^2*log(1/2*e^x + 1) + x*dilog(-1/2*e^x) - 2*x*dilog(-e^x) - polylog(3, -1/2*e^x) + 2*polylog(3, -e^x)","A",0
517,0,0,0,0.000000," ","integrate(x^2/(-1+exp(x)+exp(2*x)),x, algorithm=""maxima"")","\int \frac{x^{2}}{e^{\left(2 \, x\right)} + e^{x} - 1}\,{d x}"," ",0,"integrate(x^2/(e^(2*x) + e^x - 1), x)","F",0
518,0,0,0,0.000000," ","integrate(x^2/(3+3*exp(x)+exp(2*x)),x, algorithm=""maxima"")","\int \frac{x^{2}}{e^{\left(2 \, x\right)} + 3 \, e^{x} + 3}\,{d x}"," ",0,"integrate(x^2/(e^(2*x) + 3*e^x + 3), x)","F",0
519,-2,0,0,0.000000," ","integrate(x^2/(a+b*exp(x)+c*exp(2*x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
520,1,48,0,0.973068," ","integrate(1/(1+2*f^(d*x+c)+f^(2*d*x+2*c)),x, algorithm=""maxima"")","\frac{d x + c}{d} - \frac{\log\left(f^{d x + c} + 1\right)}{d \log\left(f\right)} + \frac{1}{d {\left(f^{d x + c} + 1\right)} \log\left(f\right)}"," ",0,"(d*x + c)/d - log(f^(d*x + c) + 1)/(d*log(f)) + 1/(d*(f^(d*x + c) + 1)*log(f))","A",0
521,-2,0,0,0.000000," ","integrate(1/(a+b*f^(d*x+c)+c*f^(2*d*x+2*c)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
522,-2,0,0,0.000000," ","integrate(1/(a+b*f^(h*x+g)+c*f^(2*h*x+2*g)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
523,1,95,0,1.041435," ","integrate(x/(1+2*f^(d*x+c)+f^(2*d*x+2*c)),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} + \frac{x}{d f^{d x} f^{c} \log\left(f\right) + d \log\left(f\right)} - \frac{x}{d \log\left(f\right)} - \frac{d x \log\left(f^{d x} f^{c} + 1\right) \log\left(f\right) + {\rm Li}_2\left(-f^{d x} f^{c}\right)}{d^{2} \log\left(f\right)^{2}} + \frac{\log\left(f^{d x} f^{c} + 1\right)}{d^{2} \log\left(f\right)^{2}}"," ",0,"1/2*x^2 + x/(d*f^(d*x)*f^c*log(f) + d*log(f)) - x/(d*log(f)) - (d*x*log(f^(d*x)*f^c + 1)*log(f) + dilog(-f^(d*x)*f^c))/(d^2*log(f)^2) + log(f^(d*x)*f^c + 1)/(d^2*log(f)^2)","A",0
524,-2,0,0,0.000000," ","integrate(x/(a+b*f^(d*x+c)+c*f^(2*d*x+2*c)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
525,1,159,0,1.060548," ","integrate(x^2/(1+2*f^(d*x+c)+f^(2*d*x+2*c)),x, algorithm=""maxima"")","\frac{x^{2}}{d f^{d x} f^{c} \log\left(f\right) + d \log\left(f\right)} + \frac{d^{3} x^{3} \log\left(f\right)^{3} - 3 \, d^{2} x^{2} \log\left(f\right)^{2}}{3 \, d^{3} \log\left(f\right)^{3}} - \frac{d^{2} x^{2} \log\left(f^{d x} f^{c} + 1\right) \log\left(f\right)^{2} + 2 \, d x {\rm Li}_2\left(-f^{d x} f^{c}\right) \log\left(f\right) - 2 \, {\rm Li}_{3}(-f^{d x} f^{c})}{d^{3} \log\left(f\right)^{3}} + \frac{2 \, {\left(d x \log\left(f^{d x} f^{c} + 1\right) \log\left(f\right) + {\rm Li}_2\left(-f^{d x} f^{c}\right)\right)}}{d^{3} \log\left(f\right)^{3}}"," ",0,"x^2/(d*f^(d*x)*f^c*log(f) + d*log(f)) + 1/3*(d^3*x^3*log(f)^3 - 3*d^2*x^2*log(f)^2)/(d^3*log(f)^3) - (d^2*x^2*log(f^(d*x)*f^c + 1)*log(f)^2 + 2*d*x*dilog(-f^(d*x)*f^c)*log(f) - 2*polylog(3, -f^(d*x)*f^c))/(d^3*log(f)^3) + 2*(d*x*log(f^(d*x)*f^c + 1)*log(f) + dilog(-f^(d*x)*f^c))/(d^3*log(f)^3)","A",0
526,-2,0,0,0.000000," ","integrate(x^2/(a+b*f^(d*x+c)+c*f^(2*d*x+2*c)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
527,-2,0,0,0.000000," ","integrate((d+e*f^(h*x+g))/(a+b*f^(h*x+g)+c*f^(2*h*x+2*g)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
528,-2,0,0,0.000000," ","integrate((d+e*f^(h*x+g))/(a+b*f^(h*x+g)+c*f^(2*h*x+2*g)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
529,1,8,0,1.023170," ","integrate(1/(2+exp(-x)+exp(x)),x, algorithm=""maxima"")","\frac{1}{e^{\left(-x\right)} + 1}"," ",0,"1/(e^(-x) + 1)","A",0
530,1,18,0,1.107084," ","integrate(x/(2+exp(-x)+exp(x)),x, algorithm=""maxima"")","\frac{x e^{x}}{e^{x} + 1} - \log\left(e^{x} + 1\right)"," ",0,"x*e^x/(e^x + 1) - log(e^x + 1)","A",0
531,1,30,0,0.895952," ","integrate(x^2/(2+exp(-x)+exp(x)),x, algorithm=""maxima"")","x^{2} - 2 \, x \log\left(e^{x} + 1\right) - \frac{x^{2}}{e^{x} + 1} - 2 \, {\rm Li}_2\left(-e^{x}\right)"," ",0,"x^2 - 2*x*log(e^x + 1) - x^2/(e^x + 1) - 2*dilog(-e^x)","A",0
532,1,22,0,0.930722," ","integrate(1/(2+f^(-d*x-c)+f^(d*x+c)),x, algorithm=""maxima"")","\frac{1}{d {\left(f^{-d x - c} + 1\right)} \log\left(f\right)}"," ",0,"1/(d*(f^(-d*x - c) + 1)*log(f))","A",0
533,1,57,0,1.264632," ","integrate(x/(2+f^(-d*x-c)+f^(d*x+c)),x, algorithm=""maxima"")","\frac{f^{d x} f^{c} x}{d f^{d x} f^{c} \log\left(f\right) + d \log\left(f\right)} - \frac{\log\left(\frac{f^{d x} f^{c} + 1}{f^{c}}\right)}{d^{2} \log\left(f\right)^{2}}"," ",0,"f^(d*x)*f^c*x/(d*f^(d*x)*f^c*log(f) + d*log(f)) - log((f^(d*x)*f^c + 1)/f^c)/(d^2*log(f)^2)","A",0
534,1,74,0,1.265782," ","integrate(x^2/(2+f^(-d*x-c)+f^(d*x+c)),x, algorithm=""maxima"")","-\frac{x^{2}}{d f^{d x} f^{c} \log\left(f\right) + d \log\left(f\right)} + \frac{x^{2}}{d \log\left(f\right)} - \frac{2 \, {\left(d x \log\left(f^{d x} f^{c} + 1\right) \log\left(f\right) + {\rm Li}_2\left(-f^{d x} f^{c}\right)\right)}}{d^{3} \log\left(f\right)^{3}}"," ",0,"-x^2/(d*f^(d*x)*f^c*log(f) + d*log(f)) + x^2/(d*log(f)) - 2*(d*x*log(f^(d*x)*f^c + 1)*log(f) + dilog(-f^(d*x)*f^c))/(d^3*log(f)^3)","A",0
535,1,14,0,1.090622," ","integrate(1/(2+1/(3^x)+3^x),x, algorithm=""maxima"")","\frac{1}{{\left(\frac{1}{3^{x}} + 1\right)} \log\left(3\right)}"," ",0,"1/((1/3^x + 1)*log(3))","A",0
536,1,19,0,1.044912," ","integrate(1/(1-1/exp(x)+2*exp(x)),x, algorithm=""maxima"")","-\frac{1}{3} \, \log\left(e^{\left(-x\right)} + 1\right) + \frac{1}{3} \, \log\left(e^{\left(-x\right)} - 2\right)"," ",0,"-1/3*log(e^(-x) + 1) + 1/3*log(e^(-x) - 2)","A",0
537,-2,0,0,0.000000," ","integrate(1/(a+b/exp(x)+c*exp(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b*c-a^2>0)', see `assume?` for more details)Is 4*b*c-a^2 positive or negative?","F(-2)",0
538,-2,0,0,0.000000," ","integrate(x/(a+b/exp(x)+c*exp(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a^2-4*b*c>0)', see `assume?` for more details)Is a^2-4*b*c positive or negative?","F(-2)",0
539,-2,0,0,0.000000," ","integrate(x^2/(a+b/exp(x)+c*exp(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a^2-4*b*c>0)', see `assume?` for more details)Is a^2-4*b*c positive or negative?","F(-2)",0
540,-2,0,0,0.000000," ","integrate(1/(a+b*f^(-d*x-c)+c*f^(d*x+c)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*b*c-a^2>0)', see `assume?` for more details)Is 4*b*c-a^2 positive or negative?","F(-2)",0
541,-2,0,0,0.000000," ","integrate(x/(a+b*f^(-d*x-c)+c*f^(d*x+c)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a^2-4*b*c>0)', see `assume?` for more details)Is a^2-4*b*c positive or negative?","F(-2)",0
542,-2,0,0,0.000000," ","integrate(x^2/(a+b*f^(-d*x-c)+c*f^(d*x+c)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a^2-4*b*c>0)', see `assume?` for more details)Is a^2-4*b*c positive or negative?","F(-2)",0
543,0,0,0,0.000000," ","integrate((a+b*F^(c*(e*x+d)^(1/2)/(g*x+f)^(1/2)))^n/(d*f+(d*g+e*f)*x+e*g*x^2),x, algorithm=""maxima"")","\int \frac{{\left(F^{\frac{\sqrt{e x + d} c}{\sqrt{g x + f}}} b + a\right)}^{n}}{e g x^{2} + d f + {\left(e f + d g\right)} x}\,{d x}"," ",0,"integrate((F^(sqrt(e*x + d)*c/sqrt(g*x + f))*b + a)^n/(e*g*x^2 + d*f + (e*f + d*g)*x), x)","F",0
544,0,0,0,0.000000," ","integrate((a+b*F^(c*(e*x+d)^(1/2)/(g*x+f)^(1/2)))^3/(d*f+(d*g+e*f)*x+e*g*x^2),x, algorithm=""maxima"")","a^{3} {\left(\frac{\log\left(e x + d\right)}{e f - d g} - \frac{\log\left(g x + f\right)}{e f - d g}\right)} + b^{3} \int \frac{F^{\frac{3 \, \sqrt{e x + d} c}{\sqrt{g x + f}}}}{e g x^{2} + d f + {\left(e f + d g\right)} x}\,{d x} + 3 \, a b^{2} \int \frac{F^{\frac{2 \, \sqrt{e x + d} c}{\sqrt{g x + f}}}}{e g x^{2} + d f + {\left(e f + d g\right)} x}\,{d x} + 3 \, a^{2} b \int \frac{F^{\frac{\sqrt{e x + d} c}{\sqrt{g x + f}}}}{e g x^{2} + d f + {\left(e f + d g\right)} x}\,{d x}"," ",0,"a^3*(log(e*x + d)/(e*f - d*g) - log(g*x + f)/(e*f - d*g)) + b^3*integrate(F^(3*sqrt(e*x + d)*c/sqrt(g*x + f))/(e*g*x^2 + d*f + (e*f + d*g)*x), x) + 3*a*b^2*integrate(F^(2*sqrt(e*x + d)*c/sqrt(g*x + f))/(e*g*x^2 + d*f + (e*f + d*g)*x), x) + 3*a^2*b*integrate(F^(sqrt(e*x + d)*c/sqrt(g*x + f))/(e*g*x^2 + d*f + (e*f + d*g)*x), x)","F",0
545,0,0,0,0.000000," ","integrate((a+b*F^(c*(e*x+d)^(1/2)/(g*x+f)^(1/2)))^2/(d*f+(d*g+e*f)*x+e*g*x^2),x, algorithm=""maxima"")","a^{2} {\left(\frac{\log\left(e x + d\right)}{e f - d g} - \frac{\log\left(g x + f\right)}{e f - d g}\right)} + b^{2} \int \frac{F^{\frac{2 \, \sqrt{e x + d} c}{\sqrt{g x + f}}}}{e g x^{2} + d f + {\left(e f + d g\right)} x}\,{d x} + 2 \, a b \int \frac{F^{\frac{\sqrt{e x + d} c}{\sqrt{g x + f}}}}{e g x^{2} + d f + {\left(e f + d g\right)} x}\,{d x}"," ",0,"a^2*(log(e*x + d)/(e*f - d*g) - log(g*x + f)/(e*f - d*g)) + b^2*integrate(F^(2*sqrt(e*x + d)*c/sqrt(g*x + f))/(e*g*x^2 + d*f + (e*f + d*g)*x), x) + 2*a*b*integrate(F^(sqrt(e*x + d)*c/sqrt(g*x + f))/(e*g*x^2 + d*f + (e*f + d*g)*x), x)","F",0
546,0,0,0,0.000000," ","integrate((a+b*F^(c*(e*x+d)^(1/2)/(g*x+f)^(1/2)))/(d*f+(d*g+e*f)*x+e*g*x^2),x, algorithm=""maxima"")","a {\left(\frac{\log\left(e x + d\right)}{e f - d g} - \frac{\log\left(g x + f\right)}{e f - d g}\right)} + b \int \frac{F^{\frac{\sqrt{e x + d} c}{\sqrt{g x + f}}}}{e g x^{2} + d f + {\left(e f + d g\right)} x}\,{d x}"," ",0,"a*(log(e*x + d)/(e*f - d*g) - log(g*x + f)/(e*f - d*g)) + b*integrate(F^(sqrt(e*x + d)*c/sqrt(g*x + f))/(e*g*x^2 + d*f + (e*f + d*g)*x), x)","F",0
547,1,36,0,1.098057," ","integrate(1/(d*f+(d*g+e*f)*x+e*g*x^2),x, algorithm=""maxima"")","\frac{\log\left(e x + d\right)}{e f - d g} - \frac{\log\left(g x + f\right)}{e f - d g}"," ",0,"log(e*x + d)/(e*f - d*g) - log(g*x + f)/(e*f - d*g)","A",0
548,0,0,0,0.000000," ","integrate(1/(a+b*F^(c*(e*x+d)^(1/2)/(g*x+f)^(1/2)))/(d*f+(d*g+e*f)*x+e*g*x^2),x, algorithm=""maxima"")","\int \frac{1}{{\left(e g x^{2} + d f + {\left(e f + d g\right)} x\right)} {\left(F^{\frac{\sqrt{e x + d} c}{\sqrt{g x + f}}} b + a\right)}}\,{d x}"," ",0,"integrate(1/((e*g*x^2 + d*f + (e*f + d*g)*x)*(F^(sqrt(e*x + d)*c/sqrt(g*x + f))*b + a)), x)","F",0
549,0,0,0,0.000000," ","integrate(1/(a+b*F^(c*(e*x+d)^(1/2)/(g*x+f)^(1/2)))^2/(d*f+(d*g+e*f)*x+e*g*x^2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{g x + f}}{{\left(e f - d g\right)} \sqrt{e x + d} F^{\frac{\sqrt{e x + d} c}{\sqrt{g x + f}}} a b c \log\left(F\right) + {\left(e f - d g\right)} \sqrt{e x + d} a^{2} c \log\left(F\right)} + \int \frac{\sqrt{e x + d} c \log\left(F\right) + \sqrt{g x + f}}{{\left(a b c e g x^{2} \log\left(F\right) + a b c d f \log\left(F\right) + {\left(e f + d g\right)} a b c x \log\left(F\right)\right)} \sqrt{e x + d} F^{\frac{\sqrt{e x + d} c}{\sqrt{g x + f}}} + {\left(a^{2} c e g x^{2} \log\left(F\right) + a^{2} c d f \log\left(F\right) + {\left(e f + d g\right)} a^{2} c x \log\left(F\right)\right)} \sqrt{e x + d}}\,{d x}"," ",0,"2*sqrt(g*x + f)/((e*f - d*g)*sqrt(e*x + d)*F^(sqrt(e*x + d)*c/sqrt(g*x + f))*a*b*c*log(F) + (e*f - d*g)*sqrt(e*x + d)*a^2*c*log(F)) + integrate((sqrt(e*x + d)*c*log(F) + sqrt(g*x + f))/((a*b*c*e*g*x^2*log(F) + a*b*c*d*f*log(F) + (e*f + d*g)*a*b*c*x*log(F))*sqrt(e*x + d)*F^(sqrt(e*x + d)*c/sqrt(g*x + f)) + (a^2*c*e*g*x^2*log(F) + a^2*c*d*f*log(F) + (e*f + d*g)*a^2*c*x*log(F))*sqrt(e*x + d)), x)","F",0
550,0,0,0,0.000000," ","integrate((a+b*F^(c*(e*x+d)^(1/2)/(-e*f*x+d*f)^(1/2)))^n/(-e^2*x^2+d^2),x, algorithm=""maxima"")","-\int \frac{{\left(F^{\frac{\sqrt{e x + d} c}{\sqrt{-e f x + d f}}} b + a\right)}^{n}}{e^{2} x^{2} - d^{2}}\,{d x}"," ",0,"-integrate((F^(sqrt(e*x + d)*c/sqrt(-e*f*x + d*f))*b + a)^n/(e^2*x^2 - d^2), x)","F",0
551,0,0,0,0.000000," ","integrate((a+b*F^(c*(e*x+d)^(1/2)/(-e*f*x+d*f)^(1/2)))^3/(-e^2*x^2+d^2),x, algorithm=""maxima"")","\frac{1}{2} \, a^{3} {\left(\frac{\log\left(e x + d\right)}{d e} - \frac{\log\left(e x - d\right)}{d e}\right)} - b^{3} \int \frac{F^{\frac{3 \, \sqrt{e x + d} c}{\sqrt{-e x + d} \sqrt{f}}}}{e^{2} x^{2} - d^{2}}\,{d x} - 3 \, a b^{2} \int \frac{F^{\frac{2 \, \sqrt{e x + d} c}{\sqrt{-e x + d} \sqrt{f}}}}{e^{2} x^{2} - d^{2}}\,{d x} - 3 \, a^{2} b \int \frac{F^{\frac{\sqrt{e x + d} c}{\sqrt{-e x + d} \sqrt{f}}}}{e^{2} x^{2} - d^{2}}\,{d x}"," ",0,"1/2*a^3*(log(e*x + d)/(d*e) - log(e*x - d)/(d*e)) - b^3*integrate(F^(3*sqrt(e*x + d)*c/(sqrt(-e*x + d)*sqrt(f)))/(e^2*x^2 - d^2), x) - 3*a*b^2*integrate(F^(2*sqrt(e*x + d)*c/(sqrt(-e*x + d)*sqrt(f)))/(e^2*x^2 - d^2), x) - 3*a^2*b*integrate(F^(sqrt(e*x + d)*c/(sqrt(-e*x + d)*sqrt(f)))/(e^2*x^2 - d^2), x)","F",0
552,0,0,0,0.000000," ","integrate((a+b*F^(c*(e*x+d)^(1/2)/(-e*f*x+d*f)^(1/2)))^2/(-e^2*x^2+d^2),x, algorithm=""maxima"")","\frac{1}{2} \, a^{2} {\left(\frac{\log\left(e x + d\right)}{d e} - \frac{\log\left(e x - d\right)}{d e}\right)} - b^{2} \int \frac{F^{\frac{2 \, \sqrt{e x + d} c}{\sqrt{-e x + d} \sqrt{f}}}}{e^{2} x^{2} - d^{2}}\,{d x} - 2 \, a b \int \frac{F^{\frac{\sqrt{e x + d} c}{\sqrt{-e x + d} \sqrt{f}}}}{e^{2} x^{2} - d^{2}}\,{d x}"," ",0,"1/2*a^2*(log(e*x + d)/(d*e) - log(e*x - d)/(d*e)) - b^2*integrate(F^(2*sqrt(e*x + d)*c/(sqrt(-e*x + d)*sqrt(f)))/(e^2*x^2 - d^2), x) - 2*a*b*integrate(F^(sqrt(e*x + d)*c/(sqrt(-e*x + d)*sqrt(f)))/(e^2*x^2 - d^2), x)","F",0
553,0,0,0,0.000000," ","integrate((a+b*F^(c*(e*x+d)^(1/2)/(-e*f*x+d*f)^(1/2)))/(-e^2*x^2+d^2),x, algorithm=""maxima"")","\frac{1}{2} \, a {\left(\frac{\log\left(e x + d\right)}{d e} - \frac{\log\left(e x - d\right)}{d e}\right)} - b \int \frac{F^{\frac{\sqrt{e x + d} c}{\sqrt{-e x + d} \sqrt{f}}}}{e^{2} x^{2} - d^{2}}\,{d x}"," ",0,"1/2*a*(log(e*x + d)/(d*e) - log(e*x - d)/(d*e)) - b*integrate(F^(sqrt(e*x + d)*c/(sqrt(-e*x + d)*sqrt(f)))/(e^2*x^2 - d^2), x)","F",0
554,1,31,0,0.960801," ","integrate(1/(-e^2*x^2+d^2),x, algorithm=""maxima"")","\frac{\log\left(e x + d\right)}{2 \, d e} - \frac{\log\left(e x - d\right)}{2 \, d e}"," ",0,"1/2*log(e*x + d)/(d*e) - 1/2*log(e*x - d)/(d*e)","B",0
555,0,0,0,0.000000," ","integrate(1/(a+b*F^(c*(e*x+d)^(1/2)/(-e*f*x+d*f)^(1/2)))/(-e^2*x^2+d^2),x, algorithm=""maxima"")","-\int \frac{1}{{\left(e^{2} x^{2} - d^{2}\right)} {\left(F^{\frac{\sqrt{e x + d} c}{\sqrt{-e f x + d f}}} b + a\right)}}\,{d x}"," ",0,"-integrate(1/((e^2*x^2 - d^2)*(F^(sqrt(e*x + d)*c/sqrt(-e*f*x + d*f))*b + a)), x)","F",0
556,0,0,0,0.000000," ","integrate(1/(a+b*F^(c*(e*x+d)^(1/2)/(-e*f*x+d*f)^(1/2)))^2/(-e^2*x^2+d^2),x, algorithm=""maxima"")","\frac{\sqrt{-e x + d} \sqrt{f}}{\sqrt{e x + d} F^{\frac{\sqrt{e x + d} c}{\sqrt{-e x + d} \sqrt{f}}} a b c d e \log\left(F\right) + \sqrt{e x + d} a^{2} c d e \log\left(F\right)} - \int \frac{\sqrt{e x + d} c \log\left(F\right) + \sqrt{-e x + d} \sqrt{f}}{{\left(a b c e^{2} x^{2} \log\left(F\right) - a b c d^{2} \log\left(F\right)\right)} \sqrt{e x + d} F^{\frac{\sqrt{e x + d} c}{\sqrt{-e x + d} \sqrt{f}}} + {\left(a^{2} c e^{2} x^{2} \log\left(F\right) - a^{2} c d^{2} \log\left(F\right)\right)} \sqrt{e x + d}}\,{d x}"," ",0,"sqrt(-e*x + d)*sqrt(f)/(sqrt(e*x + d)*F^(sqrt(e*x + d)*c/(sqrt(-e*x + d)*sqrt(f)))*a*b*c*d*e*log(F) + sqrt(e*x + d)*a^2*c*d*e*log(F)) - integrate((sqrt(e*x + d)*c*log(F) + sqrt(-e*x + d)*sqrt(f))/((a*b*c*e^2*x^2*log(F) - a*b*c*d^2*log(F))*sqrt(e*x + d)*F^(sqrt(e*x + d)*c/(sqrt(-e*x + d)*sqrt(f))) + (a^2*c*e^2*x^2*log(F) - a^2*c*d^2*log(F))*sqrt(e*x + d)), x)","F",0
557,0,0,0,0.000000," ","integrate((F^((-a*x+1)^(1/2)/(a*x+1)^(1/2)))^n/(-a^2*x^2+1),x, algorithm=""maxima"")","-\int \frac{{\left(F^{\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}}\right)}^{n}}{a^{2} x^{2} - 1}\,{d x}"," ",0,"-integrate((F^(sqrt(-a*x + 1)/sqrt(a*x + 1)))^n/(a^2*x^2 - 1), x)","F",0
558,0,0,0,0.000000," ","integrate(F^(3*(-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x, algorithm=""maxima"")","-\int \frac{F^{\frac{3 \, \sqrt{-a x + 1}}{\sqrt{a x + 1}}}}{a^{2} x^{2} - 1}\,{d x}"," ",0,"-integrate(F^(3*sqrt(-a*x + 1)/sqrt(a*x + 1))/(a^2*x^2 - 1), x)","F",0
559,0,0,0,0.000000," ","integrate(F^(2*(-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x, algorithm=""maxima"")","-\int \frac{F^{\frac{2 \, \sqrt{-a x + 1}}{\sqrt{a x + 1}}}}{a^{2} x^{2} - 1}\,{d x}"," ",0,"-integrate(F^(2*sqrt(-a*x + 1)/sqrt(a*x + 1))/(a^2*x^2 - 1), x)","F",0
560,0,0,0,0.000000," ","integrate(F^((-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x, algorithm=""maxima"")","-\int \frac{F^{\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}}}{a^{2} x^{2} - 1}\,{d x}"," ",0,"-integrate(F^(sqrt(-a*x + 1)/sqrt(a*x + 1))/(a^2*x^2 - 1), x)","F",0
561,0,0,0,0.000000," ","integrate(1/(F^((-a*x+1)^(1/2)/(a*x+1)^(1/2)))/(-a^2*x^2+1),x, algorithm=""maxima"")","-\int \frac{1}{{\left(a^{2} x^{2} - 1\right)} F^{\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}}}\,{d x}"," ",0,"-integrate(1/((a^2*x^2 - 1)*F^(sqrt(-a*x + 1)/sqrt(a*x + 1))), x)","F",0
562,0,0,0,0.000000," ","integrate(1/(F^(2*(-a*x+1)^(1/2)/(a*x+1)^(1/2)))/(-a^2*x^2+1),x, algorithm=""maxima"")","-\int \frac{1}{{\left(a^{2} x^{2} - 1\right)} F^{\frac{2 \, \sqrt{-a x + 1}}{\sqrt{a x + 1}}}}\,{d x}"," ",0,"-integrate(1/((a^2*x^2 - 1)*F^(2*sqrt(-a*x + 1)/sqrt(a*x + 1))), x)","F",0
563,1,67,0,0.923442," ","integrate(a^x*b^x*x^2,x, algorithm=""maxima"")","\frac{{\left({\left(\log\left(a\right)^{2} + 2 \, \log\left(a\right) \log\left(b\right) + \log\left(b\right)^{2}\right)} x^{2} - 2 \, x {\left(\log\left(a\right) + \log\left(b\right)\right)} + 2\right)} e^{\left(x \log\left(a\right) + x \log\left(b\right)\right)}}{\log\left(a\right)^{3} + 3 \, \log\left(a\right)^{2} \log\left(b\right) + 3 \, \log\left(a\right) \log\left(b\right)^{2} + \log\left(b\right)^{3}}"," ",0,"((log(a)^2 + 2*log(a)*log(b) + log(b)^2)*x^2 - 2*x*(log(a) + log(b)) + 2)*e^(x*log(a) + x*log(b))/(log(a)^3 + 3*log(a)^2*log(b) + 3*log(a)*log(b)^2 + log(b)^3)","A",0
564,1,37,0,0.793860," ","integrate(a^x*b^x*x,x, algorithm=""maxima"")","\frac{{\left(x {\left(\log\left(a\right) + \log\left(b\right)\right)} - 1\right)} e^{\left(x \log\left(a\right) + x \log\left(b\right)\right)}}{\log\left(a\right)^{2} + 2 \, \log\left(a\right) \log\left(b\right) + \log\left(b\right)^{2}}"," ",0,"(x*(log(a) + log(b)) - 1)*e^(x*log(a) + x*log(b))/(log(a)^2 + 2*log(a)*log(b) + log(b)^2)","A",0
565,-2,0,0,0.000000," ","integrate(a^x*b^x,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(log(b)/log(a)>0)', see `assume?` for more details)Is log(b)/log(a) equal to -1?","F(-2)",0
566,1,8,0,1.341609," ","integrate(a^x*b^x/x,x, algorithm=""maxima"")","{\rm Ei}\left(x {\left(\log\left(a\right) + \log\left(b\right)\right)}\right)"," ",0,"Ei(x*(log(a) + log(b)))","A",0
567,1,16,0,1.303589," ","integrate(a^x*b^x/x^2,x, algorithm=""maxima"")","{\left(\log\left(a\right) + \log\left(b\right)\right)} \Gamma\left(-1, -x {\left(\log\left(a\right) + \log\left(b\right)\right)}\right)"," ",0,"(log(a) + log(b))*gamma(-1, -x*(log(a) + log(b)))","A",0
568,1,19,0,1.325215," ","integrate(a^x*b^x/x^3,x, algorithm=""maxima"")","-{\left(\log\left(a\right) + \log\left(b\right)\right)}^{2} \Gamma\left(-2, -x {\left(\log\left(a\right) + \log\left(b\right)\right)}\right)"," ",0,"-(log(a) + log(b))^2*gamma(-2, -x*(log(a) + log(b)))","A",0
569,-2,0,0,0.000000," ","integrate(a^x*b^x*c^x,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(log(c)/log(a)+log(b)/log(a)>0)', see `assume?` for more details)Is log(c)/log(a)+log(b)/log(a)    equal to -1?","F(-2)",0
570,-2,0,0,0.000000," ","integrate(a^x/(b^x),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(-log(b)/log(a)>0)', see `assume?` for more details)Is -log(b)/log(a) equal to -1?","F(-2)",0
571,1,72,0,0.973524," ","integrate(a^x*x^2/(b^x),x, algorithm=""maxima"")","\frac{{\left({\left(\log\left(a\right)^{2} - 2 \, \log\left(a\right) \log\left(b\right) + \log\left(b\right)^{2}\right)} x^{2} - 2 \, x {\left(\log\left(a\right) - \log\left(b\right)\right)} + 2\right)} e^{\left(x \log\left(a\right) - x \log\left(b\right)\right)}}{\log\left(a\right)^{3} - 3 \, \log\left(a\right)^{2} \log\left(b\right) + 3 \, \log\left(a\right) \log\left(b\right)^{2} - \log\left(b\right)^{3}}"," ",0,"((log(a)^2 - 2*log(a)*log(b) + log(b)^2)*x^2 - 2*x*(log(a) - log(b)) + 2)*e^(x*log(a) - x*log(b))/(log(a)^3 - 3*log(a)^2*log(b) + 3*log(a)*log(b)^2 - log(b)^3)","A",0
572,-2,0,0,0.000000," ","integrate((d+e*exp(i*x+h))*(g*x+f)^3/(a+b*exp(i*x+h)+c*exp(2*i*x+2*h)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
573,-2,0,0,0.000000," ","integrate((d+e*exp(i*x+h))*(g*x+f)^2/(a+b*exp(i*x+h)+c*exp(2*i*x+2*h)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
574,-2,0,0,0.000000," ","integrate((d+e*exp(i*x+h))*(g*x+f)/(a+b*exp(i*x+h)+c*exp(2*i*x+2*h)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
575,-2,0,0,0.000000," ","integrate((d+e*exp(i*x+h))/(a+b*exp(i*x+h)+c*exp(2*i*x+2*h)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a*c-b^2>0)', see `assume?` for more details)Is 4*a*c-b^2 positive or negative?","F(-2)",0
576,0,0,0,0.000000," ","integrate((d+e*exp(i*x+h))/(a+b*exp(i*x+h)+c*exp(2*i*x+2*h))/(g*x+f),x, algorithm=""maxima"")","\int \frac{e e^{\left(i x + h\right)} + d}{{\left(g x + f\right)} {\left(c e^{\left(2 \, i x + 2 \, h\right)} + b e^{\left(i x + h\right)} + a\right)}}\,{d x}"," ",0,"integrate((e*e^(i*x + h) + d)/((g*x + f)*(c*e^(2*i*x + 2*h) + b*e^(i*x + h) + a)), x)","F",0
577,0,0,0,0.000000," ","integrate((d+e*exp(i*x+h))/(a+b*exp(i*x+h)+c*exp(2*i*x+2*h))/(g*x+f)^2,x, algorithm=""maxima"")","\int \frac{e e^{\left(i x + h\right)} + d}{{\left(g x + f\right)}^{2} {\left(c e^{\left(2 \, i x + 2 \, h\right)} + b e^{\left(i x + h\right)} + a\right)}}\,{d x}"," ",0,"integrate((e*e^(i*x + h) + d)/((g*x + f)^2*(c*e^(2*i*x + 2*h) + b*e^(i*x + h) + a)), x)","F",0
578,0,0,0,0.000000," ","integrate((b*e-a*e*exp(d*x+c))*x/(b*e-2*a*e*exp(d*x+c)-b*e*exp(2*d*x+2*c)),x, algorithm=""maxima"")","\int \frac{{\left(a e e^{\left(d x + c\right)} - b e\right)} x}{b e e^{\left(2 \, d x + 2 \, c\right)} + 2 \, a e e^{\left(d x + c\right)} - b e}\,{d x}"," ",0,"integrate((a*e*e^(d*x + c) - b*e)*x/(b*e*e^(2*d*x + 2*c) + 2*a*e*e^(d*x + c) - b*e), x)","F",0
579,0,0,0,0.000000," ","integrate(F^(a+b*log(c+d*x^n))*x^2,x, algorithm=""maxima"")","\int F^{b \log\left(d x^{n} + c\right) + a} x^{2}\,{d x}"," ",0,"integrate(F^(b*log(d*x^n + c) + a)*x^2, x)","F",0
580,0,0,0,0.000000," ","integrate(F^(a+b*log(c+d*x^n))*x,x, algorithm=""maxima"")","\int F^{b \log\left(d x^{n} + c\right) + a} x\,{d x}"," ",0,"integrate(F^(b*log(d*x^n + c) + a)*x, x)","F",0
581,0,0,0,0.000000," ","integrate(F^(a+b*log(c+d*x^n)),x, algorithm=""maxima"")","\int F^{b \log\left(d x^{n} + c\right) + a}\,{d x}"," ",0,"integrate(F^(b*log(d*x^n + c) + a), x)","F",0
582,0,0,0,0.000000," ","integrate(F^(a+b*log(c+d*x^n))/x,x, algorithm=""maxima"")","\int \frac{F^{b \log\left(d x^{n} + c\right) + a}}{x}\,{d x}"," ",0,"integrate(F^(b*log(d*x^n + c) + a)/x, x)","F",0
583,0,0,0,0.000000," ","integrate(F^(a+b*log(c+d*x^n))/x^2,x, algorithm=""maxima"")","\int \frac{F^{b \log\left(d x^{n} + c\right) + a}}{x^{2}}\,{d x}"," ",0,"integrate(F^(b*log(d*x^n + c) + a)/x^2, x)","F",0
584,0,0,0,0.000000," ","integrate(F^(a+b*log(c+d*x^n))/x^3,x, algorithm=""maxima"")","\int \frac{F^{b \log\left(d x^{n} + c\right) + a}}{x^{3}}\,{d x}"," ",0,"integrate(F^(b*log(d*x^n + c) + a)/x^3, x)","F",0
585,0,0,0,0.000000," ","integrate(F^(a+b*log(c+d*x^n))*(d*x)^m,x, algorithm=""maxima"")","\int \left(d x\right)^{m} F^{b \log\left(d x^{n} + c\right) + a}\,{d x}"," ",0,"integrate((d*x)^m*F^(b*log(d*x^n + c) + a), x)","F",0
586,0,0,0,0.000000," ","integrate(exp(log((e*x+d)^n)^2)*(e*x+d)^m,x, algorithm=""maxima"")","\int {\left(e x + d\right)}^{m} e^{\left(\log\left({\left(e x + d\right)}^{n}\right)^{2}\right)}\,{d x}"," ",0,"integrate((e*x + d)^m*e^(log((e*x + d)^n)^2), x)","F",0
587,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))*(e*g*x+d*g)^m,x, algorithm=""maxima"")","\int {\left(e g x + d g\right)}^{m} F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a\right)} f}\,{d x}"," ",0,"integrate((e*g*x + d*g)^m*F^((b*log((e*x + d)^n*c)^2 + a)*f), x)","F",0
588,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))*(e*g*x+d*g)^2,x, algorithm=""maxima"")","\int {\left(e g x + d g\right)}^{2} F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a\right)} f}\,{d x}"," ",0,"integrate((e*g*x + d*g)^2*F^((b*log((e*x + d)^n*c)^2 + a)*f), x)","F",0
589,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))*(e*g*x+d*g),x, algorithm=""maxima"")","\int {\left(e g x + d g\right)} F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a\right)} f}\,{d x}"," ",0,"integrate((e*g*x + d*g)*F^((b*log((e*x + d)^n*c)^2 + a)*f), x)","F",0
590,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2)),x, algorithm=""maxima"")","\int F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a\right)} f}\,{d x}"," ",0,"integrate(F^((b*log((e*x + d)^n*c)^2 + a)*f), x)","F",0
591,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))/(e*g*x+d*g),x, algorithm=""maxima"")","\int \frac{F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a\right)} f}}{e g x + d g}\,{d x}"," ",0,"integrate(F^((b*log((e*x + d)^n*c)^2 + a)*f)/(e*g*x + d*g), x)","F",0
592,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))/(e*g*x+d*g)^2,x, algorithm=""maxima"")","\int \frac{F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a\right)} f}}{{\left(e g x + d g\right)}^{2}}\,{d x}"," ",0,"integrate(F^((b*log((e*x + d)^n*c)^2 + a)*f)/(e*g*x + d*g)^2, x)","F",0
593,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))/(e*g*x+d*g)^3,x, algorithm=""maxima"")","\int \frac{F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a\right)} f}}{{\left(e g x + d g\right)}^{3}}\,{d x}"," ",0,"integrate(F^((b*log((e*x + d)^n*c)^2 + a)*f)/(e*g*x + d*g)^3, x)","F",0
594,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))*(h*x+g)^m,x, algorithm=""maxima"")","\int {\left(h x + g\right)}^{m} F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a\right)} f}\,{d x}"," ",0,"integrate((h*x + g)^m*F^((b*log((e*x + d)^n*c)^2 + a)*f), x)","F",0
595,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))*(h*x+g)^3,x, algorithm=""maxima"")","\int {\left(h x + g\right)}^{3} F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a\right)} f}\,{d x}"," ",0,"integrate((h*x + g)^3*F^((b*log((e*x + d)^n*c)^2 + a)*f), x)","F",0
596,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))*(h*x+g)^2,x, algorithm=""maxima"")","\int {\left(h x + g\right)}^{2} F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a\right)} f}\,{d x}"," ",0,"integrate((h*x + g)^2*F^((b*log((e*x + d)^n*c)^2 + a)*f), x)","F",0
597,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))*(h*x+g),x, algorithm=""maxima"")","\int {\left(h x + g\right)} F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a\right)} f}\,{d x}"," ",0,"integrate((h*x + g)*F^((b*log((e*x + d)^n*c)^2 + a)*f), x)","F",0
598,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2)),x, algorithm=""maxima"")","\int F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a\right)} f}\,{d x}"," ",0,"integrate(F^((b*log((e*x + d)^n*c)^2 + a)*f), x)","F",0
599,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))/(h*x+g),x, algorithm=""maxima"")","\int \frac{F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a\right)} f}}{h x + g}\,{d x}"," ",0,"integrate(F^((b*log((e*x + d)^n*c)^2 + a)*f)/(h*x + g), x)","F",0
600,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))/(h*x+g)^2,x, algorithm=""maxima"")","\int \frac{F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a\right)} f}}{{\left(h x + g\right)}^{2}}\,{d x}"," ",0,"integrate(F^((b*log((e*x + d)^n*c)^2 + a)*f)/(h*x + g)^2, x)","F",0
601,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))/(h*x+g)^3,x, algorithm=""maxima"")","\int \frac{F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a\right)} f}}{{\left(h x + g\right)}^{3}}\,{d x}"," ",0,"integrate(F^((b*log((e*x + d)^n*c)^2 + a)*f)/(h*x + g)^3, x)","F",0
602,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)*(e*g*x+d*g)^m,x, algorithm=""maxima"")","\int {\left(e g x + d g\right)}^{m} F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} f}\,{d x}"," ",0,"integrate((e*g*x + d*g)^m*F^((b*log((e*x + d)^n*c) + a)^2*f), x)","F",0
603,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)*(e*g*x+d*g)^2,x, algorithm=""maxima"")","\int {\left(e g x + d g\right)}^{2} F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} f}\,{d x}"," ",0,"integrate((e*g*x + d*g)^2*F^((b*log((e*x + d)^n*c) + a)^2*f), x)","F",0
604,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)*(e*g*x+d*g),x, algorithm=""maxima"")","\int {\left(e g x + d g\right)} F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} f}\,{d x}"," ",0,"integrate((e*g*x + d*g)*F^((b*log((e*x + d)^n*c) + a)^2*f), x)","F",0
605,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2),x, algorithm=""maxima"")","\int F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} f}\,{d x}"," ",0,"integrate(F^((b*log((e*x + d)^n*c) + a)^2*f), x)","F",0
606,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)/(e*g*x+d*g),x, algorithm=""maxima"")","\int \frac{F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} f}}{e g x + d g}\,{d x}"," ",0,"integrate(F^((b*log((e*x + d)^n*c) + a)^2*f)/(e*g*x + d*g), x)","F",0
607,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)/(e*g*x+d*g)^2,x, algorithm=""maxima"")","\int \frac{F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} f}}{{\left(e g x + d g\right)}^{2}}\,{d x}"," ",0,"integrate(F^((b*log((e*x + d)^n*c) + a)^2*f)/(e*g*x + d*g)^2, x)","F",0
608,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)/(e*g*x+d*g)^3,x, algorithm=""maxima"")","\int \frac{F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} f}}{{\left(e g x + d g\right)}^{3}}\,{d x}"," ",0,"integrate(F^((b*log((e*x + d)^n*c) + a)^2*f)/(e*g*x + d*g)^3, x)","F",0
609,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)*(h*x+g)^m,x, algorithm=""maxima"")","\int {\left(h x + g\right)}^{m} F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} f}\,{d x}"," ",0,"integrate((h*x + g)^m*F^((b*log((e*x + d)^n*c) + a)^2*f), x)","F",0
610,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)*(h*x+g)^3,x, algorithm=""maxima"")","\int {\left(h x + g\right)}^{3} F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} f}\,{d x}"," ",0,"integrate((h*x + g)^3*F^((b*log((e*x + d)^n*c) + a)^2*f), x)","F",0
611,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)*(h*x+g)^2,x, algorithm=""maxima"")","\int {\left(h x + g\right)}^{2} F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} f}\,{d x}"," ",0,"integrate((h*x + g)^2*F^((b*log((e*x + d)^n*c) + a)^2*f), x)","F",0
612,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)*(h*x+g),x, algorithm=""maxima"")","\int {\left(h x + g\right)} F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} f}\,{d x}"," ",0,"integrate((h*x + g)*F^((b*log((e*x + d)^n*c) + a)^2*f), x)","F",0
613,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2),x, algorithm=""maxima"")","\int F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} f}\,{d x}"," ",0,"integrate(F^((b*log((e*x + d)^n*c) + a)^2*f), x)","F",0
614,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)/(h*x+g),x, algorithm=""maxima"")","\int \frac{F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} f}}{h x + g}\,{d x}"," ",0,"integrate(F^((b*log((e*x + d)^n*c) + a)^2*f)/(h*x + g), x)","F",0
615,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)/(h*x+g)^2,x, algorithm=""maxima"")","\int \frac{F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} f}}{{\left(h x + g\right)}^{2}}\,{d x}"," ",0,"integrate(F^((b*log((e*x + d)^n*c) + a)^2*f)/(h*x + g)^2, x)","F",0
616,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)/(h*x+g)^3,x, algorithm=""maxima"")","\int \frac{F^{{\left(b \log\left({\left(e x + d\right)}^{n} c\right) + a\right)}^{2} f}}{{\left(h x + g\right)}^{3}}\,{d x}"," ",0,"integrate(F^((b*log((e*x + d)^n*c) + a)^2*f)/(h*x + g)^3, x)","F",0
617,1,17,0,1.001542," ","integrate(F^(c*x^3+b*x+a)*(3*c*x^2+b),x, algorithm=""maxima"")","\frac{F^{c x^{3} + b x + a}}{\log\left(F\right)}"," ",0,"F^(c*x^3 + b*x + a)/log(F)","A",0
618,1,20,0,0.945137," ","integrate(F^(1/(c*x^2+b*x+a))*(2*c*x+b)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","-\frac{F^{\left(\frac{1}{c x^{2} + b x + a}\right)}}{\log\left(F\right)}"," ",0,"-F^(1/(c*x^2 + b*x + a))/log(F)","A",0
619,0,0,0,0.000000," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^m,x, algorithm=""maxima"")","\int {\left(2 \, c x + b\right)} {\left(c x^{2} + b x + a\right)}^{m} e^{\left(c x^{2} + b x + a\right)}\,{d x}"," ",0,"integrate((2*c*x + b)*(c*x^2 + b*x + a)^m*e^(c*x^2 + b*x + a), x)","F",0
620,1,2381,0,8.250458," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\frac{\sqrt{\pi} a^{3} b \operatorname{erf}\left(\sqrt{-c} x - \frac{b}{2 \, \sqrt{-c}}\right) e^{\left(a - \frac{b^{2}}{4 \, c}\right)}}{2 \, \sqrt{-c}} - \frac{3 \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}} c^{\frac{3}{2}}} - \frac{2 \, e^{\left(\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}}{\sqrt{c}}\right)} a^{2} b^{2} e^{\left(a - \frac{b^{2}}{4 \, c}\right)}}{4 \, \sqrt{c}} + \frac{3 \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{2} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}} c^{\frac{5}{2}}} - \frac{4 \, b e^{\left(\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}}{c^{\frac{3}{2}}} - \frac{4 \, {\left(2 \, c x + b\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{3}{2}} c^{\frac{5}{2}}}\right)} a b^{3} e^{\left(a - \frac{b^{2}}{4 \, c}\right)}}{8 \, \sqrt{c}} - \frac{{\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{3} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}} c^{\frac{7}{2}}} - \frac{6 \, b^{2} e^{\left(\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}}{c^{\frac{5}{2}}} - \frac{12 \, {\left(2 \, c x + b\right)}^{3} b \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{3}{2}} c^{\frac{7}{2}}} + \frac{8 \, \Gamma\left(2, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{c^{\frac{3}{2}}}\right)} b^{4} e^{\left(a - \frac{b^{2}}{4 \, c}\right)}}{16 \, \sqrt{c}} - \frac{1}{2} \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}} c^{\frac{3}{2}}} - \frac{2 \, e^{\left(\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}}{\sqrt{c}}\right)} a^{3} \sqrt{c} e^{\left(a - \frac{b^{2}}{4 \, c}\right)} + \frac{9}{8} \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{2} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}} c^{\frac{5}{2}}} - \frac{4 \, b e^{\left(\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}}{c^{\frac{3}{2}}} - \frac{4 \, {\left(2 \, c x + b\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{3}{2}} c^{\frac{5}{2}}}\right)} a^{2} b \sqrt{c} e^{\left(a - \frac{b^{2}}{4 \, c}\right)} - \frac{3}{4} \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{3} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}} c^{\frac{7}{2}}} - \frac{6 \, b^{2} e^{\left(\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}}{c^{\frac{5}{2}}} - \frac{12 \, {\left(2 \, c x + b\right)}^{3} b \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{3}{2}} c^{\frac{7}{2}}} + \frac{8 \, \Gamma\left(2, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{c^{\frac{3}{2}}}\right)} a b^{2} \sqrt{c} e^{\left(a - \frac{b^{2}}{4 \, c}\right)} + \frac{5}{32} \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{4} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}} c^{\frac{9}{2}}} - \frac{8 \, b^{3} e^{\left(\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}}{c^{\frac{7}{2}}} - \frac{24 \, {\left(2 \, c x + b\right)}^{3} b^{2} \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{3}{2}} c^{\frac{9}{2}}} + \frac{32 \, b \Gamma\left(2, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{c^{\frac{5}{2}}} - \frac{16 \, {\left(2 \, c x + b\right)}^{5} \Gamma\left(\frac{5}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{5}{2}} c^{\frac{9}{2}}}\right)} b^{3} \sqrt{c} e^{\left(a - \frac{b^{2}}{4 \, c}\right)} - \frac{3}{8} \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{3} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}} c^{\frac{7}{2}}} - \frac{6 \, b^{2} e^{\left(\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}}{c^{\frac{5}{2}}} - \frac{12 \, {\left(2 \, c x + b\right)}^{3} b \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{3}{2}} c^{\frac{7}{2}}} + \frac{8 \, \Gamma\left(2, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{c^{\frac{3}{2}}}\right)} a^{2} c^{\frac{3}{2}} e^{\left(a - \frac{b^{2}}{4 \, c}\right)} + \frac{15}{32} \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{4} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}} c^{\frac{9}{2}}} - \frac{8 \, b^{3} e^{\left(\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}}{c^{\frac{7}{2}}} - \frac{24 \, {\left(2 \, c x + b\right)}^{3} b^{2} \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{3}{2}} c^{\frac{9}{2}}} + \frac{32 \, b \Gamma\left(2, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{c^{\frac{5}{2}}} - \frac{16 \, {\left(2 \, c x + b\right)}^{5} \Gamma\left(\frac{5}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{5}{2}} c^{\frac{9}{2}}}\right)} a b c^{\frac{3}{2}} e^{\left(a - \frac{b^{2}}{4 \, c}\right)} - \frac{9}{64} \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{5} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}} c^{\frac{11}{2}}} - \frac{10 \, b^{4} e^{\left(\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}}{c^{\frac{9}{2}}} - \frac{40 \, {\left(2 \, c x + b\right)}^{3} b^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{3}{2}} c^{\frac{11}{2}}} + \frac{80 \, b^{2} \Gamma\left(2, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{c^{\frac{7}{2}}} - \frac{80 \, {\left(2 \, c x + b\right)}^{5} b \Gamma\left(\frac{5}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{5}{2}} c^{\frac{11}{2}}} - \frac{32 \, \Gamma\left(3, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{c^{\frac{5}{2}}}\right)} b^{2} c^{\frac{3}{2}} e^{\left(a - \frac{b^{2}}{4 \, c}\right)} - \frac{3}{32} \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{5} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}} c^{\frac{11}{2}}} - \frac{10 \, b^{4} e^{\left(\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}}{c^{\frac{9}{2}}} - \frac{40 \, {\left(2 \, c x + b\right)}^{3} b^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{3}{2}} c^{\frac{11}{2}}} + \frac{80 \, b^{2} \Gamma\left(2, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{c^{\frac{7}{2}}} - \frac{80 \, {\left(2 \, c x + b\right)}^{5} b \Gamma\left(\frac{5}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{5}{2}} c^{\frac{11}{2}}} - \frac{32 \, \Gamma\left(3, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{c^{\frac{5}{2}}}\right)} a c^{\frac{5}{2}} e^{\left(a - \frac{b^{2}}{4 \, c}\right)} + \frac{7}{128} \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{6} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}} c^{\frac{13}{2}}} - \frac{12 \, b^{5} e^{\left(\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}}{c^{\frac{11}{2}}} - \frac{60 \, {\left(2 \, c x + b\right)}^{3} b^{4} \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{3}{2}} c^{\frac{13}{2}}} + \frac{160 \, b^{3} \Gamma\left(2, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{c^{\frac{9}{2}}} - \frac{240 \, {\left(2 \, c x + b\right)}^{5} b^{2} \Gamma\left(\frac{5}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{5}{2}} c^{\frac{13}{2}}} - \frac{192 \, b \Gamma\left(3, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{c^{\frac{7}{2}}} - \frac{64 \, {\left(2 \, c x + b\right)}^{7} \Gamma\left(\frac{7}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{7}{2}} c^{\frac{13}{2}}}\right)} b c^{\frac{5}{2}} e^{\left(a - \frac{b^{2}}{4 \, c}\right)} - \frac{1}{128} \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{7} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}} c^{\frac{15}{2}}} - \frac{14 \, b^{6} e^{\left(\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}}{c^{\frac{13}{2}}} - \frac{84 \, {\left(2 \, c x + b\right)}^{3} b^{5} \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{3}{2}} c^{\frac{15}{2}}} + \frac{280 \, b^{4} \Gamma\left(2, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{c^{\frac{11}{2}}} - \frac{560 \, {\left(2 \, c x + b\right)}^{5} b^{3} \Gamma\left(\frac{5}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{5}{2}} c^{\frac{15}{2}}} - \frac{672 \, b^{2} \Gamma\left(3, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{c^{\frac{9}{2}}} - \frac{448 \, {\left(2 \, c x + b\right)}^{7} b \Gamma\left(\frac{7}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{7}{2}} c^{\frac{15}{2}}} + \frac{128 \, \Gamma\left(4, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{c^{\frac{7}{2}}}\right)} c^{\frac{7}{2}} e^{\left(a - \frac{b^{2}}{4 \, c}\right)}"," ",0,"1/2*sqrt(pi)*a^3*b*erf(sqrt(-c)*x - 1/2*b/sqrt(-c))*e^(a - 1/4*b^2/c)/sqrt(-c) - 3/4*(sqrt(pi)*(2*c*x + b)*b*(erf(1/2*sqrt(-(2*c*x + b)^2/c)) - 1)/(sqrt(-(2*c*x + b)^2/c)*c^(3/2)) - 2*e^(1/4*(2*c*x + b)^2/c)/sqrt(c))*a^2*b^2*e^(a - 1/4*b^2/c)/sqrt(c) + 3/8*(sqrt(pi)*(2*c*x + b)*b^2*(erf(1/2*sqrt(-(2*c*x + b)^2/c)) - 1)/(sqrt(-(2*c*x + b)^2/c)*c^(5/2)) - 4*b*e^(1/4*(2*c*x + b)^2/c)/c^(3/2) - 4*(2*c*x + b)^3*gamma(3/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(3/2)*c^(5/2)))*a*b^3*e^(a - 1/4*b^2/c)/sqrt(c) - 1/16*(sqrt(pi)*(2*c*x + b)*b^3*(erf(1/2*sqrt(-(2*c*x + b)^2/c)) - 1)/(sqrt(-(2*c*x + b)^2/c)*c^(7/2)) - 6*b^2*e^(1/4*(2*c*x + b)^2/c)/c^(5/2) - 12*(2*c*x + b)^3*b*gamma(3/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(3/2)*c^(7/2)) + 8*gamma(2, -1/4*(2*c*x + b)^2/c)/c^(3/2))*b^4*e^(a - 1/4*b^2/c)/sqrt(c) - 1/2*(sqrt(pi)*(2*c*x + b)*b*(erf(1/2*sqrt(-(2*c*x + b)^2/c)) - 1)/(sqrt(-(2*c*x + b)^2/c)*c^(3/2)) - 2*e^(1/4*(2*c*x + b)^2/c)/sqrt(c))*a^3*sqrt(c)*e^(a - 1/4*b^2/c) + 9/8*(sqrt(pi)*(2*c*x + b)*b^2*(erf(1/2*sqrt(-(2*c*x + b)^2/c)) - 1)/(sqrt(-(2*c*x + b)^2/c)*c^(5/2)) - 4*b*e^(1/4*(2*c*x + b)^2/c)/c^(3/2) - 4*(2*c*x + b)^3*gamma(3/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(3/2)*c^(5/2)))*a^2*b*sqrt(c)*e^(a - 1/4*b^2/c) - 3/4*(sqrt(pi)*(2*c*x + b)*b^3*(erf(1/2*sqrt(-(2*c*x + b)^2/c)) - 1)/(sqrt(-(2*c*x + b)^2/c)*c^(7/2)) - 6*b^2*e^(1/4*(2*c*x + b)^2/c)/c^(5/2) - 12*(2*c*x + b)^3*b*gamma(3/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(3/2)*c^(7/2)) + 8*gamma(2, -1/4*(2*c*x + b)^2/c)/c^(3/2))*a*b^2*sqrt(c)*e^(a - 1/4*b^2/c) + 5/32*(sqrt(pi)*(2*c*x + b)*b^4*(erf(1/2*sqrt(-(2*c*x + b)^2/c)) - 1)/(sqrt(-(2*c*x + b)^2/c)*c^(9/2)) - 8*b^3*e^(1/4*(2*c*x + b)^2/c)/c^(7/2) - 24*(2*c*x + b)^3*b^2*gamma(3/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(3/2)*c^(9/2)) + 32*b*gamma(2, -1/4*(2*c*x + b)^2/c)/c^(5/2) - 16*(2*c*x + b)^5*gamma(5/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(5/2)*c^(9/2)))*b^3*sqrt(c)*e^(a - 1/4*b^2/c) - 3/8*(sqrt(pi)*(2*c*x + b)*b^3*(erf(1/2*sqrt(-(2*c*x + b)^2/c)) - 1)/(sqrt(-(2*c*x + b)^2/c)*c^(7/2)) - 6*b^2*e^(1/4*(2*c*x + b)^2/c)/c^(5/2) - 12*(2*c*x + b)^3*b*gamma(3/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(3/2)*c^(7/2)) + 8*gamma(2, -1/4*(2*c*x + b)^2/c)/c^(3/2))*a^2*c^(3/2)*e^(a - 1/4*b^2/c) + 15/32*(sqrt(pi)*(2*c*x + b)*b^4*(erf(1/2*sqrt(-(2*c*x + b)^2/c)) - 1)/(sqrt(-(2*c*x + b)^2/c)*c^(9/2)) - 8*b^3*e^(1/4*(2*c*x + b)^2/c)/c^(7/2) - 24*(2*c*x + b)^3*b^2*gamma(3/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(3/2)*c^(9/2)) + 32*b*gamma(2, -1/4*(2*c*x + b)^2/c)/c^(5/2) - 16*(2*c*x + b)^5*gamma(5/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(5/2)*c^(9/2)))*a*b*c^(3/2)*e^(a - 1/4*b^2/c) - 9/64*(sqrt(pi)*(2*c*x + b)*b^5*(erf(1/2*sqrt(-(2*c*x + b)^2/c)) - 1)/(sqrt(-(2*c*x + b)^2/c)*c^(11/2)) - 10*b^4*e^(1/4*(2*c*x + b)^2/c)/c^(9/2) - 40*(2*c*x + b)^3*b^3*gamma(3/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(3/2)*c^(11/2)) + 80*b^2*gamma(2, -1/4*(2*c*x + b)^2/c)/c^(7/2) - 80*(2*c*x + b)^5*b*gamma(5/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(5/2)*c^(11/2)) - 32*gamma(3, -1/4*(2*c*x + b)^2/c)/c^(5/2))*b^2*c^(3/2)*e^(a - 1/4*b^2/c) - 3/32*(sqrt(pi)*(2*c*x + b)*b^5*(erf(1/2*sqrt(-(2*c*x + b)^2/c)) - 1)/(sqrt(-(2*c*x + b)^2/c)*c^(11/2)) - 10*b^4*e^(1/4*(2*c*x + b)^2/c)/c^(9/2) - 40*(2*c*x + b)^3*b^3*gamma(3/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(3/2)*c^(11/2)) + 80*b^2*gamma(2, -1/4*(2*c*x + b)^2/c)/c^(7/2) - 80*(2*c*x + b)^5*b*gamma(5/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(5/2)*c^(11/2)) - 32*gamma(3, -1/4*(2*c*x + b)^2/c)/c^(5/2))*a*c^(5/2)*e^(a - 1/4*b^2/c) + 7/128*(sqrt(pi)*(2*c*x + b)*b^6*(erf(1/2*sqrt(-(2*c*x + b)^2/c)) - 1)/(sqrt(-(2*c*x + b)^2/c)*c^(13/2)) - 12*b^5*e^(1/4*(2*c*x + b)^2/c)/c^(11/2) - 60*(2*c*x + b)^3*b^4*gamma(3/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(3/2)*c^(13/2)) + 160*b^3*gamma(2, -1/4*(2*c*x + b)^2/c)/c^(9/2) - 240*(2*c*x + b)^5*b^2*gamma(5/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(5/2)*c^(13/2)) - 192*b*gamma(3, -1/4*(2*c*x + b)^2/c)/c^(7/2) - 64*(2*c*x + b)^7*gamma(7/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(7/2)*c^(13/2)))*b*c^(5/2)*e^(a - 1/4*b^2/c) - 1/128*(sqrt(pi)*(2*c*x + b)*b^7*(erf(1/2*sqrt(-(2*c*x + b)^2/c)) - 1)/(sqrt(-(2*c*x + b)^2/c)*c^(15/2)) - 14*b^6*e^(1/4*(2*c*x + b)^2/c)/c^(13/2) - 84*(2*c*x + b)^3*b^5*gamma(3/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(3/2)*c^(15/2)) + 280*b^4*gamma(2, -1/4*(2*c*x + b)^2/c)/c^(11/2) - 560*(2*c*x + b)^5*b^3*gamma(5/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(5/2)*c^(15/2)) - 672*b^2*gamma(3, -1/4*(2*c*x + b)^2/c)/c^(9/2) - 448*(2*c*x + b)^7*b*gamma(7/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(7/2)*c^(15/2)) + 128*gamma(4, -1/4*(2*c*x + b)^2/c)/c^(7/2))*c^(7/2)*e^(a - 1/4*b^2/c)","C",0
621,1,1223,0,5.311477," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\frac{\sqrt{\pi} a^{2} b \operatorname{erf}\left(\sqrt{-c} x - \frac{b}{2 \, \sqrt{-c}}\right) e^{\left(a - \frac{b^{2}}{4 \, c}\right)}}{2 \, \sqrt{-c}} - \frac{{\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}} c^{\frac{3}{2}}} - \frac{2 \, e^{\left(\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}}{\sqrt{c}}\right)} a b^{2} e^{\left(a - \frac{b^{2}}{4 \, c}\right)}}{2 \, \sqrt{c}} + \frac{{\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{2} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}} c^{\frac{5}{2}}} - \frac{4 \, b e^{\left(\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}}{c^{\frac{3}{2}}} - \frac{4 \, {\left(2 \, c x + b\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{3}{2}} c^{\frac{5}{2}}}\right)} b^{3} e^{\left(a - \frac{b^{2}}{4 \, c}\right)}}{8 \, \sqrt{c}} - \frac{1}{2} \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}} c^{\frac{3}{2}}} - \frac{2 \, e^{\left(\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}}{\sqrt{c}}\right)} a^{2} \sqrt{c} e^{\left(a - \frac{b^{2}}{4 \, c}\right)} + \frac{3}{4} \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{2} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}} c^{\frac{5}{2}}} - \frac{4 \, b e^{\left(\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}}{c^{\frac{3}{2}}} - \frac{4 \, {\left(2 \, c x + b\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{3}{2}} c^{\frac{5}{2}}}\right)} a b \sqrt{c} e^{\left(a - \frac{b^{2}}{4 \, c}\right)} - \frac{1}{4} \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{3} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}} c^{\frac{7}{2}}} - \frac{6 \, b^{2} e^{\left(\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}}{c^{\frac{5}{2}}} - \frac{12 \, {\left(2 \, c x + b\right)}^{3} b \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{3}{2}} c^{\frac{7}{2}}} + \frac{8 \, \Gamma\left(2, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{c^{\frac{3}{2}}}\right)} b^{2} \sqrt{c} e^{\left(a - \frac{b^{2}}{4 \, c}\right)} - \frac{1}{4} \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{3} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}} c^{\frac{7}{2}}} - \frac{6 \, b^{2} e^{\left(\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}}{c^{\frac{5}{2}}} - \frac{12 \, {\left(2 \, c x + b\right)}^{3} b \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{3}{2}} c^{\frac{7}{2}}} + \frac{8 \, \Gamma\left(2, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{c^{\frac{3}{2}}}\right)} a c^{\frac{3}{2}} e^{\left(a - \frac{b^{2}}{4 \, c}\right)} + \frac{5}{32} \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{4} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}} c^{\frac{9}{2}}} - \frac{8 \, b^{3} e^{\left(\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}}{c^{\frac{7}{2}}} - \frac{24 \, {\left(2 \, c x + b\right)}^{3} b^{2} \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{3}{2}} c^{\frac{9}{2}}} + \frac{32 \, b \Gamma\left(2, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{c^{\frac{5}{2}}} - \frac{16 \, {\left(2 \, c x + b\right)}^{5} \Gamma\left(\frac{5}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{5}{2}} c^{\frac{9}{2}}}\right)} b c^{\frac{3}{2}} e^{\left(a - \frac{b^{2}}{4 \, c}\right)} - \frac{1}{32} \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{5} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}} c^{\frac{11}{2}}} - \frac{10 \, b^{4} e^{\left(\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}}{c^{\frac{9}{2}}} - \frac{40 \, {\left(2 \, c x + b\right)}^{3} b^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{3}{2}} c^{\frac{11}{2}}} + \frac{80 \, b^{2} \Gamma\left(2, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{c^{\frac{7}{2}}} - \frac{80 \, {\left(2 \, c x + b\right)}^{5} b \Gamma\left(\frac{5}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{5}{2}} c^{\frac{11}{2}}} - \frac{32 \, \Gamma\left(3, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{c^{\frac{5}{2}}}\right)} c^{\frac{5}{2}} e^{\left(a - \frac{b^{2}}{4 \, c}\right)}"," ",0,"1/2*sqrt(pi)*a^2*b*erf(sqrt(-c)*x - 1/2*b/sqrt(-c))*e^(a - 1/4*b^2/c)/sqrt(-c) - 1/2*(sqrt(pi)*(2*c*x + b)*b*(erf(1/2*sqrt(-(2*c*x + b)^2/c)) - 1)/(sqrt(-(2*c*x + b)^2/c)*c^(3/2)) - 2*e^(1/4*(2*c*x + b)^2/c)/sqrt(c))*a*b^2*e^(a - 1/4*b^2/c)/sqrt(c) + 1/8*(sqrt(pi)*(2*c*x + b)*b^2*(erf(1/2*sqrt(-(2*c*x + b)^2/c)) - 1)/(sqrt(-(2*c*x + b)^2/c)*c^(5/2)) - 4*b*e^(1/4*(2*c*x + b)^2/c)/c^(3/2) - 4*(2*c*x + b)^3*gamma(3/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(3/2)*c^(5/2)))*b^3*e^(a - 1/4*b^2/c)/sqrt(c) - 1/2*(sqrt(pi)*(2*c*x + b)*b*(erf(1/2*sqrt(-(2*c*x + b)^2/c)) - 1)/(sqrt(-(2*c*x + b)^2/c)*c^(3/2)) - 2*e^(1/4*(2*c*x + b)^2/c)/sqrt(c))*a^2*sqrt(c)*e^(a - 1/4*b^2/c) + 3/4*(sqrt(pi)*(2*c*x + b)*b^2*(erf(1/2*sqrt(-(2*c*x + b)^2/c)) - 1)/(sqrt(-(2*c*x + b)^2/c)*c^(5/2)) - 4*b*e^(1/4*(2*c*x + b)^2/c)/c^(3/2) - 4*(2*c*x + b)^3*gamma(3/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(3/2)*c^(5/2)))*a*b*sqrt(c)*e^(a - 1/4*b^2/c) - 1/4*(sqrt(pi)*(2*c*x + b)*b^3*(erf(1/2*sqrt(-(2*c*x + b)^2/c)) - 1)/(sqrt(-(2*c*x + b)^2/c)*c^(7/2)) - 6*b^2*e^(1/4*(2*c*x + b)^2/c)/c^(5/2) - 12*(2*c*x + b)^3*b*gamma(3/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(3/2)*c^(7/2)) + 8*gamma(2, -1/4*(2*c*x + b)^2/c)/c^(3/2))*b^2*sqrt(c)*e^(a - 1/4*b^2/c) - 1/4*(sqrt(pi)*(2*c*x + b)*b^3*(erf(1/2*sqrt(-(2*c*x + b)^2/c)) - 1)/(sqrt(-(2*c*x + b)^2/c)*c^(7/2)) - 6*b^2*e^(1/4*(2*c*x + b)^2/c)/c^(5/2) - 12*(2*c*x + b)^3*b*gamma(3/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(3/2)*c^(7/2)) + 8*gamma(2, -1/4*(2*c*x + b)^2/c)/c^(3/2))*a*c^(3/2)*e^(a - 1/4*b^2/c) + 5/32*(sqrt(pi)*(2*c*x + b)*b^4*(erf(1/2*sqrt(-(2*c*x + b)^2/c)) - 1)/(sqrt(-(2*c*x + b)^2/c)*c^(9/2)) - 8*b^3*e^(1/4*(2*c*x + b)^2/c)/c^(7/2) - 24*(2*c*x + b)^3*b^2*gamma(3/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(3/2)*c^(9/2)) + 32*b*gamma(2, -1/4*(2*c*x + b)^2/c)/c^(5/2) - 16*(2*c*x + b)^5*gamma(5/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(5/2)*c^(9/2)))*b*c^(3/2)*e^(a - 1/4*b^2/c) - 1/32*(sqrt(pi)*(2*c*x + b)*b^5*(erf(1/2*sqrt(-(2*c*x + b)^2/c)) - 1)/(sqrt(-(2*c*x + b)^2/c)*c^(11/2)) - 10*b^4*e^(1/4*(2*c*x + b)^2/c)/c^(9/2) - 40*(2*c*x + b)^3*b^3*gamma(3/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(3/2)*c^(11/2)) + 80*b^2*gamma(2, -1/4*(2*c*x + b)^2/c)/c^(7/2) - 80*(2*c*x + b)^5*b*gamma(5/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(5/2)*c^(11/2)) - 32*gamma(3, -1/4*(2*c*x + b)^2/c)/c^(5/2))*c^(5/2)*e^(a - 1/4*b^2/c)","C",0
622,1,501,0,2.958201," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a),x, algorithm=""maxima"")","\frac{\sqrt{\pi} a b \operatorname{erf}\left(\sqrt{-c} x - \frac{b}{2 \, \sqrt{-c}}\right) e^{\left(a - \frac{b^{2}}{4 \, c}\right)}}{2 \, \sqrt{-c}} - \frac{{\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}} c^{\frac{3}{2}}} - \frac{2 \, e^{\left(\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}}{\sqrt{c}}\right)} b^{2} e^{\left(a - \frac{b^{2}}{4 \, c}\right)}}{4 \, \sqrt{c}} - \frac{1}{2} \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}} c^{\frac{3}{2}}} - \frac{2 \, e^{\left(\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}}{\sqrt{c}}\right)} a \sqrt{c} e^{\left(a - \frac{b^{2}}{4 \, c}\right)} + \frac{3}{8} \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{2} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}} c^{\frac{5}{2}}} - \frac{4 \, b e^{\left(\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}}{c^{\frac{3}{2}}} - \frac{4 \, {\left(2 \, c x + b\right)}^{3} \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{3}{2}} c^{\frac{5}{2}}}\right)} b \sqrt{c} e^{\left(a - \frac{b^{2}}{4 \, c}\right)} - \frac{1}{8} \, {\left(\frac{\sqrt{\pi} {\left(2 \, c x + b\right)} b^{3} {\left(\operatorname{erf}\left(\frac{1}{2} \, \sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}}\right) - 1\right)}}{\sqrt{-\frac{{\left(2 \, c x + b\right)}^{2}}{c}} c^{\frac{7}{2}}} - \frac{6 \, b^{2} e^{\left(\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}}{c^{\frac{5}{2}}} - \frac{12 \, {\left(2 \, c x + b\right)}^{3} b \Gamma\left(\frac{3}{2}, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{\left(-\frac{{\left(2 \, c x + b\right)}^{2}}{c}\right)^{\frac{3}{2}} c^{\frac{7}{2}}} + \frac{8 \, \Gamma\left(2, -\frac{{\left(2 \, c x + b\right)}^{2}}{4 \, c}\right)}{c^{\frac{3}{2}}}\right)} c^{\frac{3}{2}} e^{\left(a - \frac{b^{2}}{4 \, c}\right)}"," ",0,"1/2*sqrt(pi)*a*b*erf(sqrt(-c)*x - 1/2*b/sqrt(-c))*e^(a - 1/4*b^2/c)/sqrt(-c) - 1/4*(sqrt(pi)*(2*c*x + b)*b*(erf(1/2*sqrt(-(2*c*x + b)^2/c)) - 1)/(sqrt(-(2*c*x + b)^2/c)*c^(3/2)) - 2*e^(1/4*(2*c*x + b)^2/c)/sqrt(c))*b^2*e^(a - 1/4*b^2/c)/sqrt(c) - 1/2*(sqrt(pi)*(2*c*x + b)*b*(erf(1/2*sqrt(-(2*c*x + b)^2/c)) - 1)/(sqrt(-(2*c*x + b)^2/c)*c^(3/2)) - 2*e^(1/4*(2*c*x + b)^2/c)/sqrt(c))*a*sqrt(c)*e^(a - 1/4*b^2/c) + 3/8*(sqrt(pi)*(2*c*x + b)*b^2*(erf(1/2*sqrt(-(2*c*x + b)^2/c)) - 1)/(sqrt(-(2*c*x + b)^2/c)*c^(5/2)) - 4*b*e^(1/4*(2*c*x + b)^2/c)/c^(3/2) - 4*(2*c*x + b)^3*gamma(3/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(3/2)*c^(5/2)))*b*sqrt(c)*e^(a - 1/4*b^2/c) - 1/8*(sqrt(pi)*(2*c*x + b)*b^3*(erf(1/2*sqrt(-(2*c*x + b)^2/c)) - 1)/(sqrt(-(2*c*x + b)^2/c)*c^(7/2)) - 6*b^2*e^(1/4*(2*c*x + b)^2/c)/c^(5/2) - 12*(2*c*x + b)^3*b*gamma(3/2, -1/4*(2*c*x + b)^2/c)/((-(2*c*x + b)^2/c)^(3/2)*c^(7/2)) + 8*gamma(2, -1/4*(2*c*x + b)^2/c)/c^(3/2))*c^(3/2)*e^(a - 1/4*b^2/c)","C",0
623,1,11,0,1.274138," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b),x, algorithm=""maxima"")","e^{\left(c x^{2} + b x + a\right)}"," ",0,"e^(c*x^2 + b*x + a)","A",0
624,0,0,0,0.000000," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)/(c*x^2+b*x+a),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c x + b\right)} e^{\left(c x^{2} + b x + a\right)}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate((2*c*x + b)*e^(c*x^2 + b*x + a)/(c*x^2 + b*x + a), x)","F",0
625,0,0,0,0.000000," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)/(c*x^2+b*x+a)^2,x, algorithm=""maxima"")","\int \frac{{\left(2 \, c x + b\right)} e^{\left(c x^{2} + b x + a\right)}}{{\left(c x^{2} + b x + a\right)}^{2}}\,{d x}"," ",0,"integrate((2*c*x + b)*e^(c*x^2 + b*x + a)/(c*x^2 + b*x + a)^2, x)","F",0
626,0,0,0,0.000000," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)/(c*x^2+b*x+a)^3,x, algorithm=""maxima"")","\int \frac{{\left(2 \, c x + b\right)} e^{\left(c x^{2} + b x + a\right)}}{{\left(c x^{2} + b x + a\right)}^{3}}\,{d x}"," ",0,"integrate((2*c*x + b)*e^(c*x^2 + b*x + a)/(c*x^2 + b*x + a)^3, x)","F",0
627,0,0,0,0.000000," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^(7/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{7}{2}} {\left(2 \, c x + b\right)} e^{\left(c x^{2} + b x + a\right)}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(7/2)*(2*c*x + b)*e^(c*x^2 + b*x + a), x)","F",0
628,0,0,0,0.000000," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{5}{2}} {\left(2 \, c x + b\right)} e^{\left(c x^{2} + b x + a\right)}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(5/2)*(2*c*x + b)*e^(c*x^2 + b*x + a), x)","F",0
629,0,0,0,0.000000," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{\frac{3}{2}} {\left(2 \, c x + b\right)} e^{\left(c x^{2} + b x + a\right)}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^(3/2)*(2*c*x + b)*e^(c*x^2 + b*x + a), x)","F",0
630,0,0,0,0.000000," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \sqrt{c x^{2} + b x + a} {\left(2 \, c x + b\right)} e^{\left(c x^{2} + b x + a\right)}\,{d x}"," ",0,"integrate(sqrt(c*x^2 + b*x + a)*(2*c*x + b)*e^(c*x^2 + b*x + a), x)","F",0
631,0,0,0,0.000000," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)/(c*x^2+b*x+a)^(1/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c x + b\right)} e^{\left(c x^{2} + b x + a\right)}}{\sqrt{c x^{2} + b x + a}}\,{d x}"," ",0,"integrate((2*c*x + b)*e^(c*x^2 + b*x + a)/sqrt(c*x^2 + b*x + a), x)","F",0
632,0,0,0,0.000000," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)/(c*x^2+b*x+a)^(3/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c x + b\right)} e^{\left(c x^{2} + b x + a\right)}}{{\left(c x^{2} + b x + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((2*c*x + b)*e^(c*x^2 + b*x + a)/(c*x^2 + b*x + a)^(3/2), x)","F",0
633,0,0,0,0.000000," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)/(c*x^2+b*x+a)^(5/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c x + b\right)} e^{\left(c x^{2} + b x + a\right)}}{{\left(c x^{2} + b x + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((2*c*x + b)*e^(c*x^2 + b*x + a)/(c*x^2 + b*x + a)^(5/2), x)","F",0
634,0,0,0,0.000000," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)/(c*x^2+b*x+a)^(7/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c x + b\right)} e^{\left(c x^{2} + b x + a\right)}}{{\left(c x^{2} + b x + a\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((2*c*x + b)*e^(c*x^2 + b*x + a)/(c*x^2 + b*x + a)^(7/2), x)","F",0
635,0,0,0,0.000000," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)/(c*x^2+b*x+a)^(9/2),x, algorithm=""maxima"")","\int \frac{{\left(2 \, c x + b\right)} e^{\left(c x^{2} + b x + a\right)}}{{\left(c x^{2} + b x + a\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((2*c*x + b)*e^(c*x^2 + b*x + a)/(c*x^2 + b*x + a)^(9/2), x)","F",0
636,1,14,0,2.287643," ","integrate(1/exp(x)/(1-1/exp(2*x))^(1/2),x, algorithm=""maxima"")","\arctan\left(\sqrt{-e^{\left(-2 \, x\right)} + 1} e^{x}\right)"," ",0,"arctan(sqrt(-e^(-2*x) + 1)*e^x)","A",0
637,1,7,0,2.001791," ","integrate(exp(x)/(4+exp(2*x)),x, algorithm=""maxima"")","\frac{1}{2} \, \arctan\left(\frac{1}{2} \, e^{x}\right)"," ",0,"1/2*arctan(1/2*e^x)","A",0
638,1,15,0,1.370343," ","integrate(exp(x)/(1-exp(2*x)),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(e^{x} + 1\right) - \frac{1}{2} \, \log\left(e^{x} - 1\right)"," ",0,"1/2*log(e^x + 1) - 1/2*log(e^x - 1)","B",0
639,1,26,0,2.317353," ","integrate(exp(x)/(3-4*exp(2*x)),x, algorithm=""maxima"")","-\frac{1}{12} \, \sqrt{3} \log\left(-\frac{\sqrt{3} - 2 \, e^{x}}{\sqrt{3} + 2 \, e^{x}}\right)"," ",0,"-1/12*sqrt(3)*log(-(sqrt(3) - 2*e^x)/(sqrt(3) + 2*e^x))","A",0
640,1,25,0,2.084889," ","integrate(exp(x)*(3-4*exp(2*x))^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{-4 \, e^{\left(2 \, x\right)} + 3} e^{x} + \frac{3}{4} \, \arcsin\left(\frac{2}{3} \, \sqrt{3} e^{x}\right)"," ",0,"1/2*sqrt(-4*e^(2*x) + 3)*e^x + 3/4*arcsin(2/3*sqrt(3)*e^x)","A",0
641,1,11,0,0.772356," ","integrate(exp(x^2)*x^3,x, algorithm=""maxima"")","\frac{1}{2} \, {\left(x^{2} - 1\right)} e^{\left(x^{2}\right)}"," ",0,"1/2*(x^2 - 1)*e^(x^2)","A",0
642,1,20,0,1.770354," ","integrate(exp(x)*(1-exp(2*x))^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{-e^{\left(2 \, x\right)} + 1} e^{x} + \frac{1}{2} \, \arcsin\left(e^{x}\right)"," ",0,"1/2*sqrt(-e^(2*x) + 1)*e^x + 1/2*arcsin(e^x)","A",0
643,1,12,0,1.805179," ","integrate(exp(x)/(1+exp(x)+exp(2*x))^(1/2),x, algorithm=""maxima"")","\operatorname{arsinh}\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, e^{x} + 1\right)}\right)"," ",0,"arcsinh(1/3*sqrt(3)*(2*e^x + 1))","A",0
644,1,15,0,0.929129," ","integrate(exp(x)/(-4+exp(2*x)),x, algorithm=""maxima"")","-\frac{1}{4} \, \log\left(e^{x} + 2\right) + \frac{1}{4} \, \log\left(e^{x} - 2\right)"," ",0,"-1/4*log(e^x + 2) + 1/4*log(e^x - 2)","B",0
645,1,10,0,0.795949," ","integrate(exp(-x^2+2)*x,x, algorithm=""maxima"")","-\frac{1}{2} \, e^{\left(-x^{2} + 2\right)}"," ",0,"-1/2*e^(-x^2 + 2)","A",0
646,1,15,0,0.807138," ","integrate(exp(x)-x^E,x, algorithm=""maxima"")","-\frac{x^{E + 1}}{E + 1} + e^{x}"," ",0,"-x^(E + 1)/(E + 1) + e^x","A",0
647,1,13,0,0.954743," ","integrate((-1+exp(2*x))/(3+exp(2*x)),x, algorithm=""maxima"")","-\frac{1}{3} \, x + \frac{2}{3} \, \log\left(e^{\left(2 \, x\right)} + 3\right)"," ",0,"-1/3*x + 2/3*log(e^(2*x) + 3)","A",0
648,1,3,0,2.068245," ","integrate(exp(x)/(1-exp(2*x))^(1/2),x, algorithm=""maxima"")","\arcsin\left(e^{x}\right)"," ",0,"arcsin(e^x)","A",0
649,1,7,0,2.114489," ","integrate(exp(2*x)/(1+exp(4*x)),x, algorithm=""maxima"")","\frac{1}{2} \, \arctan\left(e^{\left(2 \, x\right)}\right)"," ",0,"1/2*arctan(e^(2*x))","A",0
650,1,17,0,0.742565," ","integrate(1/(-3*exp(x)+exp(2*x)),x, algorithm=""maxima"")","-\frac{1}{9} \, x + \frac{1}{3} \, e^{\left(-x\right)} + \frac{1}{9} \, \log\left(e^{x} - 3\right)"," ",0,"-1/9*x + 1/3*e^(-x) + 1/9*log(e^x - 3)","A",0
651,1,10,0,1.108231," ","integrate(exp(x)*(-2+exp(x))/(1+exp(x)),x, algorithm=""maxima"")","e^{x} - 3 \, \log\left(e^{x} + 1\right)"," ",0,"e^x - 3*log(e^x + 1)","A",0
652,1,15,0,0.773141," ","integrate(exp(x)/(-1+exp(2*x)),x, algorithm=""maxima"")","-\frac{1}{2} \, \log\left(e^{x} + 1\right) + \frac{1}{2} \, \log\left(e^{x} - 1\right)"," ",0,"-1/2*log(e^x + 1) + 1/2*log(e^x - 1)","B",0
653,1,3,0,1.686133," ","integrate(exp(x)/(1+exp(2*x)),x, algorithm=""maxima"")","\arctan\left(e^{x}\right)"," ",0,"arctan(e^x)","A",0
654,1,10,0,0.949852," ","integrate((exp(-x)+exp(x))/(-1/exp(x)+exp(x)),x, algorithm=""maxima"")","\log\left(e^{\left(-x\right)} - e^{x}\right)"," ",0,"log(e^(-x) - e^x)","A",0
655,1,8,0,0.878863," ","integrate((-1/exp(x)+exp(x))/(exp(-x)+exp(x)),x, algorithm=""maxima"")","\log\left(e^{\left(-x\right)} + e^{x}\right)"," ",0,"log(e^(-x) + e^x)","A",0
656,1,14,0,1.019408," ","integrate((exp(-2*x)+exp(2*x))/(-1/exp(2*x)+exp(2*x)),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(e^{\left(2 \, x\right)} - e^{\left(-2 \, x\right)}\right)"," ",0,"1/2*log(e^(2*x) - e^(-2*x))","A",0
657,1,3,0,1.649981," ","integrate(exp(x)/(1+exp(2*x))^(1/2),x, algorithm=""maxima"")","\operatorname{arsinh}\left(e^{x}\right)"," ",0,"arcsinh(e^x)","A",0
658,1,8,0,0.876024," ","integrate(exp((4+x)^(1/2))/(4+x)^(1/2),x, algorithm=""maxima"")","2 \, e^{\left(\sqrt{x + 4}\right)}"," ",0,"2*e^(sqrt(x + 4))","A",0
659,1,13,0,2.244746," ","integrate(x/(-1+exp(2*x^2))^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \arctan\left(\sqrt{e^{\left(2 \, x^{2}\right)} - 1}\right)"," ",0,"1/2*arctan(sqrt(e^(2*x^2) - 1))","A",0
660,1,20,0,2.012645," ","integrate(exp(x)*(9+exp(2*x))^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{e^{\left(2 \, x\right)} + 9} e^{x} + \frac{9}{2} \, \operatorname{arsinh}\left(\frac{1}{3} \, e^{x}\right)"," ",0,"1/2*sqrt(e^(2*x) + 9)*e^x + 9/2*arcsinh(1/3*e^x)","A",0
661,1,18,0,1.692675," ","integrate(exp(x)*(1+exp(2*x))^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{e^{\left(2 \, x\right)} + 1} e^{x} + \frac{1}{2} \, \operatorname{arsinh}\left(e^{x}\right)"," ",0,"1/2*sqrt(e^(2*x) + 1)*e^x + 1/2*arcsinh(e^x)","A",0
662,1,7,0,1.922377," ","integrate(exp(x^2)*x/(1+exp(2*x^2)),x, algorithm=""maxima"")","\frac{1}{2} \, \arctan\left(e^{\left(x^{2}\right)}\right)"," ",0,"1/2*arctan(e^(x^2))","A",0
663,1,11,0,0.680625," ","integrate(exp(x^(3/2))*x^2,x, algorithm=""maxima"")","\frac{2}{3} \, {\left(x^{\frac{3}{2}} - 1\right)} e^{\left(x^{\frac{3}{2}}\right)}"," ",0,"2/3*(x^(3/2) - 1)*e^(x^(3/2))","A",0
664,1,16,0,1.258105," ","integrate(exp(x)/(-3+exp(2*x))^(1/2),x, algorithm=""maxima"")","\log\left(2 \, \sqrt{e^{\left(2 \, x\right)} - 3} + 2 \, e^{x}\right)"," ",0,"log(2*sqrt(e^(2*x) - 3) + 2*e^x)","A",0
665,1,15,0,1.047968," ","integrate(exp(x)/(16-exp(2*x)),x, algorithm=""maxima"")","\frac{1}{8} \, \log\left(e^{x} + 4\right) - \frac{1}{8} \, \log\left(e^{x} - 4\right)"," ",0,"1/8*log(e^x + 4) - 1/8*log(e^x - 4)","B",0
666,1,7,0,2.282530," ","integrate(exp(5*x)/(1+exp(10*x)),x, algorithm=""maxima"")","\frac{1}{5} \, \arctan\left(e^{\left(5 \, x\right)}\right)"," ",0,"1/5*arctan(e^(5*x))","A",0
667,1,9,0,1.253355," ","integrate(exp(4*x)/(16+exp(8*x))^(1/2),x, algorithm=""maxima"")","\frac{1}{4} \, \operatorname{arsinh}\left(\frac{1}{4} \, e^{\left(4 \, x\right)}\right)"," ",0,"1/4*arcsinh(1/4*e^(4*x))","A",0
668,1,29,0,0.863633," ","integrate(exp(4*x^3)*x^2*cos(7*x^3),x, algorithm=""maxima"")","\frac{4}{195} \, \cos\left(7 \, x^{3}\right) e^{\left(4 \, x^{3}\right)} + \frac{7}{195} \, e^{\left(4 \, x^{3}\right)} \sin\left(7 \, x^{3}\right)"," ",0,"4/195*cos(7*x^3)*e^(4*x^3) + 7/195*e^(4*x^3)*sin(7*x^3)","A",0
669,1,8,0,0.906584," ","integrate(exp(x^2+1)*x,x, algorithm=""maxima"")","\frac{1}{2} \, e^{\left(x^{2} + 1\right)}"," ",0,"1/2*e^(x^2 + 1)","A",0
670,1,8,0,0.717883," ","integrate(exp(x^3+1)*x^2,x, algorithm=""maxima"")","\frac{1}{3} \, e^{\left(x^{3} + 1\right)}"," ",0,"1/3*e^(x^3 + 1)","A",0
671,1,6,0,0.880957," ","integrate(exp(x^(1/2))/x^(1/2),x, algorithm=""maxima"")","2 \, e^{\sqrt{x}}"," ",0,"2*e^sqrt(x)","A",0
672,1,6,0,0.946339," ","integrate(exp(x^(1/3))/x^(2/3),x, algorithm=""maxima"")","3 \, e^{\left(x^{\frac{1}{3}}\right)}"," ",0,"3*e^(x^(1/3))","A",0
673,1,59,0,0.856251," ","integrate(exp(3*x)*(x^5+2*x^3-8),x, algorithm=""maxima"")","\frac{1}{243} \, {\left(81 \, x^{5} - 135 \, x^{4} + 180 \, x^{3} - 180 \, x^{2} + 120 \, x - 40\right)} e^{\left(3 \, x\right)} + \frac{2}{27} \, {\left(9 \, x^{3} - 9 \, x^{2} + 6 \, x - 2\right)} e^{\left(3 \, x\right)} - \frac{8}{3} \, e^{\left(3 \, x\right)}"," ",0,"1/243*(81*x^5 - 135*x^4 + 180*x^3 - 180*x^2 + 120*x - 40)*e^(3*x) + 2/27*(9*x^3 - 9*x^2 + 6*x - 2)*e^(3*x) - 8/3*e^(3*x)","A",0
674,1,19,0,1.012381," ","integrate((x+exp(x))^2,x, algorithm=""maxima"")","\frac{1}{3} \, x^{3} + 2 \, {\left(x - 1\right)} e^{x} + \frac{1}{2} \, e^{\left(2 \, x\right)}"," ",0,"1/3*x^3 + 2*(x - 1)*e^x + 1/2*e^(2*x)","A",0
675,1,19,0,0.886330," ","integrate((exp(x)+exp(2*x)+exp(3*x))/exp(4*x),x, algorithm=""maxima"")","-e^{\left(-x\right)} - \frac{1}{2} \, e^{\left(-2 \, x\right)} - \frac{1}{3} \, e^{\left(-3 \, x\right)}"," ",0,"-e^(-x) - 1/2*e^(-2*x) - 1/3*e^(-3*x)","A",0
676,1,8,0,0.887653," ","integrate(exp(x)/(1+2*exp(x)+exp(2*x)),x, algorithm=""maxima"")","-\frac{1}{e^{x} + 1}"," ",0,"-1/(e^x + 1)","A",0
677,1,17,0,0.825971," ","integrate(cos(3*x)/exp(x),x, algorithm=""maxima"")","-\frac{1}{10} \, {\left(\cos\left(3 \, x\right) - 3 \, \sin\left(3 \, x\right)\right)} e^{\left(-x\right)}"," ",0,"-1/10*(cos(3*x) - 3*sin(3*x))*e^(-x)","A",0
678,1,15,0,0.725907," ","integrate(exp(2*x)/(2+3*exp(x)+exp(2*x)),x, algorithm=""maxima"")","2 \, \log\left(e^{x} + 2\right) - \log\left(e^{x} + 1\right)"," ",0,"2*log(e^x + 2) - log(e^x + 1)","A",0
679,1,10,0,0.876960," ","integrate(exp(2*x)/(1+exp(x)),x, algorithm=""maxima"")","e^{x} - \log\left(e^{x} + 1\right)"," ",0,"e^x - log(e^x + 1)","A",0
680,1,19,0,0.751482," ","integrate(exp(3*x)*cos(5*x),x, algorithm=""maxima"")","\frac{1}{34} \, {\left(3 \, \cos\left(5 \, x\right) + 5 \, \sin\left(5 \, x\right)\right)} e^{\left(3 \, x\right)}"," ",0,"1/34*(3*cos(5*x) + 5*sin(5*x))*e^(3*x)","A",0
681,1,4,0,0.873668," ","integrate(exp(x)*sech(exp(x)),x, algorithm=""maxima"")","\arctan\left(\sinh\left(e^{x}\right)\right)"," ",0,"arctan(sinh(e^x))","A",0
682,1,16,0,0.975511," ","integrate(1/exp(x)/(1+2*exp(x)),x, algorithm=""maxima"")","-e^{\left(-x\right)} + 2 \, \log\left(e^{\left(-x\right)} + 2\right)"," ",0,"-e^(-x) + 2*log(e^(-x) + 2)","A",0
683,1,19,0,0.861741," ","integrate(exp(x)*cos(4+3*x),x, algorithm=""maxima"")","\frac{1}{10} \, {\left(\cos\left(3 \, x + 4\right) + 3 \, \sin\left(3 \, x + 4\right)\right)} e^{x}"," ",0,"1/10*(cos(3*x + 4) + 3*sin(3*x + 4))*e^x","A",0
684,1,39,0,1.087854," ","integrate(exp(x)*sec(-1+exp(x))^3,x, algorithm=""maxima"")","-\frac{\sin\left(e^{x} - 1\right)}{2 \, {\left(\sin\left(e^{x} - 1\right)^{2} - 1\right)}} + \frac{1}{4} \, \log\left(\sin\left(e^{x} - 1\right) + 1\right) - \frac{1}{4} \, \log\left(\sin\left(e^{x} - 1\right) - 1\right)"," ",0,"-1/2*sin(e^x - 1)/(sin(e^x - 1)^2 - 1) + 1/4*log(sin(e^x - 1) + 1) - 1/4*log(sin(e^x - 1) - 1)","A",0
685,1,16,0,0.815722," ","integrate((exp(-x)+exp(x))*x,x, algorithm=""maxima"")","-{\left(x + 1\right)} e^{\left(-x\right)} + {\left(x - 1\right)} e^{x}"," ",0,"-(x + 1)*e^(-x) + (x - 1)*e^x","A",0
686,1,13,0,1.027689," ","integrate(exp(x)/(2+3*exp(x)+exp(2*x)),x, algorithm=""maxima"")","-\log\left(e^{x} + 2\right) + \log\left(e^{x} + 1\right)"," ",0,"-log(e^x + 2) + log(e^x + 1)","A",0
687,1,17,0,1.007410," ","integrate(exp(2*x)/(1+exp(x))^(1/3),x, algorithm=""maxima"")","\frac{3}{5} \, {\left(e^{x} + 1\right)}^{\frac{5}{3}} - \frac{3}{2} \, {\left(e^{x} + 1\right)}^{\frac{2}{3}}"," ",0,"3/5*(e^x + 1)^(5/3) - 3/2*(e^x + 1)^(2/3)","A",0
688,1,17,0,0.981206," ","integrate(exp(2*x)/(1+exp(x))^(1/4),x, algorithm=""maxima"")","\frac{4}{7} \, {\left(e^{x} + 1\right)}^{\frac{7}{4}} - \frac{4}{3} \, {\left(e^{x} + 1\right)}^{\frac{3}{4}}"," ",0,"4/7*(e^x + 1)^(7/4) - 4/3*(e^x + 1)^(3/4)","A",0
689,1,48,0,1.967847," ","integrate((-exp(x)+2*exp(2*x))/(-1-6*exp(x)+3*exp(2*x))^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, e^{\left(2 \, x\right)} - 6 \, e^{x} - 1} + 6 \, e^{x} - 6\right) + \frac{2}{3} \, \sqrt{3 \, e^{\left(2 \, x\right)} - 6 \, e^{x} - 1}"," ",0,"1/3*sqrt(3)*log(2*sqrt(3)*sqrt(3*e^(2*x) - 6*e^x - 1) + 6*e^x - 6) + 2/3*sqrt(3*e^(2*x) - 6*e^x - 1)","A",0
690,1,19,0,0.974957," ","integrate(exp(x)*(x^2-5*x),x, algorithm=""maxima"")","{\left(x^{2} - 2 \, x + 2\right)} e^{x} - 5 \, {\left(x - 1\right)} e^{x}"," ",0,"(x^2 - 2*x + 2)*e^x - 5*(x - 1)*e^x","A",0
691,1,28,0,0.952503," ","integrate(exp(3*x)*(x^2-x),x, algorithm=""maxima"")","\frac{1}{27} \, {\left(9 \, x^{2} - 6 \, x + 2\right)} e^{\left(3 \, x\right)} - \frac{1}{9} \, {\left(3 \, x - 1\right)} e^{\left(3 \, x\right)}"," ",0,"1/27*(9*x^2 - 6*x + 2)*e^(3*x) - 1/9*(3*x - 1)*e^(3*x)","A",0
692,1,10,0,1.297989," ","integrate(exp(x^x)*x^(2*x)*(1+log(x)),x, algorithm=""maxima"")","{\left(x^{x} - 1\right)} e^{\left(x^{x}\right)}"," ",0,"(x^x - 1)*e^(x^x)","A",0
693,1,6,0,1.050865," ","integrate((exp(5*x)+exp(7*x))/(exp(-x)+exp(x)),x, algorithm=""maxima"")","\frac{1}{6} \, e^{\left(6 \, x\right)}"," ",0,"1/6*e^(6*x)","A",0
694,1,9,0,1.380545," ","integrate(x^(-2-1/x)*(1-log(x)),x, algorithm=""maxima"")","-\frac{1}{x^{\left(\frac{1}{x}\right)}}"," ",0,"-1/x^(1/x)","A",0
695,1,21,0,0.999496," ","integrate((a+b*exp(x))^2,x, algorithm=""maxima"")","a^{2} x + \frac{1}{2} \, b^{2} e^{\left(2 \, x\right)} + 2 \, a b e^{x}"," ",0,"a^2*x + 1/2*b^2*e^(2*x) + 2*a*b*e^x","A",0
696,1,33,0,0.986290," ","integrate((a+b*exp(x))^3,x, algorithm=""maxima"")","a^{3} x + \frac{1}{3} \, b^{3} e^{\left(3 \, x\right)} + \frac{3}{2} \, a b^{2} e^{\left(2 \, x\right)} + 3 \, a^{2} b e^{x}"," ",0,"a^3*x + 1/3*b^3*e^(3*x) + 3/2*a*b^2*e^(2*x) + 3*a^2*b*e^x","A",0
697,1,45,0,0.929754," ","integrate((a+b*exp(x))^4,x, algorithm=""maxima"")","a^{4} x + \frac{1}{4} \, b^{4} e^{\left(4 \, x\right)} + \frac{4}{3} \, a b^{3} e^{\left(3 \, x\right)} + 3 \, a^{2} b^{2} e^{\left(2 \, x\right)} + 4 \, a^{3} b e^{x}"," ",0,"a^4*x + 1/4*b^4*e^(4*x) + 4/3*a*b^3*e^(3*x) + 3*a^2*b^2*e^(2*x) + 4*a^3*b*e^x","A",0
698,1,45,0,1.686721," ","integrate(1/(a+b*exp(d*x+c))^(1/2),x, algorithm=""maxima"")","\frac{\log\left(\frac{\sqrt{b e^{\left(d x + c\right)} + a} - \sqrt{a}}{\sqrt{b e^{\left(d x + c\right)} + a} + \sqrt{a}}\right)}{\sqrt{a} d}"," ",0,"log((sqrt(b*e^(d*x + c) + a) - sqrt(a))/(sqrt(b*e^(d*x + c) + a) + sqrt(a)))/(sqrt(a)*d)","A",0
699,1,27,0,2.032359," ","integrate(1/(-a+b*exp(d*x+c))^(1/2),x, algorithm=""maxima"")","\frac{2 \, \arctan\left(\frac{\sqrt{b e^{\left(d x + c\right)} - a}}{\sqrt{a}}\right)}{\sqrt{a} d}"," ",0,"2*arctan(sqrt(b*e^(d*x + c) - a)/sqrt(a))/(sqrt(a)*d)","A",0
700,1,63,0,2.383076," ","integrate((a+b*exp(d*x+c))^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{a} \log\left(\frac{\sqrt{b e^{\left(d x + c\right)} + a} - \sqrt{a}}{\sqrt{b e^{\left(d x + c\right)} + a} + \sqrt{a}}\right)}{d} + \frac{2 \, \sqrt{b e^{\left(d x + c\right)} + a}}{d}"," ",0,"sqrt(a)*log((sqrt(b*e^(d*x + c) + a) - sqrt(a))/(sqrt(b*e^(d*x + c) + a) + sqrt(a)))/d + 2*sqrt(b*e^(d*x + c) + a)/d","A",0
701,1,47,0,2.192165," ","integrate((-a+b*exp(d*x+c))^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{a} \arctan\left(\frac{\sqrt{b e^{\left(d x + c\right)} - a}}{\sqrt{a}}\right)}{d} + \frac{2 \, \sqrt{b e^{\left(d x + c\right)} - a}}{d}"," ",0,"-2*sqrt(a)*arctan(sqrt(b*e^(d*x + c) - a)/sqrt(a))/d + 2*sqrt(b*e^(d*x + c) - a)/d","A",0
702,1,17,0,0.932827," ","integrate(exp(6*x)*sin(3*x),x, algorithm=""maxima"")","-\frac{1}{15} \, {\left(\cos\left(3 \, x\right) - 2 \, \sin\left(3 \, x\right)\right)} e^{\left(6 \, x\right)}"," ",0,"-1/15*(cos(3*x) - 2*sin(3*x))*e^(6*x)","A",0
703,1,8,0,1.928244," ","integrate(exp(3*x)/(1+exp(2*x)),x, algorithm=""maxima"")","-\arctan\left(e^{x}\right) + e^{x}"," ",0,"-arctan(e^x) + e^x","A",0
704,1,17,0,0.946115," ","integrate(exp(3*x)/(-1+exp(2*x)),x, algorithm=""maxima"")","e^{x} - \frac{1}{2} \, \log\left(e^{x} + 1\right) + \frac{1}{2} \, \log\left(e^{x} - 1\right)"," ",0,"e^x - 1/2*log(e^x + 1) + 1/2*log(e^x - 1)","B",0
705,1,14,0,0.987225," ","integrate(1/exp(x)/(1+exp(2*x))^(1/2),x, algorithm=""maxima"")","-\sqrt{e^{\left(2 \, x\right)} + 1} e^{\left(-x\right)}"," ",0,"-sqrt(e^(2*x) + 1)*e^(-x)","A",0
706,1,26,0,2.067039," ","integrate(exp(x)/(-1-8*exp(x)+exp(2*x)),x, algorithm=""maxima"")","\frac{1}{34} \, \sqrt{17} \log\left(-\frac{\sqrt{17} - e^{x} + 4}{\sqrt{17} + e^{x} - 4}\right)"," ",0,"1/34*sqrt(17)*log(-(sqrt(17) - e^x + 4)/(sqrt(17) + e^x - 4))","A",0
707,1,21,0,0.848055," ","integrate(exp(7*x)*x^3,x, algorithm=""maxima"")","\frac{1}{2401} \, {\left(343 \, x^{3} - 147 \, x^{2} + 42 \, x - 6\right)} e^{\left(7 \, x\right)}"," ",0,"1/2401*(343*x^3 - 147*x^2 + 42*x - 6)*e^(7*x)","A",0
708,1,30,0,0.970795," ","integrate(exp(8-2*x)*x^3,x, algorithm=""maxima"")","-\frac{1}{8} \, {\left(4 \, x^{3} e^{8} + 6 \, x^{2} e^{8} + 6 \, x e^{8} + 3 \, e^{8}\right)} e^{\left(-2 \, x\right)}"," ",0,"-1/8*(4*x^3*e^8 + 6*x^2*e^8 + 6*x*e^8 + 3*e^8)*e^(-2*x)","A",0
709,1,22,0,2.307871," ","integrate(exp(x)*(9-exp(2*x))^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{-e^{\left(2 \, x\right)} + 9} e^{x} + \frac{9}{2} \, \arcsin\left(\frac{1}{3} \, e^{x}\right)"," ",0,"1/2*sqrt(-e^(2*x) + 9)*e^x + 9/2*arcsin(1/3*e^x)","A",0
710,1,37,0,0.820210," ","integrate(exp(6*x)*(9-exp(2*x))^(1/2),x, algorithm=""maxima"")","-\frac{1}{7} \, {\left(-e^{\left(2 \, x\right)} + 9\right)}^{\frac{7}{2}} + \frac{18}{5} \, {\left(-e^{\left(2 \, x\right)} + 9\right)}^{\frac{5}{2}} - 27 \, {\left(-e^{\left(2 \, x\right)} + 9\right)}^{\frac{3}{2}}"," ",0,"-1/7*(-e^(2*x) + 9)^(7/2) + 18/5*(-e^(2*x) + 9)^(5/2) - 27*(-e^(2*x) + 9)^(3/2)","A",0
711,1,61,0,0.969168," ","integrate(exp(6*x)/(9-exp(x))^(5/2),x, algorithm=""maxima"")","\frac{2}{7} \, {\left(-e^{x} + 9\right)}^{\frac{7}{2}} - 18 \, {\left(-e^{x} + 9\right)}^{\frac{5}{2}} + 540 \, {\left(-e^{x} + 9\right)}^{\frac{3}{2}} - 14580 \, \sqrt{-e^{x} + 9} - \frac{65610}{\sqrt{-e^{x} + 9}} + \frac{39366}{{\left(-e^{x} + 9\right)}^{\frac{3}{2}}}"," ",0,"2/7*(-e^x + 9)^(7/2) - 18*(-e^x + 9)^(5/2) + 540*(-e^x + 9)^(3/2) - 14580*sqrt(-e^x + 9) - 65610/sqrt(-e^x + 9) + 39366/(-e^x + 9)^(3/2)","A",0
712,1,44,0,0.826253," ","integrate((2-7*exp(x^4))^5*x^3,x, algorithm=""maxima"")","8 \, x^{4} - \frac{16807}{20} \, e^{\left(5 \, x^{4}\right)} + \frac{12005}{8} \, e^{\left(4 \, x^{4}\right)} - \frac{3430}{3} \, e^{\left(3 \, x^{4}\right)} + 490 \, e^{\left(2 \, x^{4}\right)} - 140 \, e^{\left(x^{4}\right)}"," ",0,"8*x^4 - 16807/20*e^(5*x^4) + 12005/8*e^(4*x^4) - 3430/3*e^(3*x^4) + 490*e^(2*x^4) - 140*e^(x^4)","A",0
713,1,26,0,2.202340," ","integrate(exp(x^2)*x*(1-exp(2*x^2))^(1/2),x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{-e^{\left(2 \, x^{2}\right)} + 1} e^{\left(x^{2}\right)} + \frac{1}{4} \, \arcsin\left(e^{\left(x^{2}\right)}\right)"," ",0,"1/4*sqrt(-e^(2*x^2) + 1)*e^(x^2) + 1/4*arcsin(e^(x^2))","A",0
714,1,23,0,0.812733," ","integrate(exp(x^3)*(1-exp(4*x^3))^2*x^2,x, algorithm=""maxima"")","\frac{1}{27} \, e^{\left(9 \, x^{3}\right)} - \frac{2}{15} \, e^{\left(5 \, x^{3}\right)} + \frac{1}{3} \, e^{\left(x^{3}\right)}"," ",0,"1/27*e^(9*x^3) - 2/15*e^(5*x^3) + 1/3*e^(x^3)","A",0
715,1,3,0,0.935264," ","integrate(exp(x+exp(x)),x, algorithm=""maxima"")","e^{\left(e^{x}\right)}"," ",0,"e^(e^x)","A",0
716,1,4,0,0.661914," ","integrate(exp(exp(exp(x))+exp(x)+x),x, algorithm=""maxima"")","e^{\left(e^{\left(e^{x}\right)}\right)}"," ",0,"e^(e^(e^x))","A",0
717,1,16,0,0.744668," ","integrate((exp(-x)+exp(x))^2,x, algorithm=""maxima"")","2 \, x + \frac{1}{2} \, e^{\left(2 \, x\right)} - \frac{1}{2} \, e^{\left(-2 \, x\right)}"," ",0,"2*x + 1/2*e^(2*x) - 1/2*e^(-2*x)","A",0
718,1,7,0,2.162055," ","integrate(1/(exp(-x)+exp(x)),x, algorithm=""maxima"")","-\arctan\left(e^{\left(-x\right)}\right)"," ",0,"-arctan(e^(-x))","B",0
719,1,10,0,0.865415," ","integrate(1/(exp(-x)+exp(x))^2,x, algorithm=""maxima"")","\frac{1}{2 \, {\left(e^{\left(-2 \, x\right)} + 1\right)}}"," ",0,"1/2/(e^(-2*x) + 1)","A",0
720,1,19,0,0.956632," ","integrate(1/(-1/exp(x)+exp(x)),x, algorithm=""maxima"")","-\frac{1}{2} \, \log\left(e^{\left(-x\right)} + 1\right) + \frac{1}{2} \, \log\left(e^{\left(-x\right)} - 1\right)"," ",0,"-1/2*log(e^(-x) + 1) + 1/2*log(e^(-x) - 1)","B",0
721,1,10,0,0.999751," ","integrate(1/(-1/exp(x)+exp(x))^2,x, algorithm=""maxima"")","\frac{1}{2 \, {\left(e^{\left(-2 \, x\right)} - 1\right)}}"," ",0,"1/2/(e^(-2*x) - 1)","A",0
722,1,21,0,0.483796," ","integrate(exp(x)*(-1/exp(x)+exp(x))^2,x, algorithm=""maxima"")","-\frac{1}{3} \, {\left(6 \, e^{\left(-2 \, x\right)} - 1\right)} e^{\left(3 \, x\right)} - e^{\left(-x\right)}"," ",0,"-1/3*(6*e^(-2*x) - 1)*e^(3*x) - e^(-x)","A",0
723,1,24,0,0.888291," ","integrate(exp(x)*(-1/exp(x)+exp(x))^3,x, algorithm=""maxima"")","-\frac{1}{4} \, {\left(6 \, e^{\left(-2 \, x\right)} - 1\right)} e^{\left(4 \, x\right)} + 3 \, x + \frac{1}{2} \, e^{\left(-2 \, x\right)}"," ",0,"-1/4*(6*e^(-2*x) - 1)*e^(4*x) + 3*x + 1/2*e^(-2*x)","A",0
724,1,22,0,1.910943," ","integrate((1+4^x)/(1+2^x),x, algorithm=""maxima"")","x + \frac{2^{x}}{\log\left(2\right)} - \frac{2 \, \log\left(2^{x} + 1\right)}{\log\left(2\right)}"," ",0,"x + 2^x/log(2) - 2*log(2^x + 1)/log(2)","A",0
725,1,40,0,2.143941," ","integrate((1+4^x)/(1+1/(2^x)),x, algorithm=""maxima"")","2 \, x - \frac{2^{2 \, x - 1} {\left(2^{-x + 1} - 1\right)}}{\log\left(2\right)} + \frac{2 \, \log\left(\frac{1}{2^{x}} + 1\right)}{\log\left(2\right)}"," ",0,"2*x - 2^(2*x - 1)*(2^(-x + 1) - 1)/log(2) + 2*log(1/2^x + 1)/log(2)","A",0
726,0,0,0,0.000000," ","integrate(exp((a+x)^2)/x^2-2*a*exp((a+x)^2)/x,x, algorithm=""maxima"")","\int -\frac{2 \, a e^{\left({\left(a + x\right)}^{2}\right)}}{x} + \frac{e^{\left({\left(a + x\right)}^{2}\right)}}{x^{2}}\,{d x}"," ",0,"integrate(-2*a*e^((a + x)^2)/x + e^((a + x)^2)/x^2, x)","F",0
727,1,74,0,0.982515," ","integrate((x^8+x^6+x^4)/exp(x^2),x, algorithm=""maxima"")","-\frac{1}{16} \, {\left(8 \, x^{7} + 28 \, x^{5} + 70 \, x^{3} + 105 \, x\right)} e^{\left(-x^{2}\right)} - \frac{1}{8} \, {\left(4 \, x^{5} + 10 \, x^{3} + 15 \, x\right)} e^{\left(-x^{2}\right)} - \frac{1}{4} \, {\left(2 \, x^{3} + 3 \, x\right)} e^{\left(-x^{2}\right)} + \frac{147}{32} \, \sqrt{\pi} \operatorname{erf}\left(x\right)"," ",0,"-1/16*(8*x^7 + 28*x^5 + 70*x^3 + 105*x)*e^(-x^2) - 1/8*(4*x^5 + 10*x^3 + 15*x)*e^(-x^2) - 1/4*(2*x^3 + 3*x)*e^(-x^2) + 147/32*sqrt(pi)*erf(x)","A",0
728,1,19,0,0.918255," ","integrate(1/(-exp(x)+exp(3*x)),x, algorithm=""maxima"")","e^{\left(-x\right)} - \frac{1}{2} \, \log\left(e^{x} + 1\right) + \frac{1}{2} \, \log\left(e^{x} - 1\right)"," ",0,"e^(-x) - 1/2*log(e^x + 1) + 1/2*log(e^x - 1)","A",0
729,0,0,0,0.000000," ","integrate(exp(x)*(x^2+x-5)/(-1+x)^2,x, algorithm=""maxima"")","\frac{{\left(x^{2} + x\right)} e^{x}}{x^{2} - 2 \, x + 1} + \frac{5 \, e E_{2}\left(-x + 1\right)}{x - 1} + \int \frac{{\left(3 \, x + 1\right)} e^{x}}{x^{3} - 3 \, x^{2} + 3 \, x - 1}\,{d x}"," ",0,"(x^2 + x)*e^x/(x^2 - 2*x + 1) + 5*e*exp_integral_e(2, -x + 1)/(x - 1) + integrate((3*x + 1)*e^x/(x^3 - 3*x^2 + 3*x - 1), x)","F",0
730,1,13,0,1.090266," ","integrate(exp(x^2)*x^3/(x^2+1)^2,x, algorithm=""maxima"")","\frac{e^{\left(x^{2}\right)}}{2 \, {\left(x^{2} + 1\right)}}"," ",0,"1/2*e^(x^2)/(x^2 + 1)","A",0
731,1,74,0,1.050223," ","integrate(exp(3*x)/(25+16*exp(2*x))^(1/2),x, algorithm=""maxima"")","\frac{25 \, \sqrt{16 \, e^{\left(2 \, x\right)} + 25} e^{\left(-x\right)}}{32 \, {\left({\left(16 \, e^{\left(2 \, x\right)} + 25\right)} e^{\left(-2 \, x\right)} - 16\right)}} - \frac{25}{256} \, \log\left(\sqrt{16 \, e^{\left(2 \, x\right)} + 25} e^{\left(-x\right)} + 4\right) + \frac{25}{256} \, \log\left(\sqrt{16 \, e^{\left(2 \, x\right)} + 25} e^{\left(-x\right)} - 4\right)"," ",0,"25/32*sqrt(16*e^(2*x) + 25)*e^(-x)/((16*e^(2*x) + 25)*e^(-2*x) - 16) - 25/256*log(sqrt(16*e^(2*x) + 25)*e^(-x) + 4) + 25/256*log(sqrt(16*e^(2*x) + 25)*e^(-x) - 4)","B",0
732,1,8,0,0.947532," ","integrate((1+exp(x))/(x+exp(x))^(1/2),x, algorithm=""maxima"")","2 \, \sqrt{x + e^{x}}"," ",0,"2*sqrt(x + e^x)","A",0
733,1,5,0,0.997158," ","integrate((1+exp(x))/(x+exp(x)),x, algorithm=""maxima"")","\log\left(x + e^{x}\right)"," ",0,"log(x + e^x)","A",0
734,1,19,0,1.147499," ","integrate(exp(x^2)/x^2,x, algorithm=""maxima"")","-\frac{\sqrt{-x^{2}} \Gamma\left(-\frac{1}{2}, -x^{2}\right)}{2 \, x}"," ",0,"-1/2*sqrt(-x^2)*gamma(-1/2, -x^2)/x","A",0
735,1,36,0,0.739081," ","integrate(exp(x^2)*(4*x^4+1)/x^2,x, algorithm=""maxima"")","2 \, x e^{\left(x^{2}\right)} + i \, \sqrt{\pi} \operatorname{erf}\left(i \, x\right) - \frac{\sqrt{-x^{2}} \Gamma\left(-\frac{1}{2}, -x^{2}\right)}{2 \, x}"," ",0,"2*x*e^(x^2) + I*sqrt(pi)*erf(I*x) - 1/2*sqrt(-x^2)*gamma(-1/2, -x^2)/x","C",0
736,1,63,0,0.914387," ","integrate((b*x+a)^2*(f^x)^(1/2),x, algorithm=""maxima"")","\frac{4 \, {\left(x \log\left(f\right) - 2\right)} a b f^{\frac{1}{2} \, x}}{\log\left(f\right)^{2}} + \frac{2 \, a^{2} f^{\frac{1}{2} \, x}}{\log\left(f\right)} + \frac{2 \, {\left(x^{2} \log\left(f\right)^{2} - 4 \, x \log\left(f\right) + 8\right)} b^{2} f^{\frac{1}{2} \, x}}{\log\left(f\right)^{3}}"," ",0,"4*(x*log(f) - 2)*a*b*f^(1/2*x)/log(f)^2 + 2*a^2*f^(1/2*x)/log(f) + 2*(x^2*log(f)^2 - 4*x*log(f) + 8)*b^2*f^(1/2*x)/log(f)^3","A",0
737,1,13,0,0.487367," ","integrate(3^(x^2+1)*x,x, algorithm=""maxima"")","\frac{3^{x^{2} + 1}}{2 \, \log\left(3\right)}"," ",0,"1/2*3^(x^2 + 1)/log(3)","A",0
738,1,12,0,0.781051," ","integrate(2^(x^(1/2))/x^(1/2),x, algorithm=""maxima"")","\frac{2^{\sqrt{x} + 1}}{\log\left(2\right)}"," ",0,"2^(sqrt(x) + 1)/log(2)","A",0
739,1,11,0,0.986907," ","integrate(2^(1/x)/x^2,x, algorithm=""maxima"")","-\frac{2^{\left(\frac{1}{x}\right)}}{\log\left(2\right)}"," ",0,"-2^(1/x)/log(2)","A",0
740,1,20,0,0.645011," ","integrate(1/(2^x)+2^x,x, algorithm=""maxima"")","\frac{2^{x}}{\log\left(2\right)} - \frac{1}{2^{x} \log\left(2\right)}"," ",0,"2^x/log(2) - 1/(2^x*log(2))","A",0
741,1,34,0,0.532407," ","integrate((x^2-3*x+2)/exp(4*x),x, algorithm=""maxima"")","-\frac{1}{32} \, {\left(8 \, x^{2} + 4 \, x + 1\right)} e^{\left(-4 \, x\right)} + \frac{3}{16} \, {\left(4 \, x + 1\right)} e^{\left(-4 \, x\right)} - \frac{1}{2} \, e^{\left(-4 \, x\right)}"," ",0,"-1/32*(8*x^2 + 4*x + 1)*e^(-4*x) + 3/16*(4*x + 1)*e^(-4*x) - 1/2*e^(-4*x)","A",0
742,1,27,0,1.191581," ","integrate(k^(1/2*x)+x^(k^(1/2)),x, algorithm=""maxima"")","\frac{x^{\sqrt{k} + 1}}{\sqrt{k} + 1} + \frac{2 \, k^{\frac{1}{2} \, x}}{\log\left(k\right)}"," ",0,"x^(sqrt(k) + 1)/(sqrt(k) + 1) + 2*k^(1/2*x)/log(k)","A",0
743,1,11,0,1.083017," ","integrate(10^(x^(1/2))/x^(1/2),x, algorithm=""maxima"")","\frac{2 \cdot 10^{\left(\sqrt{x}\right)}}{\log\left(10\right)}"," ",0,"2*10^sqrt(x)/log(10)","A",0
744,1,8,0,1.310720," ","integrate(exp(x)/(x+exp(x))^(1/2)+1/(x+exp(x))^(1/2),x, algorithm=""maxima"")","2 \, \sqrt{x + e^{x}}"," ",0,"2*sqrt(x + e^x)","A",0
745,1,16,0,1.239042," ","integrate((1+exp(x))*x/(x+exp(x))^(1/2)+2*(x+exp(x))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(x^{2} + x e^{x}\right)}}{\sqrt{x + e^{x}}}"," ",0,"2*(x^2 + x*e^x)/sqrt(x + e^x)","A",0
746,1,9,0,1.158478," ","integrate(x/(x+exp(x))^(1/2)+exp(x)*x/(x+exp(x))^(1/2)+2*(x+exp(x))^(1/2),x, algorithm=""maxima"")","2 \, \sqrt{x + e^{x}} x"," ",0,"2*sqrt(x + e^x)*x","A",0
747,0,0,0,0.000000," ","integrate((1+exp(x))*x/(x+exp(x))^(1/2),x, algorithm=""maxima"")","\int \frac{x {\left(e^{x} + 1\right)}}{\sqrt{x + e^{x}}}\,{d x}"," ",0,"integrate(x*(e^x + 1)/sqrt(x + e^x), x)","F",0
748,0,0,0,0.000000," ","integrate(x/(x+exp(x))^(1/2)+exp(x)*x/(x+exp(x))^(1/2),x, algorithm=""maxima"")","\int \frac{x e^{x}}{\sqrt{x + e^{x}}} + \frac{x}{\sqrt{x + e^{x}}}\,{d x}"," ",0,"integrate(x*e^x/sqrt(x + e^x) + x/sqrt(x + e^x), x)","F",0
749,0,0,0,0.000000," ","integrate(exp(x)*x/(x+exp(x))^(1/2),x, algorithm=""maxima"")","\int \frac{x e^{x}}{\sqrt{x + e^{x}}}\,{d x}"," ",0,"integrate(x*e^x/sqrt(x + e^x), x)","F",0
750,1,23,0,1.312758," ","integrate(1/5*x^2*(5*exp(x)+3*x^2)/(5*exp(x)+x^3)^(1/2)+4/5*x*(5*exp(x)+x^3)^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(x^{5} + 5 \, x^{2} e^{x}\right)}}{5 \, \sqrt{x^{3} + 5 \, e^{x}}}"," ",0,"2/5*(x^5 + 5*x^2*e^x)/sqrt(x^3 + 5*e^x)","A",0
751,0,0,0,0.000000," ","integrate(exp(x)*x^2/(5*exp(x)+x^3)^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2} e^{x}}{\sqrt{x^{3} + 5 \, e^{x}}}\,{d x}"," ",0,"integrate(x^2*e^x/sqrt(x^3 + 5*e^x), x)","F",0
752,1,8,0,0.575408," ","integrate((-1-exp(x))/(x+exp(x))^(1/3),x, algorithm=""maxima"")","-\frac{3}{2} \, {\left(x + e^{x}\right)}^{\frac{2}{3}}"," ",0,"-3/2*(x + e^x)^(2/3)","A",0
753,1,8,0,1.202224," ","integrate(-1/(x+exp(x))^(1/3)+x/(x+exp(x))^(1/3)-(x+exp(x))^(2/3),x, algorithm=""maxima"")","-\frac{3}{2} \, {\left(x + e^{x}\right)}^{\frac{2}{3}}"," ",0,"-3/2*(x + e^x)^(2/3)","A",0
754,0,0,0,0.000000," ","integrate(x/(x+exp(x))^(1/3),x, algorithm=""maxima"")","\int \frac{x}{{\left(x + e^{x}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x/(x + e^x)^(1/3), x)","F",0
755,1,16,0,1.161810," ","integrate((5*x+exp(x)*(3+2*x))/(x+exp(x))^(1/3),x, algorithm=""maxima"")","\frac{3 \, {\left(x^{2} + x e^{x}\right)}}{{\left(x + e^{x}\right)}^{\frac{1}{3}}}"," ",0,"3*(x^2 + x*e^x)/(x + e^x)^(1/3)","A",0
756,1,16,0,1.506429," ","integrate(2*x/(x+exp(x))^(1/3)+2*exp(x)*x/(x+exp(x))^(1/3)+3*(x+exp(x))^(2/3),x, algorithm=""maxima"")","\frac{3 \, {\left(x^{2} + x e^{x}\right)}}{{\left(x + e^{x}\right)}^{\frac{1}{3}}}"," ",0,"3*(x^2 + x*e^x)/(x + e^x)^(1/3)","A",0
757,1,24,0,0.936918," ","integrate(exp(x)*(-1/exp(x)+exp(x))*(exp(-x)+exp(x))^2,x, algorithm=""maxima"")","\frac{1}{4} \, {\left(2 \, e^{\left(-2 \, x\right)} + 1\right)} e^{\left(4 \, x\right)} - x + \frac{1}{2} \, e^{\left(-2 \, x\right)}"," ",0,"1/4*(2*e^(-2*x) + 1)*e^(4*x) - x + 1/2*e^(-2*x)","A",0
758,0,0,0,0.000000," ","integrate(x/(x+exp(x)),x, algorithm=""maxima"")","\int \frac{x}{x + e^{x}}\,{d x}"," ",0,"integrate(x/(x + e^x), x)","F",0
759,0,0,0,0.000000," ","integrate(x^2/(x+exp(x))^(1/2),x, algorithm=""maxima"")","\int \frac{x^{2}}{\sqrt{x + e^{x}}}\,{d x}"," ",0,"integrate(x^2/sqrt(x + e^x), x)","F",0
760,0,0,0,0.000000," ","integrate(exp(x)/(x+exp(x)),x, algorithm=""maxima"")","x - \int \frac{x}{x + e^{x}}\,{d x}"," ",0,"x - integrate(x/(x + e^x), x)","F",0
761,0,0,0,0.000000," ","integrate(exp(x)/(exp(x)+x^2),x, algorithm=""maxima"")","x - \int \frac{x^{2}}{x^{2} + e^{x}}\,{d x}"," ",0,"x - integrate(x^2/(x^2 + e^x), x)","F",0
762,0,0,0,0.000000," ","integrate(F0(x)/(x+F0(x)),x, algorithm=""maxima"")","\int \frac{F_{0}\left(x\right)}{x + F_{0}\left(x\right)}\,{d x}"," ",0,"integrate(F0(x)/(x + F0(x)), x)","F",0
763,0,0,0,0.000000," ","integrate(F0(x)/(x^2+F0(x)),x, algorithm=""maxima"")","\int \frac{F_{0}\left(x\right)}{x^{2} + F_{0}\left(x\right)}\,{d x}"," ",0,"integrate(F0(x)/(x^2 + F0(x)), x)","F",0
764,0,0,0,0.000000," ","integrate(F0(x)/(x+F0(x))^2,x, algorithm=""maxima"")","\int \frac{F_{0}\left(x\right)}{{\left(x + F_{0}\left(x\right)\right)}^{2}}\,{d x}"," ",0,"integrate(F0(x)/(x + F0(x))^2, x)","F",0
765,0,0,0,0.000000," ","integrate(F0(x)/(x^2+F0(x))^2,x, algorithm=""maxima"")","\int \frac{F_{0}\left(x\right)}{{\left(x^{2} + F_{0}\left(x\right)\right)}^{2}}\,{d x}"," ",0,"integrate(F0(x)/(x^2 + F0(x))^2, x)","F",0
766,1,65,0,0.877094," ","integrate((a*F^(d*x+c))^m*(b*F^(f*x+e))^n,x, algorithm=""maxima"")","\frac{{\left(F^{e}\right)}^{n} a^{m} b^{n} e^{\left(m \log\left(F^{d x + c}\right) + n \log\left({\left(F^{d x + c}\right)}^{\frac{f}{d}}\right)\right)}}{{\left(d m + f n\right)} {\left(F^{\frac{c f}{d}}\right)}^{n} \log\left(F\right)}"," ",0,"(F^e)^n*a^m*b^n*e^(m*log(F^(d*x + c)) + n*log((F^(d*x + c))^(f/d)))/((d*m + f*n)*(F^(c*f/d))^n*log(F))","A",0
767,1,36,0,0.989999," ","integrate(exp(a+c+b*x^n+d*x^n),x, algorithm=""maxima"")","-\frac{x e^{\left(a + c\right)} \Gamma\left(\frac{1}{n}, -{\left(b + d\right)} x^{n}\right)}{\left(-{\left(b + d\right)} x^{n}\right)^{\left(\frac{1}{n}\right)} n}"," ",0,"-x*e^(a + c)*gamma(1/n, -(b + d)*x^n)/((-(b + d)*x^n)^(1/n)*n)","A",0
768,1,50,0,1.248487," ","integrate(f^(a+b*x^n)*g^(c+d*x^n),x, algorithm=""maxima"")","-\frac{f^{a} g^{c} x \Gamma\left(\frac{1}{n}, -{\left(b \log\left(f\right) + d \log\left(g\right)\right)} x^{n}\right)}{\left(-{\left(b \log\left(f\right) + d \log\left(g\right)\right)} x^{n}\right)^{\left(\frac{1}{n}\right)} n}"," ",0,"-f^a*g^c*x*gamma(1/n, -(b*log(f) + d*log(g))*x^n)/((-(b*log(f) + d*log(g))*x^n)^(1/n)*n)","A",0
769,1,38,0,0.983172," ","integrate(exp(x^n)*x^m,x, algorithm=""maxima"")","-\frac{x^{m + 1} \Gamma\left(\frac{m + 1}{n}, -x^{n}\right)}{n \left(-x^{n}\right)^{\frac{m + 1}{n}}}"," ",0,"-x^(m + 1)*gamma((m + 1)/n, -x^n)/(n*(-x^n)^((m + 1)/n))","A",0
770,1,42,0,1.011342," ","integrate(f^(x^n)*x^m,x, algorithm=""maxima"")","-\frac{x^{m + 1} \Gamma\left(\frac{m + 1}{n}, -x^{n} \log\left(f\right)\right)}{\left(-x^{n} \log\left(f\right)\right)^{\frac{m + 1}{n}} n}"," ",0,"-x^(m + 1)*gamma((m + 1)/n, -x^n*log(f))/((-x^n*log(f))^((m + 1)/n)*n)","A",0
771,0,0,0,0.000000," ","integrate(exp((b*x+a)^n)*(b*x+a)^m,x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{m} e^{\left({\left(b x + a\right)}^{n}\right)}\,{d x}"," ",0,"integrate((b*x + a)^m*e^((b*x + a)^n), x)","F",0
772,0,0,0,0.000000," ","integrate(f^((b*x+a)^n)*(b*x+a)^m,x, algorithm=""maxima"")","\int {\left(b x + a\right)}^{m} f^{\left({\left(b x + a\right)}^{n}\right)}\,{d x}"," ",0,"integrate((b*x + a)^m*f^((b*x + a)^n), x)","F",0
773,0,0,0,0.000000," ","integrate(exp((b*x+a)^3)*x,x, algorithm=""maxima"")","\int x e^{\left({\left(b x + a\right)}^{3}\right)}\,{d x}"," ",0,"integrate(x*e^((b*x + a)^3), x)","F",0
774,1,21,0,0.900828," ","integrate((5*x^2+3*(x+exp(x))^(1/3)+exp(x)*(2*x^2+3*x))/x/(x+exp(x))^(1/3),x, algorithm=""maxima"")","\frac{3 \, {\left(x^{2} + x e^{x}\right)}}{{\left(x + e^{x}\right)}^{\frac{1}{3}}} + 3 \, \log\left(x\right)"," ",0,"3*(x^2 + x*e^x)/(x + e^x)^(1/3) + 3*log(x)","A",0
