1,1,9,0,0.239200," ","integrate(exp(x)/(4+6*exp(x)),x, algorithm=""giac"")","\frac{1}{6} \, \log\left(3 \, e^{x} + 2\right)"," ",0,"1/6*log(3*e^x + 2)","A",0
2,1,12,0,0.354043," ","integrate(exp(x)/(a+b*exp(x)),x, algorithm=""giac"")","\frac{\log\left({\left| b e^{x} + a \right|}\right)}{b}"," ",0,"log(abs(b*e^x + a))/b","A",0
3,1,23,0,0.257823," ","integrate(exp(d*x)/(a+b*exp(d*x+c)),x, algorithm=""giac"")","\frac{e^{\left(-c\right)} \log\left({\left| b e^{\left(d x + c\right)} + a \right|}\right)}{b d}"," ",0,"e^(-c)*log(abs(b*e^(d*x + c) + a))/(b*d)","A",0
4,1,19,0,0.344227," ","integrate(exp(d*x+c)/(a+b*exp(d*x+c)),x, algorithm=""giac"")","\frac{\log\left({\left| b e^{\left(d x + c\right)} + a \right|}\right)}{b d}"," ",0,"log(abs(b*e^(d*x + c) + a))/(b*d)","A",0
5,1,19,0,0.319788," ","integrate(exp(x)*(a+b*exp(x))^n,x, algorithm=""giac"")","\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
6,1,38,0,0.389493," ","integrate(exp(d*x)*(a+b*exp(d*x+c))^n,x, algorithm=""giac"")","\frac{{\left(b e^{\left(d x + c\right)} + a\right)} {\left(b e^{\left(d x + c\right)} + a\right)}^{n} e^{\left(-c\right)}}{b d {\left(n + 1\right)}}"," ",0,"(b*e^(d*x + c) + a)*(b*e^(d*x + c) + a)^n*e^(-c)/(b*d*(n + 1))","A",0
7,1,26,0,0.342811," ","integrate(exp(d*x+c)*(a+b*exp(d*x+c))^n,x, algorithm=""giac"")","\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
8,1,17,0,0.290589," ","integrate(F^x/(a+b*F^x),x, algorithm=""giac"")","\frac{\log\left({\left| F^{x} b + a \right|}\right)}{b \log\left(F\right)}"," ",0,"log(abs(F^x*b + a))/(b*log(F))","A",0
9,1,30,0,0.315362," ","integrate(F^(d*x)/(a+b*F^(d*x+c)),x, algorithm=""giac"")","\frac{\log\left({\left| F^{d x} F^{c} b + a \right|}\right)}{F^{c} b d \log\left(F\right)}"," ",0,"log(abs(F^(d*x)*F^c*b + a))/(F^c*b*d*log(F))","A",0
10,1,24,0,0.411885," ","integrate(F^(d*x+c)/(a+b*F^(d*x+c)),x, algorithm=""giac"")","\frac{\log\left({\left| F^{d x + c} b + a \right|}\right)}{b d \log\left(F\right)}"," ",0,"log(abs(F^(d*x + c)*b + a))/(b*d*log(F))","A",0
11,1,24,0,0.431647," ","integrate(F^x*(a+b*F^x)^n,x, algorithm=""giac"")","\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
12,1,36,0,0.439861," ","integrate(F^(d*x)*(a+b*F^(d*x+c))^n,x, algorithm=""giac"")","\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
13,1,31,0,0.438877," ","integrate(F^(d*x+c)*(a+b*F^(d*x+c))^n,x, algorithm=""giac"")","\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
14,1,24,0,0.457336," ","integrate(exp(x)^n*(a+b*exp(x)^n)^p,x, algorithm=""giac"")","\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
15,1,30,0,0.412842," ","integrate(exp(n*x)*(a+b*exp(x)^n)^p,x, algorithm=""giac"")","\frac{{\left(b e^{\left(n x\right)} + a\right)} {\left(b e^{\left(n x\right)} + a\right)}^{p}}{b n {\left(p + 1\right)}}"," ",0,"(b*e^(n*x) + a)*(b*e^(n*x) + a)^p/(b*n*(p + 1))","A",0
16,1,43,0,0.501045," ","integrate((F^(e*(d*x+c)))^n*(a+b*(F^(e*(d*x+c)))^n)^p,x, algorithm=""giac"")","\frac{{\left(F^{d n x e + c n e} b + a\right)}^{p + 1} e^{\left(-1\right)}}{b d n {\left(p + 1\right)} \log\left(F\right)}"," ",0,"(F^(d*n*x*e + c*n*e)*b + a)^(p + 1)*e^(-1)/(b*d*n*(p + 1)*log(F))","A",0
17,1,156,0,1.932274," ","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=""giac"")","\frac{F^{\frac{d f n e}{g}} b e^{\left(2 \, d n x e \log\left(F\right) + c n e \log\left(F\right) + p \log\left(b e^{\left(d n x e \log\left(F\right) + c n e \log\left(F\right)\right)} + a\right)\right)} + F^{\frac{d f n e}{g}} a e^{\left(d n x e \log\left(F\right) + p \log\left(b e^{\left(d n x e \log\left(F\right) + c n e \log\left(F\right)\right)} + a\right)\right)}}{b d n p e^{\left(d n x e \log\left(F\right) + c n e \log\left(F\right) + 1\right)} \log\left(F\right) + b d n e^{\left(d n x e \log\left(F\right) + c n e \log\left(F\right) + 1\right)} \log\left(F\right)}"," ",0,"(F^(d*f*n*e/g)*b*e^(2*d*n*x*e*log(F) + c*n*e*log(F) + p*log(b*e^(d*n*x*e*log(F) + c*n*e*log(F)) + a)) + F^(d*f*n*e/g)*a*e^(d*n*x*e*log(F) + p*log(b*e^(d*n*x*e*log(F) + c*n*e*log(F)) + a)))/(b*d*n*p*e^(d*n*x*e*log(F) + c*n*e*log(F) + 1)*log(F) + b*d*n*e^(d*n*x*e*log(F) + c*n*e*log(F) + 1)*log(F))","A",0
18,1,21,0,0.393857," ","integrate(exp(2*x)/(a+b*exp(x)),x, algorithm=""giac"")","\frac{e^{x}}{b} - \frac{a \log\left({\left| b e^{x} + a \right|}\right)}{b^{2}}"," ",0,"e^x/b - a*log(abs(b*e^x + a))/b^2","A",0
19,1,26,0,0.368415," ","integrate(exp(2*x)/(a+b*exp(x))^2,x, algorithm=""giac"")","\frac{\log\left({\left| b e^{x} + a \right|}\right)}{b^{2}} + \frac{a}{{\left(b e^{x} + a\right)} b^{2}}"," ",0,"log(abs(b*e^x + a))/b^2 + a/((b*e^x + a)*b^2)","A",0
20,1,20,0,0.396264," ","integrate(exp(2*x)/(a+b*exp(x))^3,x, algorithm=""giac"")","-\frac{2 \, b e^{x} + a}{2 \, {\left(b e^{x} + a\right)}^{2} b^{2}}"," ",0,"-1/2*(2*b*e^x + a)/((b*e^x + a)^2*b^2)","A",0
21,1,20,0,0.379641," ","integrate(exp(2*x)/(a+b*exp(x))^4,x, algorithm=""giac"")","-\frac{3 \, b e^{x} + a}{6 \, {\left(b e^{x} + a\right)}^{3} b^{2}}"," ",0,"-1/6*(3*b*e^x + a)/((b*e^x + a)^3*b^2)","A",0
22,1,26,0,0.244121," ","integrate(exp(4*x)/(a+b*exp(2*x)),x, algorithm=""giac"")","\frac{e^{\left(2 \, x\right)}}{2 \, b} - \frac{a \log\left({\left| b e^{\left(2 \, x\right)} + a \right|}\right)}{2 \, b^{2}}"," ",0,"1/2*e^(2*x)/b - 1/2*a*log(abs(b*e^(2*x) + a))/b^2","A",0
23,1,32,0,0.364626," ","integrate(exp(4*x)/(a+b*exp(2*x))^2,x, algorithm=""giac"")","\frac{\log\left({\left| b e^{\left(2 \, x\right)} + a \right|}\right)}{2 \, b^{2}} + \frac{a}{2 \, {\left(b e^{\left(2 \, x\right)} + a\right)} b^{2}}"," ",0,"1/2*log(abs(b*e^(2*x) + a))/b^2 + 1/2*a/((b*e^(2*x) + a)*b^2)","A",0
24,1,24,0,0.300045," ","integrate(exp(4*x)/(a+b*exp(2*x))^3,x, algorithm=""giac"")","-\frac{2 \, b e^{\left(2 \, x\right)} + a}{4 \, {\left(b e^{\left(2 \, x\right)} + a\right)}^{2} b^{2}}"," ",0,"-1/4*(2*b*e^(2*x) + a)/((b*e^(2*x) + a)^2*b^2)","A",0
25,1,24,0,0.306150," ","integrate(exp(4*x)/(a+b*exp(2*x))^4,x, algorithm=""giac"")","-\frac{3 \, b e^{\left(2 \, x\right)} + a}{12 \, {\left(b e^{\left(2 \, x\right)} + a\right)}^{3} b^{2}}"," ",0,"-1/12*(3*b*e^(2*x) + a)/((b*e^(2*x) + a)^3*b^2)","A",0
26,1,32,0,0.274699," ","integrate(exp(4*x)/(a+b*exp(2*x))^(2/3),x, algorithm=""giac"")","\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
27,1,15,0,0.411343," ","integrate((a+b*exp(n*x))/exp(n*x),x, algorithm=""giac"")","b x - \frac{a e^{\left(-n x\right)}}{n}"," ",0,"b*x - a*e^(-n*x)/n","A",0
28,1,30,0,0.317906," ","integrate((a+b*exp(n*x))^2/exp(n*x),x, algorithm=""giac"")","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
29,1,47,0,0.326695," ","integrate((a+b*exp(n*x))^3/exp(n*x),x, algorithm=""giac"")","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
30,1,38,0,0.318829," ","integrate(1/exp(n*x)/(a+b*exp(n*x)),x, algorithm=""giac"")","-\frac{\frac{b n x}{a^{2}} + \frac{e^{\left(-n x\right)}}{a} - \frac{b \log\left({\left| b e^{\left(n x\right)} + a \right|}\right)}{a^{2}}}{n}"," ",0,"-(b*n*x/a^2 + e^(-n*x)/a - b*log(abs(b*e^(n*x) + a))/a^2)/n","A",0
31,1,59,0,0.247484," ","integrate(1/exp(n*x)/(a+b*exp(n*x))^2,x, algorithm=""giac"")","-\frac{\frac{2 \, b n x}{a^{3}} - \frac{2 \, b \log\left({\left| b e^{\left(n x\right)} + a \right|}\right)}{a^{3}} + \frac{2 \, b e^{\left(n x\right)} + a}{{\left(b e^{\left(2 \, n x\right)} + a e^{\left(n x\right)}\right)} a^{2}}}{n}"," ",0,"-(2*b*n*x/a^3 - 2*b*log(abs(b*e^(n*x) + a))/a^3 + (2*b*e^(n*x) + a)/((b*e^(2*n*x) + a*e^(n*x))*a^2))/n","A",0
32,1,76,0,0.398003," ","integrate(1/exp(n*x)/(a+b*exp(n*x))^3,x, algorithm=""giac"")","-\frac{\frac{6 \, b n x}{a^{4}} - \frac{6 \, b \log\left({\left| b e^{\left(n x\right)} + a \right|}\right)}{a^{4}} + \frac{{\left(6 \, a b^{2} e^{\left(2 \, n x\right)} + 9 \, a^{2} b e^{\left(n x\right)} + 2 \, a^{3}\right)} e^{\left(-n x\right)}}{{\left(b e^{\left(n x\right)} + a\right)}^{2} a^{4}}}{2 \, n}"," ",0,"-1/2*(6*b*n*x/a^4 - 6*b*log(abs(b*e^(n*x) + a))/a^4 + (6*a*b^2*e^(2*n*x) + 9*a^2*b*e^(n*x) + 2*a^3)*e^(-n*x)/((b*e^(n*x) + a)^2*a^4))/n","A",0
33,1,48,0,0.303554," ","integrate(f^(b*x+a)/(c+d*f^(2*b*x+e)),x, algorithm=""giac"")","\frac{f^{2 \, a} \arctan\left(\frac{d f^{b x} f^{e}}{\sqrt{c d f^{e}}}\right)}{\sqrt{c d f^{e}} b f^{a} \log\left(f\right)}"," ",0,"f^(2*a)*arctan(d*f^(b*x)*f^e/sqrt(c*d*f^e))/(sqrt(c*d*f^e)*b*f^a*log(f))","A",0
34,1,37,0,0.325872," ","integrate(f^(2*b*x+a)/(c+d*f^(2*b*x+e)),x, algorithm=""giac"")","\frac{f^{a} \log\left({\left| d f^{2 \, b x} f^{e} + c \right|}\right)}{2 \, b d f^{e} \log\left(f\right)}"," ",0,"1/2*f^a*log(abs(d*f^(2*b*x)*f^e + c))/(b*d*f^e*log(f))","A",0
35,1,77,0,0.360122," ","integrate(f^(3*b*x+a)/(c+d*f^(2*b*x+e)),x, algorithm=""giac"")","-f^{a} {\left(\frac{c \arctan\left(\frac{d f^{b x} f^{e}}{\sqrt{c d f^{e}}}\right)}{\sqrt{c d f^{e}} b d f^{e} \log\left(f\right)} - \frac{f^{b x}}{b d f^{e} \log\left(f\right)}\right)}"," ",0,"-f^a*(c*arctan(d*f^(b*x)*f^e/sqrt(c*d*f^e))/(sqrt(c*d*f^e)*b*d*f^e*log(f)) - f^(b*x)/(b*d*f^e*log(f)))","A",0
36,1,66,0,0.285024," ","integrate(f^(4*b*x+a)/(c+d*f^(2*b*x+e)),x, algorithm=""giac"")","\frac{1}{2} \, f^{a} {\left(\frac{f^{2 \, b x}}{b d f^{e} \log\left(f\right)} - \frac{c \log\left({\left| d f^{2 \, b x} f^{e} + c \right|}\right)}{b d^{2} f^{2 \, e} \log\left(f\right)}\right)}"," ",0,"1/2*f^a*(f^(2*b*x)/(b*d*f^e*log(f)) - c*log(abs(d*f^(2*b*x)*f^e + c))/(b*d^2*f^(2*e)*log(f)))","A",0
37,1,122,0,0.315173," ","integrate(f^(5*b*x+a)/(c+d*f^(2*b*x+e)),x, algorithm=""giac"")","\frac{1}{3} \, f^{a} {\left(\frac{3 \, c^{2} \arctan\left(\frac{d f^{b x} f^{e}}{\sqrt{c d f^{e}}}\right)}{\sqrt{c d f^{e}} b d^{2} f^{2 \, e} \log\left(f\right)} + \frac{b^{2} d^{2} f^{3 \, b x} f^{2 \, e} \log\left(f\right)^{2} - 3 \, b^{2} c d f^{b x} f^{e} \log\left(f\right)^{2}}{b^{3} d^{3} f^{3 \, e} \log\left(f\right)^{3}}\right)}"," ",0,"1/3*f^a*(3*c^2*arctan(d*f^(b*x)*f^e/sqrt(c*d*f^e))/(sqrt(c*d*f^e)*b*d^2*f^(2*e)*log(f)) + (b^2*d^2*f^(3*b*x)*f^(2*e)*log(f)^2 - 3*b^2*c*d*f^(b*x)*f^e*log(f)^2)/(b^3*d^3*f^(3*e)*log(f)^3))","A",0
38,1,3,0,0.318337," ","integrate(exp(x)/(1+exp(2*x)),x, algorithm=""giac"")","\arctan\left(e^{x}\right)"," ",0,"arctan(e^x)","A",0
39,1,16,0,0.330507," ","integrate(exp(x)/(1-exp(2*x)),x, algorithm=""giac"")","\frac{1}{2} \, \log\left(e^{x} + 1\right) - \frac{1}{2} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"1/2*log(e^x + 1) - 1/2*log(abs(e^x - 1))","B",0
40,0,0,0,0.000000," ","integrate(exp(x)*x/(1-exp(2*x)),x, algorithm=""giac"")","\int -\frac{x e^{x}}{e^{\left(2 \, x\right)} - 1}\,{d x}"," ",0,"integrate(-x*e^x/(e^(2*x) - 1), x)","F",0
41,0,0,0,0.000000," ","integrate(exp(x)*x^2/(1-exp(2*x)),x, algorithm=""giac"")","\int -\frac{x^{2} e^{x}}{e^{\left(2 \, x\right)} - 1}\,{d x}"," ",0,"integrate(-x^2*e^x/(e^(2*x) - 1), x)","F",0
42,0,0,0,0.000000," ","integrate(exp(x)*x^3/(1-exp(2*x)),x, algorithm=""giac"")","\int -\frac{x^{3} e^{x}}{e^{\left(2 \, x\right)} - 1}\,{d x}"," ",0,"integrate(-x^3*e^x/(e^(2*x) - 1), x)","F",0
43,1,21,0,0.350039," ","integrate(f^x/(a+b*f^(2*x)),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
47,1,49,0,0.300319," ","integrate(f^x/(a+b*f^(2*x))^2,x, algorithm=""giac"")","\frac{\arctan\left(\frac{b f^{x}}{\sqrt{a b}}\right)}{2 \, \sqrt{a b} a \log\left(f\right)} + \frac{f^{x}}{2 \, {\left(b f^{2 \, x} + a\right)} a \log\left(f\right)}"," ",0,"1/2*arctan(b*f^x/sqrt(a*b))/(sqrt(a*b)*a*log(f)) + 1/2*f^x/((b*f^(2*x) + a)*a*log(f))","A",0
48,0,0,0,0.000000," ","integrate(f^x*x/(a+b*f^(2*x))^2,x, algorithm=""giac"")","\int \frac{f^{x} x}{{\left(b f^{2 \, x} + a\right)}^{2}}\,{d x}"," ",0,"integrate(f^x*x/(b*f^(2*x) + a)^2, x)","F",0
49,0,0,0,0.000000," ","integrate(f^x*x^2/(a+b*f^(2*x))^2,x, algorithm=""giac"")","\int \frac{f^{x} x^{2}}{{\left(b f^{2 \, x} + a\right)}^{2}}\,{d x}"," ",0,"integrate(f^x*x^2/(b*f^(2*x) + a)^2, x)","F",0
50,0,0,0,0.000000," ","integrate(f^x*x^3/(a+b*f^(2*x))^2,x, algorithm=""giac"")","\int \frac{f^{x} x^{3}}{{\left(b f^{2 \, x} + a\right)}^{2}}\,{d x}"," ",0,"integrate(f^x*x^3/(b*f^(2*x) + a)^2, x)","F",0
51,1,61,0,0.403789," ","integrate(f^x/(a+b*f^(2*x))^3,x, algorithm=""giac"")","\frac{3 \, \arctan\left(\frac{b f^{x}}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a^{2} \log\left(f\right)} + \frac{3 \, b f^{3 \, x} + 5 \, a f^{x}}{8 \, {\left(b f^{2 \, x} + a\right)}^{2} a^{2} \log\left(f\right)}"," ",0,"3/8*arctan(b*f^x/sqrt(a*b))/(sqrt(a*b)*a^2*log(f)) + 1/8*(3*b*f^(3*x) + 5*a*f^x)/((b*f^(2*x) + a)^2*a^2*log(f))","A",0
52,0,0,0,0.000000," ","integrate(f^x*x/(a+b*f^(2*x))^3,x, algorithm=""giac"")","\int \frac{f^{x} x}{{\left(b f^{2 \, x} + a\right)}^{3}}\,{d x}"," ",0,"integrate(f^x*x/(b*f^(2*x) + a)^3, x)","F",0
53,0,0,0,0.000000," ","integrate(f^x*x^2/(a+b*f^(2*x))^3,x, algorithm=""giac"")","\int \frac{f^{x} x^{2}}{{\left(b f^{2 \, x} + a\right)}^{3}}\,{d x}"," ",0,"integrate(f^x*x^2/(b*f^(2*x) + a)^3, x)","F",0
54,1,21,0,0.289901," ","integrate(1/(b/(f^x)+a*f^x),x, algorithm=""giac"")","\frac{\arctan\left(\frac{a f^{x}}{\sqrt{a b}}\right)}{\sqrt{a b} \log\left(f\right)}"," ",0,"arctan(a*f^x/sqrt(a*b))/(sqrt(a*b)*log(f))","A",0
55,0,0,0,0.000000," ","integrate(x/(b/(f^x)+a*f^x),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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
58,1,20,0,0.344306," ","integrate(1/(b/(f^x)+a*f^x)^2,x, algorithm=""giac"")","-\frac{1}{2 \, {\left(a f^{2 \, x} + b\right)} a \log\left(f\right)}"," ",0,"-1/2/((a*f^(2*x) + b)*a*log(f))","A",0
59,0,0,0,0.000000," ","integrate(x/(b/(f^x)+a*f^x)^2,x, algorithm=""giac"")","\int \frac{x}{{\left(a f^{x} + \frac{b}{f^{x}}\right)}^{2}}\,{d x}"," ",0,"integrate(x/(a*f^x + b/f^x)^2, x)","F",0
60,0,0,0,0.000000," ","integrate(x^2/(b/(f^x)+a*f^x)^2,x, algorithm=""giac"")","\int \frac{x^{2}}{{\left(a f^{x} + \frac{b}{f^{x}}\right)}^{2}}\,{d x}"," ",0,"integrate(x^2/(a*f^x + b/f^x)^2, x)","F",0
61,0,0,0,0.000000," ","integrate(x^3/(b/(f^x)+a*f^x)^2,x, algorithm=""giac"")","\int \frac{x^{3}}{{\left(a f^{x} + \frac{b}{f^{x}}\right)}^{2}}\,{d x}"," ",0,"integrate(x^3/(a*f^x + b/f^x)^2, x)","F",0
62,1,66,0,0.310079," ","integrate(1/(b/(f^x)+a*f^x)^3,x, algorithm=""giac"")","\frac{\arctan\left(\frac{a f^{x}}{\sqrt{a b}}\right)}{8 \, \sqrt{a b} a b \log\left(f\right)} + \frac{a f^{3 \, x} - b f^{x}}{8 \, {\left(a f^{2 \, x} + b\right)}^{2} a b \log\left(f\right)}"," ",0,"1/8*arctan(a*f^x/sqrt(a*b))/(sqrt(a*b)*a*b*log(f)) + 1/8*(a*f^(3*x) - b*f^x)/((a*f^(2*x) + b)^2*a*b*log(f))","A",0
63,0,0,0,0.000000," ","integrate(x/(b/(f^x)+a*f^x)^3,x, algorithm=""giac"")","\int \frac{x}{{\left(a f^{x} + \frac{b}{f^{x}}\right)}^{3}}\,{d x}"," ",0,"integrate(x/(a*f^x + b/f^x)^3, x)","F",0
64,0,0,0,0.000000," ","integrate(x^2/(b/(f^x)+a*f^x)^3,x, algorithm=""giac"")","\int \frac{x^{2}}{{\left(a f^{x} + \frac{b}{f^{x}}\right)}^{3}}\,{d x}"," ",0,"integrate(x^2/(a*f^x + b/f^x)^3, x)","F",0
65,1,131,0,0.461062," ","integrate(f^(c*x^2+b*x+a)*g^(f*x^2+e*x+d),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right) - f \log\left(g\right)} {\left(2 \, x + \frac{b \log\left(f\right) + e \log\left(g\right)}{c \log\left(f\right) + f \log\left(g\right)}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right)^{2} - 4 \, a c \log\left(f\right)^{2} - 4 \, c d \log\left(f\right) \log\left(g\right) - 4 \, a f \log\left(f\right) \log\left(g\right) + 2 \, b e \log\left(f\right) \log\left(g\right) - 4 \, d f \log\left(g\right)^{2} + e^{2} \log\left(g\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)*erf(-1/2*sqrt(-c*log(f) - f*log(g))*(2*x + (b*log(f) + e*log(g))/(c*log(f) + f*log(g))))*e^(-1/4*(b^2*log(f)^2 - 4*a*c*log(f)^2 - 4*c*d*log(f)*log(g) - 4*a*f*log(f)*log(g) + 2*b*e*log(f)*log(g) - 4*d*f*log(g)^2 + e^2*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=""giac"")","\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=""giac"")","\int \frac{F^{{\left(d x + c\right)} e} H^{{\left(s x + r\right)} t}}{F^{{\left(d x + c\right)} e} b + a}\,{d x}"," ",0,"integrate(F^((d*x + c)*e)*H^((s*x + r)*t)/(F^((d*x + c)*e)*b + a), 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=""giac"")","\int \frac{F^{{\left(d x + f\right)} e} H^{{\left(s x + r\right)} t}}{F^{{\left(d x + c\right)} e} b + a}\,{d x}"," ",0,"integrate(F^((d*x + f)*e)*H^((s*x + r)*t)/(F^((d*x + c)*e)*b + a), x)","F",0
69,0,0,0,0.000000," ","integrate(f^(b*x^2+a)*x^m,x, algorithm=""giac"")","\int f^{b x^{2} + a} x^{m}\,{d x}"," ",0,"integrate(f^(b*x^2 + a)*x^m, x)","F",0
70,1,79,0,0.324878," ","integrate(f^(b*x^2+a)*x^11,x, algorithm=""giac"")","\frac{{\left(b^{5} x^{10} \log\left(f\right)^{5} - 5 \, b^{4} x^{8} \log\left(f\right)^{4} + 20 \, b^{3} x^{6} \log\left(f\right)^{3} - 60 \, b^{2} x^{4} \log\left(f\right)^{2} + 120 \, b x^{2} \log\left(f\right) - 120\right)} e^{\left(b x^{2} \log\left(f\right) + a \log\left(f\right)\right)}}{2 \, b^{6} \log\left(f\right)^{6}}"," ",0,"1/2*(b^5*x^10*log(f)^5 - 5*b^4*x^8*log(f)^4 + 20*b^3*x^6*log(f)^3 - 60*b^2*x^4*log(f)^2 + 120*b*x^2*log(f) - 120)*e^(b*x^2*log(f) + a*log(f))/(b^6*log(f)^6)","A",0
71,1,67,0,0.398112," ","integrate(f^(b*x^2+a)*x^9,x, algorithm=""giac"")","\frac{{\left(b^{4} x^{8} \log\left(f\right)^{4} - 4 \, b^{3} x^{6} \log\left(f\right)^{3} + 12 \, b^{2} x^{4} \log\left(f\right)^{2} - 24 \, b x^{2} \log\left(f\right) + 24\right)} e^{\left(b x^{2} \log\left(f\right) + a \log\left(f\right)\right)}}{2 \, b^{5} \log\left(f\right)^{5}}"," ",0,"1/2*(b^4*x^8*log(f)^4 - 4*b^3*x^6*log(f)^3 + 12*b^2*x^4*log(f)^2 - 24*b*x^2*log(f) + 24)*e^(b*x^2*log(f) + a*log(f))/(b^5*log(f)^5)","A",0
72,1,55,0,0.393855," ","integrate(f^(b*x^2+a)*x^7,x, algorithm=""giac"")","\frac{{\left(b^{3} x^{6} \log\left(f\right)^{3} - 3 \, b^{2} x^{4} \log\left(f\right)^{2} + 6 \, b x^{2} \log\left(f\right) - 6\right)} e^{\left(b x^{2} \log\left(f\right) + a \log\left(f\right)\right)}}{2 \, b^{4} \log\left(f\right)^{4}}"," ",0,"1/2*(b^3*x^6*log(f)^3 - 3*b^2*x^4*log(f)^2 + 6*b*x^2*log(f) - 6)*e^(b*x^2*log(f) + a*log(f))/(b^4*log(f)^4)","A",0
73,1,43,0,0.404864," ","integrate(f^(b*x^2+a)*x^5,x, algorithm=""giac"")","\frac{{\left(b^{2} x^{4} \log\left(f\right)^{2} - 2 \, b x^{2} \log\left(f\right) + 2\right)} e^{\left(b x^{2} \log\left(f\right) + a \log\left(f\right)\right)}}{2 \, b^{3} \log\left(f\right)^{3}}"," ",0,"1/2*(b^2*x^4*log(f)^2 - 2*b*x^2*log(f) + 2)*e^(b*x^2*log(f) + a*log(f))/(b^3*log(f)^3)","A",0
74,1,690,0,0.524239," ","integrate(f^(b*x^2+a)*x^3,x, algorithm=""giac"")","\frac{1}{2} \, {\left(2 \, {\left(\frac{{\left(\pi b x^{2} \mathrm{sgn}\left(f\right) - \pi b x^{2}\right)} {\left(\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi b^{2} \log\left({\left| f \right|}\right)\right)}}{{\left(\pi^{2} b^{2} \mathrm{sgn}\left(f\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| f \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi b^{2} \log\left({\left| f \right|}\right)\right)}^{2}} + \frac{{\left(\pi^{2} b^{2} \mathrm{sgn}\left(f\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| f \right|}\right)^{2}\right)} {\left(b x^{2} \log\left({\left| f \right|}\right) - 1\right)}}{{\left(\pi^{2} b^{2} \mathrm{sgn}\left(f\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| f \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi b^{2} \log\left({\left| f \right|}\right)\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi b x^{2} \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi b x^{2} - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi a\right) + {\left(\frac{{\left(\pi^{2} b^{2} \mathrm{sgn}\left(f\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| f \right|}\right)^{2}\right)} {\left(\pi b x^{2} \mathrm{sgn}\left(f\right) - \pi b x^{2}\right)}}{{\left(\pi^{2} b^{2} \mathrm{sgn}\left(f\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| f \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi b^{2} \log\left({\left| f \right|}\right)\right)}^{2}} - \frac{4 \, {\left(\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi b^{2} \log\left({\left| f \right|}\right)\right)} {\left(b x^{2} \log\left({\left| f \right|}\right) - 1\right)}}{{\left(\pi^{2} b^{2} \mathrm{sgn}\left(f\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| f \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi b^{2} \log\left({\left| f \right|}\right)\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi b x^{2} \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi b x^{2} - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi a\right)\right)} e^{\left(b x^{2} \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)} - \frac{{\left(\frac{{\left(2 \, b i x^{2} \log\left({\left| f \right|}\right) - \pi b x^{2} \mathrm{sgn}\left(f\right) + \pi b x^{2} - 2 \, i\right)} e^{\left(\frac{1}{2} \, {\left(\pi b x^{2} {\left(\mathrm{sgn}\left(f\right) - 1\right)} + \pi a {\left(\mathrm{sgn}\left(f\right) - 1\right)}\right)} i\right)}}{2 \, \pi b^{2} i \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 2 \, \pi b^{2} i \log\left({\left| f \right|}\right) + \pi^{2} b^{2} \mathrm{sgn}\left(f\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| f \right|}\right)^{2}} + \frac{{\left(2 \, b i x^{2} \log\left({\left| f \right|}\right) + \pi b x^{2} \mathrm{sgn}\left(f\right) - \pi b x^{2} - 2 \, i\right)} e^{\left(-\frac{1}{2} \, {\left(\pi b x^{2} {\left(\mathrm{sgn}\left(f\right) - 1\right)} + \pi a {\left(\mathrm{sgn}\left(f\right) - 1\right)}\right)} i\right)}}{2 \, \pi b^{2} i \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 2 \, \pi b^{2} i \log\left({\left| f \right|}\right) - \pi^{2} b^{2} \mathrm{sgn}\left(f\right) + \pi^{2} b^{2} - 2 \, b^{2} \log\left({\left| f \right|}\right)^{2}}\right)} e^{\left(b x^{2} \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)}}{4 \, i}"," ",0,"1/2*(2*((pi*b*x^2*sgn(f) - pi*b*x^2)*(pi*b^2*log(abs(f))*sgn(f) - pi*b^2*log(abs(f)))/((pi^2*b^2*sgn(f) - pi^2*b^2 + 2*b^2*log(abs(f))^2)^2 + 4*(pi*b^2*log(abs(f))*sgn(f) - pi*b^2*log(abs(f)))^2) + (pi^2*b^2*sgn(f) - pi^2*b^2 + 2*b^2*log(abs(f))^2)*(b*x^2*log(abs(f)) - 1)/((pi^2*b^2*sgn(f) - pi^2*b^2 + 2*b^2*log(abs(f))^2)^2 + 4*(pi*b^2*log(abs(f))*sgn(f) - pi*b^2*log(abs(f)))^2))*cos(-1/2*pi*b*x^2*sgn(f) + 1/2*pi*b*x^2 - 1/2*pi*a*sgn(f) + 1/2*pi*a) + ((pi^2*b^2*sgn(f) - pi^2*b^2 + 2*b^2*log(abs(f))^2)*(pi*b*x^2*sgn(f) - pi*b*x^2)/((pi^2*b^2*sgn(f) - pi^2*b^2 + 2*b^2*log(abs(f))^2)^2 + 4*(pi*b^2*log(abs(f))*sgn(f) - pi*b^2*log(abs(f)))^2) - 4*(pi*b^2*log(abs(f))*sgn(f) - pi*b^2*log(abs(f)))*(b*x^2*log(abs(f)) - 1)/((pi^2*b^2*sgn(f) - pi^2*b^2 + 2*b^2*log(abs(f))^2)^2 + 4*(pi*b^2*log(abs(f))*sgn(f) - pi*b^2*log(abs(f)))^2))*sin(-1/2*pi*b*x^2*sgn(f) + 1/2*pi*b*x^2 - 1/2*pi*a*sgn(f) + 1/2*pi*a))*e^(b*x^2*log(abs(f)) + a*log(abs(f))) - 1/4*((2*b*i*x^2*log(abs(f)) - pi*b*x^2*sgn(f) + pi*b*x^2 - 2*i)*e^(1/2*(pi*b*x^2*(sgn(f) - 1) + pi*a*(sgn(f) - 1))*i)/(2*pi*b^2*i*log(abs(f))*sgn(f) - 2*pi*b^2*i*log(abs(f)) + pi^2*b^2*sgn(f) - pi^2*b^2 + 2*b^2*log(abs(f))^2) + (2*b*i*x^2*log(abs(f)) + pi*b*x^2*sgn(f) - pi*b*x^2 - 2*i)*e^(-1/2*(pi*b*x^2*(sgn(f) - 1) + pi*a*(sgn(f) - 1))*i)/(2*pi*b^2*i*log(abs(f))*sgn(f) - 2*pi*b^2*i*log(abs(f)) - pi^2*b^2*sgn(f) + pi^2*b^2 - 2*b^2*log(abs(f))^2))*e^(b*x^2*log(abs(f)) + a*log(abs(f)))/i","B",0
75,1,18,0,0.394982," ","integrate(f^(b*x^2+a)*x,x, algorithm=""giac"")","\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
76,0,0,0,0.000000," ","integrate(f^(b*x^2+a)/x,x, algorithm=""giac"")","\int \frac{f^{b x^{2} + a}}{x}\,{d x}"," ",0,"integrate(f^(b*x^2 + a)/x, x)","F",0
77,0,0,0,0.000000," ","integrate(f^(b*x^2+a)/x^3,x, algorithm=""giac"")","\int \frac{f^{b x^{2} + a}}{x^{3}}\,{d x}"," ",0,"integrate(f^(b*x^2 + a)/x^3, x)","F",0
78,0,0,0,0.000000," ","integrate(f^(b*x^2+a)/x^5,x, algorithm=""giac"")","\int \frac{f^{b x^{2} + a}}{x^{5}}\,{d x}"," ",0,"integrate(f^(b*x^2 + a)/x^5, x)","F",0
79,0,0,0,0.000000," ","integrate(f^(b*x^2+a)/x^7,x, algorithm=""giac"")","\int \frac{f^{b x^{2} + a}}{x^{7}}\,{d x}"," ",0,"integrate(f^(b*x^2 + a)/x^7, x)","F",0
80,0,0,0,0.000000," ","integrate(f^(b*x^2+a)/x^9,x, algorithm=""giac"")","\int \frac{f^{b x^{2} + a}}{x^{9}}\,{d x}"," ",0,"integrate(f^(b*x^2 + a)/x^9, x)","F",0
81,0,0,0,0.000000," ","integrate(f^(b*x^2+a)/x^11,x, algorithm=""giac"")","\int \frac{f^{b x^{2} + a}}{x^{11}}\,{d x}"," ",0,"integrate(f^(b*x^2 + a)/x^11, x)","F",0
82,1,116,0,0.313433," ","integrate(f^(b*x^2+a)*x^12,x, algorithm=""giac"")","-\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}} + \frac{{\left(32 \, b^{5} x^{11} \log\left(f\right)^{5} - 176 \, b^{4} x^{9} \log\left(f\right)^{4} + 792 \, b^{3} x^{7} \log\left(f\right)^{3} - 2772 \, b^{2} x^{5} \log\left(f\right)^{2} + 6930 \, b x^{3} \log\left(f\right) - 10395 \, x\right)} e^{\left(b x^{2} \log\left(f\right) + a \log\left(f\right)\right)}}{64 \, b^{6} \log\left(f\right)^{6}}"," ",0,"-10395/128*sqrt(pi)*f^a*erf(-sqrt(-b*log(f))*x)/(sqrt(-b*log(f))*b^6*log(f)^6) + 1/64*(32*b^5*x^11*log(f)^5 - 176*b^4*x^9*log(f)^4 + 792*b^3*x^7*log(f)^3 - 2772*b^2*x^5*log(f)^2 + 6930*b*x^3*log(f) - 10395*x)*e^(b*x^2*log(f) + a*log(f))/(b^6*log(f)^6)","A",0
83,1,104,0,0.331102," ","integrate(f^(b*x^2+a)*x^10,x, algorithm=""giac"")","\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}} + \frac{{\left(16 \, b^{4} x^{9} \log\left(f\right)^{4} - 72 \, b^{3} x^{7} \log\left(f\right)^{3} + 252 \, b^{2} x^{5} \log\left(f\right)^{2} - 630 \, b x^{3} \log\left(f\right) + 945 \, x\right)} e^{\left(b x^{2} \log\left(f\right) + a \log\left(f\right)\right)}}{32 \, b^{5} \log\left(f\right)^{5}}"," ",0,"945/64*sqrt(pi)*f^a*erf(-sqrt(-b*log(f))*x)/(sqrt(-b*log(f))*b^5*log(f)^5) + 1/32*(16*b^4*x^9*log(f)^4 - 72*b^3*x^7*log(f)^3 + 252*b^2*x^5*log(f)^2 - 630*b*x^3*log(f) + 945*x)*e^(b*x^2*log(f) + a*log(f))/(b^5*log(f)^5)","A",0
84,1,92,0,0.346299," ","integrate(f^(b*x^2+a)*x^8,x, algorithm=""giac"")","-\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}} + \frac{{\left(8 \, b^{3} x^{7} \log\left(f\right)^{3} - 28 \, b^{2} x^{5} \log\left(f\right)^{2} + 70 \, b x^{3} \log\left(f\right) - 105 \, x\right)} e^{\left(b x^{2} \log\left(f\right) + a \log\left(f\right)\right)}}{16 \, b^{4} \log\left(f\right)^{4}}"," ",0,"-105/32*sqrt(pi)*f^a*erf(-sqrt(-b*log(f))*x)/(sqrt(-b*log(f))*b^4*log(f)^4) + 1/16*(8*b^3*x^7*log(f)^3 - 28*b^2*x^5*log(f)^2 + 70*b*x^3*log(f) - 105*x)*e^(b*x^2*log(f) + a*log(f))/(b^4*log(f)^4)","A",0
85,1,80,0,0.348114," ","integrate(f^(b*x^2+a)*x^6,x, algorithm=""giac"")","\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}} + \frac{{\left(4 \, b^{2} x^{5} \log\left(f\right)^{2} - 10 \, b x^{3} \log\left(f\right) + 15 \, x\right)} e^{\left(b x^{2} \log\left(f\right) + a \log\left(f\right)\right)}}{8 \, b^{3} \log\left(f\right)^{3}}"," ",0,"15/16*sqrt(pi)*f^a*erf(-sqrt(-b*log(f))*x)/(sqrt(-b*log(f))*b^3*log(f)^3) + 1/8*(4*b^2*x^5*log(f)^2 - 10*b*x^3*log(f) + 15*x)*e^(b*x^2*log(f) + a*log(f))/(b^3*log(f)^3)","A",0
86,1,68,0,0.400679," ","integrate(f^(b*x^2+a)*x^4,x, algorithm=""giac"")","-\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}} + \frac{{\left(2 \, b x^{3} \log\left(f\right) - 3 \, x\right)} e^{\left(b x^{2} \log\left(f\right) + a \log\left(f\right)\right)}}{4 \, b^{2} \log\left(f\right)^{2}}"," ",0,"-3/8*sqrt(pi)*f^a*erf(-sqrt(-b*log(f))*x)/(sqrt(-b*log(f))*b^2*log(f)^2) + 1/4*(2*b*x^3*log(f) - 3*x)*e^(b*x^2*log(f) + a*log(f))/(b^2*log(f)^2)","A",0
87,1,57,0,0.273351," ","integrate(f^(b*x^2+a)*x^2,x, algorithm=""giac"")","\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)} + \frac{x e^{\left(b x^{2} \log\left(f\right) + a \log\left(f\right)\right)}}{2 \, b \log\left(f\right)}"," ",0,"1/4*sqrt(pi)*f^a*erf(-sqrt(-b*log(f))*x)/(sqrt(-b*log(f))*b*log(f)) + 1/2*x*e^(b*x^2*log(f) + a*log(f))/(b*log(f))","A",0
88,1,26,0,0.277025," ","integrate(f^(b*x^2+a),x, algorithm=""giac"")","-\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
89,0,0,0,0.000000," ","integrate(f^(b*x^2+a)/x^2,x, algorithm=""giac"")","\int \frac{f^{b x^{2} + a}}{x^{2}}\,{d x}"," ",0,"integrate(f^(b*x^2 + a)/x^2, x)","F",0
90,0,0,0,0.000000," ","integrate(f^(b*x^2+a)/x^4,x, algorithm=""giac"")","\int \frac{f^{b x^{2} + a}}{x^{4}}\,{d x}"," ",0,"integrate(f^(b*x^2 + a)/x^4, x)","F",0
91,0,0,0,0.000000," ","integrate(f^(b*x^2+a)/x^6,x, algorithm=""giac"")","\int \frac{f^{b x^{2} + a}}{x^{6}}\,{d x}"," ",0,"integrate(f^(b*x^2 + a)/x^6, x)","F",0
92,0,0,0,0.000000," ","integrate(f^(b*x^2+a)/x^8,x, algorithm=""giac"")","\int \frac{f^{b x^{2} + a}}{x^{8}}\,{d x}"," ",0,"integrate(f^(b*x^2 + a)/x^8, x)","F",0
93,0,0,0,0.000000," ","integrate(f^(b*x^2+a)/x^10,x, algorithm=""giac"")","\int \frac{f^{b x^{2} + a}}{x^{10}}\,{d x}"," ",0,"integrate(f^(b*x^2 + a)/x^10, x)","F",0
94,0,0,0,0.000000," ","integrate(f^(b*x^2+a)/x^12,x, algorithm=""giac"")","\int \frac{f^{b x^{2} + a}}{x^{12}}\,{d x}"," ",0,"integrate(f^(b*x^2 + a)/x^12, x)","F",0
95,0,0,0,0.000000," ","integrate(f^(b*x^3+a)*x^m,x, algorithm=""giac"")","\int f^{b x^{3} + a} x^{m}\,{d x}"," ",0,"integrate(f^(b*x^3 + a)*x^m, x)","F",0
96,-2,0,0,0.000000," ","integrate(f^(b*x^3+a)*x^17,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Polynomial exponent overflow. Error: Bad Argument Value","F(-2)",0
97,1,105,0,0.284728," ","integrate(f^(b*x^3+a)*x^14,x, algorithm=""giac"")","\frac{b^{4} f^{b x^{3}} f^{a} x^{12} \log\left(f\right)^{4} - 4 \, b^{3} f^{b x^{3}} f^{a} x^{9} \log\left(f\right)^{3} + 12 \, b^{2} f^{b x^{3}} f^{a} x^{6} \log\left(f\right)^{2} - 24 \, b f^{b x^{3}} f^{a} x^{3} \log\left(f\right) + 24 \, f^{b x^{3}} f^{a}}{3 \, b^{5} \log\left(f\right)^{5}}"," ",0,"1/3*(b^4*f^(b*x^3)*f^a*x^12*log(f)^4 - 4*b^3*f^(b*x^3)*f^a*x^9*log(f)^3 + 12*b^2*f^(b*x^3)*f^a*x^6*log(f)^2 - 24*b*f^(b*x^3)*f^a*x^3*log(f) + 24*f^(b*x^3)*f^a)/(b^5*log(f)^5)","A",0
98,1,83,0,0.193330," ","integrate(f^(b*x^3+a)*x^11,x, algorithm=""giac"")","\frac{b^{3} f^{b x^{3}} f^{a} x^{9} \log\left(f\right)^{3} - 3 \, b^{2} f^{b x^{3}} f^{a} x^{6} \log\left(f\right)^{2} + 6 \, b f^{b x^{3}} f^{a} x^{3} \log\left(f\right) - 6 \, f^{b x^{3}} f^{a}}{3 \, b^{4} \log\left(f\right)^{4}}"," ",0,"1/3*(b^3*f^(b*x^3)*f^a*x^9*log(f)^3 - 3*b^2*f^(b*x^3)*f^a*x^6*log(f)^2 + 6*b*f^(b*x^3)*f^a*x^3*log(f) - 6*f^(b*x^3)*f^a)/(b^4*log(f)^4)","A",0
99,1,61,0,0.222373," ","integrate(f^(b*x^3+a)*x^8,x, algorithm=""giac"")","\frac{b^{2} f^{b x^{3}} f^{a} x^{6} \log\left(f\right)^{2} - 2 \, b f^{b x^{3}} f^{a} x^{3} \log\left(f\right) + 2 \, f^{b x^{3}} f^{a}}{3 \, b^{3} \log\left(f\right)^{3}}"," ",0,"1/3*(b^2*f^(b*x^3)*f^a*x^6*log(f)^2 - 2*b*f^(b*x^3)*f^a*x^3*log(f) + 2*f^(b*x^3)*f^a)/(b^3*log(f)^3)","A",0
100,1,690,0,0.281285," ","integrate(f^(b*x^3+a)*x^5,x, algorithm=""giac"")","\frac{1}{3} \, {\left(2 \, {\left(\frac{{\left(b x^{3} \log\left({\left| f \right|}\right) - 1\right)} {\left(\pi^{2} b^{2} \mathrm{sgn}\left(f\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| f \right|}\right)^{2}\right)}}{{\left(\pi^{2} b^{2} \mathrm{sgn}\left(f\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| f \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi b^{2} \log\left({\left| f \right|}\right)\right)}^{2}} + \frac{{\left(\pi b x^{3} \mathrm{sgn}\left(f\right) - \pi b x^{3}\right)} {\left(\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi b^{2} \log\left({\left| f \right|}\right)\right)}}{{\left(\pi^{2} b^{2} \mathrm{sgn}\left(f\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| f \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi b^{2} \log\left({\left| f \right|}\right)\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi b x^{3} \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi b x^{3} - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi a\right) + {\left(\frac{{\left(\pi b x^{3} \mathrm{sgn}\left(f\right) - \pi b x^{3}\right)} {\left(\pi^{2} b^{2} \mathrm{sgn}\left(f\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| f \right|}\right)^{2}\right)}}{{\left(\pi^{2} b^{2} \mathrm{sgn}\left(f\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| f \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi b^{2} \log\left({\left| f \right|}\right)\right)}^{2}} - \frac{4 \, {\left(b x^{3} \log\left({\left| f \right|}\right) - 1\right)} {\left(\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi b^{2} \log\left({\left| f \right|}\right)\right)}}{{\left(\pi^{2} b^{2} \mathrm{sgn}\left(f\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| f \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi b^{2} \log\left({\left| f \right|}\right)\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi b x^{3} \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi b x^{3} - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi a\right)\right)} e^{\left(b x^{3} \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)} - \frac{{\left(\frac{{\left(2 \, b i x^{3} \log\left({\left| f \right|}\right) - \pi b x^{3} \mathrm{sgn}\left(f\right) + \pi b x^{3} - 2 \, i\right)} e^{\left(\frac{1}{2} \, {\left(\pi b x^{3} {\left(\mathrm{sgn}\left(f\right) - 1\right)} + \pi a {\left(\mathrm{sgn}\left(f\right) - 1\right)}\right)} i\right)}}{2 \, \pi b^{2} i \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 2 \, \pi b^{2} i \log\left({\left| f \right|}\right) + \pi^{2} b^{2} \mathrm{sgn}\left(f\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| f \right|}\right)^{2}} + \frac{{\left(2 \, b i x^{3} \log\left({\left| f \right|}\right) + \pi b x^{3} \mathrm{sgn}\left(f\right) - \pi b x^{3} - 2 \, i\right)} e^{\left(-\frac{1}{2} \, {\left(\pi b x^{3} {\left(\mathrm{sgn}\left(f\right) - 1\right)} + \pi a {\left(\mathrm{sgn}\left(f\right) - 1\right)}\right)} i\right)}}{2 \, \pi b^{2} i \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 2 \, \pi b^{2} i \log\left({\left| f \right|}\right) - \pi^{2} b^{2} \mathrm{sgn}\left(f\right) + \pi^{2} b^{2} - 2 \, b^{2} \log\left({\left| f \right|}\right)^{2}}\right)} e^{\left(b x^{3} \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)}}{6 \, i}"," ",0,"1/3*(2*((b*x^3*log(abs(f)) - 1)*(pi^2*b^2*sgn(f) - pi^2*b^2 + 2*b^2*log(abs(f))^2)/((pi^2*b^2*sgn(f) - pi^2*b^2 + 2*b^2*log(abs(f))^2)^2 + 4*(pi*b^2*log(abs(f))*sgn(f) - pi*b^2*log(abs(f)))^2) + (pi*b*x^3*sgn(f) - pi*b*x^3)*(pi*b^2*log(abs(f))*sgn(f) - pi*b^2*log(abs(f)))/((pi^2*b^2*sgn(f) - pi^2*b^2 + 2*b^2*log(abs(f))^2)^2 + 4*(pi*b^2*log(abs(f))*sgn(f) - pi*b^2*log(abs(f)))^2))*cos(-1/2*pi*b*x^3*sgn(f) + 1/2*pi*b*x^3 - 1/2*pi*a*sgn(f) + 1/2*pi*a) + ((pi*b*x^3*sgn(f) - pi*b*x^3)*(pi^2*b^2*sgn(f) - pi^2*b^2 + 2*b^2*log(abs(f))^2)/((pi^2*b^2*sgn(f) - pi^2*b^2 + 2*b^2*log(abs(f))^2)^2 + 4*(pi*b^2*log(abs(f))*sgn(f) - pi*b^2*log(abs(f)))^2) - 4*(b*x^3*log(abs(f)) - 1)*(pi*b^2*log(abs(f))*sgn(f) - pi*b^2*log(abs(f)))/((pi^2*b^2*sgn(f) - pi^2*b^2 + 2*b^2*log(abs(f))^2)^2 + 4*(pi*b^2*log(abs(f))*sgn(f) - pi*b^2*log(abs(f)))^2))*sin(-1/2*pi*b*x^3*sgn(f) + 1/2*pi*b*x^3 - 1/2*pi*a*sgn(f) + 1/2*pi*a))*e^(b*x^3*log(abs(f)) + a*log(abs(f))) - 1/6*((2*b*i*x^3*log(abs(f)) - pi*b*x^3*sgn(f) + pi*b*x^3 - 2*i)*e^(1/2*(pi*b*x^3*(sgn(f) - 1) + pi*a*(sgn(f) - 1))*i)/(2*pi*b^2*i*log(abs(f))*sgn(f) - 2*pi*b^2*i*log(abs(f)) + pi^2*b^2*sgn(f) - pi^2*b^2 + 2*b^2*log(abs(f))^2) + (2*b*i*x^3*log(abs(f)) + pi*b*x^3*sgn(f) - pi*b*x^3 - 2*i)*e^(-1/2*(pi*b*x^3*(sgn(f) - 1) + pi*a*(sgn(f) - 1))*i)/(2*pi*b^2*i*log(abs(f))*sgn(f) - 2*pi*b^2*i*log(abs(f)) - pi^2*b^2*sgn(f) + pi^2*b^2 - 2*b^2*log(abs(f))^2))*e^(b*x^3*log(abs(f)) + a*log(abs(f)))/i","B",0
101,1,18,0,0.212726," ","integrate(f^(b*x^3+a)*x^2,x, algorithm=""giac"")","\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
102,0,0,0,0.000000," ","integrate(f^(b*x^3+a)/x,x, algorithm=""giac"")","\int \frac{f^{b x^{3} + a}}{x}\,{d x}"," ",0,"integrate(f^(b*x^3 + a)/x, x)","F",0
103,0,0,0,0.000000," ","integrate(f^(b*x^3+a)/x^4,x, algorithm=""giac"")","\int \frac{f^{b x^{3} + a}}{x^{4}}\,{d x}"," ",0,"integrate(f^(b*x^3 + a)/x^4, x)","F",0
104,0,0,0,0.000000," ","integrate(f^(b*x^3+a)/x^7,x, algorithm=""giac"")","\int \frac{f^{b x^{3} + a}}{x^{7}}\,{d x}"," ",0,"integrate(f^(b*x^3 + a)/x^7, x)","F",0
105,0,0,0,0.000000," ","integrate(f^(b*x^3+a)/x^10,x, algorithm=""giac"")","\int \frac{f^{b x^{3} + a}}{x^{10}}\,{d x}"," ",0,"integrate(f^(b*x^3 + a)/x^10, x)","F",0
106,0,0,0,0.000000," ","integrate(f^(b*x^3+a)/x^13,x, algorithm=""giac"")","\int \frac{f^{b x^{3} + a}}{x^{13}}\,{d x}"," ",0,"integrate(f^(b*x^3 + a)/x^13, x)","F",0
107,0,0,0,0.000000," ","integrate(f^(b*x^3+a)/x^16,x, algorithm=""giac"")","\int \frac{f^{b x^{3} + a}}{x^{16}}\,{d x}"," ",0,"integrate(f^(b*x^3 + a)/x^16, x)","F",0
108,0,0,0,0.000000," ","integrate(f^(b*x^3+a)*x^4,x, algorithm=""giac"")","\int f^{b x^{3} + a} x^{4}\,{d x}"," ",0,"integrate(f^(b*x^3 + a)*x^4, x)","F",0
109,0,0,0,0.000000," ","integrate(f^(b*x^3+a)*x^3,x, algorithm=""giac"")","\int f^{b x^{3} + a} x^{3}\,{d x}"," ",0,"integrate(f^(b*x^3 + a)*x^3, x)","F",0
110,0,0,0,0.000000," ","integrate(f^(b*x^3+a)*x,x, algorithm=""giac"")","\int f^{b x^{3} + a} x\,{d x}"," ",0,"integrate(f^(b*x^3 + a)*x, x)","F",0
111,0,0,0,0.000000," ","integrate(f^(b*x^3+a),x, algorithm=""giac"")","\int f^{b x^{3} + a}\,{d x}"," ",0,"integrate(f^(b*x^3 + a), x)","F",0
112,0,0,0,0.000000," ","integrate(f^(b*x^3+a)/x^2,x, algorithm=""giac"")","\int \frac{f^{b x^{3} + a}}{x^{2}}\,{d x}"," ",0,"integrate(f^(b*x^3 + a)/x^2, x)","F",0
113,0,0,0,0.000000," ","integrate(f^(b*x^3+a)/x^3,x, algorithm=""giac"")","\int \frac{f^{b x^{3} + a}}{x^{3}}\,{d x}"," ",0,"integrate(f^(b*x^3 + a)/x^3, x)","F",0
114,1,8,0,0.209764," ","integrate(exp(4*x^3)*x^2,x, algorithm=""giac"")","\frac{1}{12} \, e^{\left(4 \, x^{3}\right)}"," ",0,"1/12*e^(4*x^3)","A",0
115,0,0,0,0.000000," ","integrate(f^(a+b/x)*x^m,x, algorithm=""giac"")","\int f^{a + \frac{b}{x}} x^{m}\,{d x}"," ",0,"integrate(f^(a + b/x)*x^m, x)","F",0
116,0,0,0,0.000000," ","integrate(f^(a+b/x)*x^4,x, algorithm=""giac"")","\int f^{a + \frac{b}{x}} x^{4}\,{d x}"," ",0,"integrate(f^(a + b/x)*x^4, x)","F",0
117,0,0,0,0.000000," ","integrate(f^(a+b/x)*x^3,x, algorithm=""giac"")","\int f^{a + \frac{b}{x}} x^{3}\,{d x}"," ",0,"integrate(f^(a + b/x)*x^3, x)","F",0
118,0,0,0,0.000000," ","integrate(f^(a+b/x)*x^2,x, algorithm=""giac"")","\int f^{a + \frac{b}{x}} x^{2}\,{d x}"," ",0,"integrate(f^(a + b/x)*x^2, x)","F",0
119,0,0,0,0.000000," ","integrate(f^(a+b/x)*x,x, algorithm=""giac"")","\int f^{a + \frac{b}{x}} x\,{d x}"," ",0,"integrate(f^(a + b/x)*x, x)","F",0
120,0,0,0,0.000000," ","integrate(f^(a+b/x),x, algorithm=""giac"")","\int f^{a + \frac{b}{x}}\,{d x}"," ",0,"integrate(f^(a + b/x), x)","F",0
121,0,0,0,0.000000," ","integrate(f^(a+b/x)/x,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x}}}{x}\,{d x}"," ",0,"integrate(f^(a + b/x)/x, x)","F",0
122,1,20,0,0.181683," ","integrate(f^(a+b/x)/x^2,x, algorithm=""giac"")","-\frac{f^{\frac{a x + b}{x}}}{b \log\left(f\right)}"," ",0,"-f^((a*x + b)/x)/(b*log(f))","A",0
123,0,0,0,0.000000," ","integrate(f^(a+b/x)/x^3,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x}}}{x^{3}}\,{d x}"," ",0,"integrate(f^(a + b/x)/x^3, x)","F",0
124,0,0,0,0.000000," ","integrate(f^(a+b/x)/x^4,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x}}}{x^{4}}\,{d x}"," ",0,"integrate(f^(a + b/x)/x^4, x)","F",0
125,0,0,0,0.000000," ","integrate(f^(a+b/x)/x^5,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x}}}{x^{5}}\,{d x}"," ",0,"integrate(f^(a + b/x)/x^5, x)","F",0
126,0,0,0,0.000000," ","integrate(f^(a+b/x)/x^6,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x}}}{x^{6}}\,{d x}"," ",0,"integrate(f^(a + b/x)/x^6, x)","F",0
127,0,0,0,0.000000," ","integrate(f^(a+b/x)/x^7,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x}}}{x^{7}}\,{d x}"," ",0,"integrate(f^(a + b/x)/x^7, x)","F",0
128,0,0,0,0.000000," ","integrate(f^(a+b/x^2)*x^m,x, algorithm=""giac"")","\int f^{a + \frac{b}{x^{2}}} x^{m}\,{d x}"," ",0,"integrate(f^(a + b/x^2)*x^m, x)","F",0
129,0,0,0,0.000000," ","integrate(f^(a+b/x^2)*x^9,x, algorithm=""giac"")","\int f^{a + \frac{b}{x^{2}}} x^{9}\,{d x}"," ",0,"integrate(f^(a + b/x^2)*x^9, x)","F",0
130,0,0,0,0.000000," ","integrate(f^(a+b/x^2)*x^7,x, algorithm=""giac"")","\int f^{a + \frac{b}{x^{2}}} x^{7}\,{d x}"," ",0,"integrate(f^(a + b/x^2)*x^7, x)","F",0
131,0,0,0,0.000000," ","integrate(f^(a+b/x^2)*x^5,x, algorithm=""giac"")","\int f^{a + \frac{b}{x^{2}}} x^{5}\,{d x}"," ",0,"integrate(f^(a + b/x^2)*x^5, x)","F",0
132,0,0,0,0.000000," ","integrate(f^(a+b/x^2)*x^3,x, algorithm=""giac"")","\int f^{a + \frac{b}{x^{2}}} x^{3}\,{d x}"," ",0,"integrate(f^(a + b/x^2)*x^3, x)","F",0
133,0,0,0,0.000000," ","integrate(f^(a+b/x^2)*x,x, algorithm=""giac"")","\int f^{a + \frac{b}{x^{2}}} x\,{d x}"," ",0,"integrate(f^(a + b/x^2)*x, x)","F",0
134,0,0,0,0.000000," ","integrate(f^(a+b/x^2)/x,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x^{2}}}}{x}\,{d x}"," ",0,"integrate(f^(a + b/x^2)/x, x)","F",0
135,1,22,0,0.186066," ","integrate(f^(a+b/x^2)/x^3,x, algorithm=""giac"")","-\frac{f^{\frac{a x^{2} + b}{x^{2}}}}{2 \, b \log\left(f\right)}"," ",0,"-1/2*f^((a*x^2 + b)/x^2)/(b*log(f))","A",0
136,0,0,0,0.000000," ","integrate(f^(a+b/x^2)/x^5,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x^{2}}}}{x^{5}}\,{d x}"," ",0,"integrate(f^(a + b/x^2)/x^5, x)","F",0
137,0,0,0,0.000000," ","integrate(f^(a+b/x^2)/x^7,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x^{2}}}}{x^{7}}\,{d x}"," ",0,"integrate(f^(a + b/x^2)/x^7, x)","F",0
138,0,0,0,0.000000," ","integrate(f^(a+b/x^2)/x^9,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x^{2}}}}{x^{9}}\,{d x}"," ",0,"integrate(f^(a + b/x^2)/x^9, x)","F",0
139,0,0,0,0.000000," ","integrate(f^(a+b/x^2)/x^11,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x^{2}}}}{x^{11}}\,{d x}"," ",0,"integrate(f^(a + b/x^2)/x^11, x)","F",0
140,0,0,0,0.000000," ","integrate(f^(a+b/x^2)/x^13,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x^{2}}}}{x^{13}}\,{d x}"," ",0,"integrate(f^(a + b/x^2)/x^13, x)","F",0
141,0,0,0,0.000000," ","integrate(f^(a+b/x^2)*x^10,x, algorithm=""giac"")","\int f^{a + \frac{b}{x^{2}}} x^{10}\,{d x}"," ",0,"integrate(f^(a + b/x^2)*x^10, x)","F",0
142,0,0,0,0.000000," ","integrate(f^(a+b/x^2)*x^8,x, algorithm=""giac"")","\int f^{a + \frac{b}{x^{2}}} x^{8}\,{d x}"," ",0,"integrate(f^(a + b/x^2)*x^8, x)","F",0
143,0,0,0,0.000000," ","integrate(f^(a+b/x^2)*x^6,x, algorithm=""giac"")","\int f^{a + \frac{b}{x^{2}}} x^{6}\,{d x}"," ",0,"integrate(f^(a + b/x^2)*x^6, x)","F",0
144,0,0,0,0.000000," ","integrate(f^(a+b/x^2)*x^4,x, algorithm=""giac"")","\int f^{a + \frac{b}{x^{2}}} x^{4}\,{d x}"," ",0,"integrate(f^(a + b/x^2)*x^4, x)","F",0
145,0,0,0,0.000000," ","integrate(f^(a+b/x^2)*x^2,x, algorithm=""giac"")","\int f^{a + \frac{b}{x^{2}}} x^{2}\,{d x}"," ",0,"integrate(f^(a + b/x^2)*x^2, x)","F",0
146,0,0,0,0.000000," ","integrate(f^(a+b/x^2),x, algorithm=""giac"")","\int f^{a + \frac{b}{x^{2}}}\,{d x}"," ",0,"integrate(f^(a + b/x^2), x)","F",0
147,0,0,0,0.000000," ","integrate(f^(a+b/x^2)/x^2,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x^{2}}}}{x^{2}}\,{d x}"," ",0,"integrate(f^(a + b/x^2)/x^2, x)","F",0
148,0,0,0,0.000000," ","integrate(f^(a+b/x^2)/x^4,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x^{2}}}}{x^{4}}\,{d x}"," ",0,"integrate(f^(a + b/x^2)/x^4, x)","F",0
149,0,0,0,0.000000," ","integrate(f^(a+b/x^2)/x^6,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x^{2}}}}{x^{6}}\,{d x}"," ",0,"integrate(f^(a + b/x^2)/x^6, x)","F",0
150,0,0,0,0.000000," ","integrate(f^(a+b/x^2)/x^8,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x^{2}}}}{x^{8}}\,{d x}"," ",0,"integrate(f^(a + b/x^2)/x^8, x)","F",0
151,0,0,0,0.000000," ","integrate(f^(a+b/x^2)/x^10,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x^{2}}}}{x^{10}}\,{d x}"," ",0,"integrate(f^(a + b/x^2)/x^10, x)","F",0
152,0,0,0,0.000000," ","integrate(f^(a+b/x^2)/x^12,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x^{2}}}}{x^{12}}\,{d x}"," ",0,"integrate(f^(a + b/x^2)/x^12, x)","F",0
153,0,0,0,0.000000," ","integrate(f^(a+b/x^2)/x^14,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x^{2}}}}{x^{14}}\,{d x}"," ",0,"integrate(f^(a + b/x^2)/x^14, x)","F",0
154,0,0,0,0.000000," ","integrate(f^(a+b/x^3)*x^m,x, algorithm=""giac"")","\int f^{a + \frac{b}{x^{3}}} x^{m}\,{d x}"," ",0,"integrate(f^(a + b/x^3)*x^m, x)","F",0
155,0,0,0,0.000000," ","integrate(f^(a+b/x^3)*x^14,x, algorithm=""giac"")","\int f^{a + \frac{b}{x^{3}}} x^{14}\,{d x}"," ",0,"integrate(f^(a + b/x^3)*x^14, x)","F",0
156,0,0,0,0.000000," ","integrate(f^(a+b/x^3)*x^11,x, algorithm=""giac"")","\int f^{a + \frac{b}{x^{3}}} x^{11}\,{d x}"," ",0,"integrate(f^(a + b/x^3)*x^11, x)","F",0
157,0,0,0,0.000000," ","integrate(f^(a+b/x^3)*x^8,x, algorithm=""giac"")","\int f^{a + \frac{b}{x^{3}}} x^{8}\,{d x}"," ",0,"integrate(f^(a + b/x^3)*x^8, x)","F",0
158,0,0,0,0.000000," ","integrate(f^(a+b/x^3)*x^5,x, algorithm=""giac"")","\int f^{a + \frac{b}{x^{3}}} x^{5}\,{d x}"," ",0,"integrate(f^(a + b/x^3)*x^5, x)","F",0
159,0,0,0,0.000000," ","integrate(f^(a+b/x^3)*x^2,x, algorithm=""giac"")","\int f^{a + \frac{b}{x^{3}}} x^{2}\,{d x}"," ",0,"integrate(f^(a + b/x^3)*x^2, x)","F",0
160,0,0,0,0.000000," ","integrate(f^(a+b/x^3)/x,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x^{3}}}}{x}\,{d x}"," ",0,"integrate(f^(a + b/x^3)/x, x)","F",0
161,1,22,0,0.210451," ","integrate(f^(a+b/x^3)/x^4,x, algorithm=""giac"")","-\frac{f^{\frac{a x^{3} + b}{x^{3}}}}{3 \, b \log\left(f\right)}"," ",0,"-1/3*f^((a*x^3 + b)/x^3)/(b*log(f))","A",0
162,0,0,0,0.000000," ","integrate(f^(a+b/x^3)/x^7,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x^{3}}}}{x^{7}}\,{d x}"," ",0,"integrate(f^(a + b/x^3)/x^7, x)","F",0
163,0,0,0,0.000000," ","integrate(f^(a+b/x^3)/x^10,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x^{3}}}}{x^{10}}\,{d x}"," ",0,"integrate(f^(a + b/x^3)/x^10, x)","F",0
164,0,0,0,0.000000," ","integrate(f^(a+b/x^3)/x^13,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x^{3}}}}{x^{13}}\,{d x}"," ",0,"integrate(f^(a + b/x^3)/x^13, x)","F",0
165,0,0,0,0.000000," ","integrate(f^(a+b/x^3)/x^16,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x^{3}}}}{x^{16}}\,{d x}"," ",0,"integrate(f^(a + b/x^3)/x^16, x)","F",0
166,0,0,0,0.000000," ","integrate(f^(a+b/x^3)/x^19,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x^{3}}}}{x^{19}}\,{d x}"," ",0,"integrate(f^(a + b/x^3)/x^19, x)","F",0
167,0,0,0,0.000000," ","integrate(f^(a+b/x^3)*x^4,x, algorithm=""giac"")","\int f^{a + \frac{b}{x^{3}}} x^{4}\,{d x}"," ",0,"integrate(f^(a + b/x^3)*x^4, x)","F",0
168,0,0,0,0.000000," ","integrate(f^(a+b/x^3)*x^3,x, algorithm=""giac"")","\int f^{a + \frac{b}{x^{3}}} x^{3}\,{d x}"," ",0,"integrate(f^(a + b/x^3)*x^3, x)","F",0
169,0,0,0,0.000000," ","integrate(f^(a+b/x^3)*x,x, algorithm=""giac"")","\int f^{a + \frac{b}{x^{3}}} x\,{d x}"," ",0,"integrate(f^(a + b/x^3)*x, x)","F",0
170,0,0,0,0.000000," ","integrate(f^(a+b/x^3),x, algorithm=""giac"")","\int f^{a + \frac{b}{x^{3}}}\,{d x}"," ",0,"integrate(f^(a + b/x^3), x)","F",0
171,0,0,0,0.000000," ","integrate(f^(a+b/x^3)/x^2,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x^{3}}}}{x^{2}}\,{d x}"," ",0,"integrate(f^(a + b/x^3)/x^2, x)","F",0
172,0,0,0,0.000000," ","integrate(f^(a+b/x^3)/x^3,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x^{3}}}}{x^{3}}\,{d x}"," ",0,"integrate(f^(a + b/x^3)/x^3, x)","F",0
173,0,0,0,0.000000," ","integrate(f^(a+b/x^3)/x^5,x, algorithm=""giac"")","\int \frac{f^{a + \frac{b}{x^{3}}}}{x^{5}}\,{d x}"," ",0,"integrate(f^(a + b/x^3)/x^5, x)","F",0
174,0,0,0,0.000000," ","integrate(f^(a+b*x^n)*x^m,x, algorithm=""giac"")","\int f^{b x^{n} + a} x^{m}\,{d x}"," ",0,"integrate(f^(b*x^n + a)*x^m, x)","F",0
175,0,0,0,0.000000," ","integrate(f^(a+b*x^n)*x^3,x, algorithm=""giac"")","\int f^{b x^{n} + a} x^{3}\,{d x}"," ",0,"integrate(f^(b*x^n + a)*x^3, x)","F",0
176,0,0,0,0.000000," ","integrate(f^(a+b*x^n)*x^2,x, algorithm=""giac"")","\int f^{b x^{n} + a} x^{2}\,{d x}"," ",0,"integrate(f^(b*x^n + a)*x^2, x)","F",0
177,0,0,0,0.000000," ","integrate(f^(a+b*x^n)*x,x, algorithm=""giac"")","\int f^{b x^{n} + a} x\,{d x}"," ",0,"integrate(f^(b*x^n + a)*x, x)","F",0
178,0,0,0,0.000000," ","integrate(f^(a+b*x^n),x, algorithm=""giac"")","\int f^{b x^{n} + a}\,{d x}"," ",0,"integrate(f^(b*x^n + a), x)","F",0
179,0,0,0,0.000000," ","integrate(f^(a+b*x^n)/x,x, algorithm=""giac"")","\int \frac{f^{b x^{n} + a}}{x}\,{d x}"," ",0,"integrate(f^(b*x^n + a)/x, x)","F",0
180,0,0,0,0.000000," ","integrate(f^(a+b*x^n)/x^2,x, algorithm=""giac"")","\int \frac{f^{b x^{n} + a}}{x^{2}}\,{d x}"," ",0,"integrate(f^(b*x^n + a)/x^2, x)","F",0
181,0,0,0,0.000000," ","integrate(f^(a+b*x^n)/x^3,x, algorithm=""giac"")","\int \frac{f^{b x^{n} + a}}{x^{3}}\,{d x}"," ",0,"integrate(f^(b*x^n + a)/x^3, x)","F",0
182,0,0,0,0.000000," ","integrate(f^(a+b*x^n)/x^4,x, algorithm=""giac"")","\int \frac{f^{b x^{n} + a}}{x^{4}}\,{d x}"," ",0,"integrate(f^(b*x^n + a)/x^4, x)","F",0
183,0,0,0,0.000000," ","integrate(f^(a+b*x^n)*x^(-1+3*n),x, algorithm=""giac"")","\int f^{b x^{n} + a} x^{3 \, n - 1}\,{d x}"," ",0,"integrate(f^(b*x^n + a)*x^(3*n - 1), x)","F",0
184,0,0,0,0.000000," ","integrate(f^(a+b*x^n)*x^(-1+2*n),x, algorithm=""giac"")","\int f^{b x^{n} + a} x^{2 \, n - 1}\,{d x}"," ",0,"integrate(f^(b*x^n + a)*x^(2*n - 1), x)","F",0
185,1,20,0,0.223652," ","integrate(f^(a+b*x^n)*x^(-1+n),x, algorithm=""giac"")","\frac{f^{b x^{n} + a}}{b n \log\left(f\right)}"," ",0,"f^(b*x^n + a)/(b*n*log(f))","A",0
186,0,0,0,0.000000," ","integrate(f^(a+b*x^n)/x,x, algorithm=""giac"")","\int \frac{f^{b x^{n} + a}}{x}\,{d x}"," ",0,"integrate(f^(b*x^n + a)/x, x)","F",0
187,0,0,0,0.000000," ","integrate(f^(a+b*x^n)*x^(-1-n),x, algorithm=""giac"")","\int f^{b x^{n} + a} x^{-n - 1}\,{d x}"," ",0,"integrate(f^(b*x^n + a)*x^(-n - 1), x)","F",0
188,0,0,0,0.000000," ","integrate(f^(a+b*x^n)*x^(-1-2*n),x, algorithm=""giac"")","\int f^{b x^{n} + a} x^{-2 \, n - 1}\,{d x}"," ",0,"integrate(f^(b*x^n + a)*x^(-2*n - 1), x)","F",0
189,0,0,0,0.000000," ","integrate(f^(a+b*x^n)*x^(-1+5/2*n),x, algorithm=""giac"")","\int f^{b x^{n} + a} x^{\frac{5}{2} \, n - 1}\,{d x}"," ",0,"integrate(f^(b*x^n + a)*x^(5/2*n - 1), x)","F",0
190,0,0,0,0.000000," ","integrate(f^(a+b*x^n)*x^(-1+3/2*n),x, algorithm=""giac"")","\int f^{b x^{n} + a} x^{\frac{3}{2} \, n - 1}\,{d x}"," ",0,"integrate(f^(b*x^n + a)*x^(3/2*n - 1), x)","F",0
191,1,33,0,0.275066," ","integrate(f^(a+b*x^n)*x^(-1+1/2*n),x, algorithm=""giac"")","-\frac{\sqrt{\pi} f^{a} \operatorname{erf}\left(-\sqrt{-b \log\left(f\right)} \sqrt{x^{n}}\right)}{\sqrt{-b \log\left(f\right)} n}"," ",0,"-sqrt(pi)*f^a*erf(-sqrt(-b*log(f))*sqrt(x^n))/(sqrt(-b*log(f))*n)","A",0
192,0,0,0,0.000000," ","integrate(f^(a+b*x^n)*x^(-1-1/2*n),x, algorithm=""giac"")","\int f^{b x^{n} + a} x^{-\frac{1}{2} \, n - 1}\,{d x}"," ",0,"integrate(f^(b*x^n + a)*x^(-1/2*n - 1), x)","F",0
193,0,0,0,0.000000," ","integrate(f^(a+b*x^n)*x^(-1-3/2*n),x, algorithm=""giac"")","\int f^{b x^{n} + a} x^{-\frac{3}{2} \, n - 1}\,{d x}"," ",0,"integrate(f^(b*x^n + a)*x^(-3/2*n - 1), x)","F",0
194,1,10,0,0.210656," ","integrate(exp(-.1*x)*x,x, algorithm=""giac"")","{\left(-10.0000000000000 \, x - 100.000000000000\right)} e^{\left(-0.100000000000000 \, x\right)}"," ",0,"(-10.0000000000000*x - 100.000000000000)*e^(-0.100000000000000*x)","A",0
195,1,136,0,0.258521," ","integrate(f^(c*(b*x+a)^2)*x^3,x, algorithm=""giac"")","\frac{\frac{\sqrt{\pi} {\left(2 \, a^{3} c \log\left(f\right) - 3 \, a\right)} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right)} b {\left(x + \frac{a}{b}\right)}\right)}{\sqrt{-c \log\left(f\right)} b c \log\left(f\right)} + \frac{2 \, {\left(b^{2} c {\left(x + \frac{a}{b}\right)}^{2} \log\left(f\right) - 3 \, a b c {\left(x + \frac{a}{b}\right)} \log\left(f\right) + 3 \, a^{2} c \log\left(f\right) - 1\right)} e^{\left(b^{2} c x^{2} \log\left(f\right) + 2 \, a b c x \log\left(f\right) + a^{2} c \log\left(f\right)\right)}}{b c^{2} \log\left(f\right)^{2}}}{4 \, b^{3}}"," ",0,"1/4*(sqrt(pi)*(2*a^3*c*log(f) - 3*a)*erf(-sqrt(-c*log(f))*b*(x + a/b))/(sqrt(-c*log(f))*b*c*log(f)) + 2*(b^2*c*(x + a/b)^2*log(f) - 3*a*b*c*(x + a/b)*log(f) + 3*a^2*c*log(f) - 1)*e^(b^2*c*x^2*log(f) + 2*a*b*c*x*log(f) + a^2*c*log(f))/(b*c^2*log(f)^2))/b^3","A",0
196,1,107,0,0.250506," ","integrate(f^(c*(b*x+a)^2)*x^2,x, algorithm=""giac"")","-\frac{\frac{\sqrt{\pi} {\left(2 \, a^{2} c \log\left(f\right) - 1\right)} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right)} b {\left(x + \frac{a}{b}\right)}\right)}{\sqrt{-c \log\left(f\right)} b c \log\left(f\right)} - \frac{2 \, {\left(b {\left(x + \frac{a}{b}\right)} - 2 \, a\right)} e^{\left(b^{2} c x^{2} \log\left(f\right) + 2 \, a b c x \log\left(f\right) + a^{2} c \log\left(f\right)\right)}}{b c \log\left(f\right)}}{4 \, b^{2}}"," ",0,"-1/4*(sqrt(pi)*(2*a^2*c*log(f) - 1)*erf(-sqrt(-c*log(f))*b*(x + a/b))/(sqrt(-c*log(f))*b*c*log(f)) - 2*(b*(x + a/b) - 2*a)*e^(b^2*c*x^2*log(f) + 2*a*b*c*x*log(f) + a^2*c*log(f))/(b*c*log(f)))/b^2","A",0
197,1,77,0,0.250144," ","integrate(f^(c*(b*x+a)^2)*x,x, algorithm=""giac"")","\frac{\frac{\sqrt{\pi} a \operatorname{erf}\left(-\sqrt{-c \log\left(f\right)} b {\left(x + \frac{a}{b}\right)}\right)}{\sqrt{-c \log\left(f\right)} b} + \frac{e^{\left(b^{2} c x^{2} \log\left(f\right) + 2 \, a b c x \log\left(f\right) + a^{2} c \log\left(f\right)\right)}}{b c \log\left(f\right)}}{2 \, b}"," ",0,"1/2*(sqrt(pi)*a*erf(-sqrt(-c*log(f))*b*(x + a/b))/(sqrt(-c*log(f))*b) + e^(b^2*c*x^2*log(f) + 2*a*b*c*x*log(f) + a^2*c*log(f))/(b*c*log(f)))/b","A",0
198,1,33,0,0.204221," ","integrate(f^(c*(b*x+a)^2),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(f\right)} b {\left(x + \frac{a}{b}\right)}\right)}{2 \, \sqrt{-c \log\left(f\right)} b}"," ",0,"-1/2*sqrt(pi)*erf(-sqrt(-c*log(f))*b*(x + a/b))/(sqrt(-c*log(f))*b)","A",0
199,0,0,0,0.000000," ","integrate(f^(c*(b*x+a)^2)/x,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
215,1,19,0,0.209326," ","integrate(exp((5+3*x)^(1/2)),x, algorithm=""giac"")","\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=""giac"")","\int f^{\frac{c}{b x + a}} x^{4}\,{d x}"," ",0,"integrate(f^(c/(b*x + a))*x^4, x)","F",0
217,0,0,0,0.000000," ","integrate(f^(c/(b*x+a))*x^3,x, algorithm=""giac"")","\int f^{\frac{c}{b x + a}} x^{3}\,{d x}"," ",0,"integrate(f^(c/(b*x + a))*x^3, x)","F",0
218,0,0,0,0.000000," ","integrate(f^(c/(b*x+a))*x^2,x, algorithm=""giac"")","\int f^{\frac{c}{b x + a}} x^{2}\,{d x}"," ",0,"integrate(f^(c/(b*x + a))*x^2, x)","F",0
219,0,0,0,0.000000," ","integrate(f^(c/(b*x+a))*x,x, algorithm=""giac"")","\int f^{\frac{c}{b x + a}} x\,{d x}"," ",0,"integrate(f^(c/(b*x + a))*x, x)","F",0
220,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)),x, algorithm=""giac"")","\int f^{\frac{c}{b x + a}}\,{d x}"," ",0,"integrate(f^(c/(b*x + a)), x)","F",0
221,0,0,0,0.000000," ","integrate(f^(c/(b*x+a))/x,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\int f^{\frac{c}{{\left(b x + a\right)}^{2}}} x^{4}\,{d x}"," ",0,"integrate(f^(c/(b*x + a)^2)*x^4, x)","F",0
225,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^2)*x^3,x, algorithm=""giac"")","\int 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
226,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^2)*x^2,x, algorithm=""giac"")","\int 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
227,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^2)*x,x, algorithm=""giac"")","\int f^{\frac{c}{{\left(b x + a\right)}^{2}}} x\,{d x}"," ",0,"integrate(f^(c/(b*x + a)^2)*x, x)","F",0
228,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^2),x, algorithm=""giac"")","\int f^{\frac{c}{{\left(b x + a\right)}^{2}}}\,{d x}"," ",0,"integrate(f^(c/(b*x + a)^2), x)","F",0
229,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^2)/x,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\int f^{\frac{c}{{\left(b x + a\right)}^{3}}} x^{4}\,{d x}"," ",0,"integrate(f^(c/(b*x + a)^3)*x^4, x)","F",0
233,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^3)*x^3,x, algorithm=""giac"")","\int 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
234,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^3)*x^2,x, algorithm=""giac"")","\int 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
235,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^3)*x,x, algorithm=""giac"")","\int f^{\frac{c}{{\left(b x + a\right)}^{3}}} x\,{d x}"," ",0,"integrate(f^(c/(b*x + a)^3)*x, x)","F",0
236,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^3),x, algorithm=""giac"")","\int f^{\frac{c}{{\left(b x + a\right)}^{3}}}\,{d x}"," ",0,"integrate(f^(c/(b*x + a)^3), x)","F",0
237,0,0,0,0.000000," ","integrate(f^(c/(b*x+a)^3)/x,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
242,0,0,0,0.000000," ","integrate(f^(c*(b*x+a))*x^m,x, algorithm=""giac"")","\int f^{{\left(b x + a\right)} c} x^{m}\,{d x}"," ",0,"integrate(f^((b*x + a)*c)*x^m, x)","F",0
243,0,0,0,0.000000," ","integrate(f^(c/(b*x+a))*x^m,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
255,1,145,0,0.338711," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^11,x, algorithm=""giac"")","\frac{{\left(b^{5} d^{10} {\left(x + \frac{c}{d}\right)}^{10} \log\left(F\right)^{5} - 5 \, b^{4} d^{8} {\left(x + \frac{c}{d}\right)}^{8} \log\left(F\right)^{4} + 20 \, b^{3} d^{6} {\left(x + \frac{c}{d}\right)}^{6} \log\left(F\right)^{3} - 60 \, b^{2} d^{4} {\left(x + \frac{c}{d}\right)}^{4} \log\left(F\right)^{2} + 120 \, b d^{2} {\left(x + \frac{c}{d}\right)}^{2} \log\left(F\right) - 120\right)} e^{\left(b d^{2} x^{2} \log\left(F\right) + 2 \, b c d x \log\left(F\right) + b c^{2} \log\left(F\right) + a \log\left(F\right)\right)}}{2 \, b^{6} d \log\left(F\right)^{6}}"," ",0,"1/2*(b^5*d^10*(x + c/d)^10*log(F)^5 - 5*b^4*d^8*(x + c/d)^8*log(F)^4 + 20*b^3*d^6*(x + c/d)^6*log(F)^3 - 60*b^2*d^4*(x + c/d)^4*log(F)^2 + 120*b*d^2*(x + c/d)^2*log(F) - 120)*e^(b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) + b*c^2*log(F) + a*log(F))/(b^6*d*log(F)^6)","A",0
256,1,124,0,0.363391," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^9,x, algorithm=""giac"")","\frac{{\left(b^{4} d^{8} {\left(x + \frac{c}{d}\right)}^{8} \log\left(F\right)^{4} - 4 \, b^{3} d^{6} {\left(x + \frac{c}{d}\right)}^{6} \log\left(F\right)^{3} + 12 \, b^{2} d^{4} {\left(x + \frac{c}{d}\right)}^{4} \log\left(F\right)^{2} - 24 \, b d^{2} {\left(x + \frac{c}{d}\right)}^{2} \log\left(F\right) + 24\right)} e^{\left(b d^{2} x^{2} \log\left(F\right) + 2 \, b c d x \log\left(F\right) + b c^{2} \log\left(F\right) + a \log\left(F\right)\right)}}{2 \, b^{5} d \log\left(F\right)^{5}}"," ",0,"1/2*(b^4*d^8*(x + c/d)^8*log(F)^4 - 4*b^3*d^6*(x + c/d)^6*log(F)^3 + 12*b^2*d^4*(x + c/d)^4*log(F)^2 - 24*b*d^2*(x + c/d)^2*log(F) + 24)*e^(b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) + b*c^2*log(F) + a*log(F))/(b^5*d*log(F)^5)","A",0
257,1,103,0,0.312795," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^7,x, algorithm=""giac"")","\frac{{\left(b^{3} d^{6} {\left(x + \frac{c}{d}\right)}^{6} \log\left(F\right)^{3} - 3 \, b^{2} d^{4} {\left(x + \frac{c}{d}\right)}^{4} \log\left(F\right)^{2} + 6 \, b d^{2} {\left(x + \frac{c}{d}\right)}^{2} \log\left(F\right) - 6\right)} e^{\left(b d^{2} x^{2} \log\left(F\right) + 2 \, b c d x \log\left(F\right) + b c^{2} \log\left(F\right) + a \log\left(F\right)\right)}}{2 \, b^{4} d \log\left(F\right)^{4}}"," ",0,"1/2*(b^3*d^6*(x + c/d)^6*log(F)^3 - 3*b^2*d^4*(x + c/d)^4*log(F)^2 + 6*b*d^2*(x + c/d)^2*log(F) - 6)*e^(b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) + b*c^2*log(F) + a*log(F))/(b^4*d*log(F)^4)","A",0
258,1,82,0,0.295024," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^5,x, algorithm=""giac"")","\frac{{\left(b^{2} d^{4} {\left(x + \frac{c}{d}\right)}^{4} \log\left(F\right)^{2} - 2 \, b d^{2} {\left(x + \frac{c}{d}\right)}^{2} \log\left(F\right) + 2\right)} e^{\left(b d^{2} x^{2} \log\left(F\right) + 2 \, b c d x \log\left(F\right) + b c^{2} \log\left(F\right) + a \log\left(F\right)\right)}}{2 \, b^{3} d \log\left(F\right)^{3}}"," ",0,"1/2*(b^2*d^4*(x + c/d)^4*log(F)^2 - 2*b*d^2*(x + c/d)^2*log(F) + 2)*e^(b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) + b*c^2*log(F) + a*log(F))/(b^3*d*log(F)^3)","A",0
259,1,1186,0,0.350371," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^3,x, algorithm=""giac"")","\frac{1}{2} \, {\left(2 \, {\left(\frac{{\left(\pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} d^{2} \log\left({\left| F \right|}\right)\right)} {\left(\pi b c^{2} d \mathrm{sgn}\left(F\right) + \pi {\left(d x^{2} + 2 \, c x\right)} b d^{2} \mathrm{sgn}\left(F\right) - \pi b c^{2} d - \pi {\left(d x^{2} + 2 \, c x\right)} b d^{2}\right)}}{{\left(\pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} + 2 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} d^{2} \log\left({\left| F \right|}\right)\right)}^{2}} + \frac{{\left(\pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} + 2 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}\right)} {\left(b c^{2} d \log\left({\left| F \right|}\right) + {\left(d x^{2} + 2 \, c x\right)} b d^{2} \log\left({\left| F \right|}\right) - d\right)}}{{\left(\pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} + 2 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} d^{2} \log\left({\left| F \right|}\right)\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi b d^{2} x^{2} \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d^{2} x^{2} - \pi b c d x \mathrm{sgn}\left(F\right) + \pi b c d x - \frac{1}{2} \, \pi b c^{2} \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c^{2} - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right) + {\left(\frac{{\left(\pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} + 2 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}\right)} {\left(\pi b c^{2} d \mathrm{sgn}\left(F\right) + \pi {\left(d x^{2} + 2 \, c x\right)} b d^{2} \mathrm{sgn}\left(F\right) - \pi b c^{2} d - \pi {\left(d x^{2} + 2 \, c x\right)} b d^{2}\right)}}{{\left(\pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} + 2 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} d^{2} \log\left({\left| F \right|}\right)\right)}^{2}} - \frac{4 \, {\left(\pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} d^{2} \log\left({\left| F \right|}\right)\right)} {\left(b c^{2} d \log\left({\left| F \right|}\right) + {\left(d x^{2} + 2 \, c x\right)} b d^{2} \log\left({\left| F \right|}\right) - d\right)}}{{\left(\pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} + 2 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} d^{2} \log\left({\left| F \right|}\right)\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi b d^{2} x^{2} \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d^{2} x^{2} - \pi b c d x \mathrm{sgn}\left(F\right) + \pi b c d x - \frac{1}{2} \, \pi b c^{2} \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c^{2} - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right)\right)} e^{\left(b c^{2} \log\left({\left| F \right|}\right) + {\left(d x^{2} + 2 \, c x\right)} b d \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right)\right)} - \frac{{\left(\frac{{\left(2 \, b c^{2} d i \log\left({\left| F \right|}\right) + 2 \, {\left(d x^{2} + 2 \, c x\right)} b d^{2} i \log\left({\left| F \right|}\right) - \pi b c^{2} d \mathrm{sgn}\left(F\right) - \pi {\left(d x^{2} + 2 \, c x\right)} b d^{2} \mathrm{sgn}\left(F\right) + \pi b c^{2} d + \pi {\left(d x^{2} + 2 \, c x\right)} b d^{2} - 2 \, d i\right)} e^{\left(\frac{1}{2} \, {\left(\pi b c^{2} {\left(\mathrm{sgn}\left(F\right) - 1\right)} + \pi {\left(d x^{2} + 2 \, c x\right)} b d {\left(\mathrm{sgn}\left(F\right) - 1\right)} + \pi a {\left(\mathrm{sgn}\left(F\right) - 1\right)}\right)} i\right)}}{2 \, \pi b^{2} d^{2} i \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi b^{2} d^{2} i \log\left({\left| F \right|}\right) + \pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} d^{2} + 2 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}} + \frac{{\left(2 \, b c^{2} d i \log\left({\left| F \right|}\right) + 2 \, {\left(d x^{2} + 2 \, c x\right)} b d^{2} i \log\left({\left| F \right|}\right) + \pi b c^{2} d \mathrm{sgn}\left(F\right) + \pi {\left(d x^{2} + 2 \, c x\right)} b d^{2} \mathrm{sgn}\left(F\right) - \pi b c^{2} d - \pi {\left(d x^{2} + 2 \, c x\right)} b d^{2} - 2 \, d i\right)} e^{\left(-\frac{1}{2} \, {\left(\pi b c^{2} {\left(\mathrm{sgn}\left(F\right) - 1\right)} + \pi {\left(d x^{2} + 2 \, c x\right)} b d {\left(\mathrm{sgn}\left(F\right) - 1\right)} + \pi a {\left(\mathrm{sgn}\left(F\right) - 1\right)}\right)} i\right)}}{2 \, \pi b^{2} d^{2} i \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi b^{2} d^{2} i \log\left({\left| F \right|}\right) - \pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right) + \pi^{2} b^{2} d^{2} - 2 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}}\right)} e^{\left(b c^{2} \log\left({\left| F \right|}\right) + {\left(d x^{2} + 2 \, c x\right)} b d \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right)\right)}}{4 \, i}"," ",0,"1/2*(2*((pi*b^2*d^2*log(abs(F))*sgn(F) - pi*b^2*d^2*log(abs(F)))*(pi*b*c^2*d*sgn(F) + pi*(d*x^2 + 2*c*x)*b*d^2*sgn(F) - pi*b*c^2*d - pi*(d*x^2 + 2*c*x)*b*d^2)/((pi^2*b^2*d^2*sgn(F) - pi^2*b^2*d^2 + 2*b^2*d^2*log(abs(F))^2)^2 + 4*(pi*b^2*d^2*log(abs(F))*sgn(F) - pi*b^2*d^2*log(abs(F)))^2) + (pi^2*b^2*d^2*sgn(F) - pi^2*b^2*d^2 + 2*b^2*d^2*log(abs(F))^2)*(b*c^2*d*log(abs(F)) + (d*x^2 + 2*c*x)*b*d^2*log(abs(F)) - d)/((pi^2*b^2*d^2*sgn(F) - pi^2*b^2*d^2 + 2*b^2*d^2*log(abs(F))^2)^2 + 4*(pi*b^2*d^2*log(abs(F))*sgn(F) - pi*b^2*d^2*log(abs(F)))^2))*cos(-1/2*pi*b*d^2*x^2*sgn(F) + 1/2*pi*b*d^2*x^2 - pi*b*c*d*x*sgn(F) + pi*b*c*d*x - 1/2*pi*b*c^2*sgn(F) + 1/2*pi*b*c^2 - 1/2*pi*a*sgn(F) + 1/2*pi*a) + ((pi^2*b^2*d^2*sgn(F) - pi^2*b^2*d^2 + 2*b^2*d^2*log(abs(F))^2)*(pi*b*c^2*d*sgn(F) + pi*(d*x^2 + 2*c*x)*b*d^2*sgn(F) - pi*b*c^2*d - pi*(d*x^2 + 2*c*x)*b*d^2)/((pi^2*b^2*d^2*sgn(F) - pi^2*b^2*d^2 + 2*b^2*d^2*log(abs(F))^2)^2 + 4*(pi*b^2*d^2*log(abs(F))*sgn(F) - pi*b^2*d^2*log(abs(F)))^2) - 4*(pi*b^2*d^2*log(abs(F))*sgn(F) - pi*b^2*d^2*log(abs(F)))*(b*c^2*d*log(abs(F)) + (d*x^2 + 2*c*x)*b*d^2*log(abs(F)) - d)/((pi^2*b^2*d^2*sgn(F) - pi^2*b^2*d^2 + 2*b^2*d^2*log(abs(F))^2)^2 + 4*(pi*b^2*d^2*log(abs(F))*sgn(F) - pi*b^2*d^2*log(abs(F)))^2))*sin(-1/2*pi*b*d^2*x^2*sgn(F) + 1/2*pi*b*d^2*x^2 - pi*b*c*d*x*sgn(F) + pi*b*c*d*x - 1/2*pi*b*c^2*sgn(F) + 1/2*pi*b*c^2 - 1/2*pi*a*sgn(F) + 1/2*pi*a))*e^(b*c^2*log(abs(F)) + (d*x^2 + 2*c*x)*b*d*log(abs(F)) + a*log(abs(F))) - 1/4*((2*b*c^2*d*i*log(abs(F)) + 2*(d*x^2 + 2*c*x)*b*d^2*i*log(abs(F)) - pi*b*c^2*d*sgn(F) - pi*(d*x^2 + 2*c*x)*b*d^2*sgn(F) + pi*b*c^2*d + pi*(d*x^2 + 2*c*x)*b*d^2 - 2*d*i)*e^(1/2*(pi*b*c^2*(sgn(F) - 1) + pi*(d*x^2 + 2*c*x)*b*d*(sgn(F) - 1) + pi*a*(sgn(F) - 1))*i)/(2*pi*b^2*d^2*i*log(abs(F))*sgn(F) - 2*pi*b^2*d^2*i*log(abs(F)) + pi^2*b^2*d^2*sgn(F) - pi^2*b^2*d^2 + 2*b^2*d^2*log(abs(F))^2) + (2*b*c^2*d*i*log(abs(F)) + 2*(d*x^2 + 2*c*x)*b*d^2*i*log(abs(F)) + pi*b*c^2*d*sgn(F) + pi*(d*x^2 + 2*c*x)*b*d^2*sgn(F) - pi*b*c^2*d - pi*(d*x^2 + 2*c*x)*b*d^2 - 2*d*i)*e^(-1/2*(pi*b*c^2*(sgn(F) - 1) + pi*(d*x^2 + 2*c*x)*b*d*(sgn(F) - 1) + pi*a*(sgn(F) - 1))*i)/(2*pi*b^2*d^2*i*log(abs(F))*sgn(F) - 2*pi*b^2*d^2*i*log(abs(F)) - pi^2*b^2*d^2*sgn(F) + pi^2*b^2*d^2 - 2*b^2*d^2*log(abs(F))^2))*e^(b*c^2*log(abs(F)) + (d*x^2 + 2*c*x)*b*d*log(abs(F)) + a*log(abs(F)))/i","B",0
260,1,35,0,0.192338," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c),x, algorithm=""giac"")","\frac{F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{2 \, b d \log\left(F\right)}"," ",0,"1/2*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a)/(b*d*log(F))","A",0
261,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
267,1,195,0,0.368973," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^12,x, algorithm=""giac"")","\frac{{\left(32 \, b^{5} d^{10} {\left(x + \frac{c}{d}\right)}^{11} \log\left(F\right)^{5} - 176 \, b^{4} d^{8} {\left(x + \frac{c}{d}\right)}^{9} \log\left(F\right)^{4} + 792 \, b^{3} d^{6} {\left(x + \frac{c}{d}\right)}^{7} \log\left(F\right)^{3} - 2772 \, b^{2} d^{4} {\left(x + \frac{c}{d}\right)}^{5} \log\left(F\right)^{2} + 6930 \, b d^{2} {\left(x + \frac{c}{d}\right)}^{3} \log\left(F\right) - 10395 \, x - \frac{10395 \, c}{d}\right)} e^{\left(b d^{2} x^{2} \log\left(F\right) + 2 \, b c d x \log\left(F\right) + b c^{2} \log\left(F\right) + a \log\left(F\right)\right)}}{64 \, b^{6} \log\left(F\right)^{6}} - \frac{10395 \, \sqrt{\pi} F^{a} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right)}{128 \, \sqrt{-b \log\left(F\right)} b^{6} d \log\left(F\right)^{6}}"," ",0,"1/64*(32*b^5*d^10*(x + c/d)^11*log(F)^5 - 176*b^4*d^8*(x + c/d)^9*log(F)^4 + 792*b^3*d^6*(x + c/d)^7*log(F)^3 - 2772*b^2*d^4*(x + c/d)^5*log(F)^2 + 6930*b*d^2*(x + c/d)^3*log(F) - 10395*x - 10395*c/d)*e^(b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) + b*c^2*log(F) + a*log(F))/(b^6*log(F)^6) - 10395/128*sqrt(pi)*F^a*erf(-sqrt(-b*log(F))*d*(x + c/d))/(sqrt(-b*log(F))*b^6*d*log(F)^6)","A",0
268,1,174,0,0.349964," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^10,x, algorithm=""giac"")","\frac{{\left(16 \, b^{4} d^{8} {\left(x + \frac{c}{d}\right)}^{9} \log\left(F\right)^{4} - 72 \, b^{3} d^{6} {\left(x + \frac{c}{d}\right)}^{7} \log\left(F\right)^{3} + 252 \, b^{2} d^{4} {\left(x + \frac{c}{d}\right)}^{5} \log\left(F\right)^{2} - 630 \, b d^{2} {\left(x + \frac{c}{d}\right)}^{3} \log\left(F\right) + 945 \, x + \frac{945 \, c}{d}\right)} e^{\left(b d^{2} x^{2} \log\left(F\right) + 2 \, b c d x \log\left(F\right) + b c^{2} \log\left(F\right) + a \log\left(F\right)\right)}}{32 \, b^{5} \log\left(F\right)^{5}} + \frac{945 \, \sqrt{\pi} F^{a} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right)}{64 \, \sqrt{-b \log\left(F\right)} b^{5} d \log\left(F\right)^{5}}"," ",0,"1/32*(16*b^4*d^8*(x + c/d)^9*log(F)^4 - 72*b^3*d^6*(x + c/d)^7*log(F)^3 + 252*b^2*d^4*(x + c/d)^5*log(F)^2 - 630*b*d^2*(x + c/d)^3*log(F) + 945*x + 945*c/d)*e^(b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) + b*c^2*log(F) + a*log(F))/(b^5*log(F)^5) + 945/64*sqrt(pi)*F^a*erf(-sqrt(-b*log(F))*d*(x + c/d))/(sqrt(-b*log(F))*b^5*d*log(F)^5)","A",0
269,1,153,0,0.307101," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^8,x, algorithm=""giac"")","\frac{{\left(8 \, b^{3} d^{6} {\left(x + \frac{c}{d}\right)}^{7} \log\left(F\right)^{3} - 28 \, b^{2} d^{4} {\left(x + \frac{c}{d}\right)}^{5} \log\left(F\right)^{2} + 70 \, b d^{2} {\left(x + \frac{c}{d}\right)}^{3} \log\left(F\right) - 105 \, x - \frac{105 \, c}{d}\right)} e^{\left(b d^{2} x^{2} \log\left(F\right) + 2 \, b c d x \log\left(F\right) + b c^{2} \log\left(F\right) + a \log\left(F\right)\right)}}{16 \, b^{4} \log\left(F\right)^{4}} - \frac{105 \, \sqrt{\pi} F^{a} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right)}{32 \, \sqrt{-b \log\left(F\right)} b^{4} d \log\left(F\right)^{4}}"," ",0,"1/16*(8*b^3*d^6*(x + c/d)^7*log(F)^3 - 28*b^2*d^4*(x + c/d)^5*log(F)^2 + 70*b*d^2*(x + c/d)^3*log(F) - 105*x - 105*c/d)*e^(b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) + b*c^2*log(F) + a*log(F))/(b^4*log(F)^4) - 105/32*sqrt(pi)*F^a*erf(-sqrt(-b*log(F))*d*(x + c/d))/(sqrt(-b*log(F))*b^4*d*log(F)^4)","A",0
270,1,132,0,0.308102," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^6,x, algorithm=""giac"")","\frac{{\left(4 \, b^{2} d^{4} {\left(x + \frac{c}{d}\right)}^{5} \log\left(F\right)^{2} - 10 \, b d^{2} {\left(x + \frac{c}{d}\right)}^{3} \log\left(F\right) + 15 \, x + \frac{15 \, c}{d}\right)} e^{\left(b d^{2} x^{2} \log\left(F\right) + 2 \, b c d x \log\left(F\right) + b c^{2} \log\left(F\right) + a \log\left(F\right)\right)}}{8 \, b^{3} \log\left(F\right)^{3}} + \frac{15 \, \sqrt{\pi} F^{a} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right)}{16 \, \sqrt{-b \log\left(F\right)} b^{3} d \log\left(F\right)^{3}}"," ",0,"1/8*(4*b^2*d^4*(x + c/d)^5*log(F)^2 - 10*b*d^2*(x + c/d)^3*log(F) + 15*x + 15*c/d)*e^(b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) + b*c^2*log(F) + a*log(F))/(b^3*log(F)^3) + 15/16*sqrt(pi)*F^a*erf(-sqrt(-b*log(F))*d*(x + c/d))/(sqrt(-b*log(F))*b^3*d*log(F)^3)","A",0
271,1,111,0,0.292443," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^4,x, algorithm=""giac"")","\frac{{\left(2 \, b d^{2} {\left(x + \frac{c}{d}\right)}^{3} \log\left(F\right) - 3 \, x - \frac{3 \, c}{d}\right)} e^{\left(b d^{2} x^{2} \log\left(F\right) + 2 \, b c d x \log\left(F\right) + b c^{2} \log\left(F\right) + a \log\left(F\right)\right)}}{4 \, b^{2} \log\left(F\right)^{2}} - \frac{3 \, \sqrt{\pi} F^{a} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right)}{8 \, \sqrt{-b \log\left(F\right)} b^{2} d \log\left(F\right)^{2}}"," ",0,"1/4*(2*b*d^2*(x + c/d)^3*log(F) - 3*x - 3*c/d)*e^(b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) + b*c^2*log(F) + a*log(F))/(b^2*log(F)^2) - 3/8*sqrt(pi)*F^a*erf(-sqrt(-b*log(F))*d*(x + c/d))/(sqrt(-b*log(F))*b^2*d*log(F)^2)","A",0
272,1,91,0,0.272209," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^2,x, algorithm=""giac"")","\frac{{\left(x + \frac{c}{d}\right)} e^{\left(b d^{2} x^{2} \log\left(F\right) + 2 \, b c d x \log\left(F\right) + b c^{2} \log\left(F\right) + a \log\left(F\right)\right)}}{2 \, b \log\left(F\right)} + \frac{\sqrt{\pi} F^{a} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right)}{4 \, \sqrt{-b \log\left(F\right)} b d \log\left(F\right)}"," ",0,"1/2*(x + c/d)*e^(b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) + b*c^2*log(F) + a*log(F))/(b*log(F)) + 1/4*sqrt(pi)*F^a*erf(-sqrt(-b*log(F))*d*(x + c/d))/(sqrt(-b*log(F))*b*d*log(F))","A",0
273,1,36,0,0.197635," ","integrate(F^(a+b*(d*x+c)^2),x, algorithm=""giac"")","-\frac{\sqrt{\pi} F^{a} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right)}{2 \, \sqrt{-b \log\left(F\right)} d}"," ",0,"-1/2*sqrt(pi)*F^a*erf(-sqrt(-b*log(F))*d*(x + c/d))/(sqrt(-b*log(F))*d)","A",0
274,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c)^2,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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,-2,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^3)*(d*x+c)^17,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Polynomial exponent overflow. Error: Bad Argument Value","F(-2)",0
282,-2,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^3)*(d*x+c)^14,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Polynomial exponent overflow. Error: Bad Argument Value","F(-2)",0
283,1,1320,0,0.509458," ","integrate(F^(a+b*(d*x+c)^3)*(d*x+c)^11,x, algorithm=""giac"")","\frac{b^{3} d^{9} x^{9} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right)^{3} + 9 \, b^{3} c d^{8} x^{8} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right)^{3} + 36 \, b^{3} c^{2} d^{7} x^{7} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right)^{3} + 84 \, b^{3} c^{3} d^{6} x^{6} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right)^{3} + 126 \, b^{3} c^{4} d^{5} x^{5} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right)^{3} + 126 \, b^{3} c^{5} d^{4} x^{4} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right)^{3} + 84 \, b^{3} c^{6} d^{3} x^{3} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right)^{3} + 36 \, b^{3} c^{7} d^{2} x^{2} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right)^{3} - 3 \, b^{2} d^{6} x^{6} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right)^{2} + 9 \, b^{3} c^{8} d x 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right)^{3} - 18 \, b^{2} c d^{5} x^{5} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right)^{2} + b^{3} c^{9} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right)^{3} - 45 \, b^{2} c^{2} d^{4} x^{4} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right)^{2} - 60 \, b^{2} c^{3} d^{3} x^{3} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right)^{2} - 45 \, b^{2} c^{4} d^{2} x^{2} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right)^{2} - 18 \, b^{2} c^{5} d x 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right)^{2} - 3 \, b^{2} c^{6} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right)^{2} + 6 \, b d^{3} x^{3} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right) + 18 \, b c d^{2} x^{2} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right) + 18 \, b c^{2} d x 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right) + 6 \, b c^{3} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right) - 6 \, 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)}}{3 \, b^{4} d \log\left(F\right)^{4}}"," ",0,"1/3*(b^3*d^9*x^9*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*c^3*log(F) + a*log(F))*log(F)^3 + 9*b^3*c*d^8*x^8*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*c^3*log(F) + a*log(F))*log(F)^3 + 36*b^3*c^2*d^7*x^7*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*c^3*log(F) + a*log(F))*log(F)^3 + 84*b^3*c^3*d^6*x^6*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*c^3*log(F) + a*log(F))*log(F)^3 + 126*b^3*c^4*d^5*x^5*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*c^3*log(F) + a*log(F))*log(F)^3 + 126*b^3*c^5*d^4*x^4*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*c^3*log(F) + a*log(F))*log(F)^3 + 84*b^3*c^6*d^3*x^3*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*c^3*log(F) + a*log(F))*log(F)^3 + 36*b^3*c^7*d^2*x^2*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*c^3*log(F) + a*log(F))*log(F)^3 - 3*b^2*d^6*x^6*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*c^3*log(F) + a*log(F))*log(F)^2 + 9*b^3*c^8*d*x*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*c^3*log(F) + a*log(F))*log(F)^3 - 18*b^2*c*d^5*x^5*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*c^3*log(F) + a*log(F))*log(F)^2 + b^3*c^9*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*c^3*log(F) + a*log(F))*log(F)^3 - 45*b^2*c^2*d^4*x^4*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*c^3*log(F) + a*log(F))*log(F)^2 - 60*b^2*c^3*d^3*x^3*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*c^3*log(F) + a*log(F))*log(F)^2 - 45*b^2*c^4*d^2*x^2*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*c^3*log(F) + a*log(F))*log(F)^2 - 18*b^2*c^5*d*x*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*c^3*log(F) + a*log(F))*log(F)^2 - 3*b^2*c^6*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*c^3*log(F) + a*log(F))*log(F)^2 + 6*b*d^3*x^3*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*c^3*log(F) + a*log(F))*log(F) + 18*b*c*d^2*x^2*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*c^3*log(F) + a*log(F))*log(F) + 18*b*c^2*d*x*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*c^3*log(F) + a*log(F))*log(F) + 6*b*c^3*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*c^3*log(F) + a*log(F))*log(F) - 6*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*c^3*log(F) + a*log(F)))/(b^4*d*log(F)^4)","B",0
284,1,705,0,0.451701," ","integrate(F^(a+b*(d*x+c)^3)*(d*x+c)^8,x, algorithm=""giac"")","\frac{b^{2} d^{6} x^{6} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right)^{2} + 6 \, b^{2} c d^{5} x^{5} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right)^{2} + 15 \, b^{2} c^{2} d^{4} x^{4} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right)^{2} + 20 \, b^{2} c^{3} d^{3} x^{3} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right)^{2} + 15 \, b^{2} c^{4} d^{2} x^{2} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right)^{2} + 6 \, b^{2} c^{5} d x 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right)^{2} + b^{2} c^{6} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right)^{2} - 2 \, b d^{3} x^{3} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right) - 6 \, b c d^{2} x^{2} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right) - 6 \, b c^{2} d x 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right) - 2 \, b c^{3} 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)} \log\left(F\right) + 2 \, 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) + b c^{3} \log\left(F\right) + a \log\left(F\right)\right)}}{3 \, b^{3} d \log\left(F\right)^{3}}"," ",0,"1/3*(b^2*d^6*x^6*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*c^3*log(F) + a*log(F))*log(F)^2 + 6*b^2*c*d^5*x^5*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*c^3*log(F) + a*log(F))*log(F)^2 + 15*b^2*c^2*d^4*x^4*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*c^3*log(F) + a*log(F))*log(F)^2 + 20*b^2*c^3*d^3*x^3*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*c^3*log(F) + a*log(F))*log(F)^2 + 15*b^2*c^4*d^2*x^2*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*c^3*log(F) + a*log(F))*log(F)^2 + 6*b^2*c^5*d*x*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*c^3*log(F) + a*log(F))*log(F)^2 + b^2*c^6*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*c^3*log(F) + a*log(F))*log(F)^2 - 2*b*d^3*x^3*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*c^3*log(F) + a*log(F))*log(F) - 6*b*c*d^2*x^2*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*c^3*log(F) + a*log(F))*log(F) - 6*b*c^2*d*x*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*c^3*log(F) + a*log(F))*log(F) - 2*b*c^3*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*c^3*log(F) + a*log(F))*log(F) + 2*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*c^3*log(F) + a*log(F)))/(b^3*d*log(F)^3)","B",0
285,1,891,0,0.388870," ","integrate(F^(a+b*(d*x+c)^3)*(d*x+c)^5,x, algorithm=""giac"")","\frac{2 \, {\left(2 \, {\left(\frac{{\left({\left(d x + c\right)}^{3} b \log\left({\left| F \right|}\right) - 1\right)} {\left(\pi^{2} b^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{2} b^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} \log\left({\left| F \right|}\right)\right)}^{2}} + \frac{{\left(\pi {\left(d x + c\right)}^{3} b \mathrm{sgn}\left(F\right) - \pi {\left(d x + c\right)}^{3} b\right)} {\left(\pi b^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} \log\left({\left| F \right|}\right)\right)}}{{\left(\pi^{2} b^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} \log\left({\left| F \right|}\right)\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi b d^{3} x^{3} \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d^{3} x^{3} - \frac{3}{2} \, \pi b c d^{2} x^{2} \mathrm{sgn}\left(F\right) + \frac{3}{2} \, \pi b c d^{2} x^{2} - \frac{3}{2} \, \pi b c^{2} d x \mathrm{sgn}\left(F\right) + \frac{3}{2} \, \pi b c^{2} d x - \frac{1}{2} \, \pi b c^{3} \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c^{3} - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right) + {\left(\frac{{\left(\pi {\left(d x + c\right)}^{3} b \mathrm{sgn}\left(F\right) - \pi {\left(d x + c\right)}^{3} b\right)} {\left(\pi^{2} b^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| F \right|}\right)^{2}\right)}}{{\left(\pi^{2} b^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} \log\left({\left| F \right|}\right)\right)}^{2}} - \frac{4 \, {\left({\left(d x + c\right)}^{3} b \log\left({\left| F \right|}\right) - 1\right)} {\left(\pi b^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} \log\left({\left| F \right|}\right)\right)}}{{\left(\pi^{2} b^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - \pi b^{2} \log\left({\left| F \right|}\right)\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi b d^{3} x^{3} \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b d^{3} x^{3} - \frac{3}{2} \, \pi b c d^{2} x^{2} \mathrm{sgn}\left(F\right) + \frac{3}{2} \, \pi b c d^{2} x^{2} - \frac{3}{2} \, \pi b c^{2} d x \mathrm{sgn}\left(F\right) + \frac{3}{2} \, \pi b c^{2} d x - \frac{1}{2} \, \pi b c^{3} \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi b c^{3} - \frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a\right)\right)} e^{\left({\left(d x + c\right)}^{3} b \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right)\right)} - \frac{{\left(\frac{{\left(2 \, {\left(d x + c\right)}^{3} b i \log\left({\left| F \right|}\right) - \pi {\left(d x + c\right)}^{3} b \mathrm{sgn}\left(F\right) + \pi {\left(d x + c\right)}^{3} b - 2 \, i\right)} e^{\left(\frac{1}{2} \, {\left(\pi {\left(d x + c\right)}^{3} b {\left(\mathrm{sgn}\left(F\right) - 1\right)} + \pi a {\left(\mathrm{sgn}\left(F\right) - 1\right)}\right)} i\right)}}{2 \, \pi b^{2} i \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi b^{2} i \log\left({\left| F \right|}\right) + \pi^{2} b^{2} \mathrm{sgn}\left(F\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| F \right|}\right)^{2}} + \frac{{\left(2 \, {\left(d x + c\right)}^{3} b i \log\left({\left| F \right|}\right) + \pi {\left(d x + c\right)}^{3} b \mathrm{sgn}\left(F\right) - \pi {\left(d x + c\right)}^{3} b - 2 \, i\right)} e^{\left(-\frac{1}{2} \, {\left(\pi {\left(d x + c\right)}^{3} b {\left(\mathrm{sgn}\left(F\right) - 1\right)} + \pi a {\left(\mathrm{sgn}\left(F\right) - 1\right)}\right)} i\right)}}{2 \, \pi b^{2} i \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 2 \, \pi b^{2} i \log\left({\left| F \right|}\right) - \pi^{2} b^{2} \mathrm{sgn}\left(F\right) + \pi^{2} b^{2} - 2 \, b^{2} \log\left({\left| F \right|}\right)^{2}}\right)} e^{\left({\left(d x + c\right)}^{3} b \log\left({\left| F \right|}\right) + a \log\left({\left| F \right|}\right)\right)}}{i}}{6 \, d}"," ",0,"1/6*(2*(2*(((d*x + c)^3*b*log(abs(F)) - 1)*(pi^2*b^2*sgn(F) - pi^2*b^2 + 2*b^2*log(abs(F))^2)/((pi^2*b^2*sgn(F) - pi^2*b^2 + 2*b^2*log(abs(F))^2)^2 + 4*(pi*b^2*log(abs(F))*sgn(F) - pi*b^2*log(abs(F)))^2) + (pi*(d*x + c)^3*b*sgn(F) - pi*(d*x + c)^3*b)*(pi*b^2*log(abs(F))*sgn(F) - pi*b^2*log(abs(F)))/((pi^2*b^2*sgn(F) - pi^2*b^2 + 2*b^2*log(abs(F))^2)^2 + 4*(pi*b^2*log(abs(F))*sgn(F) - pi*b^2*log(abs(F)))^2))*cos(-1/2*pi*b*d^3*x^3*sgn(F) + 1/2*pi*b*d^3*x^3 - 3/2*pi*b*c*d^2*x^2*sgn(F) + 3/2*pi*b*c*d^2*x^2 - 3/2*pi*b*c^2*d*x*sgn(F) + 3/2*pi*b*c^2*d*x - 1/2*pi*b*c^3*sgn(F) + 1/2*pi*b*c^3 - 1/2*pi*a*sgn(F) + 1/2*pi*a) + ((pi*(d*x + c)^3*b*sgn(F) - pi*(d*x + c)^3*b)*(pi^2*b^2*sgn(F) - pi^2*b^2 + 2*b^2*log(abs(F))^2)/((pi^2*b^2*sgn(F) - pi^2*b^2 + 2*b^2*log(abs(F))^2)^2 + 4*(pi*b^2*log(abs(F))*sgn(F) - pi*b^2*log(abs(F)))^2) - 4*((d*x + c)^3*b*log(abs(F)) - 1)*(pi*b^2*log(abs(F))*sgn(F) - pi*b^2*log(abs(F)))/((pi^2*b^2*sgn(F) - pi^2*b^2 + 2*b^2*log(abs(F))^2)^2 + 4*(pi*b^2*log(abs(F))*sgn(F) - pi*b^2*log(abs(F)))^2))*sin(-1/2*pi*b*d^3*x^3*sgn(F) + 1/2*pi*b*d^3*x^3 - 3/2*pi*b*c*d^2*x^2*sgn(F) + 3/2*pi*b*c*d^2*x^2 - 3/2*pi*b*c^2*d*x*sgn(F) + 3/2*pi*b*c^2*d*x - 1/2*pi*b*c^3*sgn(F) + 1/2*pi*b*c^3 - 1/2*pi*a*sgn(F) + 1/2*pi*a))*e^((d*x + c)^3*b*log(abs(F)) + a*log(abs(F))) - ((2*(d*x + c)^3*b*i*log(abs(F)) - pi*(d*x + c)^3*b*sgn(F) + pi*(d*x + c)^3*b - 2*i)*e^(1/2*(pi*(d*x + c)^3*b*(sgn(F) - 1) + pi*a*(sgn(F) - 1))*i)/(2*pi*b^2*i*log(abs(F))*sgn(F) - 2*pi*b^2*i*log(abs(F)) + pi^2*b^2*sgn(F) - pi^2*b^2 + 2*b^2*log(abs(F))^2) + (2*(d*x + c)^3*b*i*log(abs(F)) + pi*(d*x + c)^3*b*sgn(F) - pi*(d*x + c)^3*b - 2*i)*e^(-1/2*(pi*(d*x + c)^3*b*(sgn(F) - 1) + pi*a*(sgn(F) - 1))*i)/(2*pi*b^2*i*log(abs(F))*sgn(F) - 2*pi*b^2*i*log(abs(F)) - pi^2*b^2*sgn(F) + pi^2*b^2 - 2*b^2*log(abs(F))^2))*e^((d*x + c)^3*b*log(abs(F)) + a*log(abs(F)))/i)/d","B",0
286,1,47,0,0.234959," ","integrate(F^(a+b*(d*x+c)^3)*(d*x+c)^2,x, algorithm=""giac"")","\frac{F^{b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a}}{3 \, b d \log\left(F\right)}"," ",0,"1/3*F^(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a)/(b*d*log(F))","A",0
287,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^3)/(d*x+c),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
297,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^3)/(d*x+c)^3,x, algorithm=""giac"")","\int \frac{F^{{\left(d x + c\right)}^{3} b + a}}{{\left(d x + c\right)}^{3}}\,{d x}"," ",0,"integrate(F^((d*x + c)^3*b + a)/(d*x + c)^3, x)","F",0
298,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^3)/(d*x+c)^5,x, algorithm=""giac"")","\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
299,1,774,0,0.399268," ","integrate(f^(a+b*(d*x+c)^(1/2)),x, algorithm=""giac"")","\frac{2 \, {\left(2 \, {\left(\frac{{\left(\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi b^{2} \log\left({\left| f \right|}\right)\right)} {\left(\pi \sqrt{d x + c} b \mathrm{sgn}\left(f\right) - \pi \sqrt{d x + c} b\right)}}{{\left(\pi^{2} b^{2} \mathrm{sgn}\left(f\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| f \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi b^{2} \log\left({\left| f \right|}\right)\right)}^{2}} + \frac{{\left(\pi^{2} b^{2} \mathrm{sgn}\left(f\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| f \right|}\right)^{2}\right)} {\left(\sqrt{d x + c} b \log\left({\left| f \right|}\right) - 1\right)}}{{\left(\pi^{2} b^{2} \mathrm{sgn}\left(f\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| f \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi b^{2} \log\left({\left| f \right|}\right)\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi \sqrt{d x + c} b \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi \sqrt{d x + c} b + \frac{1}{2} \, \pi a\right) + {\left(\frac{{\left(\pi^{2} b^{2} \mathrm{sgn}\left(f\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| f \right|}\right)^{2}\right)} {\left(\pi \sqrt{d x + c} b \mathrm{sgn}\left(f\right) - \pi \sqrt{d x + c} b\right)}}{{\left(\pi^{2} b^{2} \mathrm{sgn}\left(f\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| f \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi b^{2} \log\left({\left| f \right|}\right)\right)}^{2}} - \frac{4 \, {\left(\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi b^{2} \log\left({\left| f \right|}\right)\right)} {\left(\sqrt{d x + c} b \log\left({\left| f \right|}\right) - 1\right)}}{{\left(\pi^{2} b^{2} \mathrm{sgn}\left(f\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| f \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi b^{2} \log\left({\left| f \right|}\right)\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi \sqrt{d x + c} b \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi \sqrt{d x + c} b + \frac{1}{2} \, \pi a\right)\right)} e^{\left(\sqrt{d x + c} b \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)} - \frac{{\left(\frac{{\left(2 \, \sqrt{d x + c} b i \log\left({\left| f \right|}\right) - \pi \sqrt{d x + c} b \mathrm{sgn}\left(f\right) + \pi \sqrt{d x + c} b - 2 \, i\right)} e^{\left(\frac{1}{2} \, {\left(\pi \sqrt{d x + c} b {\left(\mathrm{sgn}\left(f\right) - 1\right)} + \pi a {\left(\mathrm{sgn}\left(f\right) - 1\right)}\right)} i\right)}}{2 \, \pi b^{2} i \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 2 \, \pi b^{2} i \log\left({\left| f \right|}\right) + \pi^{2} b^{2} \mathrm{sgn}\left(f\right) - \pi^{2} b^{2} + 2 \, b^{2} \log\left({\left| f \right|}\right)^{2}} + \frac{{\left(2 \, \sqrt{d x + c} b i \log\left({\left| f \right|}\right) + \pi \sqrt{d x + c} b \mathrm{sgn}\left(f\right) - \pi \sqrt{d x + c} b - 2 \, i\right)} e^{\left(-\frac{1}{2} \, {\left(\pi \sqrt{d x + c} b {\left(\mathrm{sgn}\left(f\right) - 1\right)} + \pi a {\left(\mathrm{sgn}\left(f\right) - 1\right)}\right)} i\right)}}{2 \, \pi b^{2} i \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 2 \, \pi b^{2} i \log\left({\left| f \right|}\right) - \pi^{2} b^{2} \mathrm{sgn}\left(f\right) + \pi^{2} b^{2} - 2 \, b^{2} \log\left({\left| f \right|}\right)^{2}}\right)} e^{\left(\sqrt{d x + c} b \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)}}{i}}{d}"," ",0,"(2*(2*((pi*b^2*log(abs(f))*sgn(f) - pi*b^2*log(abs(f)))*(pi*sqrt(d*x + c)*b*sgn(f) - pi*sqrt(d*x + c)*b)/((pi^2*b^2*sgn(f) - pi^2*b^2 + 2*b^2*log(abs(f))^2)^2 + 4*(pi*b^2*log(abs(f))*sgn(f) - pi*b^2*log(abs(f)))^2) + (pi^2*b^2*sgn(f) - pi^2*b^2 + 2*b^2*log(abs(f))^2)*(sqrt(d*x + c)*b*log(abs(f)) - 1)/((pi^2*b^2*sgn(f) - pi^2*b^2 + 2*b^2*log(abs(f))^2)^2 + 4*(pi*b^2*log(abs(f))*sgn(f) - pi*b^2*log(abs(f)))^2))*cos(-1/2*pi*sqrt(d*x + c)*b*sgn(f) - 1/2*pi*a*sgn(f) + 1/2*pi*sqrt(d*x + c)*b + 1/2*pi*a) + ((pi^2*b^2*sgn(f) - pi^2*b^2 + 2*b^2*log(abs(f))^2)*(pi*sqrt(d*x + c)*b*sgn(f) - pi*sqrt(d*x + c)*b)/((pi^2*b^2*sgn(f) - pi^2*b^2 + 2*b^2*log(abs(f))^2)^2 + 4*(pi*b^2*log(abs(f))*sgn(f) - pi*b^2*log(abs(f)))^2) - 4*(pi*b^2*log(abs(f))*sgn(f) - pi*b^2*log(abs(f)))*(sqrt(d*x + c)*b*log(abs(f)) - 1)/((pi^2*b^2*sgn(f) - pi^2*b^2 + 2*b^2*log(abs(f))^2)^2 + 4*(pi*b^2*log(abs(f))*sgn(f) - pi*b^2*log(abs(f)))^2))*sin(-1/2*pi*sqrt(d*x + c)*b*sgn(f) - 1/2*pi*a*sgn(f) + 1/2*pi*sqrt(d*x + c)*b + 1/2*pi*a))*e^(sqrt(d*x + c)*b*log(abs(f)) + a*log(abs(f))) - ((2*sqrt(d*x + c)*b*i*log(abs(f)) - pi*sqrt(d*x + c)*b*sgn(f) + pi*sqrt(d*x + c)*b - 2*i)*e^(1/2*(pi*sqrt(d*x + c)*b*(sgn(f) - 1) + pi*a*(sgn(f) - 1))*i)/(2*pi*b^2*i*log(abs(f))*sgn(f) - 2*pi*b^2*i*log(abs(f)) + pi^2*b^2*sgn(f) - pi^2*b^2 + 2*b^2*log(abs(f))^2) + (2*sqrt(d*x + c)*b*i*log(abs(f)) + pi*sqrt(d*x + c)*b*sgn(f) - pi*sqrt(d*x + c)*b - 2*i)*e^(-1/2*(pi*sqrt(d*x + c)*b*(sgn(f) - 1) + pi*a*(sgn(f) - 1))*i)/(2*pi*b^2*i*log(abs(f))*sgn(f) - 2*pi*b^2*i*log(abs(f)) - pi^2*b^2*sgn(f) + pi^2*b^2 - 2*b^2*log(abs(f))^2))*e^(sqrt(d*x + c)*b*log(abs(f)) + a*log(abs(f)))/i)/d","B",0
300,1,1336,0,0.492983," ","integrate(f^(a+b*(d*x+c)^(1/3)),x, algorithm=""giac"")","\frac{3 \, {\left(2 \, {\left({\left(\frac{{\left(3 \, \pi^{2} b^{3} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 3 \, \pi^{2} b^{3} \log\left({\left| f \right|}\right) + 2 \, b^{3} \log\left({\left| f \right|}\right)^{3}\right)} {\left(\pi^{2} {\left(d x + c\right)}^{\frac{2}{3}} b^{2} \mathrm{sgn}\left(f\right) - \pi^{2} {\left(d x + c\right)}^{\frac{2}{3}} b^{2} + 2 \, {\left(d x + c\right)}^{\frac{2}{3}} b^{2} \log\left({\left| f \right|}\right)^{2} - 4 \, {\left(d x + c\right)}^{\frac{1}{3}} b \log\left({\left| f \right|}\right) + 4\right)}}{{\left(\pi^{3} b^{3} \mathrm{sgn}\left(f\right) - 3 \, \pi b^{3} \log\left({\left| f \right|}\right)^{2} \mathrm{sgn}\left(f\right) - \pi^{3} b^{3} + 3 \, \pi b^{3} \log\left({\left| f \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 3 \, \pi^{2} b^{3} \log\left({\left| f \right|}\right) + 2 \, b^{3} \log\left({\left| f \right|}\right)^{3}\right)}^{2}} - \frac{2 \, {\left(\pi^{3} b^{3} \mathrm{sgn}\left(f\right) - 3 \, \pi b^{3} \log\left({\left| f \right|}\right)^{2} \mathrm{sgn}\left(f\right) - \pi^{3} b^{3} + 3 \, \pi b^{3} \log\left({\left| f \right|}\right)^{2}\right)} {\left(\pi {\left(d x + c\right)}^{\frac{2}{3}} b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi {\left(d x + c\right)}^{\frac{2}{3}} b^{2} \log\left({\left| f \right|}\right) - \pi {\left(d x + c\right)}^{\frac{1}{3}} b \mathrm{sgn}\left(f\right) + \pi {\left(d x + c\right)}^{\frac{1}{3}} b\right)}}{{\left(\pi^{3} b^{3} \mathrm{sgn}\left(f\right) - 3 \, \pi b^{3} \log\left({\left| f \right|}\right)^{2} \mathrm{sgn}\left(f\right) - \pi^{3} b^{3} + 3 \, \pi b^{3} \log\left({\left| f \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 3 \, \pi^{2} b^{3} \log\left({\left| f \right|}\right) + 2 \, b^{3} \log\left({\left| f \right|}\right)^{3}\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi {\left(d x + c\right)}^{\frac{1}{3}} b \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi {\left(d x + c\right)}^{\frac{1}{3}} b + \frac{1}{2} \, \pi a\right) + {\left(\frac{{\left(\pi^{3} b^{3} \mathrm{sgn}\left(f\right) - 3 \, \pi b^{3} \log\left({\left| f \right|}\right)^{2} \mathrm{sgn}\left(f\right) - \pi^{3} b^{3} + 3 \, \pi b^{3} \log\left({\left| f \right|}\right)^{2}\right)} {\left(\pi^{2} {\left(d x + c\right)}^{\frac{2}{3}} b^{2} \mathrm{sgn}\left(f\right) - \pi^{2} {\left(d x + c\right)}^{\frac{2}{3}} b^{2} + 2 \, {\left(d x + c\right)}^{\frac{2}{3}} b^{2} \log\left({\left| f \right|}\right)^{2} - 4 \, {\left(d x + c\right)}^{\frac{1}{3}} b \log\left({\left| f \right|}\right) + 4\right)}}{{\left(\pi^{3} b^{3} \mathrm{sgn}\left(f\right) - 3 \, \pi b^{3} \log\left({\left| f \right|}\right)^{2} \mathrm{sgn}\left(f\right) - \pi^{3} b^{3} + 3 \, \pi b^{3} \log\left({\left| f \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 3 \, \pi^{2} b^{3} \log\left({\left| f \right|}\right) + 2 \, b^{3} \log\left({\left| f \right|}\right)^{3}\right)}^{2}} + \frac{2 \, {\left(3 \, \pi^{2} b^{3} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 3 \, \pi^{2} b^{3} \log\left({\left| f \right|}\right) + 2 \, b^{3} \log\left({\left| f \right|}\right)^{3}\right)} {\left(\pi {\left(d x + c\right)}^{\frac{2}{3}} b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi {\left(d x + c\right)}^{\frac{2}{3}} b^{2} \log\left({\left| f \right|}\right) - \pi {\left(d x + c\right)}^{\frac{1}{3}} b \mathrm{sgn}\left(f\right) + \pi {\left(d x + c\right)}^{\frac{1}{3}} b\right)}}{{\left(\pi^{3} b^{3} \mathrm{sgn}\left(f\right) - 3 \, \pi b^{3} \log\left({\left| f \right|}\right)^{2} \mathrm{sgn}\left(f\right) - \pi^{3} b^{3} + 3 \, \pi b^{3} \log\left({\left| f \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 3 \, \pi^{2} b^{3} \log\left({\left| f \right|}\right) + 2 \, b^{3} \log\left({\left| f \right|}\right)^{3}\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi {\left(d x + c\right)}^{\frac{1}{3}} b \mathrm{sgn}\left(f\right) - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi {\left(d x + c\right)}^{\frac{1}{3}} b + \frac{1}{2} \, \pi a\right)\right)} e^{\left({\left(d x + c\right)}^{\frac{1}{3}} b \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)} + \frac{{\left(\frac{{\left(\pi^{2} {\left(d x + c\right)}^{\frac{2}{3}} b^{2} i \mathrm{sgn}\left(f\right) - \pi^{2} {\left(d x + c\right)}^{\frac{2}{3}} b^{2} i + 2 \, {\left(d x + c\right)}^{\frac{2}{3}} b^{2} i \log\left({\left| f \right|}\right)^{2} - 2 \, \pi {\left(d x + c\right)}^{\frac{2}{3}} b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) + 2 \, \pi {\left(d x + c\right)}^{\frac{2}{3}} b^{2} \log\left({\left| f \right|}\right) - 4 \, {\left(d x + c\right)}^{\frac{1}{3}} b i \log\left({\left| f \right|}\right) + 2 \, \pi {\left(d x + c\right)}^{\frac{1}{3}} b \mathrm{sgn}\left(f\right) - 2 \, \pi {\left(d x + c\right)}^{\frac{1}{3}} b + 4 \, i\right)} e^{\left(\frac{1}{2} \, {\left(\pi {\left(d x + c\right)}^{\frac{1}{3}} b {\left(\mathrm{sgn}\left(f\right) - 1\right)} + \pi a {\left(\mathrm{sgn}\left(f\right) - 1\right)}\right)} i\right)}}{\pi^{3} b^{3} i \mathrm{sgn}\left(f\right) - 3 \, \pi b^{3} i \log\left({\left| f \right|}\right)^{2} \mathrm{sgn}\left(f\right) - \pi^{3} b^{3} i + 3 \, \pi b^{3} i \log\left({\left| f \right|}\right)^{2} - 3 \, \pi^{2} b^{3} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) + 3 \, \pi^{2} b^{3} \log\left({\left| f \right|}\right) - 2 \, b^{3} \log\left({\left| f \right|}\right)^{3}} + \frac{{\left(\pi^{2} {\left(d x + c\right)}^{\frac{2}{3}} b^{2} i \mathrm{sgn}\left(f\right) - \pi^{2} {\left(d x + c\right)}^{\frac{2}{3}} b^{2} i + 2 \, {\left(d x + c\right)}^{\frac{2}{3}} b^{2} i \log\left({\left| f \right|}\right)^{2} + 2 \, \pi {\left(d x + c\right)}^{\frac{2}{3}} b^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 2 \, \pi {\left(d x + c\right)}^{\frac{2}{3}} b^{2} \log\left({\left| f \right|}\right) - 4 \, {\left(d x + c\right)}^{\frac{1}{3}} b i \log\left({\left| f \right|}\right) - 2 \, \pi {\left(d x + c\right)}^{\frac{1}{3}} b \mathrm{sgn}\left(f\right) + 2 \, \pi {\left(d x + c\right)}^{\frac{1}{3}} b + 4 \, i\right)} e^{\left(-\frac{1}{2} \, {\left(\pi {\left(d x + c\right)}^{\frac{1}{3}} b {\left(\mathrm{sgn}\left(f\right) - 1\right)} + \pi a {\left(\mathrm{sgn}\left(f\right) - 1\right)}\right)} i\right)}}{\pi^{3} b^{3} i \mathrm{sgn}\left(f\right) - 3 \, \pi b^{3} i \log\left({\left| f \right|}\right)^{2} \mathrm{sgn}\left(f\right) - \pi^{3} b^{3} i + 3 \, \pi b^{3} i \log\left({\left| f \right|}\right)^{2} + 3 \, \pi^{2} b^{3} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 3 \, \pi^{2} b^{3} \log\left({\left| f \right|}\right) + 2 \, b^{3} \log\left({\left| f \right|}\right)^{3}}\right)} e^{\left({\left(d x + c\right)}^{\frac{1}{3}} b \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)}}{i}\right)}}{2 \, d}"," ",0,"3/2*(2*(((3*pi^2*b^3*log(abs(f))*sgn(f) - 3*pi^2*b^3*log(abs(f)) + 2*b^3*log(abs(f))^3)*(pi^2*(d*x + c)^(2/3)*b^2*sgn(f) - pi^2*(d*x + c)^(2/3)*b^2 + 2*(d*x + c)^(2/3)*b^2*log(abs(f))^2 - 4*(d*x + c)^(1/3)*b*log(abs(f)) + 4)/((pi^3*b^3*sgn(f) - 3*pi*b^3*log(abs(f))^2*sgn(f) - pi^3*b^3 + 3*pi*b^3*log(abs(f))^2)^2 + (3*pi^2*b^3*log(abs(f))*sgn(f) - 3*pi^2*b^3*log(abs(f)) + 2*b^3*log(abs(f))^3)^2) - 2*(pi^3*b^3*sgn(f) - 3*pi*b^3*log(abs(f))^2*sgn(f) - pi^3*b^3 + 3*pi*b^3*log(abs(f))^2)*(pi*(d*x + c)^(2/3)*b^2*log(abs(f))*sgn(f) - pi*(d*x + c)^(2/3)*b^2*log(abs(f)) - pi*(d*x + c)^(1/3)*b*sgn(f) + pi*(d*x + c)^(1/3)*b)/((pi^3*b^3*sgn(f) - 3*pi*b^3*log(abs(f))^2*sgn(f) - pi^3*b^3 + 3*pi*b^3*log(abs(f))^2)^2 + (3*pi^2*b^3*log(abs(f))*sgn(f) - 3*pi^2*b^3*log(abs(f)) + 2*b^3*log(abs(f))^3)^2))*cos(-1/2*pi*(d*x + c)^(1/3)*b*sgn(f) - 1/2*pi*a*sgn(f) + 1/2*pi*(d*x + c)^(1/3)*b + 1/2*pi*a) + ((pi^3*b^3*sgn(f) - 3*pi*b^3*log(abs(f))^2*sgn(f) - pi^3*b^3 + 3*pi*b^3*log(abs(f))^2)*(pi^2*(d*x + c)^(2/3)*b^2*sgn(f) - pi^2*(d*x + c)^(2/3)*b^2 + 2*(d*x + c)^(2/3)*b^2*log(abs(f))^2 - 4*(d*x + c)^(1/3)*b*log(abs(f)) + 4)/((pi^3*b^3*sgn(f) - 3*pi*b^3*log(abs(f))^2*sgn(f) - pi^3*b^3 + 3*pi*b^3*log(abs(f))^2)^2 + (3*pi^2*b^3*log(abs(f))*sgn(f) - 3*pi^2*b^3*log(abs(f)) + 2*b^3*log(abs(f))^3)^2) + 2*(3*pi^2*b^3*log(abs(f))*sgn(f) - 3*pi^2*b^3*log(abs(f)) + 2*b^3*log(abs(f))^3)*(pi*(d*x + c)^(2/3)*b^2*log(abs(f))*sgn(f) - pi*(d*x + c)^(2/3)*b^2*log(abs(f)) - pi*(d*x + c)^(1/3)*b*sgn(f) + pi*(d*x + c)^(1/3)*b)/((pi^3*b^3*sgn(f) - 3*pi*b^3*log(abs(f))^2*sgn(f) - pi^3*b^3 + 3*pi*b^3*log(abs(f))^2)^2 + (3*pi^2*b^3*log(abs(f))*sgn(f) - 3*pi^2*b^3*log(abs(f)) + 2*b^3*log(abs(f))^3)^2))*sin(-1/2*pi*(d*x + c)^(1/3)*b*sgn(f) - 1/2*pi*a*sgn(f) + 1/2*pi*(d*x + c)^(1/3)*b + 1/2*pi*a))*e^((d*x + c)^(1/3)*b*log(abs(f)) + a*log(abs(f))) + ((pi^2*(d*x + c)^(2/3)*b^2*i*sgn(f) - pi^2*(d*x + c)^(2/3)*b^2*i + 2*(d*x + c)^(2/3)*b^2*i*log(abs(f))^2 - 2*pi*(d*x + c)^(2/3)*b^2*log(abs(f))*sgn(f) + 2*pi*(d*x + c)^(2/3)*b^2*log(abs(f)) - 4*(d*x + c)^(1/3)*b*i*log(abs(f)) + 2*pi*(d*x + c)^(1/3)*b*sgn(f) - 2*pi*(d*x + c)^(1/3)*b + 4*i)*e^(1/2*(pi*(d*x + c)^(1/3)*b*(sgn(f) - 1) + pi*a*(sgn(f) - 1))*i)/(pi^3*b^3*i*sgn(f) - 3*pi*b^3*i*log(abs(f))^2*sgn(f) - pi^3*b^3*i + 3*pi*b^3*i*log(abs(f))^2 - 3*pi^2*b^3*log(abs(f))*sgn(f) + 3*pi^2*b^3*log(abs(f)) - 2*b^3*log(abs(f))^3) + (pi^2*(d*x + c)^(2/3)*b^2*i*sgn(f) - pi^2*(d*x + c)^(2/3)*b^2*i + 2*(d*x + c)^(2/3)*b^2*i*log(abs(f))^2 + 2*pi*(d*x + c)^(2/3)*b^2*log(abs(f))*sgn(f) - 2*pi*(d*x + c)^(2/3)*b^2*log(abs(f)) - 4*(d*x + c)^(1/3)*b*i*log(abs(f)) - 2*pi*(d*x + c)^(1/3)*b*sgn(f) + 2*pi*(d*x + c)^(1/3)*b + 4*i)*e^(-1/2*(pi*(d*x + c)^(1/3)*b*(sgn(f) - 1) + pi*a*(sgn(f) - 1))*i)/(pi^3*b^3*i*sgn(f) - 3*pi*b^3*i*log(abs(f))^2*sgn(f) - pi^3*b^3*i + 3*pi*b^3*i*log(abs(f))^2 + 3*pi^2*b^3*log(abs(f))*sgn(f) - 3*pi^2*b^3*log(abs(f)) + 2*b^3*log(abs(f))^3))*e^((d*x + c)^(1/3)*b*log(abs(f)) + a*log(abs(f)))/i)/d","B",0
301,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c))*(d*x+c)^m,x, algorithm=""giac"")","\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=""giac"")","\int {\left(d x + c\right)}^{4} F^{a + \frac{b}{d x + c}}\,{d x}"," ",0,"integrate((d*x + c)^4*F^(a + b/(d*x + c)), x)","F",0
303,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c))*(d*x+c)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} F^{a + \frac{b}{d x + c}}\,{d x}"," ",0,"integrate((d*x + c)^3*F^(a + b/(d*x + c)), x)","F",0
304,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c))*(d*x+c)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} F^{a + \frac{b}{d x + c}}\,{d x}"," ",0,"integrate((d*x + c)^2*F^(a + b/(d*x + c)), x)","F",0
305,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c))*(d*x+c),x, algorithm=""giac"")","\int {\left(d x + c\right)} F^{a + \frac{b}{d x + c}}\,{d x}"," ",0,"integrate((d*x + c)*F^(a + b/(d*x + c)), x)","F",0
306,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)),x, algorithm=""giac"")","\int F^{a + \frac{b}{d x + c}}\,{d x}"," ",0,"integrate(F^(a + 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=""giac"")","\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
308,1,31,0,0.247584," ","integrate(F^(a+b/(d*x+c))/(d*x+c)^2,x, algorithm=""giac"")","-\frac{F^{\frac{a d x + a c + b}{d x + c}}}{b d \log\left(F\right)}"," ",0,"-F^((a*d*x + a*c + b)/(d*x + c))/(b*d*log(F))","A",0
309,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c))/(d*x+c)^3,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\int {\left(d x + c\right)}^{9} F^{a + \frac{b}{{\left(d x + c\right)}^{2}}}\,{d x}"," ",0,"integrate((d*x + c)^9*F^(a + b/(d*x + c)^2), x)","F",0
316,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^7,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{7} F^{a + \frac{b}{{\left(d x + c\right)}^{2}}}\,{d x}"," ",0,"integrate((d*x + c)^7*F^(a + b/(d*x + c)^2), x)","F",0
317,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^5,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{5} F^{a + \frac{b}{{\left(d x + c\right)}^{2}}}\,{d x}"," ",0,"integrate((d*x + c)^5*F^(a + b/(d*x + c)^2), x)","F",0
318,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} F^{a + \frac{b}{{\left(d x + c\right)}^{2}}}\,{d x}"," ",0,"integrate((d*x + c)^3*F^(a + b/(d*x + c)^2), x)","F",0
319,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c),x, algorithm=""giac"")","\int {\left(d x + c\right)} F^{a + \frac{b}{{\left(d x + c\right)}^{2}}}\,{d x}"," ",0,"integrate((d*x + c)*F^(a + b/(d*x + c)^2), x)","F",0
320,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c),x, algorithm=""giac"")","\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
321,1,54,0,0.260838," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^3,x, algorithm=""giac"")","-\frac{F^{\frac{a d^{2} x^{2} + 2 \, a c d x + a c^{2} + b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{2 \, b d \log\left(F\right)}"," ",0,"-1/2*F^((a*d^2*x^2 + 2*a*c*d*x + a*c^2 + b)/(d^2*x^2 + 2*c*d*x + c^2))/(b*d*log(F))","B",0
322,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^5,x, algorithm=""giac"")","\int \frac{F^{a + \frac{b}{{\left(d x + c\right)}^{2}}}}{{\left(d x + c\right)}^{5}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c)^2)/(d*x + c)^5, x)","F",0
323,1,1656,0,0.558418," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^7,x, algorithm=""giac"")","-\frac{1}{2} \, {\left({\left(\frac{2 \, {\left(\pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} + 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2}\right)} {\left(\frac{\pi b d^{2} \mathrm{sgn}\left(F\right)}{{\left(d x + c\right)}^{2}} - \frac{\pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right)}{{\left(d x + c\right)}^{4}} - \frac{\pi b d^{2}}{{\left(d x + c\right)}^{2}} + \frac{\pi b^{2} d^{2} \log\left({\left| F \right|}\right)}{{\left(d x + c\right)}^{4}}\right)}}{{\left(\pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} + 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} + \frac{{\left(3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}\right)} {\left(\frac{\pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right)}{{\left(d x + c\right)}^{4}} - \frac{\pi^{2} b^{2} d^{2}}{{\left(d x + c\right)}^{4}} + 4 \, d^{2} - \frac{4 \, b d^{2} \log\left({\left| F \right|}\right)}{{\left(d x + c\right)}^{2}} + \frac{2 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}}{{\left(d x + c\right)}^{4}}\right)}}{{\left(\pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} + 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a - \frac{\pi b \mathrm{sgn}\left(F\right)}{2 \, {\left(d^{2} x^{2} + 2 \, c d x + c^{2}\right)}} + \frac{\pi b}{2 \, {\left(d^{2} x^{2} + 2 \, c d x + c^{2}\right)}}\right) - {\left(\frac{2 \, {\left(3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}\right)} {\left(\frac{\pi b d^{2} \mathrm{sgn}\left(F\right)}{{\left(d x + c\right)}^{2}} - \frac{\pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right)}{{\left(d x + c\right)}^{4}} - \frac{\pi b d^{2}}{{\left(d x + c\right)}^{2}} + \frac{\pi b^{2} d^{2} \log\left({\left| F \right|}\right)}{{\left(d x + c\right)}^{4}}\right)}}{{\left(\pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} + 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}} - \frac{{\left(\pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} + 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2}\right)} {\left(\frac{\pi^{2} b^{2} d^{2} \mathrm{sgn}\left(F\right)}{{\left(d x + c\right)}^{4}} - \frac{\pi^{2} b^{2} d^{2}}{{\left(d x + c\right)}^{4}} + 4 \, d^{2} - \frac{4 \, b d^{2} \log\left({\left| F \right|}\right)}{{\left(d x + c\right)}^{2}} + \frac{2 \, b^{2} d^{2} \log\left({\left| F \right|}\right)^{2}}{{\left(d x + c\right)}^{4}}\right)}}{{\left(\pi^{3} b^{3} d^{3} \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} + 3 \, \pi b^{3} d^{3} \log\left({\left| F \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi a \mathrm{sgn}\left(F\right) + \frac{1}{2} \, \pi a - \frac{\pi b \mathrm{sgn}\left(F\right)}{2 \, {\left(d^{2} x^{2} + 2 \, c d x + c^{2}\right)}} + \frac{\pi b}{2 \, {\left(d^{2} x^{2} + 2 \, c d x + c^{2}\right)}}\right)\right)} e^{\left(a \log\left({\left| F \right|}\right) + \frac{b \log\left({\left| F \right|}\right)}{{\left(d x + c\right)}^{2}}\right)} - \frac{{\left(\frac{{\left(\frac{\pi^{2} b^{2} d^{2} i \mathrm{sgn}\left(F\right)}{{\left(d x + c\right)}^{4}} - \frac{\pi^{2} b^{2} d^{2} i}{{\left(d x + c\right)}^{4}} + 4 \, d^{2} i - \frac{4 \, b d^{2} i \log\left({\left| F \right|}\right)}{{\left(d x + c\right)}^{2}} + \frac{2 \, b^{2} d^{2} i \log\left({\left| F \right|}\right)^{2}}{{\left(d x + c\right)}^{4}} + \frac{2 \, \pi b d^{2} \mathrm{sgn}\left(F\right)}{{\left(d x + c\right)}^{2}} - \frac{2 \, \pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right)}{{\left(d x + c\right)}^{4}} - \frac{2 \, \pi b d^{2}}{{\left(d x + c\right)}^{2}} + \frac{2 \, \pi b^{2} d^{2} \log\left({\left| F \right|}\right)}{{\left(d x + c\right)}^{4}}\right)} e^{\left(\frac{1}{2} \, {\left(\pi a {\left(\mathrm{sgn}\left(F\right) - 1\right)} + \frac{\pi b {\left(\mathrm{sgn}\left(F\right) - 1\right)}}{{\left(d x + c\right)}^{2}}\right)} i\right)}}{\pi^{3} b^{3} d^{3} i \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} i \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} i + 3 \, \pi b^{3} d^{3} i \log\left({\left| F \right|}\right)^{2} - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) + 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) - 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}} + \frac{{\left(\frac{\pi^{2} b^{2} d^{2} i \mathrm{sgn}\left(F\right)}{{\left(d x + c\right)}^{4}} - \frac{\pi^{2} b^{2} d^{2} i}{{\left(d x + c\right)}^{4}} + 4 \, d^{2} i - \frac{4 \, b d^{2} i \log\left({\left| F \right|}\right)}{{\left(d x + c\right)}^{2}} + \frac{2 \, b^{2} d^{2} i \log\left({\left| F \right|}\right)^{2}}{{\left(d x + c\right)}^{4}} - \frac{2 \, \pi b d^{2} \mathrm{sgn}\left(F\right)}{{\left(d x + c\right)}^{2}} + \frac{2 \, \pi b^{2} d^{2} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right)}{{\left(d x + c\right)}^{4}} + \frac{2 \, \pi b d^{2}}{{\left(d x + c\right)}^{2}} - \frac{2 \, \pi b^{2} d^{2} \log\left({\left| F \right|}\right)}{{\left(d x + c\right)}^{4}}\right)} e^{\left(-\frac{1}{2} \, {\left(\pi a {\left(\mathrm{sgn}\left(F\right) - 1\right)} + \frac{\pi b {\left(\mathrm{sgn}\left(F\right) - 1\right)}}{{\left(d x + c\right)}^{2}}\right)} i\right)}}{\pi^{3} b^{3} d^{3} i \mathrm{sgn}\left(F\right) - 3 \, \pi b^{3} d^{3} i \log\left({\left| F \right|}\right)^{2} \mathrm{sgn}\left(F\right) - \pi^{3} b^{3} d^{3} i + 3 \, \pi b^{3} d^{3} i \log\left({\left| F \right|}\right)^{2} + 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) \mathrm{sgn}\left(F\right) - 3 \, \pi^{2} b^{3} d^{3} \log\left({\left| F \right|}\right) + 2 \, b^{3} d^{3} \log\left({\left| F \right|}\right)^{3}}\right)} e^{\left(a \log\left({\left| F \right|}\right) + \frac{b \log\left({\left| F \right|}\right)}{{\left(d x + c\right)}^{2}}\right)}}{4 \, i}"," ",0,"-1/2*((2*(pi^3*b^3*d^3*sgn(F) - 3*pi*b^3*d^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3 + 3*pi*b^3*d^3*log(abs(F))^2)*(pi*b*d^2*sgn(F)/(d*x + c)^2 - pi*b^2*d^2*log(abs(F))*sgn(F)/(d*x + c)^4 - pi*b*d^2/(d*x + c)^2 + pi*b^2*d^2*log(abs(F))/(d*x + c)^4)/((pi^3*b^3*d^3*sgn(F) - 3*pi*b^3*d^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3 + 3*pi*b^3*d^3*log(abs(F))^2)^2 + (3*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*log(abs(F)) + 2*b^3*d^3*log(abs(F))^3)^2) + (3*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*log(abs(F)) + 2*b^3*d^3*log(abs(F))^3)*(pi^2*b^2*d^2*sgn(F)/(d*x + c)^4 - pi^2*b^2*d^2/(d*x + c)^4 + 4*d^2 - 4*b*d^2*log(abs(F))/(d*x + c)^2 + 2*b^2*d^2*log(abs(F))^2/(d*x + c)^4)/((pi^3*b^3*d^3*sgn(F) - 3*pi*b^3*d^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3 + 3*pi*b^3*d^3*log(abs(F))^2)^2 + (3*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*log(abs(F)) + 2*b^3*d^3*log(abs(F))^3)^2))*cos(-1/2*pi*a*sgn(F) + 1/2*pi*a - 1/2*pi*b*sgn(F)/(d^2*x^2 + 2*c*d*x + c^2) + 1/2*pi*b/(d^2*x^2 + 2*c*d*x + c^2)) - (2*(3*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*log(abs(F)) + 2*b^3*d^3*log(abs(F))^3)*(pi*b*d^2*sgn(F)/(d*x + c)^2 - pi*b^2*d^2*log(abs(F))*sgn(F)/(d*x + c)^4 - pi*b*d^2/(d*x + c)^2 + pi*b^2*d^2*log(abs(F))/(d*x + c)^4)/((pi^3*b^3*d^3*sgn(F) - 3*pi*b^3*d^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3 + 3*pi*b^3*d^3*log(abs(F))^2)^2 + (3*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*log(abs(F)) + 2*b^3*d^3*log(abs(F))^3)^2) - (pi^3*b^3*d^3*sgn(F) - 3*pi*b^3*d^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3 + 3*pi*b^3*d^3*log(abs(F))^2)*(pi^2*b^2*d^2*sgn(F)/(d*x + c)^4 - pi^2*b^2*d^2/(d*x + c)^4 + 4*d^2 - 4*b*d^2*log(abs(F))/(d*x + c)^2 + 2*b^2*d^2*log(abs(F))^2/(d*x + c)^4)/((pi^3*b^3*d^3*sgn(F) - 3*pi*b^3*d^3*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3 + 3*pi*b^3*d^3*log(abs(F))^2)^2 + (3*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*log(abs(F)) + 2*b^3*d^3*log(abs(F))^3)^2))*sin(-1/2*pi*a*sgn(F) + 1/2*pi*a - 1/2*pi*b*sgn(F)/(d^2*x^2 + 2*c*d*x + c^2) + 1/2*pi*b/(d^2*x^2 + 2*c*d*x + c^2)))*e^(a*log(abs(F)) + b*log(abs(F))/(d*x + c)^2) - 1/4*((pi^2*b^2*d^2*i*sgn(F)/(d*x + c)^4 - pi^2*b^2*d^2*i/(d*x + c)^4 + 4*d^2*i - 4*b*d^2*i*log(abs(F))/(d*x + c)^2 + 2*b^2*d^2*i*log(abs(F))^2/(d*x + c)^4 + 2*pi*b*d^2*sgn(F)/(d*x + c)^2 - 2*pi*b^2*d^2*log(abs(F))*sgn(F)/(d*x + c)^4 - 2*pi*b*d^2/(d*x + c)^2 + 2*pi*b^2*d^2*log(abs(F))/(d*x + c)^4)*e^(1/2*(pi*a*(sgn(F) - 1) + pi*b*(sgn(F) - 1)/(d*x + c)^2)*i)/(pi^3*b^3*d^3*i*sgn(F) - 3*pi*b^3*d^3*i*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3*i + 3*pi*b^3*d^3*i*log(abs(F))^2 - 3*pi^2*b^3*d^3*log(abs(F))*sgn(F) + 3*pi^2*b^3*d^3*log(abs(F)) - 2*b^3*d^3*log(abs(F))^3) + (pi^2*b^2*d^2*i*sgn(F)/(d*x + c)^4 - pi^2*b^2*d^2*i/(d*x + c)^4 + 4*d^2*i - 4*b*d^2*i*log(abs(F))/(d*x + c)^2 + 2*b^2*d^2*i*log(abs(F))^2/(d*x + c)^4 - 2*pi*b*d^2*sgn(F)/(d*x + c)^2 + 2*pi*b^2*d^2*log(abs(F))*sgn(F)/(d*x + c)^4 + 2*pi*b*d^2/(d*x + c)^2 - 2*pi*b^2*d^2*log(abs(F))/(d*x + c)^4)*e^(-1/2*(pi*a*(sgn(F) - 1) + pi*b*(sgn(F) - 1)/(d*x + c)^2)*i)/(pi^3*b^3*d^3*i*sgn(F) - 3*pi*b^3*d^3*i*log(abs(F))^2*sgn(F) - pi^3*b^3*d^3*i + 3*pi*b^3*d^3*i*log(abs(F))^2 + 3*pi^2*b^3*d^3*log(abs(F))*sgn(F) - 3*pi^2*b^3*d^3*log(abs(F)) + 2*b^3*d^3*log(abs(F))^3))*e^(a*log(abs(F)) + b*log(abs(F))/(d*x + c)^2)/i","B",0
324,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^9,x, algorithm=""giac"")","\int \frac{F^{a + \frac{b}{{\left(d x + c\right)}^{2}}}}{{\left(d x + c\right)}^{9}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c)^2)/(d*x + c)^9, x)","F",0
325,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^11,x, algorithm=""giac"")","\int \frac{F^{a + \frac{b}{{\left(d x + c\right)}^{2}}}}{{\left(d x + c\right)}^{11}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c)^2)/(d*x + c)^11, x)","F",0
326,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^13,x, algorithm=""giac"")","\int \frac{F^{a + \frac{b}{{\left(d x + c\right)}^{2}}}}{{\left(d x + c\right)}^{13}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c)^2)/(d*x + c)^13, x)","F",0
327,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^10,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{10} F^{a + \frac{b}{{\left(d x + c\right)}^{2}}}\,{d x}"," ",0,"integrate((d*x + c)^10*F^(a + b/(d*x + c)^2), x)","F",0
328,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^8,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{8} F^{a + \frac{b}{{\left(d x + c\right)}^{2}}}\,{d x}"," ",0,"integrate((d*x + c)^8*F^(a + b/(d*x + c)^2), x)","F",0
329,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^6,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{6} F^{a + \frac{b}{{\left(d x + c\right)}^{2}}}\,{d x}"," ",0,"integrate((d*x + c)^6*F^(a + b/(d*x + c)^2), x)","F",0
330,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^4,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{4} F^{a + \frac{b}{{\left(d x + c\right)}^{2}}}\,{d x}"," ",0,"integrate((d*x + c)^4*F^(a + b/(d*x + c)^2), x)","F",0
331,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} F^{a + \frac{b}{{\left(d x + c\right)}^{2}}}\,{d x}"," ",0,"integrate((d*x + c)^2*F^(a + b/(d*x + c)^2), x)","F",0
332,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^2),x, algorithm=""giac"")","\int F^{a + \frac{b}{{\left(d x + c\right)}^{2}}}\,{d x}"," ",0,"integrate(F^(a + b/(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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\int {\left(d x + c\right)}^{14} F^{a + \frac{b}{{\left(d x + c\right)}^{3}}}\,{d x}"," ",0,"integrate((d*x + c)^14*F^(a + b/(d*x + c)^3), x)","F",0
342,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3)*(d*x+c)^11,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{11} F^{a + \frac{b}{{\left(d x + c\right)}^{3}}}\,{d x}"," ",0,"integrate((d*x + c)^11*F^(a + b/(d*x + c)^3), x)","F",0
343,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3)*(d*x+c)^8,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{8} F^{a + \frac{b}{{\left(d x + c\right)}^{3}}}\,{d x}"," ",0,"integrate((d*x + c)^8*F^(a + b/(d*x + c)^3), x)","F",0
344,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3)*(d*x+c)^5,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{5} F^{a + \frac{b}{{\left(d x + c\right)}^{3}}}\,{d x}"," ",0,"integrate((d*x + c)^5*F^(a + b/(d*x + c)^3), x)","F",0
345,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3)*(d*x+c)^2,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{2} F^{a + \frac{b}{{\left(d x + c\right)}^{3}}}\,{d x}"," ",0,"integrate((d*x + c)^2*F^(a + b/(d*x + c)^3), x)","F",0
346,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c),x, algorithm=""giac"")","\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
347,1,77,0,0.475295," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c)^4,x, algorithm=""giac"")","-\frac{F^{\frac{a d^{3} x^{3} + 3 \, a c d^{2} x^{2} + 3 \, a c^{2} d x + a c^{3} + b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{3 \, b d \log\left(F\right)}"," ",0,"-1/3*F^((a*d^3*x^3 + 3*a*c*d^2*x^2 + 3*a*c^2*d*x + a*c^3 + b)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/(b*d*log(F))","B",0
348,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c)^7,x, algorithm=""giac"")","\int \frac{F^{a + \frac{b}{{\left(d x + c\right)}^{3}}}}{{\left(d x + c\right)}^{7}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c)^3)/(d*x + c)^7, x)","F",0
349,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c)^10,x, algorithm=""giac"")","\int \frac{F^{a + \frac{b}{{\left(d x + c\right)}^{3}}}}{{\left(d x + c\right)}^{10}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c)^3)/(d*x + c)^10, x)","F",0
350,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c)^13,x, algorithm=""giac"")","\int \frac{F^{a + \frac{b}{{\left(d x + c\right)}^{3}}}}{{\left(d x + c\right)}^{13}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c)^3)/(d*x + c)^13, x)","F",0
351,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c)^16,x, algorithm=""giac"")","\int \frac{F^{a + \frac{b}{{\left(d x + c\right)}^{3}}}}{{\left(d x + c\right)}^{16}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c)^3)/(d*x + c)^16, x)","F",0
352,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c)^19,x, algorithm=""giac"")","\int \frac{F^{a + \frac{b}{{\left(d x + c\right)}^{3}}}}{{\left(d x + c\right)}^{19}}\,{d x}"," ",0,"integrate(F^(a + b/(d*x + c)^3)/(d*x + c)^19, x)","F",0
353,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3)*(d*x+c)^3,x, algorithm=""giac"")","\int {\left(d x + c\right)}^{3} F^{a + \frac{b}{{\left(d x + c\right)}^{3}}}\,{d x}"," ",0,"integrate((d*x + c)^3*F^(a + b/(d*x + c)^3), x)","F",0
354,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3)*(d*x+c),x, algorithm=""giac"")","\int {\left(d x + c\right)} F^{a + \frac{b}{{\left(d x + c\right)}^{3}}}\,{d x}"," ",0,"integrate((d*x + c)*F^(a + b/(d*x + c)^3), x)","F",0
355,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c)^3),x, algorithm=""giac"")","\int F^{a + \frac{b}{{\left(d x + c\right)}^{3}}}\,{d x}"," ",0,"integrate(F^(a + b/(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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
368,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1+6*n),x, algorithm=""giac"")","\int {\left(d x + c\right)}^{6 \, n - 1} F^{{\left(d x + c\right)}^{n} b + a}\,{d x}"," ",0,"integrate((d*x + c)^(6*n - 1)*F^((d*x + c)^n*b + a), x)","F",0
369,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1+5*n),x, algorithm=""giac"")","\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
370,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1+4*n),x, algorithm=""giac"")","\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
371,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1+3*n),x, algorithm=""giac"")","\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
372,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1+2*n),x, algorithm=""giac"")","\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
373,1,27,0,0.300910," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1+n),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
380,1,37,0,0.467108," ","integrate(F^(c*(b*x+a)^n)*(b*x+a)^(-1+1/2*n),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-c \log\left(F\right)} \sqrt{{\left(b x + a\right)}^{n}}\right)}{\sqrt{-c \log\left(F\right)} b n}"," ",0,"-sqrt(pi)*erf(-sqrt(-c*log(F))*sqrt((b*x + a)^n))/(sqrt(-c*log(F))*b*n)","A",0
381,1,35,0,0.460983," ","integrate((b*x+a)^(-1+1/2*n)/(F^(c*(b*x+a)^n)),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{c \log\left(F\right)} \sqrt{{\left(b x + a\right)}^{n}}\right)}{\sqrt{c \log\left(F\right)} b n}"," ",0,"-sqrt(pi)*erf(-sqrt(c*log(F))*sqrt((b*x + a)^n))/(sqrt(c*log(F))*b*n)","A",0
382,1,942,0,0.502892," ","integrate(F^(a+b*(d*x+c)^2)*(f*x+e)^5,x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right) e^{\left(a \log\left(F\right) + 5\right)}}{2 \, \sqrt{-b \log\left(F\right)} d} + \frac{5 \, {\left(\frac{\sqrt{\pi} c f \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right) e^{\left(a \log\left(F\right) + 4\right)}}{\sqrt{-b \log\left(F\right)} d} + \frac{f e^{\left(b d^{2} x^{2} \log\left(F\right) + 2 \, b c d x \log\left(F\right) + b c^{2} \log\left(F\right) + a \log\left(F\right) + 4\right)}}{b d \log\left(F\right)}\right)}}{2 \, d} - \frac{5 \, {\left(\frac{\sqrt{\pi} {\left(2 \, b c^{2} f^{2} \log\left(F\right) - f^{2}\right)} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right) e^{\left(a \log\left(F\right) + 3\right)}}{\sqrt{-b \log\left(F\right)} b d \log\left(F\right)} - \frac{2 \, {\left(d f^{2} {\left(x + \frac{c}{d}\right)} - 2 \, c f^{2}\right)} e^{\left(b d^{2} x^{2} \log\left(F\right) + 2 \, b c d x \log\left(F\right) + b c^{2} \log\left(F\right) + a \log\left(F\right) + 3\right)}}{b d \log\left(F\right)}\right)}}{2 \, d^{2}} + \frac{5 \, {\left(\frac{\sqrt{\pi} {\left(2 \, b c^{3} f^{3} \log\left(F\right) - 3 \, c f^{3}\right)} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right) e^{\left(a \log\left(F\right) + 2\right)}}{\sqrt{-b \log\left(F\right)} b d \log\left(F\right)} + \frac{2 \, {\left(b d^{2} f^{3} {\left(x + \frac{c}{d}\right)}^{2} \log\left(F\right) - 3 \, b c d f^{3} {\left(x + \frac{c}{d}\right)} \log\left(F\right) + 3 \, b c^{2} f^{3} \log\left(F\right) - f^{3}\right)} e^{\left(b d^{2} x^{2} \log\left(F\right) + 2 \, b c d x \log\left(F\right) + b c^{2} \log\left(F\right) + a \log\left(F\right) + 2\right)}}{b^{2} d \log\left(F\right)^{2}}\right)}}{2 \, d^{3}} - \frac{5 \, {\left(\frac{\sqrt{\pi} {\left(4 \, b^{2} c^{4} f^{4} \log\left(F\right)^{2} - 12 \, b c^{2} f^{4} \log\left(F\right) + 3 \, f^{4}\right)} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right) e^{\left(a \log\left(F\right) + 1\right)}}{\sqrt{-b \log\left(F\right)} b^{2} d \log\left(F\right)^{2}} - \frac{2 \, {\left(2 \, b d^{3} f^{4} {\left(x + \frac{c}{d}\right)}^{3} \log\left(F\right) - 8 \, b c d^{2} f^{4} {\left(x + \frac{c}{d}\right)}^{2} \log\left(F\right) + 12 \, b c^{2} d f^{4} {\left(x + \frac{c}{d}\right)} \log\left(F\right) - 8 \, b c^{3} f^{4} \log\left(F\right) - 3 \, d f^{4} {\left(x + \frac{c}{d}\right)} + 8 \, c f^{4}\right)} e^{\left(b d^{2} x^{2} \log\left(F\right) + 2 \, b c d x \log\left(F\right) + b c^{2} \log\left(F\right) + a \log\left(F\right) + 1\right)}}{b^{2} d \log\left(F\right)^{2}}\right)}}{8 \, d^{4}} + \frac{\frac{\sqrt{\pi} {\left(4 \, b^{2} c^{5} f^{5} \log\left(F\right)^{2} - 20 \, b c^{3} f^{5} \log\left(F\right) + 15 \, c f^{5}\right)} F^{a} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right)}{\sqrt{-b \log\left(F\right)} b^{2} d \log\left(F\right)^{2}} + \frac{2 \, {\left(2 \, b^{2} d^{4} f^{5} {\left(x + \frac{c}{d}\right)}^{4} \log\left(F\right)^{2} - 10 \, b^{2} c d^{3} f^{5} {\left(x + \frac{c}{d}\right)}^{3} \log\left(F\right)^{2} + 20 \, b^{2} c^{2} d^{2} f^{5} {\left(x + \frac{c}{d}\right)}^{2} \log\left(F\right)^{2} - 20 \, b^{2} c^{3} d f^{5} {\left(x + \frac{c}{d}\right)} \log\left(F\right)^{2} + 10 \, b^{2} c^{4} f^{5} \log\left(F\right)^{2} - 4 \, b d^{2} f^{5} {\left(x + \frac{c}{d}\right)}^{2} \log\left(F\right) + 15 \, b c d f^{5} {\left(x + \frac{c}{d}\right)} \log\left(F\right) - 20 \, b c^{2} f^{5} \log\left(F\right) + 4 \, f^{5}\right)} e^{\left(b d^{2} x^{2} \log\left(F\right) + 2 \, b c d x \log\left(F\right) + b c^{2} \log\left(F\right) + a \log\left(F\right)\right)}}{b^{3} d \log\left(F\right)^{3}}}{8 \, d^{5}}"," ",0,"-1/2*sqrt(pi)*erf(-sqrt(-b*log(F))*d*(x + c/d))*e^(a*log(F) + 5)/(sqrt(-b*log(F))*d) + 5/2*(sqrt(pi)*c*f*erf(-sqrt(-b*log(F))*d*(x + c/d))*e^(a*log(F) + 4)/(sqrt(-b*log(F))*d) + f*e^(b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) + b*c^2*log(F) + a*log(F) + 4)/(b*d*log(F)))/d - 5/2*(sqrt(pi)*(2*b*c^2*f^2*log(F) - f^2)*erf(-sqrt(-b*log(F))*d*(x + c/d))*e^(a*log(F) + 3)/(sqrt(-b*log(F))*b*d*log(F)) - 2*(d*f^2*(x + c/d) - 2*c*f^2)*e^(b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) + b*c^2*log(F) + a*log(F) + 3)/(b*d*log(F)))/d^2 + 5/2*(sqrt(pi)*(2*b*c^3*f^3*log(F) - 3*c*f^3)*erf(-sqrt(-b*log(F))*d*(x + c/d))*e^(a*log(F) + 2)/(sqrt(-b*log(F))*b*d*log(F)) + 2*(b*d^2*f^3*(x + c/d)^2*log(F) - 3*b*c*d*f^3*(x + c/d)*log(F) + 3*b*c^2*f^3*log(F) - f^3)*e^(b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) + b*c^2*log(F) + a*log(F) + 2)/(b^2*d*log(F)^2))/d^3 - 5/8*(sqrt(pi)*(4*b^2*c^4*f^4*log(F)^2 - 12*b*c^2*f^4*log(F) + 3*f^4)*erf(-sqrt(-b*log(F))*d*(x + c/d))*e^(a*log(F) + 1)/(sqrt(-b*log(F))*b^2*d*log(F)^2) - 2*(2*b*d^3*f^4*(x + c/d)^3*log(F) - 8*b*c*d^2*f^4*(x + c/d)^2*log(F) + 12*b*c^2*d*f^4*(x + c/d)*log(F) - 8*b*c^3*f^4*log(F) - 3*d*f^4*(x + c/d) + 8*c*f^4)*e^(b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) + b*c^2*log(F) + a*log(F) + 1)/(b^2*d*log(F)^2))/d^4 + 1/8*(sqrt(pi)*(4*b^2*c^5*f^5*log(F)^2 - 20*b*c^3*f^5*log(F) + 15*c*f^5)*F^a*erf(-sqrt(-b*log(F))*d*(x + c/d))/(sqrt(-b*log(F))*b^2*d*log(F)^2) + 2*(2*b^2*d^4*f^5*(x + c/d)^4*log(F)^2 - 10*b^2*c*d^3*f^5*(x + c/d)^3*log(F)^2 + 20*b^2*c^2*d^2*f^5*(x + c/d)^2*log(F)^2 - 20*b^2*c^3*d*f^5*(x + c/d)*log(F)^2 + 10*b^2*c^4*f^5*log(F)^2 - 4*b*d^2*f^5*(x + c/d)^2*log(F) + 15*b*c*d*f^5*(x + c/d)*log(F) - 20*b*c^2*f^5*log(F) + 4*f^5)*e^(b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) + b*c^2*log(F) + a*log(F))/(b^3*d*log(F)^3))/d^5","A",0
383,1,644,0,0.629457," ","integrate(F^(a+b*(d*x+c)^2)*(f*x+e)^4,x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right) e^{\left(a \log\left(F\right) + 4\right)}}{2 \, \sqrt{-b \log\left(F\right)} d} + \frac{2 \, {\left(\frac{\sqrt{\pi} c f \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right) e^{\left(a \log\left(F\right) + 3\right)}}{\sqrt{-b \log\left(F\right)} d} + \frac{f e^{\left(b d^{2} x^{2} \log\left(F\right) + 2 \, b c d x \log\left(F\right) + b c^{2} \log\left(F\right) + a \log\left(F\right) + 3\right)}}{b d \log\left(F\right)}\right)}}{d} - \frac{3 \, {\left(\frac{\sqrt{\pi} {\left(2 \, b c^{2} f^{2} \log\left(F\right) - f^{2}\right)} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right) e^{\left(a \log\left(F\right) + 2\right)}}{\sqrt{-b \log\left(F\right)} b d \log\left(F\right)} - \frac{2 \, {\left(d f^{2} {\left(x + \frac{c}{d}\right)} - 2 \, c f^{2}\right)} e^{\left(b d^{2} x^{2} \log\left(F\right) + 2 \, b c d x \log\left(F\right) + b c^{2} \log\left(F\right) + a \log\left(F\right) + 2\right)}}{b d \log\left(F\right)}\right)}}{2 \, d^{2}} + \frac{\frac{\sqrt{\pi} {\left(2 \, b c^{3} f^{3} \log\left(F\right) - 3 \, c f^{3}\right)} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right) e^{\left(a \log\left(F\right) + 1\right)}}{\sqrt{-b \log\left(F\right)} b d \log\left(F\right)} + \frac{2 \, {\left(b d^{2} f^{3} {\left(x + \frac{c}{d}\right)}^{2} \log\left(F\right) - 3 \, b c d f^{3} {\left(x + \frac{c}{d}\right)} \log\left(F\right) + 3 \, b c^{2} f^{3} \log\left(F\right) - f^{3}\right)} e^{\left(b d^{2} x^{2} \log\left(F\right) + 2 \, b c d x \log\left(F\right) + b c^{2} \log\left(F\right) + a \log\left(F\right) + 1\right)}}{b^{2} d \log\left(F\right)^{2}}}{d^{3}} - \frac{\frac{\sqrt{\pi} {\left(4 \, b^{2} c^{4} f^{4} \log\left(F\right)^{2} - 12 \, b c^{2} f^{4} \log\left(F\right) + 3 \, f^{4}\right)} F^{a} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right)}{\sqrt{-b \log\left(F\right)} b^{2} d \log\left(F\right)^{2}} - \frac{2 \, {\left(2 \, b d^{3} f^{4} {\left(x + \frac{c}{d}\right)}^{3} \log\left(F\right) - 8 \, b c d^{2} f^{4} {\left(x + \frac{c}{d}\right)}^{2} \log\left(F\right) + 12 \, b c^{2} d f^{4} {\left(x + \frac{c}{d}\right)} \log\left(F\right) - 8 \, b c^{3} f^{4} \log\left(F\right) - 3 \, d f^{4} {\left(x + \frac{c}{d}\right)} + 8 \, c f^{4}\right)} e^{\left(b d^{2} x^{2} \log\left(F\right) + 2 \, b c d x \log\left(F\right) + b c^{2} \log\left(F\right) + a \log\left(F\right)\right)}}{b^{2} d \log\left(F\right)^{2}}}{8 \, d^{4}}"," ",0,"-1/2*sqrt(pi)*erf(-sqrt(-b*log(F))*d*(x + c/d))*e^(a*log(F) + 4)/(sqrt(-b*log(F))*d) + 2*(sqrt(pi)*c*f*erf(-sqrt(-b*log(F))*d*(x + c/d))*e^(a*log(F) + 3)/(sqrt(-b*log(F))*d) + f*e^(b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) + b*c^2*log(F) + a*log(F) + 3)/(b*d*log(F)))/d - 3/2*(sqrt(pi)*(2*b*c^2*f^2*log(F) - f^2)*erf(-sqrt(-b*log(F))*d*(x + c/d))*e^(a*log(F) + 2)/(sqrt(-b*log(F))*b*d*log(F)) - 2*(d*f^2*(x + c/d) - 2*c*f^2)*e^(b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) + b*c^2*log(F) + a*log(F) + 2)/(b*d*log(F)))/d^2 + (sqrt(pi)*(2*b*c^3*f^3*log(F) - 3*c*f^3)*erf(-sqrt(-b*log(F))*d*(x + c/d))*e^(a*log(F) + 1)/(sqrt(-b*log(F))*b*d*log(F)) + 2*(b*d^2*f^3*(x + c/d)^2*log(F) - 3*b*c*d*f^3*(x + c/d)*log(F) + 3*b*c^2*f^3*log(F) - f^3)*e^(b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) + b*c^2*log(F) + a*log(F) + 1)/(b^2*d*log(F)^2))/d^3 - 1/8*(sqrt(pi)*(4*b^2*c^4*f^4*log(F)^2 - 12*b*c^2*f^4*log(F) + 3*f^4)*F^a*erf(-sqrt(-b*log(F))*d*(x + c/d))/(sqrt(-b*log(F))*b^2*d*log(F)^2) - 2*(2*b*d^3*f^4*(x + c/d)^3*log(F) - 8*b*c*d^2*f^4*(x + c/d)^2*log(F) + 12*b*c^2*d*f^4*(x + c/d)*log(F) - 8*b*c^3*f^4*log(F) - 3*d*f^4*(x + c/d) + 8*c*f^4)*e^(b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) + b*c^2*log(F) + a*log(F))/(b^2*d*log(F)^2))/d^4","A",0
384,1,426,0,0.482151," ","integrate(F^(a+b*(d*x+c)^2)*(f*x+e)^3,x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right) e^{\left(a \log\left(F\right) + 3\right)}}{2 \, \sqrt{-b \log\left(F\right)} d} + \frac{3 \, {\left(\frac{\sqrt{\pi} c f \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right) e^{\left(a \log\left(F\right) + 2\right)}}{\sqrt{-b \log\left(F\right)} d} + \frac{f e^{\left(b d^{2} x^{2} \log\left(F\right) + 2 \, b c d x \log\left(F\right) + b c^{2} \log\left(F\right) + a \log\left(F\right) + 2\right)}}{b d \log\left(F\right)}\right)}}{2 \, d} - \frac{3 \, {\left(\frac{\sqrt{\pi} {\left(2 \, b c^{2} f^{2} \log\left(F\right) - f^{2}\right)} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right) e^{\left(a \log\left(F\right) + 1\right)}}{\sqrt{-b \log\left(F\right)} b d \log\left(F\right)} - \frac{2 \, {\left(d f^{2} {\left(x + \frac{c}{d}\right)} - 2 \, c f^{2}\right)} e^{\left(b d^{2} x^{2} \log\left(F\right) + 2 \, b c d x \log\left(F\right) + b c^{2} \log\left(F\right) + a \log\left(F\right) + 1\right)}}{b d \log\left(F\right)}\right)}}{4 \, d^{2}} + \frac{\frac{\sqrt{\pi} {\left(2 \, b c^{3} f^{3} \log\left(F\right) - 3 \, c f^{3}\right)} F^{a} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right)}{\sqrt{-b \log\left(F\right)} b d \log\left(F\right)} + \frac{2 \, {\left(b d^{2} f^{3} {\left(x + \frac{c}{d}\right)}^{2} \log\left(F\right) - 3 \, b c d f^{3} {\left(x + \frac{c}{d}\right)} \log\left(F\right) + 3 \, b c^{2} f^{3} \log\left(F\right) - f^{3}\right)} e^{\left(b d^{2} x^{2} \log\left(F\right) + 2 \, b c d x \log\left(F\right) + b c^{2} \log\left(F\right) + a \log\left(F\right)\right)}}{b^{2} d \log\left(F\right)^{2}}}{4 \, d^{3}}"," ",0,"-1/2*sqrt(pi)*erf(-sqrt(-b*log(F))*d*(x + c/d))*e^(a*log(F) + 3)/(sqrt(-b*log(F))*d) + 3/2*(sqrt(pi)*c*f*erf(-sqrt(-b*log(F))*d*(x + c/d))*e^(a*log(F) + 2)/(sqrt(-b*log(F))*d) + f*e^(b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) + b*c^2*log(F) + a*log(F) + 2)/(b*d*log(F)))/d - 3/4*(sqrt(pi)*(2*b*c^2*f^2*log(F) - f^2)*erf(-sqrt(-b*log(F))*d*(x + c/d))*e^(a*log(F) + 1)/(sqrt(-b*log(F))*b*d*log(F)) - 2*(d*f^2*(x + c/d) - 2*c*f^2)*e^(b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) + b*c^2*log(F) + a*log(F) + 1)/(b*d*log(F)))/d^2 + 1/4*(sqrt(pi)*(2*b*c^3*f^3*log(F) - 3*c*f^3)*F^a*erf(-sqrt(-b*log(F))*d*(x + c/d))/(sqrt(-b*log(F))*b*d*log(F)) + 2*(b*d^2*f^3*(x + c/d)^2*log(F) - 3*b*c*d*f^3*(x + c/d)*log(F) + 3*b*c^2*f^3*log(F) - f^3)*e^(b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) + b*c^2*log(F) + a*log(F))/(b^2*d*log(F)^2))/d^3","A",0
385,1,258,0,0.537285," ","integrate(F^(a+b*(d*x+c)^2)*(f*x+e)^2,x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right) e^{\left(a \log\left(F\right) + 2\right)}}{2 \, \sqrt{-b \log\left(F\right)} d} + \frac{\frac{\sqrt{\pi} c f \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right) e^{\left(a \log\left(F\right) + 1\right)}}{\sqrt{-b \log\left(F\right)} d} + \frac{f e^{\left(b d^{2} x^{2} \log\left(F\right) + 2 \, b c d x \log\left(F\right) + b c^{2} \log\left(F\right) + a \log\left(F\right) + 1\right)}}{b d \log\left(F\right)}}{d} - \frac{\frac{\sqrt{\pi} {\left(2 \, b c^{2} f^{2} \log\left(F\right) - f^{2}\right)} F^{a} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right)}{\sqrt{-b \log\left(F\right)} b d \log\left(F\right)} - \frac{2 \, {\left(d f^{2} {\left(x + \frac{c}{d}\right)} - 2 \, c f^{2}\right)} e^{\left(b d^{2} x^{2} \log\left(F\right) + 2 \, b c d x \log\left(F\right) + b c^{2} \log\left(F\right) + a \log\left(F\right)\right)}}{b d \log\left(F\right)}}{4 \, d^{2}}"," ",0,"-1/2*sqrt(pi)*erf(-sqrt(-b*log(F))*d*(x + c/d))*e^(a*log(F) + 2)/(sqrt(-b*log(F))*d) + (sqrt(pi)*c*f*erf(-sqrt(-b*log(F))*d*(x + c/d))*e^(a*log(F) + 1)/(sqrt(-b*log(F))*d) + f*e^(b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) + b*c^2*log(F) + a*log(F) + 1)/(b*d*log(F)))/d - 1/4*(sqrt(pi)*(2*b*c^2*f^2*log(F) - f^2)*F^a*erf(-sqrt(-b*log(F))*d*(x + c/d))/(sqrt(-b*log(F))*b*d*log(F)) - 2*(d*f^2*(x + c/d) - 2*c*f^2)*e^(b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) + b*c^2*log(F) + a*log(F))/(b*d*log(F)))/d^2","A",0
386,1,127,0,0.455733," ","integrate(F^(a+b*(d*x+c)^2)*(f*x+e),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right) e^{\left(a \log\left(F\right) + 1\right)}}{2 \, \sqrt{-b \log\left(F\right)} d} + \frac{\frac{\sqrt{\pi} F^{a} c f \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right)}{\sqrt{-b \log\left(F\right)} d} + \frac{f e^{\left(b d^{2} x^{2} \log\left(F\right) + 2 \, b c d x \log\left(F\right) + b c^{2} \log\left(F\right) + a \log\left(F\right)\right)}}{b d \log\left(F\right)}}{2 \, d}"," ",0,"-1/2*sqrt(pi)*erf(-sqrt(-b*log(F))*d*(x + c/d))*e^(a*log(F) + 1)/(sqrt(-b*log(F))*d) + 1/2*(sqrt(pi)*F^a*c*f*erf(-sqrt(-b*log(F))*d*(x + c/d))/(sqrt(-b*log(F))*d) + f*e^(b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) + b*c^2*log(F) + a*log(F))/(b*d*log(F)))/d","A",0
387,1,36,0,0.422167," ","integrate(F^(a+b*(d*x+c)^2),x, algorithm=""giac"")","-\frac{\sqrt{\pi} F^{a} \operatorname{erf}\left(-\sqrt{-b \log\left(F\right)} d {\left(x + \frac{c}{d}\right)}\right)}{2 \, \sqrt{-b \log\left(F\right)} d}"," ",0,"-1/2*sqrt(pi)*F^a*erf(-sqrt(-b*log(F))*d*(x + c/d))/(sqrt(-b*log(F))*d)","A",0
388,0,0,0,0.000000," ","integrate(F^(a+b*(d*x+c)^2)/(f*x+e),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\mathit{undef}"," ",0,"undef","F",0
397,0,0,0,0.000000," ","integrate(F^(a+b/(d*x+c))/(f*x+e),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
401,1,1427,0,0.754366," ","integrate(exp(e/(d*x+c))*(b*x+a)^4,x, algorithm=""giac"")","-\frac{{\left(\frac{120 \, b^{4} c^{4} {\rm Ei}\left(\frac{e}{d x + c}\right) e^{7}}{{\left(d x + c\right)}^{5}} - \frac{480 \, a b^{3} c^{3} d {\rm Ei}\left(\frac{e}{d x + c}\right) e^{7}}{{\left(d x + c\right)}^{5}} + \frac{720 \, a^{2} b^{2} c^{2} d^{2} {\rm Ei}\left(\frac{e}{d x + c}\right) e^{7}}{{\left(d x + c\right)}^{5}} - \frac{480 \, a^{3} b c d^{3} {\rm Ei}\left(\frac{e}{d x + c}\right) e^{7}}{{\left(d x + c\right)}^{5}} + \frac{120 \, a^{4} d^{4} {\rm Ei}\left(\frac{e}{d x + c}\right) e^{7}}{{\left(d x + c\right)}^{5}} - 24 \, b^{4} e^{\left(\frac{e}{d x + c} + 6\right)} + \frac{120 \, b^{4} c e^{\left(\frac{e}{d x + c} + 6\right)}}{d x + c} - \frac{240 \, b^{4} c^{2} e^{\left(\frac{e}{d x + c} + 6\right)}}{{\left(d x + c\right)}^{2}} + \frac{240 \, b^{4} c^{3} e^{\left(\frac{e}{d x + c} + 6\right)}}{{\left(d x + c\right)}^{3}} - \frac{120 \, b^{4} c^{4} e^{\left(\frac{e}{d x + c} + 6\right)}}{{\left(d x + c\right)}^{4}} - \frac{120 \, a b^{3} d e^{\left(\frac{e}{d x + c} + 6\right)}}{d x + c} + \frac{480 \, a b^{3} c d e^{\left(\frac{e}{d x + c} + 6\right)}}{{\left(d x + c\right)}^{2}} - \frac{720 \, a b^{3} c^{2} d e^{\left(\frac{e}{d x + c} + 6\right)}}{{\left(d x + c\right)}^{3}} + \frac{480 \, a b^{3} c^{3} d e^{\left(\frac{e}{d x + c} + 6\right)}}{{\left(d x + c\right)}^{4}} - \frac{240 \, a^{2} b^{2} d^{2} e^{\left(\frac{e}{d x + c} + 6\right)}}{{\left(d x + c\right)}^{2}} + \frac{720 \, a^{2} b^{2} c d^{2} e^{\left(\frac{e}{d x + c} + 6\right)}}{{\left(d x + c\right)}^{3}} - \frac{720 \, a^{2} b^{2} c^{2} d^{2} e^{\left(\frac{e}{d x + c} + 6\right)}}{{\left(d x + c\right)}^{4}} - \frac{240 \, a^{3} b d^{3} e^{\left(\frac{e}{d x + c} + 6\right)}}{{\left(d x + c\right)}^{3}} + \frac{480 \, a^{3} b c d^{3} e^{\left(\frac{e}{d x + c} + 6\right)}}{{\left(d x + c\right)}^{4}} - \frac{120 \, a^{4} d^{4} e^{\left(\frac{e}{d x + c} + 6\right)}}{{\left(d x + c\right)}^{4}} - \frac{240 \, b^{4} c^{3} {\rm Ei}\left(\frac{e}{d x + c}\right) e^{8}}{{\left(d x + c\right)}^{5}} + \frac{720 \, a b^{3} c^{2} d {\rm Ei}\left(\frac{e}{d x + c}\right) e^{8}}{{\left(d x + c\right)}^{5}} - \frac{720 \, a^{2} b^{2} c d^{2} {\rm Ei}\left(\frac{e}{d x + c}\right) e^{8}}{{\left(d x + c\right)}^{5}} + \frac{240 \, a^{3} b d^{3} {\rm Ei}\left(\frac{e}{d x + c}\right) e^{8}}{{\left(d x + c\right)}^{5}} - \frac{6 \, b^{4} e^{\left(\frac{e}{d x + c} + 7\right)}}{d x + c} + \frac{40 \, b^{4} c e^{\left(\frac{e}{d x + c} + 7\right)}}{{\left(d x + c\right)}^{2}} - \frac{120 \, b^{4} c^{2} e^{\left(\frac{e}{d x + c} + 7\right)}}{{\left(d x + c\right)}^{3}} + \frac{240 \, b^{4} c^{3} e^{\left(\frac{e}{d x + c} + 7\right)}}{{\left(d x + c\right)}^{4}} - \frac{40 \, a b^{3} d e^{\left(\frac{e}{d x + c} + 7\right)}}{{\left(d x + c\right)}^{2}} + \frac{240 \, a b^{3} c d e^{\left(\frac{e}{d x + c} + 7\right)}}{{\left(d x + c\right)}^{3}} - \frac{720 \, a b^{3} c^{2} d e^{\left(\frac{e}{d x + c} + 7\right)}}{{\left(d x + c\right)}^{4}} - \frac{120 \, a^{2} b^{2} d^{2} e^{\left(\frac{e}{d x + c} + 7\right)}}{{\left(d x + c\right)}^{3}} + \frac{720 \, a^{2} b^{2} c d^{2} e^{\left(\frac{e}{d x + c} + 7\right)}}{{\left(d x + c\right)}^{4}} - \frac{240 \, a^{3} b d^{3} e^{\left(\frac{e}{d x + c} + 7\right)}}{{\left(d x + c\right)}^{4}} + \frac{120 \, b^{4} c^{2} {\rm Ei}\left(\frac{e}{d x + c}\right) e^{9}}{{\left(d x + c\right)}^{5}} - \frac{240 \, a b^{3} c d {\rm Ei}\left(\frac{e}{d x + c}\right) e^{9}}{{\left(d x + c\right)}^{5}} + \frac{120 \, a^{2} b^{2} d^{2} {\rm Ei}\left(\frac{e}{d x + c}\right) e^{9}}{{\left(d x + c\right)}^{5}} - \frac{2 \, b^{4} e^{\left(\frac{e}{d x + c} + 8\right)}}{{\left(d x + c\right)}^{2}} + \frac{20 \, b^{4} c e^{\left(\frac{e}{d x + c} + 8\right)}}{{\left(d x + c\right)}^{3}} - \frac{120 \, b^{4} c^{2} e^{\left(\frac{e}{d x + c} + 8\right)}}{{\left(d x + c\right)}^{4}} - \frac{20 \, a b^{3} d e^{\left(\frac{e}{d x + c} + 8\right)}}{{\left(d x + c\right)}^{3}} + \frac{240 \, a b^{3} c d e^{\left(\frac{e}{d x + c} + 8\right)}}{{\left(d x + c\right)}^{4}} - \frac{120 \, a^{2} b^{2} d^{2} e^{\left(\frac{e}{d x + c} + 8\right)}}{{\left(d x + c\right)}^{4}} - \frac{20 \, b^{4} c {\rm Ei}\left(\frac{e}{d x + c}\right) e^{10}}{{\left(d x + c\right)}^{5}} + \frac{20 \, a b^{3} d {\rm Ei}\left(\frac{e}{d x + c}\right) e^{10}}{{\left(d x + c\right)}^{5}} - \frac{b^{4} e^{\left(\frac{e}{d x + c} + 9\right)}}{{\left(d x + c\right)}^{3}} + \frac{20 \, b^{4} c e^{\left(\frac{e}{d x + c} + 9\right)}}{{\left(d x + c\right)}^{4}} - \frac{20 \, a b^{3} d e^{\left(\frac{e}{d x + c} + 9\right)}}{{\left(d x + c\right)}^{4}} + \frac{b^{4} {\rm Ei}\left(\frac{e}{d x + c}\right) e^{11}}{{\left(d x + c\right)}^{5}} - \frac{b^{4} e^{\left(\frac{e}{d x + c} + 10\right)}}{{\left(d x + c\right)}^{4}}\right)} {\left(d x + c\right)}^{5} e^{\left(-6\right)}}{120 \, d^{5}}"," ",0,"-1/120*(120*b^4*c^4*Ei(e/(d*x + c))*e^7/(d*x + c)^5 - 480*a*b^3*c^3*d*Ei(e/(d*x + c))*e^7/(d*x + c)^5 + 720*a^2*b^2*c^2*d^2*Ei(e/(d*x + c))*e^7/(d*x + c)^5 - 480*a^3*b*c*d^3*Ei(e/(d*x + c))*e^7/(d*x + c)^5 + 120*a^4*d^4*Ei(e/(d*x + c))*e^7/(d*x + c)^5 - 24*b^4*e^(e/(d*x + c) + 6) + 120*b^4*c*e^(e/(d*x + c) + 6)/(d*x + c) - 240*b^4*c^2*e^(e/(d*x + c) + 6)/(d*x + c)^2 + 240*b^4*c^3*e^(e/(d*x + c) + 6)/(d*x + c)^3 - 120*b^4*c^4*e^(e/(d*x + c) + 6)/(d*x + c)^4 - 120*a*b^3*d*e^(e/(d*x + c) + 6)/(d*x + c) + 480*a*b^3*c*d*e^(e/(d*x + c) + 6)/(d*x + c)^2 - 720*a*b^3*c^2*d*e^(e/(d*x + c) + 6)/(d*x + c)^3 + 480*a*b^3*c^3*d*e^(e/(d*x + c) + 6)/(d*x + c)^4 - 240*a^2*b^2*d^2*e^(e/(d*x + c) + 6)/(d*x + c)^2 + 720*a^2*b^2*c*d^2*e^(e/(d*x + c) + 6)/(d*x + c)^3 - 720*a^2*b^2*c^2*d^2*e^(e/(d*x + c) + 6)/(d*x + c)^4 - 240*a^3*b*d^3*e^(e/(d*x + c) + 6)/(d*x + c)^3 + 480*a^3*b*c*d^3*e^(e/(d*x + c) + 6)/(d*x + c)^4 - 120*a^4*d^4*e^(e/(d*x + c) + 6)/(d*x + c)^4 - 240*b^4*c^3*Ei(e/(d*x + c))*e^8/(d*x + c)^5 + 720*a*b^3*c^2*d*Ei(e/(d*x + c))*e^8/(d*x + c)^5 - 720*a^2*b^2*c*d^2*Ei(e/(d*x + c))*e^8/(d*x + c)^5 + 240*a^3*b*d^3*Ei(e/(d*x + c))*e^8/(d*x + c)^5 - 6*b^4*e^(e/(d*x + c) + 7)/(d*x + c) + 40*b^4*c*e^(e/(d*x + c) + 7)/(d*x + c)^2 - 120*b^4*c^2*e^(e/(d*x + c) + 7)/(d*x + c)^3 + 240*b^4*c^3*e^(e/(d*x + c) + 7)/(d*x + c)^4 - 40*a*b^3*d*e^(e/(d*x + c) + 7)/(d*x + c)^2 + 240*a*b^3*c*d*e^(e/(d*x + c) + 7)/(d*x + c)^3 - 720*a*b^3*c^2*d*e^(e/(d*x + c) + 7)/(d*x + c)^4 - 120*a^2*b^2*d^2*e^(e/(d*x + c) + 7)/(d*x + c)^3 + 720*a^2*b^2*c*d^2*e^(e/(d*x + c) + 7)/(d*x + c)^4 - 240*a^3*b*d^3*e^(e/(d*x + c) + 7)/(d*x + c)^4 + 120*b^4*c^2*Ei(e/(d*x + c))*e^9/(d*x + c)^5 - 240*a*b^3*c*d*Ei(e/(d*x + c))*e^9/(d*x + c)^5 + 120*a^2*b^2*d^2*Ei(e/(d*x + c))*e^9/(d*x + c)^5 - 2*b^4*e^(e/(d*x + c) + 8)/(d*x + c)^2 + 20*b^4*c*e^(e/(d*x + c) + 8)/(d*x + c)^3 - 120*b^4*c^2*e^(e/(d*x + c) + 8)/(d*x + c)^4 - 20*a*b^3*d*e^(e/(d*x + c) + 8)/(d*x + c)^3 + 240*a*b^3*c*d*e^(e/(d*x + c) + 8)/(d*x + c)^4 - 120*a^2*b^2*d^2*e^(e/(d*x + c) + 8)/(d*x + c)^4 - 20*b^4*c*Ei(e/(d*x + c))*e^10/(d*x + c)^5 + 20*a*b^3*d*Ei(e/(d*x + c))*e^10/(d*x + c)^5 - b^4*e^(e/(d*x + c) + 9)/(d*x + c)^3 + 20*b^4*c*e^(e/(d*x + c) + 9)/(d*x + c)^4 - 20*a*b^3*d*e^(e/(d*x + c) + 9)/(d*x + c)^4 + b^4*Ei(e/(d*x + c))*e^11/(d*x + c)^5 - b^4*e^(e/(d*x + c) + 10)/(d*x + c)^4)*(d*x + c)^5*e^(-6)/d^5","B",0
402,1,830,0,0.621065," ","integrate(exp(e/(d*x+c))*(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(\frac{24 \, b^{3} c^{3} {\rm Ei}\left(\frac{e}{d x + c}\right) e^{6}}{{\left(d x + c\right)}^{4}} - \frac{72 \, a b^{2} c^{2} d {\rm Ei}\left(\frac{e}{d x + c}\right) e^{6}}{{\left(d x + c\right)}^{4}} + \frac{72 \, a^{2} b c d^{2} {\rm Ei}\left(\frac{e}{d x + c}\right) e^{6}}{{\left(d x + c\right)}^{4}} - \frac{24 \, a^{3} d^{3} {\rm Ei}\left(\frac{e}{d x + c}\right) e^{6}}{{\left(d x + c\right)}^{4}} + 6 \, b^{3} e^{\left(\frac{e}{d x + c} + 5\right)} - \frac{24 \, b^{3} c e^{\left(\frac{e}{d x + c} + 5\right)}}{d x + c} + \frac{36 \, b^{3} c^{2} e^{\left(\frac{e}{d x + c} + 5\right)}}{{\left(d x + c\right)}^{2}} - \frac{24 \, b^{3} c^{3} e^{\left(\frac{e}{d x + c} + 5\right)}}{{\left(d x + c\right)}^{3}} + \frac{24 \, a b^{2} d e^{\left(\frac{e}{d x + c} + 5\right)}}{d x + c} - \frac{72 \, a b^{2} c d e^{\left(\frac{e}{d x + c} + 5\right)}}{{\left(d x + c\right)}^{2}} + \frac{72 \, a b^{2} c^{2} d e^{\left(\frac{e}{d x + c} + 5\right)}}{{\left(d x + c\right)}^{3}} + \frac{36 \, a^{2} b d^{2} e^{\left(\frac{e}{d x + c} + 5\right)}}{{\left(d x + c\right)}^{2}} - \frac{72 \, a^{2} b c d^{2} e^{\left(\frac{e}{d x + c} + 5\right)}}{{\left(d x + c\right)}^{3}} + \frac{24 \, a^{3} d^{3} e^{\left(\frac{e}{d x + c} + 5\right)}}{{\left(d x + c\right)}^{3}} - \frac{36 \, b^{3} c^{2} {\rm Ei}\left(\frac{e}{d x + c}\right) e^{7}}{{\left(d x + c\right)}^{4}} + \frac{72 \, a b^{2} c d {\rm Ei}\left(\frac{e}{d x + c}\right) e^{7}}{{\left(d x + c\right)}^{4}} - \frac{36 \, a^{2} b d^{2} {\rm Ei}\left(\frac{e}{d x + c}\right) e^{7}}{{\left(d x + c\right)}^{4}} + \frac{2 \, b^{3} e^{\left(\frac{e}{d x + c} + 6\right)}}{d x + c} - \frac{12 \, b^{3} c e^{\left(\frac{e}{d x + c} + 6\right)}}{{\left(d x + c\right)}^{2}} + \frac{36 \, b^{3} c^{2} e^{\left(\frac{e}{d x + c} + 6\right)}}{{\left(d x + c\right)}^{3}} + \frac{12 \, a b^{2} d e^{\left(\frac{e}{d x + c} + 6\right)}}{{\left(d x + c\right)}^{2}} - \frac{72 \, a b^{2} c d e^{\left(\frac{e}{d x + c} + 6\right)}}{{\left(d x + c\right)}^{3}} + \frac{36 \, a^{2} b d^{2} e^{\left(\frac{e}{d x + c} + 6\right)}}{{\left(d x + c\right)}^{3}} + \frac{12 \, b^{3} c {\rm Ei}\left(\frac{e}{d x + c}\right) e^{8}}{{\left(d x + c\right)}^{4}} - \frac{12 \, a b^{2} d {\rm Ei}\left(\frac{e}{d x + c}\right) e^{8}}{{\left(d x + c\right)}^{4}} + \frac{b^{3} e^{\left(\frac{e}{d x + c} + 7\right)}}{{\left(d x + c\right)}^{2}} - \frac{12 \, b^{3} c e^{\left(\frac{e}{d x + c} + 7\right)}}{{\left(d x + c\right)}^{3}} + \frac{12 \, a b^{2} d e^{\left(\frac{e}{d x + c} + 7\right)}}{{\left(d x + c\right)}^{3}} - \frac{b^{3} {\rm Ei}\left(\frac{e}{d x + c}\right) e^{9}}{{\left(d x + c\right)}^{4}} + \frac{b^{3} e^{\left(\frac{e}{d x + c} + 8\right)}}{{\left(d x + c\right)}^{3}}\right)} {\left(d x + c\right)}^{4} e^{\left(-5\right)}}{24 \, d^{4}}"," ",0,"1/24*(24*b^3*c^3*Ei(e/(d*x + c))*e^6/(d*x + c)^4 - 72*a*b^2*c^2*d*Ei(e/(d*x + c))*e^6/(d*x + c)^4 + 72*a^2*b*c*d^2*Ei(e/(d*x + c))*e^6/(d*x + c)^4 - 24*a^3*d^3*Ei(e/(d*x + c))*e^6/(d*x + c)^4 + 6*b^3*e^(e/(d*x + c) + 5) - 24*b^3*c*e^(e/(d*x + c) + 5)/(d*x + c) + 36*b^3*c^2*e^(e/(d*x + c) + 5)/(d*x + c)^2 - 24*b^3*c^3*e^(e/(d*x + c) + 5)/(d*x + c)^3 + 24*a*b^2*d*e^(e/(d*x + c) + 5)/(d*x + c) - 72*a*b^2*c*d*e^(e/(d*x + c) + 5)/(d*x + c)^2 + 72*a*b^2*c^2*d*e^(e/(d*x + c) + 5)/(d*x + c)^3 + 36*a^2*b*d^2*e^(e/(d*x + c) + 5)/(d*x + c)^2 - 72*a^2*b*c*d^2*e^(e/(d*x + c) + 5)/(d*x + c)^3 + 24*a^3*d^3*e^(e/(d*x + c) + 5)/(d*x + c)^3 - 36*b^3*c^2*Ei(e/(d*x + c))*e^7/(d*x + c)^4 + 72*a*b^2*c*d*Ei(e/(d*x + c))*e^7/(d*x + c)^4 - 36*a^2*b*d^2*Ei(e/(d*x + c))*e^7/(d*x + c)^4 + 2*b^3*e^(e/(d*x + c) + 6)/(d*x + c) - 12*b^3*c*e^(e/(d*x + c) + 6)/(d*x + c)^2 + 36*b^3*c^2*e^(e/(d*x + c) + 6)/(d*x + c)^3 + 12*a*b^2*d*e^(e/(d*x + c) + 6)/(d*x + c)^2 - 72*a*b^2*c*d*e^(e/(d*x + c) + 6)/(d*x + c)^3 + 36*a^2*b*d^2*e^(e/(d*x + c) + 6)/(d*x + c)^3 + 12*b^3*c*Ei(e/(d*x + c))*e^8/(d*x + c)^4 - 12*a*b^2*d*Ei(e/(d*x + c))*e^8/(d*x + c)^4 + b^3*e^(e/(d*x + c) + 7)/(d*x + c)^2 - 12*b^3*c*e^(e/(d*x + c) + 7)/(d*x + c)^3 + 12*a*b^2*d*e^(e/(d*x + c) + 7)/(d*x + c)^3 - b^3*Ei(e/(d*x + c))*e^9/(d*x + c)^4 + b^3*e^(e/(d*x + c) + 8)/(d*x + c)^3)*(d*x + c)^4*e^(-5)/d^4","B",0
403,1,424,0,0.550277," ","integrate(exp(e/(d*x+c))*(b*x+a)^2,x, algorithm=""giac"")","-\frac{{\left(\frac{6 \, b^{2} c^{2} {\rm Ei}\left(\frac{e}{d x + c}\right) e^{5}}{{\left(d x + c\right)}^{3}} - \frac{12 \, a b c d {\rm Ei}\left(\frac{e}{d x + c}\right) e^{5}}{{\left(d x + c\right)}^{3}} + \frac{6 \, a^{2} d^{2} {\rm Ei}\left(\frac{e}{d x + c}\right) e^{5}}{{\left(d x + c\right)}^{3}} - 2 \, b^{2} e^{\left(\frac{e}{d x + c} + 4\right)} + \frac{6 \, b^{2} c e^{\left(\frac{e}{d x + c} + 4\right)}}{d x + c} - \frac{6 \, b^{2} c^{2} e^{\left(\frac{e}{d x + c} + 4\right)}}{{\left(d x + c\right)}^{2}} - \frac{6 \, a b d e^{\left(\frac{e}{d x + c} + 4\right)}}{d x + c} + \frac{12 \, a b c d e^{\left(\frac{e}{d x + c} + 4\right)}}{{\left(d x + c\right)}^{2}} - \frac{6 \, a^{2} d^{2} e^{\left(\frac{e}{d x + c} + 4\right)}}{{\left(d x + c\right)}^{2}} - \frac{6 \, b^{2} c {\rm Ei}\left(\frac{e}{d x + c}\right) e^{6}}{{\left(d x + c\right)}^{3}} + \frac{6 \, a b d {\rm Ei}\left(\frac{e}{d x + c}\right) e^{6}}{{\left(d x + c\right)}^{3}} - \frac{b^{2} e^{\left(\frac{e}{d x + c} + 5\right)}}{d x + c} + \frac{6 \, b^{2} c e^{\left(\frac{e}{d x + c} + 5\right)}}{{\left(d x + c\right)}^{2}} - \frac{6 \, a b d e^{\left(\frac{e}{d x + c} + 5\right)}}{{\left(d x + c\right)}^{2}} + \frac{b^{2} {\rm Ei}\left(\frac{e}{d x + c}\right) e^{7}}{{\left(d x + c\right)}^{3}} - \frac{b^{2} e^{\left(\frac{e}{d x + c} + 6\right)}}{{\left(d x + c\right)}^{2}}\right)} {\left(d x + c\right)}^{3} e^{\left(-4\right)}}{6 \, d^{3}}"," ",0,"-1/6*(6*b^2*c^2*Ei(e/(d*x + c))*e^5/(d*x + c)^3 - 12*a*b*c*d*Ei(e/(d*x + c))*e^5/(d*x + c)^3 + 6*a^2*d^2*Ei(e/(d*x + c))*e^5/(d*x + c)^3 - 2*b^2*e^(e/(d*x + c) + 4) + 6*b^2*c*e^(e/(d*x + c) + 4)/(d*x + c) - 6*b^2*c^2*e^(e/(d*x + c) + 4)/(d*x + c)^2 - 6*a*b*d*e^(e/(d*x + c) + 4)/(d*x + c) + 12*a*b*c*d*e^(e/(d*x + c) + 4)/(d*x + c)^2 - 6*a^2*d^2*e^(e/(d*x + c) + 4)/(d*x + c)^2 - 6*b^2*c*Ei(e/(d*x + c))*e^6/(d*x + c)^3 + 6*a*b*d*Ei(e/(d*x + c))*e^6/(d*x + c)^3 - b^2*e^(e/(d*x + c) + 5)/(d*x + c) + 6*b^2*c*e^(e/(d*x + c) + 5)/(d*x + c)^2 - 6*a*b*d*e^(e/(d*x + c) + 5)/(d*x + c)^2 + b^2*Ei(e/(d*x + c))*e^7/(d*x + c)^3 - b^2*e^(e/(d*x + c) + 6)/(d*x + c)^2)*(d*x + c)^3*e^(-4)/d^3","A",0
404,1,171,0,0.438071," ","integrate(exp(e/(d*x+c))*(b*x+a),x, algorithm=""giac"")","\frac{{\left(d x + c\right)}^{2} {\left(\frac{2 \, b c {\rm Ei}\left(\frac{e}{d x + c}\right) e^{4}}{{\left(d x + c\right)}^{2}} - \frac{2 \, a d {\rm Ei}\left(\frac{e}{d x + c}\right) e^{4}}{{\left(d x + c\right)}^{2}} + b e^{\left(\frac{e}{d x + c} + 3\right)} - \frac{2 \, b c e^{\left(\frac{e}{d x + c} + 3\right)}}{d x + c} + \frac{2 \, a d e^{\left(\frac{e}{d x + c} + 3\right)}}{d x + c} - \frac{b {\rm Ei}\left(\frac{e}{d x + c}\right) e^{5}}{{\left(d x + c\right)}^{2}} + \frac{b e^{\left(\frac{e}{d x + c} + 4\right)}}{d x + c}\right)} e^{\left(-3\right)}}{2 \, d^{2}}"," ",0,"1/2*(d*x + c)^2*(2*b*c*Ei(e/(d*x + c))*e^4/(d*x + c)^2 - 2*a*d*Ei(e/(d*x + c))*e^4/(d*x + c)^2 + b*e^(e/(d*x + c) + 3) - 2*b*c*e^(e/(d*x + c) + 3)/(d*x + c) + 2*a*d*e^(e/(d*x + c) + 3)/(d*x + c) - b*Ei(e/(d*x + c))*e^5/(d*x + c)^2 + b*e^(e/(d*x + c) + 4)/(d*x + c))*e^(-3)/d^2","A",0
405,1,49,0,0.312124," ","integrate(exp(e/(d*x+c)),x, algorithm=""giac"")","-\frac{{\left(d x + c\right)} {\left(\frac{{\rm Ei}\left(\frac{e}{d x + c}\right) e^{3}}{d x + c} - e^{\left(\frac{e}{d x + c} + 2\right)}\right)} e^{\left(-2\right)}}{d}"," ",0,"-(d*x + c)*(Ei(e/(d*x + c))*e^3/(d*x + c) - e^(e/(d*x + c) + 2))*e^(-2)/d","A",0
406,1,492,0,1.949725," ","integrate(exp(e/(d*x+c))/(b*x+a),x, algorithm=""giac"")","\frac{{\left(\frac{2 \, b^{2} c^{2} {\rm Ei}\left(\frac{e}{d x + c}\right) e^{3}}{{\left(d x + c\right)}^{2}} - \frac{4 \, a b c d {\rm Ei}\left(\frac{e}{d x + c}\right) e^{3}}{{\left(d x + c\right)}^{2}} + \frac{2 \, a^{2} d^{2} {\rm Ei}\left(\frac{e}{d x + c}\right) e^{3}}{{\left(d x + c\right)}^{2}} - \frac{2 \, b^{2} c^{2} {\rm Ei}\left(-\frac{b e - \frac{b c e}{d x + c} + \frac{a d e}{d x + c}}{b c - a d}\right) e^{\left(\frac{b e}{b c - a d} + 3\right)}}{{\left(d x + c\right)}^{2}} + \frac{4 \, a b c d {\rm Ei}\left(-\frac{b e - \frac{b c e}{d x + c} + \frac{a d e}{d x + c}}{b c - a d}\right) e^{\left(\frac{b e}{b c - a d} + 3\right)}}{{\left(d x + c\right)}^{2}} - \frac{2 \, a^{2} d^{2} {\rm Ei}\left(-\frac{b e - \frac{b c e}{d x + c} + \frac{a d e}{d x + c}}{b c - a d}\right) e^{\left(\frac{b e}{b c - a d} + 3\right)}}{{\left(d x + c\right)}^{2}} + \frac{2 \, b^{2} c {\rm Ei}\left(\frac{e}{d x + c}\right) e^{4}}{{\left(d x + c\right)}^{2}} - \frac{2 \, a b d {\rm Ei}\left(\frac{e}{d x + c}\right) e^{4}}{{\left(d x + c\right)}^{2}} - b^{2} e^{\left(\frac{e}{d x + c} + 3\right)} - \frac{2 \, b^{2} c e^{\left(\frac{e}{d x + c} + 3\right)}}{d x + c} + \frac{2 \, a b d e^{\left(\frac{e}{d x + c} + 3\right)}}{d x + c} + \frac{b^{2} {\rm Ei}\left(\frac{e}{d x + c}\right) e^{5}}{{\left(d x + c\right)}^{2}} - \frac{b^{2} e^{\left(\frac{e}{d x + c} + 4\right)}}{d x + c}\right)} {\left(d x + c\right)}^{2} e^{\left(-4\right)}}{2 \, b^{3} d}"," ",0,"1/2*(2*b^2*c^2*Ei(e/(d*x + c))*e^3/(d*x + c)^2 - 4*a*b*c*d*Ei(e/(d*x + c))*e^3/(d*x + c)^2 + 2*a^2*d^2*Ei(e/(d*x + c))*e^3/(d*x + c)^2 - 2*b^2*c^2*Ei(-(b*e - b*c*e/(d*x + c) + a*d*e/(d*x + c))/(b*c - a*d))*e^(b*e/(b*c - a*d) + 3)/(d*x + c)^2 + 4*a*b*c*d*Ei(-(b*e - b*c*e/(d*x + c) + a*d*e/(d*x + c))/(b*c - a*d))*e^(b*e/(b*c - a*d) + 3)/(d*x + c)^2 - 2*a^2*d^2*Ei(-(b*e - b*c*e/(d*x + c) + a*d*e/(d*x + c))/(b*c - a*d))*e^(b*e/(b*c - a*d) + 3)/(d*x + c)^2 + 2*b^2*c*Ei(e/(d*x + c))*e^4/(d*x + c)^2 - 2*a*b*d*Ei(e/(d*x + c))*e^4/(d*x + c)^2 - b^2*e^(e/(d*x + c) + 3) - 2*b^2*c*e^(e/(d*x + c) + 3)/(d*x + c) + 2*a*b*d*e^(e/(d*x + c) + 3)/(d*x + c) + b^2*Ei(e/(d*x + c))*e^5/(d*x + c)^2 - b^2*e^(e/(d*x + c) + 4)/(d*x + c))*(d*x + c)^2*e^(-4)/(b^3*d)","B",0
407,1,345,0,0.337837," ","integrate(exp(e/(d*x+c))/(b*x+a)^2,x, algorithm=""giac"")","-\frac{{\left(b {\rm Ei}\left(-\frac{b e - \frac{b c e}{d x + c} + \frac{a d e}{d x + c}}{b c - a d}\right) e^{\left(\frac{b e}{b c - a d} + 3\right)} - \frac{b c {\rm Ei}\left(-\frac{b e - \frac{b c e}{d x + c} + \frac{a d e}{d x + c}}{b c - a d}\right) e^{\left(\frac{b e}{b c - a d} + 3\right)}}{d x + c} + \frac{a d {\rm Ei}\left(-\frac{b e - \frac{b c e}{d x + c} + \frac{a d e}{d x + c}}{b c - a d}\right) e^{\left(\frac{b e}{b c - a d} + 3\right)}}{d x + c} + b c e^{\left(\frac{e}{d x + c} + 2\right)} - a d e^{\left(\frac{e}{d x + c} + 2\right)}\right)} d e^{\left(-1\right)}}{b^{3} c^{2} e - \frac{b^{3} c^{3} e}{d x + c} - 2 \, a b^{2} c d e + \frac{3 \, a b^{2} c^{2} d e}{d x + c} + a^{2} b d^{2} e - \frac{3 \, a^{2} b c d^{2} e}{d x + c} + \frac{a^{3} d^{3} e}{d x + c}}"," ",0,"-(b*Ei(-(b*e - b*c*e/(d*x + c) + a*d*e/(d*x + c))/(b*c - a*d))*e^(b*e/(b*c - a*d) + 3) - b*c*Ei(-(b*e - b*c*e/(d*x + c) + a*d*e/(d*x + c))/(b*c - a*d))*e^(b*e/(b*c - a*d) + 3)/(d*x + c) + a*d*Ei(-(b*e - b*c*e/(d*x + c) + a*d*e/(d*x + c))/(b*c - a*d))*e^(b*e/(b*c - a*d) + 3)/(d*x + c) + b*c*e^(e/(d*x + c) + 2) - a*d*e^(e/(d*x + c) + 2))*d*e^(-1)/(b^3*c^2*e - b^3*c^3*e/(d*x + c) - 2*a*b^2*c*d*e + 3*a*b^2*c^2*d*e/(d*x + c) + a^2*b*d^2*e - 3*a^2*b*c*d^2*e/(d*x + c) + a^3*d^3*e/(d*x + c))","B",0
408,1,1759,0,0.531918," ","integrate(exp(e/(d*x+c))/(b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(2 \, b^{3} c d {\rm Ei}\left(-\frac{b e - \frac{b c e}{d x + c} + \frac{a d e}{d x + c}}{b c - a d}\right) e^{\left(\frac{b e}{b c - a d} + 4\right)} - \frac{4 \, b^{3} c^{2} d {\rm Ei}\left(-\frac{b e - \frac{b c e}{d x + c} + \frac{a d e}{d x + c}}{b c - a d}\right) e^{\left(\frac{b e}{b c - a d} + 4\right)}}{d x + c} + \frac{2 \, b^{3} c^{3} d {\rm Ei}\left(-\frac{b e - \frac{b c e}{d x + c} + \frac{a d e}{d x + c}}{b c - a d}\right) e^{\left(\frac{b e}{b c - a d} + 4\right)}}{{\left(d x + c\right)}^{2}} - 2 \, a b^{2} d^{2} {\rm Ei}\left(-\frac{b e - \frac{b c e}{d x + c} + \frac{a d e}{d x + c}}{b c - a d}\right) e^{\left(\frac{b e}{b c - a d} + 4\right)} + \frac{8 \, a b^{2} c d^{2} {\rm Ei}\left(-\frac{b e - \frac{b c e}{d x + c} + \frac{a d e}{d x + c}}{b c - a d}\right) e^{\left(\frac{b e}{b c - a d} + 4\right)}}{d x + c} - \frac{6 \, a b^{2} c^{2} d^{2} {\rm Ei}\left(-\frac{b e - \frac{b c e}{d x + c} + \frac{a d e}{d x + c}}{b c - a d}\right) e^{\left(\frac{b e}{b c - a d} + 4\right)}}{{\left(d x + c\right)}^{2}} - \frac{4 \, a^{2} b d^{3} {\rm Ei}\left(-\frac{b e - \frac{b c e}{d x + c} + \frac{a d e}{d x + c}}{b c - a d}\right) e^{\left(\frac{b e}{b c - a d} + 4\right)}}{d x + c} + \frac{6 \, a^{2} b c d^{3} {\rm Ei}\left(-\frac{b e - \frac{b c e}{d x + c} + \frac{a d e}{d x + c}}{b c - a d}\right) e^{\left(\frac{b e}{b c - a d} + 4\right)}}{{\left(d x + c\right)}^{2}} - \frac{2 \, a^{3} d^{4} {\rm Ei}\left(-\frac{b e - \frac{b c e}{d x + c} + \frac{a d e}{d x + c}}{b c - a d}\right) e^{\left(\frac{b e}{b c - a d} + 4\right)}}{{\left(d x + c\right)}^{2}} + b^{3} c^{2} d e^{\left(\frac{e}{d x + c} + 3\right)} - \frac{2 \, b^{3} c^{3} d e^{\left(\frac{e}{d x + c} + 3\right)}}{d x + c} - 2 \, a b^{2} c d^{2} e^{\left(\frac{e}{d x + c} + 3\right)} + \frac{6 \, a b^{2} c^{2} d^{2} e^{\left(\frac{e}{d x + c} + 3\right)}}{d x + c} + a^{2} b d^{3} e^{\left(\frac{e}{d x + c} + 3\right)} - \frac{6 \, a^{2} b c d^{3} e^{\left(\frac{e}{d x + c} + 3\right)}}{d x + c} + \frac{2 \, a^{3} d^{4} e^{\left(\frac{e}{d x + c} + 3\right)}}{d x + c} + b^{3} d {\rm Ei}\left(-\frac{b e - \frac{b c e}{d x + c} + \frac{a d e}{d x + c}}{b c - a d}\right) e^{\left(\frac{b e}{b c - a d} + 5\right)} - \frac{2 \, b^{3} c d {\rm Ei}\left(-\frac{b e - \frac{b c e}{d x + c} + \frac{a d e}{d x + c}}{b c - a d}\right) e^{\left(\frac{b e}{b c - a d} + 5\right)}}{d x + c} + \frac{b^{3} c^{2} d {\rm Ei}\left(-\frac{b e - \frac{b c e}{d x + c} + \frac{a d e}{d x + c}}{b c - a d}\right) e^{\left(\frac{b e}{b c - a d} + 5\right)}}{{\left(d x + c\right)}^{2}} + \frac{2 \, a b^{2} d^{2} {\rm Ei}\left(-\frac{b e - \frac{b c e}{d x + c} + \frac{a d e}{d x + c}}{b c - a d}\right) e^{\left(\frac{b e}{b c - a d} + 5\right)}}{d x + c} - \frac{2 \, a b^{2} c d^{2} {\rm Ei}\left(-\frac{b e - \frac{b c e}{d x + c} + \frac{a d e}{d x + c}}{b c - a d}\right) e^{\left(\frac{b e}{b c - a d} + 5\right)}}{{\left(d x + c\right)}^{2}} + \frac{a^{2} b d^{3} {\rm Ei}\left(-\frac{b e - \frac{b c e}{d x + c} + \frac{a d e}{d x + c}}{b c - a d}\right) e^{\left(\frac{b e}{b c - a d} + 5\right)}}{{\left(d x + c\right)}^{2}} + b^{3} c d e^{\left(\frac{e}{d x + c} + 4\right)} - \frac{b^{3} c^{2} d e^{\left(\frac{e}{d x + c} + 4\right)}}{d x + c} - a b^{2} d^{2} e^{\left(\frac{e}{d x + c} + 4\right)} + \frac{2 \, a b^{2} c d^{2} e^{\left(\frac{e}{d x + c} + 4\right)}}{d x + c} - \frac{a^{2} b d^{3} e^{\left(\frac{e}{d x + c} + 4\right)}}{d x + c}\right)} d e^{\left(-1\right)}}{2 \, {\left(b^{6} c^{4} e^{2} - \frac{2 \, b^{6} c^{5} e^{2}}{d x + c} + \frac{b^{6} c^{6} e^{2}}{{\left(d x + c\right)}^{2}} - 4 \, a b^{5} c^{3} d e^{2} + \frac{10 \, a b^{5} c^{4} d e^{2}}{d x + c} - \frac{6 \, a b^{5} c^{5} d e^{2}}{{\left(d x + c\right)}^{2}} + 6 \, a^{2} b^{4} c^{2} d^{2} e^{2} - \frac{20 \, a^{2} b^{4} c^{3} d^{2} e^{2}}{d x + c} + \frac{15 \, a^{2} b^{4} c^{4} d^{2} e^{2}}{{\left(d x + c\right)}^{2}} - 4 \, a^{3} b^{3} c d^{3} e^{2} + \frac{20 \, a^{3} b^{3} c^{2} d^{3} e^{2}}{d x + c} - \frac{20 \, a^{3} b^{3} c^{3} d^{3} e^{2}}{{\left(d x + c\right)}^{2}} + a^{4} b^{2} d^{4} e^{2} - \frac{10 \, a^{4} b^{2} c d^{4} e^{2}}{d x + c} + \frac{15 \, a^{4} b^{2} c^{2} d^{4} e^{2}}{{\left(d x + c\right)}^{2}} + \frac{2 \, a^{5} b d^{5} e^{2}}{d x + c} - \frac{6 \, a^{5} b c d^{5} e^{2}}{{\left(d x + c\right)}^{2}} + \frac{a^{6} d^{6} e^{2}}{{\left(d x + c\right)}^{2}}\right)}}"," ",0,"1/2*(2*b^3*c*d*Ei(-(b*e - b*c*e/(d*x + c) + a*d*e/(d*x + c))/(b*c - a*d))*e^(b*e/(b*c - a*d) + 4) - 4*b^3*c^2*d*Ei(-(b*e - b*c*e/(d*x + c) + a*d*e/(d*x + c))/(b*c - a*d))*e^(b*e/(b*c - a*d) + 4)/(d*x + c) + 2*b^3*c^3*d*Ei(-(b*e - b*c*e/(d*x + c) + a*d*e/(d*x + c))/(b*c - a*d))*e^(b*e/(b*c - a*d) + 4)/(d*x + c)^2 - 2*a*b^2*d^2*Ei(-(b*e - b*c*e/(d*x + c) + a*d*e/(d*x + c))/(b*c - a*d))*e^(b*e/(b*c - a*d) + 4) + 8*a*b^2*c*d^2*Ei(-(b*e - b*c*e/(d*x + c) + a*d*e/(d*x + c))/(b*c - a*d))*e^(b*e/(b*c - a*d) + 4)/(d*x + c) - 6*a*b^2*c^2*d^2*Ei(-(b*e - b*c*e/(d*x + c) + a*d*e/(d*x + c))/(b*c - a*d))*e^(b*e/(b*c - a*d) + 4)/(d*x + c)^2 - 4*a^2*b*d^3*Ei(-(b*e - b*c*e/(d*x + c) + a*d*e/(d*x + c))/(b*c - a*d))*e^(b*e/(b*c - a*d) + 4)/(d*x + c) + 6*a^2*b*c*d^3*Ei(-(b*e - b*c*e/(d*x + c) + a*d*e/(d*x + c))/(b*c - a*d))*e^(b*e/(b*c - a*d) + 4)/(d*x + c)^2 - 2*a^3*d^4*Ei(-(b*e - b*c*e/(d*x + c) + a*d*e/(d*x + c))/(b*c - a*d))*e^(b*e/(b*c - a*d) + 4)/(d*x + c)^2 + b^3*c^2*d*e^(e/(d*x + c) + 3) - 2*b^3*c^3*d*e^(e/(d*x + c) + 3)/(d*x + c) - 2*a*b^2*c*d^2*e^(e/(d*x + c) + 3) + 6*a*b^2*c^2*d^2*e^(e/(d*x + c) + 3)/(d*x + c) + a^2*b*d^3*e^(e/(d*x + c) + 3) - 6*a^2*b*c*d^3*e^(e/(d*x + c) + 3)/(d*x + c) + 2*a^3*d^4*e^(e/(d*x + c) + 3)/(d*x + c) + b^3*d*Ei(-(b*e - b*c*e/(d*x + c) + a*d*e/(d*x + c))/(b*c - a*d))*e^(b*e/(b*c - a*d) + 5) - 2*b^3*c*d*Ei(-(b*e - b*c*e/(d*x + c) + a*d*e/(d*x + c))/(b*c - a*d))*e^(b*e/(b*c - a*d) + 5)/(d*x + c) + b^3*c^2*d*Ei(-(b*e - b*c*e/(d*x + c) + a*d*e/(d*x + c))/(b*c - a*d))*e^(b*e/(b*c - a*d) + 5)/(d*x + c)^2 + 2*a*b^2*d^2*Ei(-(b*e - b*c*e/(d*x + c) + a*d*e/(d*x + c))/(b*c - a*d))*e^(b*e/(b*c - a*d) + 5)/(d*x + c) - 2*a*b^2*c*d^2*Ei(-(b*e - b*c*e/(d*x + c) + a*d*e/(d*x + c))/(b*c - a*d))*e^(b*e/(b*c - a*d) + 5)/(d*x + c)^2 + a^2*b*d^3*Ei(-(b*e - b*c*e/(d*x + c) + a*d*e/(d*x + c))/(b*c - a*d))*e^(b*e/(b*c - a*d) + 5)/(d*x + c)^2 + b^3*c*d*e^(e/(d*x + c) + 4) - b^3*c^2*d*e^(e/(d*x + c) + 4)/(d*x + c) - a*b^2*d^2*e^(e/(d*x + c) + 4) + 2*a*b^2*c*d^2*e^(e/(d*x + c) + 4)/(d*x + c) - a^2*b*d^3*e^(e/(d*x + c) + 4)/(d*x + c))*d*e^(-1)/(b^6*c^4*e^2 - 2*b^6*c^5*e^2/(d*x + c) + b^6*c^6*e^2/(d*x + c)^2 - 4*a*b^5*c^3*d*e^2 + 10*a*b^5*c^4*d*e^2/(d*x + c) - 6*a*b^5*c^5*d*e^2/(d*x + c)^2 + 6*a^2*b^4*c^2*d^2*e^2 - 20*a^2*b^4*c^3*d^2*e^2/(d*x + c) + 15*a^2*b^4*c^4*d^2*e^2/(d*x + c)^2 - 4*a^3*b^3*c*d^3*e^2 + 20*a^3*b^3*c^2*d^3*e^2/(d*x + c) - 20*a^3*b^3*c^3*d^3*e^2/(d*x + c)^2 + a^4*b^2*d^4*e^2 - 10*a^4*b^2*c*d^4*e^2/(d*x + c) + 15*a^4*b^2*c^2*d^4*e^2/(d*x + c)^2 + 2*a^5*b*d^5*e^2/(d*x + c) - 6*a^5*b*c*d^5*e^2/(d*x + c)^2 + a^6*d^6*e^2/(d*x + c)^2)","B",0
409,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)^2)*(b*x+a)^3,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{3} e^{\left(\frac{e}{{\left(d x + c\right)}^{2}}\right)}\,{d x}"," ",0,"integrate((b*x + a)^3*e^(e/(d*x + c)^2), x)","F",0
410,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)^2)*(b*x+a)^2,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{2} e^{\left(\frac{e}{{\left(d x + c\right)}^{2}}\right)}\,{d x}"," ",0,"integrate((b*x + a)^2*e^(e/(d*x + c)^2), x)","F",0
411,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)^2)*(b*x+a),x, algorithm=""giac"")","\int {\left(b x + a\right)} e^{\left(\frac{e}{{\left(d x + c\right)}^{2}}\right)}\,{d x}"," ",0,"integrate((b*x + a)*e^(e/(d*x + c)^2), x)","F",0
412,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)^2),x, algorithm=""giac"")","\int e^{\left(\frac{e}{{\left(d x + c\right)}^{2}}\right)}\,{d x}"," ",0,"integrate(e^(e/(d*x + c)^2), x)","F",0
413,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)^2)/(b*x+a),x, algorithm=""giac"")","\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=""giac"")","\mathit{undef}"," ",0,"undef","F",0
415,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)^2)/(b*x+a)^3,x, algorithm=""giac"")","\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=""giac"")","\int {\left(b x + a\right)}^{3} e^{\left(\frac{e}{{\left(d x + c\right)}^{3}}\right)}\,{d x}"," ",0,"integrate((b*x + a)^3*e^(e/(d*x + c)^3), x)","F",0
417,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)^3)*(b*x+a)^2,x, algorithm=""giac"")","\int {\left(b x + a\right)}^{2} e^{\left(\frac{e}{{\left(d x + c\right)}^{3}}\right)}\,{d x}"," ",0,"integrate((b*x + a)^2*e^(e/(d*x + c)^3), x)","F",0
418,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)^3)*(b*x+a),x, algorithm=""giac"")","\int {\left(b x + a\right)} e^{\left(\frac{e}{{\left(d x + c\right)}^{3}}\right)}\,{d x}"," ",0,"integrate((b*x + a)*e^(e/(d*x + c)^3), x)","F",0
419,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)^3),x, algorithm=""giac"")","\int e^{\left(\frac{e}{{\left(d x + c\right)}^{3}}\right)}\,{d x}"," ",0,"integrate(e^(e/(d*x + c)^3), x)","F",0
420,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)^3)/(b*x+a),x, algorithm=""giac"")","\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=""giac"")","\mathit{undef}"," ",0,"undef","F",0
422,0,0,0,0.000000," ","integrate(F^(e+f*(b*x+a)/(d*x+c))/(h*x+g),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
426,1,137,0,0.392284," ","integrate(f^(c*x^2+b*x+a)*x^3,x, algorithm=""giac"")","\frac{\frac{\sqrt{\pi} {\left(b^{3} \log\left(f\right) - 6 \, b c\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right) - 4 \, a c \log\left(f\right)}{4 \, c}\right)}}{\sqrt{-c \log\left(f\right)} \log\left(f\right)} + \frac{2 \, {\left(c^{2} {\left(2 \, x + \frac{b}{c}\right)}^{2} \log\left(f\right) - 3 \, b c {\left(2 \, x + \frac{b}{c}\right)} \log\left(f\right) + 3 \, b^{2} \log\left(f\right) - 4 \, c\right)} e^{\left(c x^{2} \log\left(f\right) + b x \log\left(f\right) + a \log\left(f\right)\right)}}{\log\left(f\right)^{2}}}{16 \, c^{3}}"," ",0,"1/16*(sqrt(pi)*(b^3*log(f) - 6*b*c)*erf(-1/2*sqrt(-c*log(f))*(2*x + b/c))*e^(-1/4*(b^2*log(f) - 4*a*c*log(f))/c)/(sqrt(-c*log(f))*log(f)) + 2*(c^2*(2*x + b/c)^2*log(f) - 3*b*c*(2*x + b/c)*log(f) + 3*b^2*log(f) - 4*c)*e^(c*x^2*log(f) + b*x*log(f) + a*log(f))/log(f)^2)/c^3","A",0
427,1,108,0,0.422011," ","integrate(f^(c*x^2+b*x+a)*x^2,x, algorithm=""giac"")","-\frac{\frac{\sqrt{\pi} {\left(b^{2} \log\left(f\right) - 2 \, c\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right) - 4 \, a c \log\left(f\right)}{4 \, c}\right)}}{\sqrt{-c \log\left(f\right)} \log\left(f\right)} - \frac{2 \, {\left(c {\left(2 \, x + \frac{b}{c}\right)} - 2 \, b\right)} e^{\left(c x^{2} \log\left(f\right) + b x \log\left(f\right) + a \log\left(f\right)\right)}}{\log\left(f\right)}}{8 \, c^{2}}"," ",0,"-1/8*(sqrt(pi)*(b^2*log(f) - 2*c)*erf(-1/2*sqrt(-c*log(f))*(2*x + b/c))*e^(-1/4*(b^2*log(f) - 4*a*c*log(f))/c)/(sqrt(-c*log(f))*log(f)) - 2*(c*(2*x + b/c) - 2*b)*e^(c*x^2*log(f) + b*x*log(f) + a*log(f))/log(f))/c^2","A",0
428,1,80,0,0.440079," ","integrate(f^(c*x^2+b*x+a)*x,x, algorithm=""giac"")","\frac{\frac{\sqrt{\pi} b \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right) - 4 \, a c \log\left(f\right)}{4 \, c}\right)}}{\sqrt{-c \log\left(f\right)}} + \frac{2 \, e^{\left(c x^{2} \log\left(f\right) + b x \log\left(f\right) + a \log\left(f\right)\right)}}{\log\left(f\right)}}{4 \, c}"," ",0,"1/4*(sqrt(pi)*b*erf(-1/2*sqrt(-c*log(f))*(2*x + b/c))*e^(-1/4*(b^2*log(f) - 4*a*c*log(f))/c)/sqrt(-c*log(f)) + 2*e^(c*x^2*log(f) + b*x*log(f) + a*log(f))/log(f))/c","A",0
429,1,50,0,0.389774," ","integrate(f^(c*x^2+b*x+a),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right) - 4 \, a c \log\left(f\right)}{4 \, c}\right)}}{2 \, \sqrt{-c \log\left(f\right)}}"," ",0,"-1/2*sqrt(pi)*erf(-1/2*sqrt(-c*log(f))*(2*x + b/c))*e^(-1/4*(b^2*log(f) - 4*a*c*log(f))/c)/sqrt(-c*log(f))","A",0
430,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)/x,x, algorithm=""giac"")","\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=""giac"")","\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
432,1,104,0,0.415354," ","integrate(exp(-c*x^2+b*x+a)*x^3,x, algorithm=""giac"")","-\frac{\frac{\sqrt{\pi} {\left(b^{3} + 6 \, b c\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{c} {\left(2 \, x - \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)}}{\sqrt{c}} + 2 \, {\left(c^{2} {\left(2 \, x - \frac{b}{c}\right)}^{2} + 3 \, b c {\left(2 \, x - \frac{b}{c}\right)} + 3 \, b^{2} + 4 \, c\right)} e^{\left(-c x^{2} + b x + a\right)}}{16 \, c^{3}}"," ",0,"-1/16*(sqrt(pi)*(b^3 + 6*b*c)*erf(-1/2*sqrt(c)*(2*x - b/c))*e^(1/4*(b^2 + 4*a*c)/c)/sqrt(c) + 2*(c^2*(2*x - b/c)^2 + 3*b*c*(2*x - b/c) + 3*b^2 + 4*c)*e^(-c*x^2 + b*x + a))/c^3","A",0
433,1,80,0,0.291821," ","integrate(exp(-c*x^2+b*x+a)*x^2,x, algorithm=""giac"")","-\frac{\frac{\sqrt{\pi} {\left(b^{2} + 2 \, c\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{c} {\left(2 \, x - \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)}}{\sqrt{c}} + 2 \, {\left(c {\left(2 \, x - \frac{b}{c}\right)} + 2 \, b\right)} e^{\left(-c x^{2} + b x + a\right)}}{8 \, c^{2}}"," ",0,"-1/8*(sqrt(pi)*(b^2 + 2*c)*erf(-1/2*sqrt(c)*(2*x - b/c))*e^(1/4*(b^2 + 4*a*c)/c)/sqrt(c) + 2*(c*(2*x - b/c) + 2*b)*e^(-c*x^2 + b*x + a))/c^2","A",0
434,1,58,0,0.303901," ","integrate(exp(-c*x^2+b*x+a)*x,x, algorithm=""giac"")","-\frac{\frac{\sqrt{\pi} b \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{c} {\left(2 \, x - \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)}}{\sqrt{c}} + 2 \, e^{\left(-c x^{2} + b x + a\right)}}{4 \, c}"," ",0,"-1/4*(sqrt(pi)*b*erf(-1/2*sqrt(c)*(2*x - b/c))*e^(1/4*(b^2 + 4*a*c)/c)/sqrt(c) + 2*e^(-c*x^2 + b*x + a))/c","A",0
435,1,38,0,0.386415," ","integrate(exp(-c*x^2+b*x+a),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{c} {\left(2 \, x - \frac{b}{c}\right)}\right) e^{\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)}}{2 \, \sqrt{c}}"," ",0,"-1/2*sqrt(pi)*erf(-1/2*sqrt(c)*(2*x - b/c))*e^(1/4*(b^2 + 4*a*c)/c)/sqrt(c)","A",0
436,0,0,0,0.000000," ","integrate(exp(-c*x^2+b*x+a)/x,x, algorithm=""giac"")","\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=""giac"")","\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
438,1,250,0,0.297452," ","integrate(exp((b*x+a)*(d*x+c))*x^3,x, algorithm=""giac"")","\frac{\frac{\sqrt{\pi} {\left(b^{3} c^{3} + 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} + a^{3} d^{3} - 6 \, b^{2} c d - 6 \, a b d^{2}\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-b d} {\left(2 \, x + \frac{b c + a d}{b d}\right)}\right) e^{\left(-\frac{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}}{4 \, b d}\right)}}{\sqrt{-b d}} + 2 \, {\left(b^{2} d^{2} {\left(2 \, x + \frac{b c + a d}{b d}\right)}^{2} - 3 \, b^{2} c d {\left(2 \, x + \frac{b c + a d}{b d}\right)} - 3 \, a b d^{2} {\left(2 \, x + \frac{b c + a d}{b d}\right)} + 3 \, b^{2} c^{2} + 6 \, a b c d + 3 \, a^{2} d^{2} - 4 \, b d\right)} e^{\left(b d x^{2} + b c x + a d x + a c\right)}}{16 \, b^{3} d^{3}}"," ",0,"1/16*(sqrt(pi)*(b^3*c^3 + 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 + a^3*d^3 - 6*b^2*c*d - 6*a*b*d^2)*erf(-1/2*sqrt(-b*d)*(2*x + (b*c + a*d)/(b*d)))*e^(-1/4*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)/(b*d))/sqrt(-b*d) + 2*(b^2*d^2*(2*x + (b*c + a*d)/(b*d))^2 - 3*b^2*c*d*(2*x + (b*c + a*d)/(b*d)) - 3*a*b*d^2*(2*x + (b*c + a*d)/(b*d)) + 3*b^2*c^2 + 6*a*b*c*d + 3*a^2*d^2 - 4*b*d)*e^(b*d*x^2 + b*c*x + a*d*x + a*c))/(b^3*d^3)","A",0
439,1,152,0,0.443210," ","integrate(exp((b*x+a)*(d*x+c))*x^2,x, algorithm=""giac"")","-\frac{\frac{\sqrt{\pi} {\left(b^{2} c^{2} + 2 \, a b c d + a^{2} d^{2} - 2 \, b d\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-b d} {\left(2 \, x + \frac{b c + a d}{b d}\right)}\right) e^{\left(-\frac{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}}{4 \, b d}\right)}}{\sqrt{-b d}} - 2 \, {\left(b d {\left(2 \, x + \frac{b c + a d}{b d}\right)} - 2 \, b c - 2 \, a d\right)} e^{\left(b d x^{2} + b c x + a d x + a c\right)}}{8 \, b^{2} d^{2}}"," ",0,"-1/8*(sqrt(pi)*(b^2*c^2 + 2*a*b*c*d + a^2*d^2 - 2*b*d)*erf(-1/2*sqrt(-b*d)*(2*x + (b*c + a*d)/(b*d)))*e^(-1/4*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)/(b*d))/sqrt(-b*d) - 2*(b*d*(2*x + (b*c + a*d)/(b*d)) - 2*b*c - 2*a*d)*e^(b*d*x^2 + b*c*x + a*d*x + a*c))/(b^2*d^2)","A",0
440,1,104,0,0.424651," ","integrate(exp((b*x+a)*(d*x+c))*x,x, algorithm=""giac"")","\frac{\frac{\sqrt{\pi} {\left(b c + a d\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-b d} {\left(2 \, x + \frac{b c + a d}{b d}\right)}\right) e^{\left(-\frac{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}}{4 \, b d}\right)}}{\sqrt{-b d}} + 2 \, e^{\left(b d x^{2} + b c x + a d x + a c\right)}}{4 \, b d}"," ",0,"1/4*(sqrt(pi)*(b*c + a*d)*erf(-1/2*sqrt(-b*d)*(2*x + (b*c + a*d)/(b*d)))*e^(-1/4*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)/(b*d))/sqrt(-b*d) + 2*e^(b*d*x^2 + b*c*x + a*d*x + a*c))/(b*d)","A",0
441,1,68,0,0.326726," ","integrate(exp((b*x+a)*(d*x+c)),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-b d} {\left(2 \, x + \frac{b c + a d}{b d}\right)}\right) e^{\left(-\frac{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}}{4 \, b d}\right)}}{2 \, \sqrt{-b d}}"," ",0,"-1/2*sqrt(pi)*erf(-1/2*sqrt(-b*d)*(2*x + (b*c + a*d)/(b*d)))*e^(-1/4*(b^2*c^2 - 2*a*b*c*d + a^2*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=""giac"")","\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=""giac"")","\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
444,1,401,0,0.539562," ","integrate(f^(c*x^2+b*x+a)*(e*x+d)^3,x, algorithm=""giac"")","-\frac{\sqrt{\pi} d^{3} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right) - 4 \, a c \log\left(f\right)}{4 \, c}\right)}}{2 \, \sqrt{-c \log\left(f\right)}} + \frac{3 \, {\left(\frac{\sqrt{\pi} b d^{2} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right) - 4 \, a c \log\left(f\right) - 4 \, c}{4 \, c}\right)}}{\sqrt{-c \log\left(f\right)}} + \frac{2 \, d^{2} e^{\left(c x^{2} \log\left(f\right) + b x \log\left(f\right) + a \log\left(f\right) + 1\right)}}{\log\left(f\right)}\right)}}{4 \, c} - \frac{3 \, {\left(\frac{\sqrt{\pi} {\left(b^{2} d \log\left(f\right) - 2 \, c d\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right) - 4 \, a c \log\left(f\right) - 8 \, c}{4 \, c}\right)}}{\sqrt{-c \log\left(f\right)} \log\left(f\right)} - \frac{2 \, {\left(c d {\left(2 \, x + \frac{b}{c}\right)} - 2 \, b d\right)} e^{\left(c x^{2} \log\left(f\right) + b x \log\left(f\right) + a \log\left(f\right) + 2\right)}}{\log\left(f\right)}\right)}}{8 \, c^{2}} + \frac{\frac{\sqrt{\pi} {\left(b^{3} \log\left(f\right) - 6 \, b c\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right) - 4 \, a c \log\left(f\right) - 12 \, c}{4 \, c}\right)}}{\sqrt{-c \log\left(f\right)} \log\left(f\right)} + \frac{2 \, {\left(c^{2} {\left(2 \, x + \frac{b}{c}\right)}^{2} \log\left(f\right) - 3 \, b c {\left(2 \, x + \frac{b}{c}\right)} \log\left(f\right) + 3 \, b^{2} \log\left(f\right) - 4 \, c\right)} e^{\left(c x^{2} \log\left(f\right) + b x \log\left(f\right) + a \log\left(f\right) + 3\right)}}{\log\left(f\right)^{2}}}{16 \, c^{3}}"," ",0,"-1/2*sqrt(pi)*d^3*erf(-1/2*sqrt(-c*log(f))*(2*x + b/c))*e^(-1/4*(b^2*log(f) - 4*a*c*log(f))/c)/sqrt(-c*log(f)) + 3/4*(sqrt(pi)*b*d^2*erf(-1/2*sqrt(-c*log(f))*(2*x + b/c))*e^(-1/4*(b^2*log(f) - 4*a*c*log(f) - 4*c)/c)/sqrt(-c*log(f)) + 2*d^2*e^(c*x^2*log(f) + b*x*log(f) + a*log(f) + 1)/log(f))/c - 3/8*(sqrt(pi)*(b^2*d*log(f) - 2*c*d)*erf(-1/2*sqrt(-c*log(f))*(2*x + b/c))*e^(-1/4*(b^2*log(f) - 4*a*c*log(f) - 8*c)/c)/(sqrt(-c*log(f))*log(f)) - 2*(c*d*(2*x + b/c) - 2*b*d)*e^(c*x^2*log(f) + b*x*log(f) + a*log(f) + 2)/log(f))/c^2 + 1/16*(sqrt(pi)*(b^3*log(f) - 6*b*c)*erf(-1/2*sqrt(-c*log(f))*(2*x + b/c))*e^(-1/4*(b^2*log(f) - 4*a*c*log(f) - 12*c)/c)/(sqrt(-c*log(f))*log(f)) + 2*(c^2*(2*x + b/c)^2*log(f) - 3*b*c*(2*x + b/c)*log(f) + 3*b^2*log(f) - 4*c)*e^(c*x^2*log(f) + b*x*log(f) + a*log(f) + 3)/log(f)^2)/c^3","A",0
445,1,252,0,0.401501," ","integrate(f^(c*x^2+b*x+a)*(e*x+d)^2,x, algorithm=""giac"")","-\frac{\sqrt{\pi} d^{2} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right) - 4 \, a c \log\left(f\right)}{4 \, c}\right)}}{2 \, \sqrt{-c \log\left(f\right)}} + \frac{\frac{\sqrt{\pi} b d \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right) - 4 \, a c \log\left(f\right) - 4 \, c}{4 \, c}\right)}}{\sqrt{-c \log\left(f\right)}} + \frac{2 \, d e^{\left(c x^{2} \log\left(f\right) + b x \log\left(f\right) + a \log\left(f\right) + 1\right)}}{\log\left(f\right)}}{2 \, c} - \frac{\frac{\sqrt{\pi} {\left(b^{2} \log\left(f\right) - 2 \, c\right)} \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right) - 4 \, a c \log\left(f\right) - 8 \, c}{4 \, c}\right)}}{\sqrt{-c \log\left(f\right)} \log\left(f\right)} - \frac{2 \, {\left(c {\left(2 \, x + \frac{b}{c}\right)} - 2 \, b\right)} e^{\left(c x^{2} \log\left(f\right) + b x \log\left(f\right) + a \log\left(f\right) + 2\right)}}{\log\left(f\right)}}{8 \, c^{2}}"," ",0,"-1/2*sqrt(pi)*d^2*erf(-1/2*sqrt(-c*log(f))*(2*x + b/c))*e^(-1/4*(b^2*log(f) - 4*a*c*log(f))/c)/sqrt(-c*log(f)) + 1/2*(sqrt(pi)*b*d*erf(-1/2*sqrt(-c*log(f))*(2*x + b/c))*e^(-1/4*(b^2*log(f) - 4*a*c*log(f) - 4*c)/c)/sqrt(-c*log(f)) + 2*d*e^(c*x^2*log(f) + b*x*log(f) + a*log(f) + 1)/log(f))/c - 1/8*(sqrt(pi)*(b^2*log(f) - 2*c)*erf(-1/2*sqrt(-c*log(f))*(2*x + b/c))*e^(-1/4*(b^2*log(f) - 4*a*c*log(f) - 8*c)/c)/(sqrt(-c*log(f))*log(f)) - 2*(c*(2*x + b/c) - 2*b)*e^(c*x^2*log(f) + b*x*log(f) + a*log(f) + 2)/log(f))/c^2","A",0
446,1,136,0,0.467653," ","integrate(f^(c*x^2+b*x+a)*(e*x+d),x, algorithm=""giac"")","-\frac{\sqrt{\pi} d \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right) - 4 \, a c \log\left(f\right)}{4 \, c}\right)}}{2 \, \sqrt{-c \log\left(f\right)}} + \frac{\frac{\sqrt{\pi} b \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right) - 4 \, a c \log\left(f\right) - 4 \, c}{4 \, c}\right)}}{\sqrt{-c \log\left(f\right)}} + \frac{2 \, e^{\left(c x^{2} \log\left(f\right) + b x \log\left(f\right) + a \log\left(f\right) + 1\right)}}{\log\left(f\right)}}{4 \, c}"," ",0,"-1/2*sqrt(pi)*d*erf(-1/2*sqrt(-c*log(f))*(2*x + b/c))*e^(-1/4*(b^2*log(f) - 4*a*c*log(f))/c)/sqrt(-c*log(f)) + 1/4*(sqrt(pi)*b*erf(-1/2*sqrt(-c*log(f))*(2*x + b/c))*e^(-1/4*(b^2*log(f) - 4*a*c*log(f) - 4*c)/c)/sqrt(-c*log(f)) + 2*e^(c*x^2*log(f) + b*x*log(f) + a*log(f) + 1)/log(f))/c","A",0
447,0,0,0,0.000000," ","integrate(f^(c*x^2+b*x+a)/(e*x+d),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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
450,1,780,0,0.569893," ","integrate(f^(c*x^2+b*x+a)*(2*c*x+b)^3,x, algorithm=""giac"")","{\left(2 \, {\left(\frac{{\left(b^{2} \log\left({\left| f \right|}\right) + 4 \, {\left(c x^{2} + b x\right)} c \log\left({\left| f \right|}\right) - 4 \, c\right)} {\left(\pi^{2} \mathrm{sgn}\left(f\right) - \pi^{2} + 2 \, \log\left({\left| f \right|}\right)^{2}\right)}}{{\left(\pi^{2} \mathrm{sgn}\left(f\right) - \pi^{2} + 2 \, \log\left({\left| f \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi \log\left({\left| f \right|}\right)\right)}^{2}} + \frac{{\left(\pi b^{2} \mathrm{sgn}\left(f\right) + 4 \, \pi {\left(c x^{2} + b x\right)} c \mathrm{sgn}\left(f\right) - \pi b^{2} - 4 \, \pi {\left(c x^{2} + b x\right)} c\right)} {\left(\pi \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi \log\left({\left| f \right|}\right)\right)}}{{\left(\pi^{2} \mathrm{sgn}\left(f\right) - \pi^{2} + 2 \, \log\left({\left| f \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi \log\left({\left| f \right|}\right)\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi c x^{2} \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi c x^{2} - \frac{1}{2} \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi b x - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi a\right) + {\left(\frac{{\left(\pi b^{2} \mathrm{sgn}\left(f\right) + 4 \, \pi {\left(c x^{2} + b x\right)} c \mathrm{sgn}\left(f\right) - \pi b^{2} - 4 \, \pi {\left(c x^{2} + b x\right)} c\right)} {\left(\pi^{2} \mathrm{sgn}\left(f\right) - \pi^{2} + 2 \, \log\left({\left| f \right|}\right)^{2}\right)}}{{\left(\pi^{2} \mathrm{sgn}\left(f\right) - \pi^{2} + 2 \, \log\left({\left| f \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi \log\left({\left| f \right|}\right)\right)}^{2}} - \frac{4 \, {\left(b^{2} \log\left({\left| f \right|}\right) + 4 \, {\left(c x^{2} + b x\right)} c \log\left({\left| f \right|}\right) - 4 \, c\right)} {\left(\pi \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi \log\left({\left| f \right|}\right)\right)}}{{\left(\pi^{2} \mathrm{sgn}\left(f\right) - \pi^{2} + 2 \, \log\left({\left| f \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi \log\left({\left| f \right|}\right)\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi c x^{2} \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi c x^{2} - \frac{1}{2} \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi b x - \frac{1}{2} \, \pi a \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi a\right)\right)} e^{\left({\left(c x^{2} + b x\right)} \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)} - \frac{{\left(\frac{{\left(2 \, b^{2} i \log\left({\left| f \right|}\right) + 8 \, {\left(c x^{2} + b x\right)} c i \log\left({\left| f \right|}\right) - \pi b^{2} \mathrm{sgn}\left(f\right) - 4 \, \pi {\left(c x^{2} + b x\right)} c \mathrm{sgn}\left(f\right) + \pi b^{2} + 4 \, \pi {\left(c x^{2} + b x\right)} c - 8 \, c i\right)} e^{\left(\frac{1}{2} \, {\left(\pi {\left(c x^{2} + b x\right)} {\left(\mathrm{sgn}\left(f\right) - 1\right)} + \pi a {\left(\mathrm{sgn}\left(f\right) - 1\right)}\right)} i\right)}}{2 \, \pi i \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 2 \, \pi i \log\left({\left| f \right|}\right) + \pi^{2} \mathrm{sgn}\left(f\right) - \pi^{2} + 2 \, \log\left({\left| f \right|}\right)^{2}} + \frac{{\left(2 \, b^{2} i \log\left({\left| f \right|}\right) + 8 \, {\left(c x^{2} + b x\right)} c i \log\left({\left| f \right|}\right) + \pi b^{2} \mathrm{sgn}\left(f\right) + 4 \, \pi {\left(c x^{2} + b x\right)} c \mathrm{sgn}\left(f\right) - \pi b^{2} - 4 \, \pi {\left(c x^{2} + b x\right)} c - 8 \, c i\right)} e^{\left(-\frac{1}{2} \, {\left(\pi {\left(c x^{2} + b x\right)} {\left(\mathrm{sgn}\left(f\right) - 1\right)} + \pi a {\left(\mathrm{sgn}\left(f\right) - 1\right)}\right)} i\right)}}{2 \, \pi i \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 2 \, \pi i \log\left({\left| f \right|}\right) - \pi^{2} \mathrm{sgn}\left(f\right) + \pi^{2} - 2 \, \log\left({\left| f \right|}\right)^{2}}\right)} e^{\left({\left(c x^{2} + b x\right)} \log\left({\left| f \right|}\right) + a \log\left({\left| f \right|}\right)\right)}}{2 \, i}"," ",0,"(2*((b^2*log(abs(f)) + 4*(c*x^2 + b*x)*c*log(abs(f)) - 4*c)*(pi^2*sgn(f) - pi^2 + 2*log(abs(f))^2)/((pi^2*sgn(f) - pi^2 + 2*log(abs(f))^2)^2 + 4*(pi*log(abs(f))*sgn(f) - pi*log(abs(f)))^2) + (pi*b^2*sgn(f) + 4*pi*(c*x^2 + b*x)*c*sgn(f) - pi*b^2 - 4*pi*(c*x^2 + b*x)*c)*(pi*log(abs(f))*sgn(f) - pi*log(abs(f)))/((pi^2*sgn(f) - pi^2 + 2*log(abs(f))^2)^2 + 4*(pi*log(abs(f))*sgn(f) - pi*log(abs(f)))^2))*cos(-1/2*pi*c*x^2*sgn(f) + 1/2*pi*c*x^2 - 1/2*pi*b*x*sgn(f) + 1/2*pi*b*x - 1/2*pi*a*sgn(f) + 1/2*pi*a) + ((pi*b^2*sgn(f) + 4*pi*(c*x^2 + b*x)*c*sgn(f) - pi*b^2 - 4*pi*(c*x^2 + b*x)*c)*(pi^2*sgn(f) - pi^2 + 2*log(abs(f))^2)/((pi^2*sgn(f) - pi^2 + 2*log(abs(f))^2)^2 + 4*(pi*log(abs(f))*sgn(f) - pi*log(abs(f)))^2) - 4*(b^2*log(abs(f)) + 4*(c*x^2 + b*x)*c*log(abs(f)) - 4*c)*(pi*log(abs(f))*sgn(f) - pi*log(abs(f)))/((pi^2*sgn(f) - pi^2 + 2*log(abs(f))^2)^2 + 4*(pi*log(abs(f))*sgn(f) - pi*log(abs(f)))^2))*sin(-1/2*pi*c*x^2*sgn(f) + 1/2*pi*c*x^2 - 1/2*pi*b*x*sgn(f) + 1/2*pi*b*x - 1/2*pi*a*sgn(f) + 1/2*pi*a))*e^((c*x^2 + b*x)*log(abs(f)) + a*log(abs(f))) - 1/2*((2*b^2*i*log(abs(f)) + 8*(c*x^2 + b*x)*c*i*log(abs(f)) - pi*b^2*sgn(f) - 4*pi*(c*x^2 + b*x)*c*sgn(f) + pi*b^2 + 4*pi*(c*x^2 + b*x)*c - 8*c*i)*e^(1/2*(pi*(c*x^2 + b*x)*(sgn(f) - 1) + pi*a*(sgn(f) - 1))*i)/(2*pi*i*log(abs(f))*sgn(f) - 2*pi*i*log(abs(f)) + pi^2*sgn(f) - pi^2 + 2*log(abs(f))^2) + (2*b^2*i*log(abs(f)) + 8*(c*x^2 + b*x)*c*i*log(abs(f)) + pi*b^2*sgn(f) + 4*pi*(c*x^2 + b*x)*c*sgn(f) - pi*b^2 - 4*pi*(c*x^2 + b*x)*c - 8*c*i)*e^(-1/2*(pi*(c*x^2 + b*x)*(sgn(f) - 1) + pi*a*(sgn(f) - 1))*i)/(2*pi*i*log(abs(f))*sgn(f) - 2*pi*i*log(abs(f)) - pi^2*sgn(f) + pi^2 - 2*log(abs(f))^2))*e^((c*x^2 + b*x)*log(abs(f)) + a*log(abs(f)))/i","B",0
451,1,88,0,0.449548," ","integrate(f^(c*x^2+b*x+a)*(2*c*x+b)^2,x, algorithm=""giac"")","\frac{c {\left(2 \, x + \frac{b}{c}\right)} e^{\left(c x^{2} \log\left(f\right) + b x \log\left(f\right) + a \log\left(f\right)\right)}}{\log\left(f\right)} + \frac{\sqrt{\pi} c \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b}{c}\right)}\right) e^{\left(-\frac{b^{2} \log\left(f\right) - 4 \, a c \log\left(f\right)}{4 \, c}\right)}}{\sqrt{-c \log\left(f\right)} \log\left(f\right)}"," ",0,"c*(2*x + b/c)*e^(c*x^2*log(f) + b*x*log(f) + a*log(f))/log(f) + sqrt(pi)*c*erf(-1/2*sqrt(-c*log(f))*(2*x + b/c))*e^(-1/4*(b^2*log(f) - 4*a*c*log(f))/c)/(sqrt(-c*log(f))*log(f))","A",0
452,1,17,0,0.378878," ","integrate(f^(c*x^2+b*x+a)*(2*c*x+b),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
456,1,726,0,0.528177," ","integrate(f^(c*x^2+b*x)*(2*c*x+b)^3,x, algorithm=""giac"")","{\left(2 \, {\left(\frac{{\left(b^{2} \log\left({\left| f \right|}\right) + 4 \, {\left(c x^{2} + b x\right)} c \log\left({\left| f \right|}\right) - 4 \, c\right)} {\left(\pi^{2} \mathrm{sgn}\left(f\right) - \pi^{2} + 2 \, \log\left({\left| f \right|}\right)^{2}\right)}}{{\left(\pi^{2} \mathrm{sgn}\left(f\right) - \pi^{2} + 2 \, \log\left({\left| f \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi \log\left({\left| f \right|}\right)\right)}^{2}} + \frac{{\left(\pi b^{2} \mathrm{sgn}\left(f\right) + 4 \, \pi {\left(c x^{2} + b x\right)} c \mathrm{sgn}\left(f\right) - \pi b^{2} - 4 \, \pi {\left(c x^{2} + b x\right)} c\right)} {\left(\pi \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi \log\left({\left| f \right|}\right)\right)}}{{\left(\pi^{2} \mathrm{sgn}\left(f\right) - \pi^{2} + 2 \, \log\left({\left| f \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi \log\left({\left| f \right|}\right)\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi c x^{2} \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi c x^{2} - \frac{1}{2} \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi b x\right) + {\left(\frac{{\left(\pi b^{2} \mathrm{sgn}\left(f\right) + 4 \, \pi {\left(c x^{2} + b x\right)} c \mathrm{sgn}\left(f\right) - \pi b^{2} - 4 \, \pi {\left(c x^{2} + b x\right)} c\right)} {\left(\pi^{2} \mathrm{sgn}\left(f\right) - \pi^{2} + 2 \, \log\left({\left| f \right|}\right)^{2}\right)}}{{\left(\pi^{2} \mathrm{sgn}\left(f\right) - \pi^{2} + 2 \, \log\left({\left| f \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi \log\left({\left| f \right|}\right)\right)}^{2}} - \frac{4 \, {\left(b^{2} \log\left({\left| f \right|}\right) + 4 \, {\left(c x^{2} + b x\right)} c \log\left({\left| f \right|}\right) - 4 \, c\right)} {\left(\pi \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi \log\left({\left| f \right|}\right)\right)}}{{\left(\pi^{2} \mathrm{sgn}\left(f\right) - \pi^{2} + 2 \, \log\left({\left| f \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi \log\left({\left| f \right|}\right)\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi c x^{2} \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi c x^{2} - \frac{1}{2} \, \pi b x \mathrm{sgn}\left(f\right) + \frac{1}{2} \, \pi b x\right)\right)} {\left| f \right|}^{c x^{2} + b x} - \frac{{\left| f \right|}^{c x^{2} + b x} {\left(\frac{{\left(2 \, b^{2} i \log\left({\left| f \right|}\right) + 8 \, {\left(c x^{2} + b x\right)} c i \log\left({\left| f \right|}\right) - \pi b^{2} \mathrm{sgn}\left(f\right) - 4 \, \pi {\left(c x^{2} + b x\right)} c \mathrm{sgn}\left(f\right) + \pi b^{2} + 4 \, \pi {\left(c x^{2} + b x\right)} c - 8 \, c i\right)} e^{\left(\frac{1}{2} \, \pi {\left(c x^{2} + b x\right)} i {\left(\mathrm{sgn}\left(f\right) - 1\right)}\right)}}{2 \, \pi i \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 2 \, \pi i \log\left({\left| f \right|}\right) + \pi^{2} \mathrm{sgn}\left(f\right) - \pi^{2} + 2 \, \log\left({\left| f \right|}\right)^{2}} + \frac{{\left(2 \, b^{2} i \log\left({\left| f \right|}\right) + 8 \, {\left(c x^{2} + b x\right)} c i \log\left({\left| f \right|}\right) + \pi b^{2} \mathrm{sgn}\left(f\right) + 4 \, \pi {\left(c x^{2} + b x\right)} c \mathrm{sgn}\left(f\right) - \pi b^{2} - 4 \, \pi {\left(c x^{2} + b x\right)} c - 8 \, c i\right)} e^{\left(-\frac{1}{2} \, \pi {\left(c x^{2} + b x\right)} i {\left(\mathrm{sgn}\left(f\right) - 1\right)}\right)}}{2 \, \pi i \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 2 \, \pi i \log\left({\left| f \right|}\right) - \pi^{2} \mathrm{sgn}\left(f\right) + \pi^{2} - 2 \, \log\left({\left| f \right|}\right)^{2}}\right)}}{2 \, i}"," ",0,"(2*((b^2*log(abs(f)) + 4*(c*x^2 + b*x)*c*log(abs(f)) - 4*c)*(pi^2*sgn(f) - pi^2 + 2*log(abs(f))^2)/((pi^2*sgn(f) - pi^2 + 2*log(abs(f))^2)^2 + 4*(pi*log(abs(f))*sgn(f) - pi*log(abs(f)))^2) + (pi*b^2*sgn(f) + 4*pi*(c*x^2 + b*x)*c*sgn(f) - pi*b^2 - 4*pi*(c*x^2 + b*x)*c)*(pi*log(abs(f))*sgn(f) - pi*log(abs(f)))/((pi^2*sgn(f) - pi^2 + 2*log(abs(f))^2)^2 + 4*(pi*log(abs(f))*sgn(f) - pi*log(abs(f)))^2))*cos(-1/2*pi*c*x^2*sgn(f) + 1/2*pi*c*x^2 - 1/2*pi*b*x*sgn(f) + 1/2*pi*b*x) + ((pi*b^2*sgn(f) + 4*pi*(c*x^2 + b*x)*c*sgn(f) - pi*b^2 - 4*pi*(c*x^2 + b*x)*c)*(pi^2*sgn(f) - pi^2 + 2*log(abs(f))^2)/((pi^2*sgn(f) - pi^2 + 2*log(abs(f))^2)^2 + 4*(pi*log(abs(f))*sgn(f) - pi*log(abs(f)))^2) - 4*(b^2*log(abs(f)) + 4*(c*x^2 + b*x)*c*log(abs(f)) - 4*c)*(pi*log(abs(f))*sgn(f) - pi*log(abs(f)))/((pi^2*sgn(f) - pi^2 + 2*log(abs(f))^2)^2 + 4*(pi*log(abs(f))*sgn(f) - pi*log(abs(f)))^2))*sin(-1/2*pi*c*x^2*sgn(f) + 1/2*pi*c*x^2 - 1/2*pi*b*x*sgn(f) + 1/2*pi*b*x))*abs(f)^(c*x^2 + b*x) - 1/2*abs(f)^(c*x^2 + b*x)*((2*b^2*i*log(abs(f)) + 8*(c*x^2 + b*x)*c*i*log(abs(f)) - pi*b^2*sgn(f) - 4*pi*(c*x^2 + b*x)*c*sgn(f) + pi*b^2 + 4*pi*(c*x^2 + b*x)*c - 8*c*i)*e^(1/2*pi*(c*x^2 + b*x)*i*(sgn(f) - 1))/(2*pi*i*log(abs(f))*sgn(f) - 2*pi*i*log(abs(f)) + pi^2*sgn(f) - pi^2 + 2*log(abs(f))^2) + (2*b^2*i*log(abs(f)) + 8*(c*x^2 + b*x)*c*i*log(abs(f)) + pi*b^2*sgn(f) + 4*pi*(c*x^2 + b*x)*c*sgn(f) - pi*b^2 - 4*pi*(c*x^2 + b*x)*c - 8*c*i)*e^(-1/2*pi*(c*x^2 + b*x)*i*(sgn(f) - 1))/(2*pi*i*log(abs(f))*sgn(f) - 2*pi*i*log(abs(f)) - pi^2*sgn(f) + pi^2 - 2*log(abs(f))^2))/i","B",0
457,1,77,0,0.456216," ","integrate(f^(c*x^2+b*x)*(2*c*x+b)^2,x, algorithm=""giac"")","\frac{c {\left(2 \, x + \frac{b}{c}\right)} e^{\left(c x^{2} \log\left(f\right) + b x \log\left(f\right)\right)}}{\log\left(f\right)} + \frac{\sqrt{\pi} c \operatorname{erf}\left(-\frac{1}{2} \, \sqrt{-c \log\left(f\right)} {\left(2 \, x + \frac{b}{c}\right)}\right)}{\sqrt{-c \log\left(f\right)} f^{\frac{b^{2}}{4 \, c}} \log\left(f\right)}"," ",0,"c*(2*x + b/c)*e^(c*x^2*log(f) + b*x*log(f))/log(f) + sqrt(pi)*c*erf(-1/2*sqrt(-c*log(f))*(2*x + b/c))/(sqrt(-c*log(f))*f^(1/4*b^2/c)*log(f))","A",0
458,1,16,0,0.301486," ","integrate(f^(c*x^2+b*x)*(2*c*x+b),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\int \frac{x e^{\left(b x + a\right)}}{d x^{2} + c}\,{d x}"," ",0,"integrate(x*e^(b*x + a)/(d*x^2 + c), x)","F",0
466,0,0,0,0.000000," ","integrate(exp(b*x+a)*x^2/(d*x^2+c),x, algorithm=""giac"")","\int \frac{x^{2} e^{\left(b x + a\right)}}{d x^{2} + c}\,{d x}"," ",0,"integrate(x^2*e^(b*x + a)/(d*x^2 + c), x)","F",0
467,0,0,0,0.000000," ","integrate(exp(e*x+d)/x^2/(c*x^2+b*x+a),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\int \frac{x e^{\left(e x + d\right)}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate(x*e^(e*x + d)/(c*x^2 + b*x + a), x)","F",0
471,0,0,0,0.000000," ","integrate(exp(e*x+d)*x^2/(c*x^2+b*x+a),x, algorithm=""giac"")","\int \frac{x^{2} e^{\left(e x + d\right)}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate(x^2*e^(e*x + d)/(c*x^2 + b*x + a), x)","F",0
472,0,0,0,0.000000," ","integrate(exp(e*x+d)*x^3/(c*x^2+b*x+a),x, algorithm=""giac"")","\int \frac{x^{3} e^{\left(e x + d\right)}}{c x^{2} + b x + a}\,{d x}"," ",0,"integrate(x^3*e^(e*x + d)/(c*x^2 + b*x + a), x)","F",0
473,0,0,0,0.000000," ","integrate(4^x/(a+2^x*b),x, algorithm=""giac"")","\int \frac{4^{x}}{2^{x} b + a}\,{d x}"," ",0,"integrate(4^x/(2^x*b + a), x)","F",0
474,1,31,0,0.302693," ","integrate(2^(2*x)/(a+2^x*b),x, algorithm=""giac"")","\frac{2^{x}}{b \log\left(2\right)} - \frac{a \log\left({\left| 2^{x} b + a \right|}\right)}{b^{2} \log\left(2\right)}"," ",0,"2^x/(b*log(2)) - a*log(abs(2^x*b + a))/(b^2*log(2))","A",0
475,0,0,0,0.000000," ","integrate(4^x/(a-2^x*b),x, algorithm=""giac"")","\int -\frac{4^{x}}{2^{x} b - a}\,{d x}"," ",0,"integrate(-4^x/(2^x*b - a), x)","F",0
476,1,34,0,0.399066," ","integrate(2^(2*x)/(a-2^x*b),x, algorithm=""giac"")","-\frac{2^{x}}{b \log\left(2\right)} - \frac{a \log\left({\left| 2^{x} b - a \right|}\right)}{b^{2} \log\left(2\right)}"," ",0,"-2^x/(b*log(2)) - a*log(abs(2^x*b - a))/(b^2*log(2))","A",0
477,0,0,0,0.000000," ","integrate(4^x/(a+b/(2^x)),x, algorithm=""giac"")","\int \frac{4^{x}}{a + \frac{b}{2^{x}}}\,{d x}"," ",0,"integrate(4^x/(a + b/2^x), x)","F",0
478,1,48,0,0.391487," ","integrate(2^(2*x)/(a+b/(2^x)),x, algorithm=""giac"")","\frac{b^{2} \log\left({\left| 2^{x} a + b \right|}\right)}{a^{3} \log\left(2\right)} + \frac{2^{2 \, x} a \log\left(2\right) - 2 \cdot 2^{x} b \log\left(2\right)}{2 \, a^{2} \log\left(2\right)^{2}}"," ",0,"b^2*log(abs(2^x*a + b))/(a^3*log(2)) + 1/2*(2^(2*x)*a*log(2) - 2*2^x*b*log(2))/(a^2*log(2)^2)","A",0
479,0,0,0,0.000000," ","integrate(4^x/(a-b/(2^x)),x, algorithm=""giac"")","\int \frac{4^{x}}{a - \frac{b}{2^{x}}}\,{d x}"," ",0,"integrate(4^x/(a - b/2^x), x)","F",0
480,1,50,0,0.384107," ","integrate(2^(2*x)/(a-b/(2^x)),x, algorithm=""giac"")","\frac{b^{2} \log\left({\left| 2^{x} a - b \right|}\right)}{a^{3} \log\left(2\right)} + \frac{2^{2 \, x} a \log\left(2\right) + 2 \cdot 2^{x} b \log\left(2\right)}{2 \, a^{2} \log\left(2\right)^{2}}"," ",0,"b^2*log(abs(2^x*a - b))/(a^3*log(2)) + 1/2*(2^(2*x)*a*log(2) + 2*2^x*b*log(2))/(a^2*log(2)^2)","A",0
481,0,0,0,0.000000," ","integrate(2^x/(a+4^x*b),x, algorithm=""giac"")","\int \frac{2^{x}}{4^{x} b + a}\,{d x}"," ",0,"integrate(2^x/(4^x*b + a), x)","F",0
482,1,21,0,0.330713," ","integrate(2^x/(a+2^(2*x)*b),x, algorithm=""giac"")","\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
483,0,0,0,0.000000," ","integrate(2^x/(a-4^x*b),x, algorithm=""giac"")","\int -\frac{2^{x}}{4^{x} b - a}\,{d x}"," ",0,"integrate(-2^x/(4^x*b - a), x)","F",0
484,1,24,0,0.360854," ","integrate(2^x/(a-2^(2*x)*b),x, algorithm=""giac"")","-\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
485,0,0,0,0.000000," ","integrate(2^x/(a+b/(4^x)),x, algorithm=""giac"")","\int \frac{2^{x}}{a + \frac{b}{4^{x}}}\,{d x}"," ",0,"integrate(2^x/(a + b/4^x), x)","F",0
486,1,38,0,0.389717," ","integrate(2^x/(a+b/(2^(2*x))),x, algorithm=""giac"")","-\frac{b \arctan\left(\frac{2^{x} a}{\sqrt{a b}}\right)}{\sqrt{a b} a \log\left(2\right)} + \frac{2^{x}}{a \log\left(2\right)}"," ",0,"-b*arctan(2^x*a/sqrt(a*b))/(sqrt(a*b)*a*log(2)) + 2^x/(a*log(2))","A",0
487,0,0,0,0.000000," ","integrate(2^x/(a-b/(4^x)),x, algorithm=""giac"")","\int \frac{2^{x}}{a - \frac{b}{4^{x}}}\,{d x}"," ",0,"integrate(2^x/(a - b/4^x), x)","F",0
488,1,39,0,0.262745," ","integrate(2^x/(a-b/(2^(2*x))),x, algorithm=""giac"")","\frac{b \arctan\left(\frac{2^{x} a}{\sqrt{-a b}}\right)}{\sqrt{-a b} a \log\left(2\right)} + \frac{2^{x}}{a \log\left(2\right)}"," ",0,"b*arctan(2^x*a/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=""giac"")","\int \frac{2^{x}}{\sqrt{4^{x} b + a}}\,{d x}"," ",0,"integrate(2^x/sqrt(4^x*b + a), x)","F",0
490,1,31,0,0.630668," ","integrate(2^x/(a+2^(2*x)*b)^(1/2),x, algorithm=""giac"")","-\frac{\log\left({\left| -2^{x} \sqrt{b} + \sqrt{2^{2 \, x} b + a} \right|}\right)}{\sqrt{b} \log\left(2\right)}"," ",0,"-log(abs(-2^x*sqrt(b) + sqrt(2^(2*x)*b + a)))/(sqrt(b)*log(2))","A",0
491,0,0,0,0.000000," ","integrate(2^x/(a-4^x*b)^(1/2),x, algorithm=""giac"")","\int \frac{2^{x}}{\sqrt{-4^{x} b + a}}\,{d x}"," ",0,"integrate(2^x/sqrt(-4^x*b + a), x)","F",0
492,1,36,0,0.607517," ","integrate(2^x/(a-2^(2*x)*b)^(1/2),x, algorithm=""giac"")","-\frac{\log\left({\left| -2^{x} \sqrt{-b} + \sqrt{-2^{2 \, x} b + a} \right|}\right)}{\sqrt{-b} \log\left(2\right)}"," ",0,"-log(abs(-2^x*sqrt(-b) + sqrt(-2^(2*x)*b + a)))/(sqrt(-b)*log(2))","A",0
493,0,0,0,0.000000," ","integrate(2^x/(a+b/(4^x))^(1/2),x, algorithm=""giac"")","\int \frac{2^{x}}{\sqrt{a + \frac{b}{4^{x}}}}\,{d x}"," ",0,"integrate(2^x/sqrt(a + b/4^x), x)","F",0
494,1,29,0,0.430945," ","integrate(2^x/(a+b/(2^(2*x)))^(1/2),x, algorithm=""giac"")","\frac{\frac{\sqrt{2^{2 \, x} a + b}}{a} - \frac{\sqrt{b}}{a}}{\log\left(2\right)}"," ",0,"(sqrt(2^(2*x)*a + b)/a - sqrt(b)/a)/log(2)","A",0
495,0,0,0,0.000000," ","integrate(2^x/(a-b/(4^x))^(1/2),x, algorithm=""giac"")","\int \frac{2^{x}}{\sqrt{a - \frac{b}{4^{x}}}}\,{d x}"," ",0,"integrate(2^x/sqrt(a - b/4^x), x)","F",0
496,1,33,0,0.410063," ","integrate(2^x/(a-b/(2^(2*x)))^(1/2),x, algorithm=""giac"")","\frac{\frac{\sqrt{2^{2 \, x} a - b}}{a} - \frac{\sqrt{-b}}{a}}{\log\left(2\right)}"," ",0,"(sqrt(2^(2*x)*a - b)/a - sqrt(-b)/a)/log(2)","A",0
497,0,0,0,0.000000," ","integrate(4^x/(a+2^x*b)^(1/2),x, algorithm=""giac"")","\int \frac{4^{x}}{\sqrt{2^{x} b + a}}\,{d x}"," ",0,"integrate(4^x/sqrt(2^x*b + a), x)","F",0
498,1,31,0,0.279320," ","integrate(2^(2*x)/(a+2^x*b)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(2^{x} b + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{2^{x} b + a} a\right)}}{3 \, b^{2} \log\left(2\right)}"," ",0,"2/3*((2^x*b + a)^(3/2) - 3*sqrt(2^x*b + a)*a)/(b^2*log(2))","A",0
499,0,0,0,0.000000," ","integrate(4^x/(a-2^x*b)^(1/2),x, algorithm=""giac"")","\int \frac{4^{x}}{\sqrt{-2^{x} b + a}}\,{d x}"," ",0,"integrate(4^x/sqrt(-2^x*b + a), x)","F",0
500,1,33,0,0.444906," ","integrate(2^(2*x)/(a-2^x*b)^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left({\left(-2^{x} b + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{-2^{x} b + a} a\right)}}{3 \, b^{2} \log\left(2\right)}"," ",0,"2/3*((-2^x*b + a)^(3/2) - 3*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=""giac"")","\int \frac{4^{x}}{\sqrt{a + \frac{b}{2^{x}}}}\,{d x}"," ",0,"integrate(4^x/sqrt(a + b/2^x), x)","F",0
502,1,94,0,0.635195," ","integrate(2^(2*x)/(a+b/(2^x))^(1/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{2^{2 \, x} a + 2^{x} b} {\left(\frac{2 \cdot 2^{x}}{a} - \frac{3 \, b}{a^{2}}\right)} - \frac{3 \, b^{2} \log\left({\left| -2 \, {\left(2^{x} \sqrt{a} - \sqrt{2^{2 \, x} a + 2^{x} b}\right)} \sqrt{a} - b \right|}\right)}{a^{\frac{5}{2}}} + \frac{3 \, b^{2} \log\left({\left| b \right|}\right)}{a^{\frac{5}{2}}}}{8 \, \log\left(2\right)}"," ",0,"1/8*(2*sqrt(2^(2*x)*a + 2^x*b)*(2*2^x/a - 3*b/a^2) - 3*b^2*log(abs(-2*(2^x*sqrt(a) - sqrt(2^(2*x)*a + 2^x*b))*sqrt(a) - b))/a^(5/2) + 3*b^2*log(abs(b))/a^(5/2))/log(2)","A",0
503,0,0,0,0.000000," ","integrate(4^x/(a-b/(2^x))^(1/2),x, algorithm=""giac"")","\int \frac{4^{x}}{\sqrt{a - \frac{b}{2^{x}}}}\,{d x}"," ",0,"integrate(4^x/sqrt(a - b/2^x), x)","F",0
504,1,96,0,0.469332," ","integrate(2^(2*x)/(a-b/(2^x))^(1/2),x, algorithm=""giac"")","\frac{2 \, \sqrt{2^{2 \, x} a - 2^{x} b} {\left(\frac{2 \cdot 2^{x}}{a} + \frac{3 \, b}{a^{2}}\right)} - \frac{3 \, b^{2} \log\left({\left| 2 \, {\left(2^{x} \sqrt{a} - \sqrt{2^{2 \, x} a - 2^{x} b}\right)} \sqrt{a} - b \right|}\right)}{a^{\frac{5}{2}}} + \frac{3 \, b^{2} \log\left({\left| b \right|}\right)}{a^{\frac{5}{2}}}}{8 \, \log\left(2\right)}"," ",0,"1/8*(2*sqrt(2^(2*x)*a - 2^x*b)*(2*2^x/a + 3*b/a^2) - 3*b^2*log(abs(2*(2^x*sqrt(a) - sqrt(2^(2*x)*a - 2^x*b))*sqrt(a) - b))/a^(5/2) + 3*b^2*log(abs(b))/a^(5/2))/log(2)","A",0
505,1,15,0,0.238205," ","integrate(1/(1+2*exp(x)+exp(2*x)),x, algorithm=""giac"")","x + \frac{1}{e^{x} + 1} - \log\left(e^{x} + 1\right)"," ",0,"x + 1/(e^x + 1) - log(e^x + 1)","A",0
506,1,18,0,0.374874," ","integrate(1/(2+3*exp(x)+exp(2*x)),x, algorithm=""giac"")","\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
507,1,46,0,0.363514," ","integrate(1/(-1+exp(x)+exp(2*x)),x, algorithm=""giac"")","\frac{1}{10} \, \sqrt{5} \log\left(\frac{{\left| -\sqrt{5} + 2 \, e^{x} + 1 \right|}}{\sqrt{5} + 2 \, e^{x} + 1}\right) - x + \frac{1}{2} \, \log\left({\left| e^{\left(2 \, x\right)} + e^{x} - 1 \right|}\right)"," ",0,"1/10*sqrt(5)*log(abs(-sqrt(5) + 2*e^x + 1)/(sqrt(5) + 2*e^x + 1)) - x + 1/2*log(abs(e^(2*x) + e^x - 1))","A",0
508,1,34,0,0.288696," ","integrate(1/(3+3*exp(x)+exp(2*x)),x, algorithm=""giac"")","-\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
509,1,63,0,0.337828," ","integrate(1/(a+b*exp(x)+c*exp(2*x)),x, algorithm=""giac"")","-\frac{b \arctan\left(\frac{2 \, c e^{x} + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{\sqrt{-b^{2} + 4 \, a c} a} + \frac{x}{a} - \frac{\log\left(c e^{\left(2 \, x\right)} + b e^{x} + a\right)}{2 \, a}"," ",0,"-b*arctan((2*c*e^x + b)/sqrt(-b^2 + 4*a*c))/(sqrt(-b^2 + 4*a*c)*a) + x/a - 1/2*log(c*e^(2*x) + b*e^x + a)/a","A",0
510,0,0,0,0.000000," ","integrate(x/(1+2*exp(x)+exp(2*x)),x, algorithm=""giac"")","\int \frac{x}{e^{\left(2 \, x\right)} + 2 \, e^{x} + 1}\,{d x}"," ",0,"integrate(x/(e^(2*x) + 2*e^x + 1), x)","F",0
511,0,0,0,0.000000," ","integrate(x/(2+3*exp(x)+exp(2*x)),x, algorithm=""giac"")","\int \frac{x}{e^{\left(2 \, x\right)} + 3 \, e^{x} + 2}\,{d x}"," ",0,"integrate(x/(e^(2*x) + 3*e^x + 2), x)","F",0
512,0,0,0,0.000000," ","integrate(x/(-1+exp(x)+exp(2*x)),x, algorithm=""giac"")","\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=""giac"")","\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
514,0,0,0,0.000000," ","integrate(x/(a+b*exp(x)+c*exp(2*x)),x, algorithm=""giac"")","\int \frac{x}{c e^{\left(2 \, x\right)} + b e^{x} + a}\,{d x}"," ",0,"integrate(x/(c*e^(2*x) + b*e^x + a), x)","F",0
515,0,0,0,0.000000," ","integrate(x^2/(1+2*exp(x)+exp(2*x)),x, algorithm=""giac"")","\int \frac{x^{2}}{e^{\left(2 \, x\right)} + 2 \, e^{x} + 1}\,{d x}"," ",0,"integrate(x^2/(e^(2*x) + 2*e^x + 1), x)","F",0
516,0,0,0,0.000000," ","integrate(x^2/(2+3*exp(x)+exp(2*x)),x, algorithm=""giac"")","\int \frac{x^{2}}{e^{\left(2 \, x\right)} + 3 \, e^{x} + 2}\,{d x}"," ",0,"integrate(x^2/(e^(2*x) + 3*e^x + 2), x)","F",0
517,0,0,0,0.000000," ","integrate(x^2/(-1+exp(x)+exp(2*x)),x, algorithm=""giac"")","\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=""giac"")","\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
519,0,0,0,0.000000," ","integrate(x^2/(a+b*exp(x)+c*exp(2*x)),x, algorithm=""giac"")","\int \frac{x^{2}}{c e^{\left(2 \, x\right)} + b e^{x} + a}\,{d x}"," ",0,"integrate(x^2/(c*e^(2*x) + b*e^x + a), x)","F",0
520,-2,0,0,0.000000," ","integrate(1/(1+2*f^(d*x+c)+f^(2*d*x+2*c)),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: Undef/Unsigned Inf encountered in limitUndef/Unsigned Inf encountered in limitUndef/Unsigned Inf encountered in limit1/d/ln(f)*ln(abs(f)^(d*x)*abs(f)^c)-1/d/ln(f)*ln(abs(f^(d*x)*f^c+1))+1/ln(f)/d/(f^(d*x)*f^c+1)","F(-2)",0
521,1,114,0,0.307944," ","integrate(1/(a+b*f^(d*x+c)+c*f^(2*d*x+2*c)),x, algorithm=""giac"")","-\frac{b \arctan\left(\frac{2 \, c f^{d x} f^{c} + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{\sqrt{-b^{2} + 4 \, a c} a d \log\left(f\right)} - \frac{\log\left(c f^{2 \, d x} f^{2 \, c} + b f^{d x} f^{c} + a\right)}{2 \, a d \log\left(f\right)} + \frac{\log\left({\left| f \right|}^{d x} {\left| f \right|}^{c}\right)}{a d \log\left(f\right)}"," ",0,"-b*arctan((2*c*f^(d*x)*f^c + b)/sqrt(-b^2 + 4*a*c))/(sqrt(-b^2 + 4*a*c)*a*d*log(f)) - 1/2*log(c*f^(2*d*x)*f^(2*c) + b*f^(d*x)*f^c + a)/(a*d*log(f)) + log(abs(f)^(d*x)*abs(f)^c)/(a*d*log(f))","A",0
522,1,114,0,0.429082," ","integrate(1/(a+b*f^(h*x+g)+c*f^(2*h*x+2*g)),x, algorithm=""giac"")","-\frac{b \arctan\left(\frac{2 \, c f^{h x} f^{g} + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{\sqrt{-b^{2} + 4 \, a c} a h \log\left(f\right)} - \frac{\log\left(c f^{2 \, h x} f^{2 \, g} + b f^{h x} f^{g} + a\right)}{2 \, a h \log\left(f\right)} + \frac{\log\left({\left| f \right|}^{h x} {\left| f \right|}^{g}\right)}{a h \log\left(f\right)}"," ",0,"-b*arctan((2*c*f^(h*x)*f^g + b)/sqrt(-b^2 + 4*a*c))/(sqrt(-b^2 + 4*a*c)*a*h*log(f)) - 1/2*log(c*f^(2*h*x)*f^(2*g) + b*f^(h*x)*f^g + a)/(a*h*log(f)) + log(abs(f)^(h*x)*abs(f)^g)/(a*h*log(f))","A",0
523,0,0,0,0.000000," ","integrate(x/(1+2*f^(d*x+c)+f^(2*d*x+2*c)),x, algorithm=""giac"")","\int \frac{x}{f^{2 \, d x + 2 \, c} + 2 \, f^{d x + c} + 1}\,{d x}"," ",0,"integrate(x/(f^(2*d*x + 2*c) + 2*f^(d*x + c) + 1), x)","F",0
524,0,0,0,0.000000," ","integrate(x/(a+b*f^(d*x+c)+c*f^(2*d*x+2*c)),x, algorithm=""giac"")","\int \frac{x}{c f^{2 \, d x + 2 \, c} + b f^{d x + c} + a}\,{d x}"," ",0,"integrate(x/(c*f^(2*d*x + 2*c) + b*f^(d*x + c) + a), x)","F",0
525,0,0,0,0.000000," ","integrate(x^2/(1+2*f^(d*x+c)+f^(2*d*x+2*c)),x, algorithm=""giac"")","\int \frac{x^{2}}{f^{2 \, d x + 2 \, c} + 2 \, f^{d x + c} + 1}\,{d x}"," ",0,"integrate(x^2/(f^(2*d*x + 2*c) + 2*f^(d*x + c) + 1), x)","F",0
526,0,0,0,0.000000," ","integrate(x^2/(a+b*f^(d*x+c)+c*f^(2*d*x+2*c)),x, algorithm=""giac"")","\int \frac{x^{2}}{c f^{2 \, d x + 2 \, c} + b f^{d x + c} + a}\,{d x}"," ",0,"integrate(x^2/(c*f^(2*d*x + 2*c) + b*f^(d*x + c) + a), x)","F",0
527,1,124,0,0.442276," ","integrate((d+e*f^(h*x+g))/(a+b*f^(h*x+g)+c*f^(2*h*x+2*g)),x, algorithm=""giac"")","-\frac{d \log\left(c f^{2 \, h x} f^{2 \, g} + b f^{h x} f^{g} + a\right)}{2 \, a h \log\left(f\right)} + \frac{d \log\left({\left| f \right|}^{h x} {\left| f \right|}^{g}\right)}{a h \log\left(f\right)} - \frac{{\left(b d - 2 \, a e\right)} \arctan\left(\frac{2 \, c f^{h x} f^{g} + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{\sqrt{-b^{2} + 4 \, a c} a h \log\left(f\right)}"," ",0,"-1/2*d*log(c*f^(2*h*x)*f^(2*g) + b*f^(h*x)*f^g + a)/(a*h*log(f)) + d*log(abs(f)^(h*x)*abs(f)^g)/(a*h*log(f)) - (b*d - 2*a*e)*arctan((2*c*f^(h*x)*f^g + b)/sqrt(-b^2 + 4*a*c))/(sqrt(-b^2 + 4*a*c)*a*h*log(f))","A",0
528,1,124,0,0.487519," ","integrate((d+e*f^(h*x+g))/(a+b*f^(h*x+g)+c*f^(2*h*x+2*g)),x, algorithm=""giac"")","-\frac{d \log\left(c f^{2 \, h x} f^{2 \, g} + b f^{h x} f^{g} + a\right)}{2 \, a h \log\left(f\right)} + \frac{d \log\left({\left| f \right|}^{h x} {\left| f \right|}^{g}\right)}{a h \log\left(f\right)} - \frac{{\left(b d - 2 \, a e\right)} \arctan\left(\frac{2 \, c f^{h x} f^{g} + b}{\sqrt{-b^{2} + 4 \, a c}}\right)}{\sqrt{-b^{2} + 4 \, a c} a h \log\left(f\right)}"," ",0,"-1/2*d*log(c*f^(2*h*x)*f^(2*g) + b*f^(h*x)*f^g + a)/(a*h*log(f)) + d*log(abs(f)^(h*x)*abs(f)^g)/(a*h*log(f)) - (b*d - 2*a*e)*arctan((2*c*f^(h*x)*f^g + b)/sqrt(-b^2 + 4*a*c))/(sqrt(-b^2 + 4*a*c)*a*h*log(f))","A",0
529,1,8,0,0.308145," ","integrate(1/(2+exp(-x)+exp(x)),x, algorithm=""giac"")","-\frac{1}{e^{x} + 1}"," ",0,"-1/(e^x + 1)","A",0
530,1,28,0,0.292605," ","integrate(x/(2+exp(-x)+exp(x)),x, algorithm=""giac"")","\frac{x e^{x} - e^{x} \log\left(e^{x} + 1\right) - \log\left(e^{x} + 1\right)}{e^{x} + 1}"," ",0,"(x*e^x - e^x*log(e^x + 1) - log(e^x + 1))/(e^x + 1)","A",0
531,0,0,0,0.000000," ","integrate(x^2/(2+exp(-x)+exp(x)),x, algorithm=""giac"")","\int \frac{x^{2}}{e^{\left(-x\right)} + e^{x} + 2}\,{d x}"," ",0,"integrate(x^2/(e^(-x) + e^x + 2), x)","F",0
532,1,22,0,0.376176," ","integrate(1/(2+f^(-d*x-c)+f^(d*x+c)),x, algorithm=""giac"")","-\frac{1}{{\left(f^{d x} f^{c} + 1\right)} d \log\left(f\right)}"," ",0,"-1/((f^(d*x)*f^c + 1)*d*log(f))","A",0
533,0,0,0,0.000000," ","integrate(x/(2+f^(-d*x-c)+f^(d*x+c)),x, algorithm=""giac"")","\int \frac{x}{f^{d x + c} + f^{-d x - c} + 2}\,{d x}"," ",0,"integrate(x/(f^(d*x + c) + f^(-d*x - c) + 2), x)","F",0
534,0,0,0,0.000000," ","integrate(x^2/(2+f^(-d*x-c)+f^(d*x+c)),x, algorithm=""giac"")","\int \frac{x^{2}}{f^{d x + c} + f^{-d x - c} + 2}\,{d x}"," ",0,"integrate(x^2/(f^(d*x + c) + f^(-d*x - c) + 2), x)","F",0
535,1,13,0,0.317554," ","integrate(1/(2+1/(3^x)+3^x),x, algorithm=""giac"")","-\frac{1}{{\left(3^{x} + 1\right)} \log\left(3\right)}"," ",0,"-1/((3^x + 1)*log(3))","A",0
536,1,18,0,0.290798," ","integrate(1/(1-1/exp(x)+2*exp(x)),x, algorithm=""giac"")","-\frac{1}{3} \, \log\left(e^{x} + 1\right) + \frac{1}{3} \, \log\left({\left| 2 \, e^{x} - 1 \right|}\right)"," ",0,"-1/3*log(e^x + 1) + 1/3*log(abs(2*e^x - 1))","A",0
537,1,35,0,0.254107," ","integrate(1/(a+b/exp(x)+c*exp(x)),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{2 \, c e^{x} + a}{\sqrt{-a^{2} + 4 \, b c}}\right)}{\sqrt{-a^{2} + 4 \, b c}}"," ",0,"2*arctan((2*c*e^x + a)/sqrt(-a^2 + 4*b*c))/sqrt(-a^2 + 4*b*c)","A",0
538,0,0,0,0.000000," ","integrate(x/(a+b/exp(x)+c*exp(x)),x, algorithm=""giac"")","\int \frac{x}{b e^{\left(-x\right)} + c e^{x} + a}\,{d x}"," ",0,"integrate(x/(b*e^(-x) + c*e^x + a), x)","F",0
539,0,0,0,0.000000," ","integrate(x^2/(a+b/exp(x)+c*exp(x)),x, algorithm=""giac"")","\int \frac{x^{2}}{b e^{\left(-x\right)} + c e^{x} + a}\,{d x}"," ",0,"integrate(x^2/(b*e^(-x) + c*e^x + a), x)","F",0
540,1,48,0,0.396896," ","integrate(1/(a+b*f^(-d*x-c)+c*f^(d*x+c)),x, algorithm=""giac"")","\frac{2 \, \arctan\left(\frac{2 \, c f^{d x} f^{c} + a}{\sqrt{-a^{2} + 4 \, b c}}\right)}{\sqrt{-a^{2} + 4 \, b c} d \log\left(f\right)}"," ",0,"2*arctan((2*c*f^(d*x)*f^c + a)/sqrt(-a^2 + 4*b*c))/(sqrt(-a^2 + 4*b*c)*d*log(f))","A",0
541,0,0,0,0.000000," ","integrate(x/(a+b*f^(-d*x-c)+c*f^(d*x+c)),x, algorithm=""giac"")","\int \frac{x}{c f^{d x + c} + b f^{-d x - c} + a}\,{d x}"," ",0,"integrate(x/(c*f^(d*x + c) + b*f^(-d*x - c) + a), x)","F",0
542,0,0,0,0.000000," ","integrate(x^2/(a+b*f^(-d*x-c)+c*f^(d*x+c)),x, algorithm=""giac"")","\int \frac{x^{2}}{c f^{d x + c} + b f^{-d x - c} + a}\,{d x}"," ",0,"integrate(x^2/(c*f^(d*x + c) + b*f^(-d*x - c) + a), x)","F",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=""giac"")","\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=""giac"")","\int \frac{{\left(F^{\frac{\sqrt{e x + d} c}{\sqrt{g x + f}}} b + a\right)}^{3}}{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)^3/(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=""giac"")","\int \frac{{\left(F^{\frac{\sqrt{e x + d} c}{\sqrt{g x + f}}} b + a\right)}^{2}}{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)^2/(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=""giac"")","\int \frac{F^{\frac{\sqrt{e x + d} c}{\sqrt{g x + f}}} b + a}{e g x^{2} + d f + {\left(e f + d g\right)} x}\,{d x}"," ",0,"integrate((F^(sqrt(e*x + d)*c/sqrt(g*x + f))*b + a)/(e*g*x^2 + d*f + (e*f + d*g)*x), x)","F",0
547,1,49,0,0.286668," ","integrate(1/(d*f+(d*g+e*f)*x+e*g*x^2),x, algorithm=""giac"")","\frac{g \log\left({\left| g x + f \right|}\right)}{d g^{2} - f g e} - \frac{e \log\left({\left| x e + d \right|}\right)}{d g e - f e^{2}}"," ",0,"g*log(abs(g*x + f))/(d*g^2 - f*g*e) - e*log(abs(x*e + d))/(d*g*e - f*e^2)","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=""giac"")","\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=""giac"")","\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)}^{2}}\,{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)^2), 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=""giac"")","\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,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
552,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",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=""giac"")","\int -\frac{F^{\frac{\sqrt{e x + d} c}{\sqrt{-e f x + d f}}} b + a}{e^{2} x^{2} - d^{2}}\,{d x}"," ",0,"integrate(-(F^(sqrt(e*x + d)*c/sqrt(-e*f*x + d*f))*b + a)/(e^2*x^2 - d^2), x)","F",0
554,1,38,0,0.459683," ","integrate(1/(-e^2*x^2+d^2),x, algorithm=""giac"")","-\frac{e^{\left(-1\right)} \log\left(\frac{{\left| 2 \, x e^{2} - 2 \, {\left| d \right|} e \right|}}{{\left| 2 \, x e^{2} + 2 \, {\left| d \right|} e \right|}}\right)}{2 \, {\left| d \right|}}"," ",0,"-1/2*e^(-1)*log(abs(2*x*e^2 - 2*abs(d)*e)/abs(2*x*e^2 + 2*abs(d)*e))/abs(d)","B",0
555,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
556,-1,0,0,0.000000," ","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=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
563,1,2679,0,0.848639," ","integrate(a^x*b^x*x^2,x, algorithm=""giac"")","{\left({\left(\frac{2 \, {\left(\pi x^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) + \pi x^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) + \pi x^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(b\right) + \pi x^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) - 2 \, \pi x^{2} \log\left({\left| a \right|}\right) - 2 \, \pi x^{2} \log\left({\left| b \right|}\right) - \pi x \mathrm{sgn}\left(a\right) - \pi x \mathrm{sgn}\left(b\right) + 2 \, \pi x\right)} {\left(3 \, \pi^{3} \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 4 \, \pi^{3} \mathrm{sgn}\left(a\right) + 3 \, \pi \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(a\right) + 6 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) + 3 \, \pi \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(a\right) - 4 \, \pi^{3} \mathrm{sgn}\left(b\right) + 3 \, \pi \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(b\right) + 6 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) + 3 \, \pi \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(b\right) + 5 \, \pi^{3} - 6 \, \pi \log\left({\left| a \right|}\right)^{2} - 12 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) - 6 \, \pi \log\left({\left| b \right|}\right)^{2}\right)}}{{\left(3 \, \pi^{3} \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 4 \, \pi^{3} \mathrm{sgn}\left(a\right) + 3 \, \pi \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(a\right) + 6 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) + 3 \, \pi \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(a\right) - 4 \, \pi^{3} \mathrm{sgn}\left(b\right) + 3 \, \pi \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(b\right) + 6 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) + 3 \, \pi \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(b\right) + 5 \, \pi^{3} - 6 \, \pi \log\left({\left| a \right|}\right)^{2} - 12 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) - 6 \, \pi \log\left({\left| b \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) + 3 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 6 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) - 6 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) - 6 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(b\right) - 6 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) + 9 \, \pi^{2} \log\left({\left| a \right|}\right) - 2 \, \log\left({\left| a \right|}\right)^{3} + 9 \, \pi^{2} \log\left({\left| b \right|}\right) - 6 \, \log\left({\left| a \right|}\right)^{2} \log\left({\left| b \right|}\right) - 6 \, \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right)^{2} - 2 \, \log\left({\left| b \right|}\right)^{3}\right)}^{2}} + \frac{{\left(\pi^{2} x^{2} \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 2 \, \pi^{2} x^{2} \mathrm{sgn}\left(a\right) - 2 \, \pi^{2} x^{2} \mathrm{sgn}\left(b\right) + 3 \, \pi^{2} x^{2} - 2 \, x^{2} \log\left({\left| a \right|}\right)^{2} - 4 \, x^{2} \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) - 2 \, x^{2} \log\left({\left| b \right|}\right)^{2} + 4 \, x \log\left({\left| a \right|}\right) + 4 \, x \log\left({\left| b \right|}\right) - 4\right)} {\left(3 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) + 3 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 6 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) - 6 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) - 6 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(b\right) - 6 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) + 9 \, \pi^{2} \log\left({\left| a \right|}\right) - 2 \, \log\left({\left| a \right|}\right)^{3} + 9 \, \pi^{2} \log\left({\left| b \right|}\right) - 6 \, \log\left({\left| a \right|}\right)^{2} \log\left({\left| b \right|}\right) - 6 \, \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right)^{2} - 2 \, \log\left({\left| b \right|}\right)^{3}\right)}}{{\left(3 \, \pi^{3} \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 4 \, \pi^{3} \mathrm{sgn}\left(a\right) + 3 \, \pi \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(a\right) + 6 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) + 3 \, \pi \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(a\right) - 4 \, \pi^{3} \mathrm{sgn}\left(b\right) + 3 \, \pi \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(b\right) + 6 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) + 3 \, \pi \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(b\right) + 5 \, \pi^{3} - 6 \, \pi \log\left({\left| a \right|}\right)^{2} - 12 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) - 6 \, \pi \log\left({\left| b \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) + 3 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 6 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) - 6 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) - 6 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(b\right) - 6 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) + 9 \, \pi^{2} \log\left({\left| a \right|}\right) - 2 \, \log\left({\left| a \right|}\right)^{3} + 9 \, \pi^{2} \log\left({\left| b \right|}\right) - 6 \, \log\left({\left| a \right|}\right)^{2} \log\left({\left| b \right|}\right) - 6 \, \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right)^{2} - 2 \, \log\left({\left| b \right|}\right)^{3}\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi x \mathrm{sgn}\left(a\right) - \frac{1}{2} \, \pi x \mathrm{sgn}\left(b\right) + \pi x\right) + {\left(\frac{{\left(\pi^{2} x^{2} \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 2 \, \pi^{2} x^{2} \mathrm{sgn}\left(a\right) - 2 \, \pi^{2} x^{2} \mathrm{sgn}\left(b\right) + 3 \, \pi^{2} x^{2} - 2 \, x^{2} \log\left({\left| a \right|}\right)^{2} - 4 \, x^{2} \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) - 2 \, x^{2} \log\left({\left| b \right|}\right)^{2} + 4 \, x \log\left({\left| a \right|}\right) + 4 \, x \log\left({\left| b \right|}\right) - 4\right)} {\left(3 \, \pi^{3} \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 4 \, \pi^{3} \mathrm{sgn}\left(a\right) + 3 \, \pi \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(a\right) + 6 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) + 3 \, \pi \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(a\right) - 4 \, \pi^{3} \mathrm{sgn}\left(b\right) + 3 \, \pi \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(b\right) + 6 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) + 3 \, \pi \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(b\right) + 5 \, \pi^{3} - 6 \, \pi \log\left({\left| a \right|}\right)^{2} - 12 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) - 6 \, \pi \log\left({\left| b \right|}\right)^{2}\right)}}{{\left(3 \, \pi^{3} \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 4 \, \pi^{3} \mathrm{sgn}\left(a\right) + 3 \, \pi \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(a\right) + 6 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) + 3 \, \pi \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(a\right) - 4 \, \pi^{3} \mathrm{sgn}\left(b\right) + 3 \, \pi \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(b\right) + 6 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) + 3 \, \pi \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(b\right) + 5 \, \pi^{3} - 6 \, \pi \log\left({\left| a \right|}\right)^{2} - 12 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) - 6 \, \pi \log\left({\left| b \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) + 3 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 6 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) - 6 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) - 6 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(b\right) - 6 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) + 9 \, \pi^{2} \log\left({\left| a \right|}\right) - 2 \, \log\left({\left| a \right|}\right)^{3} + 9 \, \pi^{2} \log\left({\left| b \right|}\right) - 6 \, \log\left({\left| a \right|}\right)^{2} \log\left({\left| b \right|}\right) - 6 \, \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right)^{2} - 2 \, \log\left({\left| b \right|}\right)^{3}\right)}^{2}} - \frac{2 \, {\left(\pi x^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) + \pi x^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) + \pi x^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(b\right) + \pi x^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) - 2 \, \pi x^{2} \log\left({\left| a \right|}\right) - 2 \, \pi x^{2} \log\left({\left| b \right|}\right) - \pi x \mathrm{sgn}\left(a\right) - \pi x \mathrm{sgn}\left(b\right) + 2 \, \pi x\right)} {\left(3 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) + 3 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 6 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) - 6 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) - 6 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(b\right) - 6 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) + 9 \, \pi^{2} \log\left({\left| a \right|}\right) - 2 \, \log\left({\left| a \right|}\right)^{3} + 9 \, \pi^{2} \log\left({\left| b \right|}\right) - 6 \, \log\left({\left| a \right|}\right)^{2} \log\left({\left| b \right|}\right) - 6 \, \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right)^{2} - 2 \, \log\left({\left| b \right|}\right)^{3}\right)}}{{\left(3 \, \pi^{3} \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 4 \, \pi^{3} \mathrm{sgn}\left(a\right) + 3 \, \pi \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(a\right) + 6 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) + 3 \, \pi \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(a\right) - 4 \, \pi^{3} \mathrm{sgn}\left(b\right) + 3 \, \pi \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(b\right) + 6 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) + 3 \, \pi \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(b\right) + 5 \, \pi^{3} - 6 \, \pi \log\left({\left| a \right|}\right)^{2} - 12 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) - 6 \, \pi \log\left({\left| b \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) + 3 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 6 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) - 6 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) - 6 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(b\right) - 6 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) + 9 \, \pi^{2} \log\left({\left| a \right|}\right) - 2 \, \log\left({\left| a \right|}\right)^{3} + 9 \, \pi^{2} \log\left({\left| b \right|}\right) - 6 \, \log\left({\left| a \right|}\right)^{2} \log\left({\left| b \right|}\right) - 6 \, \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right)^{2} - 2 \, \log\left({\left| b \right|}\right)^{3}\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi x \mathrm{sgn}\left(a\right) - \frac{1}{2} \, \pi x \mathrm{sgn}\left(b\right) + \pi x\right)\right)} e^{\left(x {\left(\log\left({\left| a \right|}\right) + \log\left({\left| b \right|}\right)\right)}\right)} + \frac{{\left(\frac{{\left(\pi^{2} i x^{2} \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 2 \, \pi^{2} i x^{2} \mathrm{sgn}\left(a\right) - 2 \, \pi^{2} i x^{2} \mathrm{sgn}\left(b\right) + 3 \, \pi^{2} i x^{2} - 2 \, i x^{2} \log\left({\left| a \right|}\right)^{2} - 4 \, i x^{2} \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) - 2 \, i x^{2} \log\left({\left| b \right|}\right)^{2} + 2 \, \pi x^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) + 2 \, \pi x^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) + 2 \, \pi x^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(b\right) + 2 \, \pi x^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) - 4 \, \pi x^{2} \log\left({\left| a \right|}\right) - 4 \, \pi x^{2} \log\left({\left| b \right|}\right) + 4 \, i x \log\left({\left| a \right|}\right) + 4 \, i x \log\left({\left| b \right|}\right) - 2 \, \pi x \mathrm{sgn}\left(a\right) - 2 \, \pi x \mathrm{sgn}\left(b\right) + 4 \, \pi x - 4 \, i\right)} e^{\left(\frac{1}{2} \, {\left(\pi {\left(\mathrm{sgn}\left(a\right) - 1\right)} + \pi {\left(\mathrm{sgn}\left(b\right) - 1\right)}\right)} i x\right)}}{3 \, \pi^{3} i \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 4 \, \pi^{3} i \mathrm{sgn}\left(a\right) + 3 \, \pi i \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(a\right) + 6 \, \pi i \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) + 3 \, \pi i \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(a\right) - 4 \, \pi^{3} i \mathrm{sgn}\left(b\right) + 3 \, \pi i \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(b\right) + 6 \, \pi i \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) + 3 \, \pi i \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(b\right) - 3 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 3 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) + 5 \, \pi^{3} i - 6 \, \pi i \log\left({\left| a \right|}\right)^{2} - 12 \, \pi i \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) - 6 \, \pi i \log\left({\left| b \right|}\right)^{2} + 6 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) + 6 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) + 6 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(b\right) + 6 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) - 9 \, \pi^{2} \log\left({\left| a \right|}\right) + 2 \, \log\left({\left| a \right|}\right)^{3} - 9 \, \pi^{2} \log\left({\left| b \right|}\right) + 6 \, \log\left({\left| a \right|}\right)^{2} \log\left({\left| b \right|}\right) + 6 \, \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right)^{2} + 2 \, \log\left({\left| b \right|}\right)^{3}} + \frac{{\left(\pi^{2} i x^{2} \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 2 \, \pi^{2} i x^{2} \mathrm{sgn}\left(a\right) - 2 \, \pi^{2} i x^{2} \mathrm{sgn}\left(b\right) + 3 \, \pi^{2} i x^{2} - 2 \, i x^{2} \log\left({\left| a \right|}\right)^{2} - 4 \, i x^{2} \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) - 2 \, i x^{2} \log\left({\left| b \right|}\right)^{2} - 2 \, \pi x^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) - 2 \, \pi x^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) - 2 \, \pi x^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(b\right) - 2 \, \pi x^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) + 4 \, \pi x^{2} \log\left({\left| a \right|}\right) + 4 \, \pi x^{2} \log\left({\left| b \right|}\right) + 4 \, i x \log\left({\left| a \right|}\right) + 4 \, i x \log\left({\left| b \right|}\right) + 2 \, \pi x \mathrm{sgn}\left(a\right) + 2 \, \pi x \mathrm{sgn}\left(b\right) - 4 \, \pi x - 4 \, i\right)} e^{\left(-\frac{1}{2} \, {\left(\pi {\left(\mathrm{sgn}\left(a\right) - 1\right)} + \pi {\left(\mathrm{sgn}\left(b\right) - 1\right)}\right)} i x\right)}}{3 \, \pi^{3} i \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 4 \, \pi^{3} i \mathrm{sgn}\left(a\right) + 3 \, \pi i \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(a\right) + 6 \, \pi i \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) + 3 \, \pi i \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(a\right) - 4 \, \pi^{3} i \mathrm{sgn}\left(b\right) + 3 \, \pi i \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(b\right) + 6 \, \pi i \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) + 3 \, \pi i \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(b\right) + 3 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) + 3 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) + 5 \, \pi^{3} i - 6 \, \pi i \log\left({\left| a \right|}\right)^{2} - 12 \, \pi i \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) - 6 \, \pi i \log\left({\left| b \right|}\right)^{2} - 6 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) - 6 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) - 6 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(b\right) - 6 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) + 9 \, \pi^{2} \log\left({\left| a \right|}\right) - 2 \, \log\left({\left| a \right|}\right)^{3} + 9 \, \pi^{2} \log\left({\left| b \right|}\right) - 6 \, \log\left({\left| a \right|}\right)^{2} \log\left({\left| b \right|}\right) - 6 \, \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right)^{2} - 2 \, \log\left({\left| b \right|}\right)^{3}}\right)} e^{\left(x {\left(\log\left({\left| a \right|}\right) + \log\left({\left| b \right|}\right)\right)}\right)}}{2 \, i}"," ",0,"((2*(pi*x^2*log(abs(a))*sgn(a) + pi*x^2*log(abs(b))*sgn(a) + pi*x^2*log(abs(a))*sgn(b) + pi*x^2*log(abs(b))*sgn(b) - 2*pi*x^2*log(abs(a)) - 2*pi*x^2*log(abs(b)) - pi*x*sgn(a) - pi*x*sgn(b) + 2*pi*x)*(3*pi^3*sgn(a)*sgn(b) - 4*pi^3*sgn(a) + 3*pi*log(abs(a))^2*sgn(a) + 6*pi*log(abs(a))*log(abs(b))*sgn(a) + 3*pi*log(abs(b))^2*sgn(a) - 4*pi^3*sgn(b) + 3*pi*log(abs(a))^2*sgn(b) + 6*pi*log(abs(a))*log(abs(b))*sgn(b) + 3*pi*log(abs(b))^2*sgn(b) + 5*pi^3 - 6*pi*log(abs(a))^2 - 12*pi*log(abs(a))*log(abs(b)) - 6*pi*log(abs(b))^2)/((3*pi^3*sgn(a)*sgn(b) - 4*pi^3*sgn(a) + 3*pi*log(abs(a))^2*sgn(a) + 6*pi*log(abs(a))*log(abs(b))*sgn(a) + 3*pi*log(abs(b))^2*sgn(a) - 4*pi^3*sgn(b) + 3*pi*log(abs(a))^2*sgn(b) + 6*pi*log(abs(a))*log(abs(b))*sgn(b) + 3*pi*log(abs(b))^2*sgn(b) + 5*pi^3 - 6*pi*log(abs(a))^2 - 12*pi*log(abs(a))*log(abs(b)) - 6*pi*log(abs(b))^2)^2 + (3*pi^2*log(abs(a))*sgn(a)*sgn(b) + 3*pi^2*log(abs(b))*sgn(a)*sgn(b) - 6*pi^2*log(abs(a))*sgn(a) - 6*pi^2*log(abs(b))*sgn(a) - 6*pi^2*log(abs(a))*sgn(b) - 6*pi^2*log(abs(b))*sgn(b) + 9*pi^2*log(abs(a)) - 2*log(abs(a))^3 + 9*pi^2*log(abs(b)) - 6*log(abs(a))^2*log(abs(b)) - 6*log(abs(a))*log(abs(b))^2 - 2*log(abs(b))^3)^2) + (pi^2*x^2*sgn(a)*sgn(b) - 2*pi^2*x^2*sgn(a) - 2*pi^2*x^2*sgn(b) + 3*pi^2*x^2 - 2*x^2*log(abs(a))^2 - 4*x^2*log(abs(a))*log(abs(b)) - 2*x^2*log(abs(b))^2 + 4*x*log(abs(a)) + 4*x*log(abs(b)) - 4)*(3*pi^2*log(abs(a))*sgn(a)*sgn(b) + 3*pi^2*log(abs(b))*sgn(a)*sgn(b) - 6*pi^2*log(abs(a))*sgn(a) - 6*pi^2*log(abs(b))*sgn(a) - 6*pi^2*log(abs(a))*sgn(b) - 6*pi^2*log(abs(b))*sgn(b) + 9*pi^2*log(abs(a)) - 2*log(abs(a))^3 + 9*pi^2*log(abs(b)) - 6*log(abs(a))^2*log(abs(b)) - 6*log(abs(a))*log(abs(b))^2 - 2*log(abs(b))^3)/((3*pi^3*sgn(a)*sgn(b) - 4*pi^3*sgn(a) + 3*pi*log(abs(a))^2*sgn(a) + 6*pi*log(abs(a))*log(abs(b))*sgn(a) + 3*pi*log(abs(b))^2*sgn(a) - 4*pi^3*sgn(b) + 3*pi*log(abs(a))^2*sgn(b) + 6*pi*log(abs(a))*log(abs(b))*sgn(b) + 3*pi*log(abs(b))^2*sgn(b) + 5*pi^3 - 6*pi*log(abs(a))^2 - 12*pi*log(abs(a))*log(abs(b)) - 6*pi*log(abs(b))^2)^2 + (3*pi^2*log(abs(a))*sgn(a)*sgn(b) + 3*pi^2*log(abs(b))*sgn(a)*sgn(b) - 6*pi^2*log(abs(a))*sgn(a) - 6*pi^2*log(abs(b))*sgn(a) - 6*pi^2*log(abs(a))*sgn(b) - 6*pi^2*log(abs(b))*sgn(b) + 9*pi^2*log(abs(a)) - 2*log(abs(a))^3 + 9*pi^2*log(abs(b)) - 6*log(abs(a))^2*log(abs(b)) - 6*log(abs(a))*log(abs(b))^2 - 2*log(abs(b))^3)^2))*cos(-1/2*pi*x*sgn(a) - 1/2*pi*x*sgn(b) + pi*x) + ((pi^2*x^2*sgn(a)*sgn(b) - 2*pi^2*x^2*sgn(a) - 2*pi^2*x^2*sgn(b) + 3*pi^2*x^2 - 2*x^2*log(abs(a))^2 - 4*x^2*log(abs(a))*log(abs(b)) - 2*x^2*log(abs(b))^2 + 4*x*log(abs(a)) + 4*x*log(abs(b)) - 4)*(3*pi^3*sgn(a)*sgn(b) - 4*pi^3*sgn(a) + 3*pi*log(abs(a))^2*sgn(a) + 6*pi*log(abs(a))*log(abs(b))*sgn(a) + 3*pi*log(abs(b))^2*sgn(a) - 4*pi^3*sgn(b) + 3*pi*log(abs(a))^2*sgn(b) + 6*pi*log(abs(a))*log(abs(b))*sgn(b) + 3*pi*log(abs(b))^2*sgn(b) + 5*pi^3 - 6*pi*log(abs(a))^2 - 12*pi*log(abs(a))*log(abs(b)) - 6*pi*log(abs(b))^2)/((3*pi^3*sgn(a)*sgn(b) - 4*pi^3*sgn(a) + 3*pi*log(abs(a))^2*sgn(a) + 6*pi*log(abs(a))*log(abs(b))*sgn(a) + 3*pi*log(abs(b))^2*sgn(a) - 4*pi^3*sgn(b) + 3*pi*log(abs(a))^2*sgn(b) + 6*pi*log(abs(a))*log(abs(b))*sgn(b) + 3*pi*log(abs(b))^2*sgn(b) + 5*pi^3 - 6*pi*log(abs(a))^2 - 12*pi*log(abs(a))*log(abs(b)) - 6*pi*log(abs(b))^2)^2 + (3*pi^2*log(abs(a))*sgn(a)*sgn(b) + 3*pi^2*log(abs(b))*sgn(a)*sgn(b) - 6*pi^2*log(abs(a))*sgn(a) - 6*pi^2*log(abs(b))*sgn(a) - 6*pi^2*log(abs(a))*sgn(b) - 6*pi^2*log(abs(b))*sgn(b) + 9*pi^2*log(abs(a)) - 2*log(abs(a))^3 + 9*pi^2*log(abs(b)) - 6*log(abs(a))^2*log(abs(b)) - 6*log(abs(a))*log(abs(b))^2 - 2*log(abs(b))^3)^2) - 2*(pi*x^2*log(abs(a))*sgn(a) + pi*x^2*log(abs(b))*sgn(a) + pi*x^2*log(abs(a))*sgn(b) + pi*x^2*log(abs(b))*sgn(b) - 2*pi*x^2*log(abs(a)) - 2*pi*x^2*log(abs(b)) - pi*x*sgn(a) - pi*x*sgn(b) + 2*pi*x)*(3*pi^2*log(abs(a))*sgn(a)*sgn(b) + 3*pi^2*log(abs(b))*sgn(a)*sgn(b) - 6*pi^2*log(abs(a))*sgn(a) - 6*pi^2*log(abs(b))*sgn(a) - 6*pi^2*log(abs(a))*sgn(b) - 6*pi^2*log(abs(b))*sgn(b) + 9*pi^2*log(abs(a)) - 2*log(abs(a))^3 + 9*pi^2*log(abs(b)) - 6*log(abs(a))^2*log(abs(b)) - 6*log(abs(a))*log(abs(b))^2 - 2*log(abs(b))^3)/((3*pi^3*sgn(a)*sgn(b) - 4*pi^3*sgn(a) + 3*pi*log(abs(a))^2*sgn(a) + 6*pi*log(abs(a))*log(abs(b))*sgn(a) + 3*pi*log(abs(b))^2*sgn(a) - 4*pi^3*sgn(b) + 3*pi*log(abs(a))^2*sgn(b) + 6*pi*log(abs(a))*log(abs(b))*sgn(b) + 3*pi*log(abs(b))^2*sgn(b) + 5*pi^3 - 6*pi*log(abs(a))^2 - 12*pi*log(abs(a))*log(abs(b)) - 6*pi*log(abs(b))^2)^2 + (3*pi^2*log(abs(a))*sgn(a)*sgn(b) + 3*pi^2*log(abs(b))*sgn(a)*sgn(b) - 6*pi^2*log(abs(a))*sgn(a) - 6*pi^2*log(abs(b))*sgn(a) - 6*pi^2*log(abs(a))*sgn(b) - 6*pi^2*log(abs(b))*sgn(b) + 9*pi^2*log(abs(a)) - 2*log(abs(a))^3 + 9*pi^2*log(abs(b)) - 6*log(abs(a))^2*log(abs(b)) - 6*log(abs(a))*log(abs(b))^2 - 2*log(abs(b))^3)^2))*sin(-1/2*pi*x*sgn(a) - 1/2*pi*x*sgn(b) + pi*x))*e^(x*(log(abs(a)) + log(abs(b)))) + 1/2*((pi^2*i*x^2*sgn(a)*sgn(b) - 2*pi^2*i*x^2*sgn(a) - 2*pi^2*i*x^2*sgn(b) + 3*pi^2*i*x^2 - 2*i*x^2*log(abs(a))^2 - 4*i*x^2*log(abs(a))*log(abs(b)) - 2*i*x^2*log(abs(b))^2 + 2*pi*x^2*log(abs(a))*sgn(a) + 2*pi*x^2*log(abs(b))*sgn(a) + 2*pi*x^2*log(abs(a))*sgn(b) + 2*pi*x^2*log(abs(b))*sgn(b) - 4*pi*x^2*log(abs(a)) - 4*pi*x^2*log(abs(b)) + 4*i*x*log(abs(a)) + 4*i*x*log(abs(b)) - 2*pi*x*sgn(a) - 2*pi*x*sgn(b) + 4*pi*x - 4*i)*e^(1/2*(pi*(sgn(a) - 1) + pi*(sgn(b) - 1))*i*x)/(3*pi^3*i*sgn(a)*sgn(b) - 4*pi^3*i*sgn(a) + 3*pi*i*log(abs(a))^2*sgn(a) + 6*pi*i*log(abs(a))*log(abs(b))*sgn(a) + 3*pi*i*log(abs(b))^2*sgn(a) - 4*pi^3*i*sgn(b) + 3*pi*i*log(abs(a))^2*sgn(b) + 6*pi*i*log(abs(a))*log(abs(b))*sgn(b) + 3*pi*i*log(abs(b))^2*sgn(b) - 3*pi^2*log(abs(a))*sgn(a)*sgn(b) - 3*pi^2*log(abs(b))*sgn(a)*sgn(b) + 5*pi^3*i - 6*pi*i*log(abs(a))^2 - 12*pi*i*log(abs(a))*log(abs(b)) - 6*pi*i*log(abs(b))^2 + 6*pi^2*log(abs(a))*sgn(a) + 6*pi^2*log(abs(b))*sgn(a) + 6*pi^2*log(abs(a))*sgn(b) + 6*pi^2*log(abs(b))*sgn(b) - 9*pi^2*log(abs(a)) + 2*log(abs(a))^3 - 9*pi^2*log(abs(b)) + 6*log(abs(a))^2*log(abs(b)) + 6*log(abs(a))*log(abs(b))^2 + 2*log(abs(b))^3) + (pi^2*i*x^2*sgn(a)*sgn(b) - 2*pi^2*i*x^2*sgn(a) - 2*pi^2*i*x^2*sgn(b) + 3*pi^2*i*x^2 - 2*i*x^2*log(abs(a))^2 - 4*i*x^2*log(abs(a))*log(abs(b)) - 2*i*x^2*log(abs(b))^2 - 2*pi*x^2*log(abs(a))*sgn(a) - 2*pi*x^2*log(abs(b))*sgn(a) - 2*pi*x^2*log(abs(a))*sgn(b) - 2*pi*x^2*log(abs(b))*sgn(b) + 4*pi*x^2*log(abs(a)) + 4*pi*x^2*log(abs(b)) + 4*i*x*log(abs(a)) + 4*i*x*log(abs(b)) + 2*pi*x*sgn(a) + 2*pi*x*sgn(b) - 4*pi*x - 4*i)*e^(-1/2*(pi*(sgn(a) - 1) + pi*(sgn(b) - 1))*i*x)/(3*pi^3*i*sgn(a)*sgn(b) - 4*pi^3*i*sgn(a) + 3*pi*i*log(abs(a))^2*sgn(a) + 6*pi*i*log(abs(a))*log(abs(b))*sgn(a) + 3*pi*i*log(abs(b))^2*sgn(a) - 4*pi^3*i*sgn(b) + 3*pi*i*log(abs(a))^2*sgn(b) + 6*pi*i*log(abs(a))*log(abs(b))*sgn(b) + 3*pi*i*log(abs(b))^2*sgn(b) + 3*pi^2*log(abs(a))*sgn(a)*sgn(b) + 3*pi^2*log(abs(b))*sgn(a)*sgn(b) + 5*pi^3*i - 6*pi*i*log(abs(a))^2 - 12*pi*i*log(abs(a))*log(abs(b)) - 6*pi*i*log(abs(b))^2 - 6*pi^2*log(abs(a))*sgn(a) - 6*pi^2*log(abs(b))*sgn(a) - 6*pi^2*log(abs(a))*sgn(b) - 6*pi^2*log(abs(b))*sgn(b) + 9*pi^2*log(abs(a)) - 2*log(abs(a))^3 + 9*pi^2*log(abs(b)) - 6*log(abs(a))^2*log(abs(b)) - 6*log(abs(a))*log(abs(b))^2 - 2*log(abs(b))^3))*e^(x*(log(abs(a)) + log(abs(b))))/i","B",0
564,1,1020,0,0.291999," ","integrate(a^x*b^x*x,x, algorithm=""giac"")","{\left(2 \, {\left(\frac{{\left(\pi x \mathrm{sgn}\left(a\right) + \pi x \mathrm{sgn}\left(b\right) - 2 \, \pi x\right)} {\left(\pi \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) + \pi \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) + \pi \log\left({\left| a \right|}\right) \mathrm{sgn}\left(b\right) + \pi \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) - 2 \, \pi \log\left({\left| a \right|}\right) - 2 \, \pi \log\left({\left| b \right|}\right)\right)}}{{\left(\pi^{2} \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 2 \, \pi^{2} \mathrm{sgn}\left(a\right) - 2 \, \pi^{2} \mathrm{sgn}\left(b\right) + 3 \, \pi^{2} - 2 \, \log\left({\left| a \right|}\right)^{2} - 4 \, \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) - 2 \, \log\left({\left| b \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) + \pi \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) + \pi \log\left({\left| a \right|}\right) \mathrm{sgn}\left(b\right) + \pi \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) - 2 \, \pi \log\left({\left| a \right|}\right) - 2 \, \pi \log\left({\left| b \right|}\right)\right)}^{2}} - \frac{{\left(\pi^{2} \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 2 \, \pi^{2} \mathrm{sgn}\left(a\right) - 2 \, \pi^{2} \mathrm{sgn}\left(b\right) + 3 \, \pi^{2} - 2 \, \log\left({\left| a \right|}\right)^{2} - 4 \, \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) - 2 \, \log\left({\left| b \right|}\right)^{2}\right)} {\left(x \log\left({\left| a \right|}\right) + x \log\left({\left| b \right|}\right) - 1\right)}}{{\left(\pi^{2} \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 2 \, \pi^{2} \mathrm{sgn}\left(a\right) - 2 \, \pi^{2} \mathrm{sgn}\left(b\right) + 3 \, \pi^{2} - 2 \, \log\left({\left| a \right|}\right)^{2} - 4 \, \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) - 2 \, \log\left({\left| b \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) + \pi \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) + \pi \log\left({\left| a \right|}\right) \mathrm{sgn}\left(b\right) + \pi \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) - 2 \, \pi \log\left({\left| a \right|}\right) - 2 \, \pi \log\left({\left| b \right|}\right)\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi x \mathrm{sgn}\left(a\right) - \frac{1}{2} \, \pi x \mathrm{sgn}\left(b\right) + \pi x\right) - {\left(\frac{{\left(\pi^{2} \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 2 \, \pi^{2} \mathrm{sgn}\left(a\right) - 2 \, \pi^{2} \mathrm{sgn}\left(b\right) + 3 \, \pi^{2} - 2 \, \log\left({\left| a \right|}\right)^{2} - 4 \, \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) - 2 \, \log\left({\left| b \right|}\right)^{2}\right)} {\left(\pi x \mathrm{sgn}\left(a\right) + \pi x \mathrm{sgn}\left(b\right) - 2 \, \pi x\right)}}{{\left(\pi^{2} \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 2 \, \pi^{2} \mathrm{sgn}\left(a\right) - 2 \, \pi^{2} \mathrm{sgn}\left(b\right) + 3 \, \pi^{2} - 2 \, \log\left({\left| a \right|}\right)^{2} - 4 \, \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) - 2 \, \log\left({\left| b \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) + \pi \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) + \pi \log\left({\left| a \right|}\right) \mathrm{sgn}\left(b\right) + \pi \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) - 2 \, \pi \log\left({\left| a \right|}\right) - 2 \, \pi \log\left({\left| b \right|}\right)\right)}^{2}} + \frac{4 \, {\left(\pi \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) + \pi \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) + \pi \log\left({\left| a \right|}\right) \mathrm{sgn}\left(b\right) + \pi \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) - 2 \, \pi \log\left({\left| a \right|}\right) - 2 \, \pi \log\left({\left| b \right|}\right)\right)} {\left(x \log\left({\left| a \right|}\right) + x \log\left({\left| b \right|}\right) - 1\right)}}{{\left(\pi^{2} \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 2 \, \pi^{2} \mathrm{sgn}\left(a\right) - 2 \, \pi^{2} \mathrm{sgn}\left(b\right) + 3 \, \pi^{2} - 2 \, \log\left({\left| a \right|}\right)^{2} - 4 \, \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) - 2 \, \log\left({\left| b \right|}\right)^{2}\right)}^{2} + 4 \, {\left(\pi \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) + \pi \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) + \pi \log\left({\left| a \right|}\right) \mathrm{sgn}\left(b\right) + \pi \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) - 2 \, \pi \log\left({\left| a \right|}\right) - 2 \, \pi \log\left({\left| b \right|}\right)\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi x \mathrm{sgn}\left(a\right) - \frac{1}{2} \, \pi x \mathrm{sgn}\left(b\right) + \pi x\right)\right)} e^{\left(x {\left(\log\left({\left| a \right|}\right) + \log\left({\left| b \right|}\right)\right)}\right)} - \frac{{\left(\frac{{\left(2 \, i x \log\left({\left| a \right|}\right) + 2 \, i x \log\left({\left| b \right|}\right) - \pi x \mathrm{sgn}\left(a\right) - \pi x \mathrm{sgn}\left(b\right) + 2 \, \pi x - 2 \, i\right)} e^{\left(\frac{1}{2} \, {\left(\pi {\left(\mathrm{sgn}\left(a\right) - 1\right)} + \pi {\left(\mathrm{sgn}\left(b\right) - 1\right)}\right)} i x\right)}}{2 \, \pi i \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) + 2 \, \pi i \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) + 2 \, \pi i \log\left({\left| a \right|}\right) \mathrm{sgn}\left(b\right) + 2 \, \pi i \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) - \pi^{2} \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 4 \, \pi i \log\left({\left| a \right|}\right) - 4 \, \pi i \log\left({\left| b \right|}\right) + 2 \, \pi^{2} \mathrm{sgn}\left(a\right) + 2 \, \pi^{2} \mathrm{sgn}\left(b\right) - 3 \, \pi^{2} + 2 \, \log\left({\left| a \right|}\right)^{2} + 4 \, \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) + 2 \, \log\left({\left| b \right|}\right)^{2}} + \frac{{\left(2 \, i x \log\left({\left| a \right|}\right) + 2 \, i x \log\left({\left| b \right|}\right) + \pi x \mathrm{sgn}\left(a\right) + \pi x \mathrm{sgn}\left(b\right) - 2 \, \pi x - 2 \, i\right)} e^{\left(-\frac{1}{2} \, {\left(\pi {\left(\mathrm{sgn}\left(a\right) - 1\right)} + \pi {\left(\mathrm{sgn}\left(b\right) - 1\right)}\right)} i x\right)}}{2 \, \pi i \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) + 2 \, \pi i \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) + 2 \, \pi i \log\left({\left| a \right|}\right) \mathrm{sgn}\left(b\right) + 2 \, \pi i \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) + \pi^{2} \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 4 \, \pi i \log\left({\left| a \right|}\right) - 4 \, \pi i \log\left({\left| b \right|}\right) - 2 \, \pi^{2} \mathrm{sgn}\left(a\right) - 2 \, \pi^{2} \mathrm{sgn}\left(b\right) + 3 \, \pi^{2} - 2 \, \log\left({\left| a \right|}\right)^{2} - 4 \, \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) - 2 \, \log\left({\left| b \right|}\right)^{2}}\right)} e^{\left(x {\left(\log\left({\left| a \right|}\right) + \log\left({\left| b \right|}\right)\right)}\right)}}{2 \, i}"," ",0,"(2*((pi*x*sgn(a) + pi*x*sgn(b) - 2*pi*x)*(pi*log(abs(a))*sgn(a) + pi*log(abs(b))*sgn(a) + pi*log(abs(a))*sgn(b) + pi*log(abs(b))*sgn(b) - 2*pi*log(abs(a)) - 2*pi*log(abs(b)))/((pi^2*sgn(a)*sgn(b) - 2*pi^2*sgn(a) - 2*pi^2*sgn(b) + 3*pi^2 - 2*log(abs(a))^2 - 4*log(abs(a))*log(abs(b)) - 2*log(abs(b))^2)^2 + 4*(pi*log(abs(a))*sgn(a) + pi*log(abs(b))*sgn(a) + pi*log(abs(a))*sgn(b) + pi*log(abs(b))*sgn(b) - 2*pi*log(abs(a)) - 2*pi*log(abs(b)))^2) - (pi^2*sgn(a)*sgn(b) - 2*pi^2*sgn(a) - 2*pi^2*sgn(b) + 3*pi^2 - 2*log(abs(a))^2 - 4*log(abs(a))*log(abs(b)) - 2*log(abs(b))^2)*(x*log(abs(a)) + x*log(abs(b)) - 1)/((pi^2*sgn(a)*sgn(b) - 2*pi^2*sgn(a) - 2*pi^2*sgn(b) + 3*pi^2 - 2*log(abs(a))^2 - 4*log(abs(a))*log(abs(b)) - 2*log(abs(b))^2)^2 + 4*(pi*log(abs(a))*sgn(a) + pi*log(abs(b))*sgn(a) + pi*log(abs(a))*sgn(b) + pi*log(abs(b))*sgn(b) - 2*pi*log(abs(a)) - 2*pi*log(abs(b)))^2))*cos(-1/2*pi*x*sgn(a) - 1/2*pi*x*sgn(b) + pi*x) - ((pi^2*sgn(a)*sgn(b) - 2*pi^2*sgn(a) - 2*pi^2*sgn(b) + 3*pi^2 - 2*log(abs(a))^2 - 4*log(abs(a))*log(abs(b)) - 2*log(abs(b))^2)*(pi*x*sgn(a) + pi*x*sgn(b) - 2*pi*x)/((pi^2*sgn(a)*sgn(b) - 2*pi^2*sgn(a) - 2*pi^2*sgn(b) + 3*pi^2 - 2*log(abs(a))^2 - 4*log(abs(a))*log(abs(b)) - 2*log(abs(b))^2)^2 + 4*(pi*log(abs(a))*sgn(a) + pi*log(abs(b))*sgn(a) + pi*log(abs(a))*sgn(b) + pi*log(abs(b))*sgn(b) - 2*pi*log(abs(a)) - 2*pi*log(abs(b)))^2) + 4*(pi*log(abs(a))*sgn(a) + pi*log(abs(b))*sgn(a) + pi*log(abs(a))*sgn(b) + pi*log(abs(b))*sgn(b) - 2*pi*log(abs(a)) - 2*pi*log(abs(b)))*(x*log(abs(a)) + x*log(abs(b)) - 1)/((pi^2*sgn(a)*sgn(b) - 2*pi^2*sgn(a) - 2*pi^2*sgn(b) + 3*pi^2 - 2*log(abs(a))^2 - 4*log(abs(a))*log(abs(b)) - 2*log(abs(b))^2)^2 + 4*(pi*log(abs(a))*sgn(a) + pi*log(abs(b))*sgn(a) + pi*log(abs(a))*sgn(b) + pi*log(abs(b))*sgn(b) - 2*pi*log(abs(a)) - 2*pi*log(abs(b)))^2))*sin(-1/2*pi*x*sgn(a) - 1/2*pi*x*sgn(b) + pi*x))*e^(x*(log(abs(a)) + log(abs(b)))) - 1/2*((2*i*x*log(abs(a)) + 2*i*x*log(abs(b)) - pi*x*sgn(a) - pi*x*sgn(b) + 2*pi*x - 2*i)*e^(1/2*(pi*(sgn(a) - 1) + pi*(sgn(b) - 1))*i*x)/(2*pi*i*log(abs(a))*sgn(a) + 2*pi*i*log(abs(b))*sgn(a) + 2*pi*i*log(abs(a))*sgn(b) + 2*pi*i*log(abs(b))*sgn(b) - pi^2*sgn(a)*sgn(b) - 4*pi*i*log(abs(a)) - 4*pi*i*log(abs(b)) + 2*pi^2*sgn(a) + 2*pi^2*sgn(b) - 3*pi^2 + 2*log(abs(a))^2 + 4*log(abs(a))*log(abs(b)) + 2*log(abs(b))^2) + (2*i*x*log(abs(a)) + 2*i*x*log(abs(b)) + pi*x*sgn(a) + pi*x*sgn(b) - 2*pi*x - 2*i)*e^(-1/2*(pi*(sgn(a) - 1) + pi*(sgn(b) - 1))*i*x)/(2*pi*i*log(abs(a))*sgn(a) + 2*pi*i*log(abs(b))*sgn(a) + 2*pi*i*log(abs(a))*sgn(b) + 2*pi*i*log(abs(b))*sgn(b) + pi^2*sgn(a)*sgn(b) - 4*pi*i*log(abs(a)) - 4*pi*i*log(abs(b)) - 2*pi^2*sgn(a) - 2*pi^2*sgn(b) + 3*pi^2 - 2*log(abs(a))^2 - 4*log(abs(a))*log(abs(b)) - 2*log(abs(b))^2))*e^(x*(log(abs(a)) + log(abs(b))))/i","B",0
565,1,242,0,0.248744," ","integrate(a^x*b^x,x, algorithm=""giac"")","2 \, {\left(\frac{2 \, {\left(\log\left({\left| a \right|}\right) + \log\left({\left| b \right|}\right)\right)} \cos\left(-\frac{1}{2} \, \pi x \mathrm{sgn}\left(a\right) - \frac{1}{2} \, \pi x \mathrm{sgn}\left(b\right) + \pi x\right)}{{\left(2 \, \pi - \pi \mathrm{sgn}\left(a\right) - \pi \mathrm{sgn}\left(b\right)\right)}^{2} + 4 \, {\left(\log\left({\left| a \right|}\right) + \log\left({\left| b \right|}\right)\right)}^{2}} + \frac{{\left(2 \, \pi - \pi \mathrm{sgn}\left(a\right) - \pi \mathrm{sgn}\left(b\right)\right)} \sin\left(-\frac{1}{2} \, \pi x \mathrm{sgn}\left(a\right) - \frac{1}{2} \, \pi x \mathrm{sgn}\left(b\right) + \pi x\right)}{{\left(2 \, \pi - \pi \mathrm{sgn}\left(a\right) - \pi \mathrm{sgn}\left(b\right)\right)}^{2} + 4 \, {\left(\log\left({\left| a \right|}\right) + \log\left({\left| b \right|}\right)\right)}^{2}}\right)} e^{\left(x {\left(\log\left({\left| a \right|}\right) + \log\left({\left| b \right|}\right)\right)}\right)} - \frac{{\left(\frac{i e^{\left(\frac{1}{2} \, {\left(\pi {\left(\mathrm{sgn}\left(a\right) - 1\right)} + \pi {\left(\mathrm{sgn}\left(b\right) - 1\right)}\right)} i x\right)}}{\pi i \mathrm{sgn}\left(a\right) + \pi i \mathrm{sgn}\left(b\right) - 2 \, \pi i + 2 \, \log\left({\left| a \right|}\right) + 2 \, \log\left({\left| b \right|}\right)} + \frac{i e^{\left(-\frac{1}{2} \, {\left(\pi {\left(\mathrm{sgn}\left(a\right) - 1\right)} + \pi {\left(\mathrm{sgn}\left(b\right) - 1\right)}\right)} i x\right)}}{\pi i \mathrm{sgn}\left(a\right) + \pi i \mathrm{sgn}\left(b\right) - 2 \, \pi i - 2 \, \log\left({\left| a \right|}\right) - 2 \, \log\left({\left| b \right|}\right)}\right)} e^{\left(x {\left(\log\left({\left| a \right|}\right) + \log\left({\left| b \right|}\right)\right)}\right)}}{i}"," ",0,"2*(2*(log(abs(a)) + log(abs(b)))*cos(-1/2*pi*x*sgn(a) - 1/2*pi*x*sgn(b) + pi*x)/((2*pi - pi*sgn(a) - pi*sgn(b))^2 + 4*(log(abs(a)) + log(abs(b)))^2) + (2*pi - pi*sgn(a) - pi*sgn(b))*sin(-1/2*pi*x*sgn(a) - 1/2*pi*x*sgn(b) + pi*x)/((2*pi - pi*sgn(a) - pi*sgn(b))^2 + 4*(log(abs(a)) + log(abs(b)))^2))*e^(x*(log(abs(a)) + log(abs(b)))) - (i*e^(1/2*(pi*(sgn(a) - 1) + pi*(sgn(b) - 1))*i*x)/(pi*i*sgn(a) + pi*i*sgn(b) - 2*pi*i + 2*log(abs(a)) + 2*log(abs(b))) + i*e^(-1/2*(pi*(sgn(a) - 1) + pi*(sgn(b) - 1))*i*x)/(pi*i*sgn(a) + pi*i*sgn(b) - 2*pi*i - 2*log(abs(a)) - 2*log(abs(b))))*e^(x*(log(abs(a)) + log(abs(b))))/i","B",0
566,0,0,0,0.000000," ","integrate(a^x*b^x/x,x, algorithm=""giac"")","\int \frac{a^{x} b^{x}}{x}\,{d x}"," ",0,"integrate(a^x*b^x/x, x)","F",0
567,0,0,0,0.000000," ","integrate(a^x*b^x/x^2,x, algorithm=""giac"")","\int \frac{a^{x} b^{x}}{x^{2}}\,{d x}"," ",0,"integrate(a^x*b^x/x^2, x)","F",0
568,0,0,0,0.000000," ","integrate(a^x*b^x/x^3,x, algorithm=""giac"")","\int \frac{a^{x} b^{x}}{x^{3}}\,{d x}"," ",0,"integrate(a^x*b^x/x^3, x)","F",0
569,1,318,0,0.281261," ","integrate(a^x*b^x*c^x,x, algorithm=""giac"")","2 \, {\left(\frac{2 \, {\left(\log\left({\left| a \right|}\right) + \log\left({\left| b \right|}\right) + \log\left({\left| c \right|}\right)\right)} \cos\left(-\frac{1}{2} \, \pi x \mathrm{sgn}\left(a\right) - \frac{1}{2} \, \pi x \mathrm{sgn}\left(b\right) - \frac{1}{2} \, \pi x \mathrm{sgn}\left(c\right) + \frac{3}{2} \, \pi x\right)}{{\left(3 \, \pi - \pi \mathrm{sgn}\left(a\right) - \pi \mathrm{sgn}\left(b\right) - \pi \mathrm{sgn}\left(c\right)\right)}^{2} + 4 \, {\left(\log\left({\left| a \right|}\right) + \log\left({\left| b \right|}\right) + \log\left({\left| c \right|}\right)\right)}^{2}} + \frac{{\left(3 \, \pi - \pi \mathrm{sgn}\left(a\right) - \pi \mathrm{sgn}\left(b\right) - \pi \mathrm{sgn}\left(c\right)\right)} \sin\left(-\frac{1}{2} \, \pi x \mathrm{sgn}\left(a\right) - \frac{1}{2} \, \pi x \mathrm{sgn}\left(b\right) - \frac{1}{2} \, \pi x \mathrm{sgn}\left(c\right) + \frac{3}{2} \, \pi x\right)}{{\left(3 \, \pi - \pi \mathrm{sgn}\left(a\right) - \pi \mathrm{sgn}\left(b\right) - \pi \mathrm{sgn}\left(c\right)\right)}^{2} + 4 \, {\left(\log\left({\left| a \right|}\right) + \log\left({\left| b \right|}\right) + \log\left({\left| c \right|}\right)\right)}^{2}}\right)} e^{\left(x {\left(\log\left({\left| a \right|}\right) + \log\left({\left| b \right|}\right) + \log\left({\left| c \right|}\right)\right)}\right)} - \frac{{\left(\frac{i e^{\left(\frac{1}{2} \, {\left(\pi {\left(\mathrm{sgn}\left(a\right) - 1\right)} + \pi {\left(\mathrm{sgn}\left(b\right) - 1\right)} + \pi {\left(\mathrm{sgn}\left(c\right) - 1\right)}\right)} i x\right)}}{\pi i \mathrm{sgn}\left(a\right) + \pi i \mathrm{sgn}\left(b\right) + \pi i \mathrm{sgn}\left(c\right) - 3 \, \pi i + 2 \, \log\left({\left| a \right|}\right) + 2 \, \log\left({\left| b \right|}\right) + 2 \, \log\left({\left| c \right|}\right)} + \frac{i e^{\left(-\frac{1}{2} \, {\left(\pi {\left(\mathrm{sgn}\left(a\right) - 1\right)} + \pi {\left(\mathrm{sgn}\left(b\right) - 1\right)} + \pi {\left(\mathrm{sgn}\left(c\right) - 1\right)}\right)} i x\right)}}{\pi i \mathrm{sgn}\left(a\right) + \pi i \mathrm{sgn}\left(b\right) + \pi i \mathrm{sgn}\left(c\right) - 3 \, \pi i - 2 \, \log\left({\left| a \right|}\right) - 2 \, \log\left({\left| b \right|}\right) - 2 \, \log\left({\left| c \right|}\right)}\right)} e^{\left(x {\left(\log\left({\left| a \right|}\right) + \log\left({\left| b \right|}\right) + \log\left({\left| c \right|}\right)\right)}\right)}}{i}"," ",0,"2*(2*(log(abs(a)) + log(abs(b)) + log(abs(c)))*cos(-1/2*pi*x*sgn(a) - 1/2*pi*x*sgn(b) - 1/2*pi*x*sgn(c) + 3/2*pi*x)/((3*pi - pi*sgn(a) - pi*sgn(b) - pi*sgn(c))^2 + 4*(log(abs(a)) + log(abs(b)) + log(abs(c)))^2) + (3*pi - pi*sgn(a) - pi*sgn(b) - pi*sgn(c))*sin(-1/2*pi*x*sgn(a) - 1/2*pi*x*sgn(b) - 1/2*pi*x*sgn(c) + 3/2*pi*x)/((3*pi - pi*sgn(a) - pi*sgn(b) - pi*sgn(c))^2 + 4*(log(abs(a)) + log(abs(b)) + log(abs(c)))^2))*e^(x*(log(abs(a)) + log(abs(b)) + log(abs(c)))) - (i*e^(1/2*(pi*(sgn(a) - 1) + pi*(sgn(b) - 1) + pi*(sgn(c) - 1))*i*x)/(pi*i*sgn(a) + pi*i*sgn(b) + pi*i*sgn(c) - 3*pi*i + 2*log(abs(a)) + 2*log(abs(b)) + 2*log(abs(c))) + i*e^(-1/2*(pi*(sgn(a) - 1) + pi*(sgn(b) - 1) + pi*(sgn(c) - 1))*i*x)/(pi*i*sgn(a) + pi*i*sgn(b) + pi*i*sgn(c) - 3*pi*i - 2*log(abs(a)) - 2*log(abs(b)) - 2*log(abs(c))))*e^(x*(log(abs(a)) + log(abs(b)) + log(abs(c))))/i","B",0
570,1,231,0,0.265332," ","integrate(a^x/(b^x),x, algorithm=""giac"")","2 \, {\left(\frac{2 \, {\left(\log\left({\left| a \right|}\right) - \log\left({\left| b \right|}\right)\right)} \cos\left(-\frac{1}{2} \, \pi x \mathrm{sgn}\left(a\right) + \frac{1}{2} \, \pi x \mathrm{sgn}\left(b\right)\right)}{{\left(\pi \mathrm{sgn}\left(a\right) - \pi \mathrm{sgn}\left(b\right)\right)}^{2} + 4 \, {\left(\log\left({\left| a \right|}\right) - \log\left({\left| b \right|}\right)\right)}^{2}} - \frac{{\left(\pi \mathrm{sgn}\left(a\right) - \pi \mathrm{sgn}\left(b\right)\right)} \sin\left(-\frac{1}{2} \, \pi x \mathrm{sgn}\left(a\right) + \frac{1}{2} \, \pi x \mathrm{sgn}\left(b\right)\right)}{{\left(\pi \mathrm{sgn}\left(a\right) - \pi \mathrm{sgn}\left(b\right)\right)}^{2} + 4 \, {\left(\log\left({\left| a \right|}\right) - \log\left({\left| b \right|}\right)\right)}^{2}}\right)} e^{\left(x {\left(\log\left({\left| a \right|}\right) - \log\left({\left| b \right|}\right)\right)}\right)} - \frac{{\left(\frac{i e^{\left(\frac{1}{2} \, {\left(\pi {\left(\mathrm{sgn}\left(a\right) - 1\right)} - \pi {\left(\mathrm{sgn}\left(b\right) - 1\right)}\right)} i x\right)}}{\pi i \mathrm{sgn}\left(a\right) - \pi i \mathrm{sgn}\left(b\right) + 2 \, \log\left({\left| a \right|}\right) - 2 \, \log\left({\left| b \right|}\right)} + \frac{i e^{\left(-\frac{1}{2} \, {\left(\pi {\left(\mathrm{sgn}\left(a\right) - 1\right)} - \pi {\left(\mathrm{sgn}\left(b\right) - 1\right)}\right)} i x\right)}}{\pi i \mathrm{sgn}\left(a\right) - \pi i \mathrm{sgn}\left(b\right) - 2 \, \log\left({\left| a \right|}\right) + 2 \, \log\left({\left| b \right|}\right)}\right)} e^{\left(x {\left(\log\left({\left| a \right|}\right) - \log\left({\left| b \right|}\right)\right)}\right)}}{i}"," ",0,"2*(2*(log(abs(a)) - log(abs(b)))*cos(-1/2*pi*x*sgn(a) + 1/2*pi*x*sgn(b))/((pi*sgn(a) - pi*sgn(b))^2 + 4*(log(abs(a)) - log(abs(b)))^2) - (pi*sgn(a) - pi*sgn(b))*sin(-1/2*pi*x*sgn(a) + 1/2*pi*x*sgn(b))/((pi*sgn(a) - pi*sgn(b))^2 + 4*(log(abs(a)) - log(abs(b)))^2))*e^(x*(log(abs(a)) - log(abs(b)))) - (i*e^(1/2*(pi*(sgn(a) - 1) - pi*(sgn(b) - 1))*i*x)/(pi*i*sgn(a) - pi*i*sgn(b) + 2*log(abs(a)) - 2*log(abs(b))) + i*e^(-1/2*(pi*(sgn(a) - 1) - pi*(sgn(b) - 1))*i*x)/(pi*i*sgn(a) - pi*i*sgn(b) - 2*log(abs(a)) + 2*log(abs(b))))*e^(x*(log(abs(a)) - log(abs(b))))/i","B",0
571,1,1859,0,0.355821," ","integrate(a^x*x^2/(b^x),x, algorithm=""giac"")","{\left({\left(\frac{{\left(\pi^{2} x^{2} \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - \pi^{2} x^{2} + 2 \, x^{2} \log\left({\left| a \right|}\right)^{2} - 4 \, x^{2} \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) + 2 \, x^{2} \log\left({\left| b \right|}\right)^{2} - 4 \, x \log\left({\left| a \right|}\right) + 4 \, x \log\left({\left| b \right|}\right) + 4\right)} {\left(3 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 3 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 3 \, \pi^{2} \log\left({\left| a \right|}\right) + 2 \, \log\left({\left| a \right|}\right)^{3} + 3 \, \pi^{2} \log\left({\left| b \right|}\right) - 6 \, \log\left({\left| a \right|}\right)^{2} \log\left({\left| b \right|}\right) + 6 \, \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right)^{2} - 2 \, \log\left({\left| b \right|}\right)^{3}\right)}}{{\left(3 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 3 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 3 \, \pi^{2} \log\left({\left| a \right|}\right) + 2 \, \log\left({\left| a \right|}\right)^{3} + 3 \, \pi^{2} \log\left({\left| b \right|}\right) - 6 \, \log\left({\left| a \right|}\right)^{2} \log\left({\left| b \right|}\right) + 6 \, \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right)^{2} - 2 \, \log\left({\left| b \right|}\right)^{3}\right)}^{2} + {\left(\pi^{3} \mathrm{sgn}\left(a\right) - 3 \, \pi \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(a\right) + 6 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) - 3 \, \pi \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(a\right) - \pi^{3} \mathrm{sgn}\left(b\right) + 3 \, \pi \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(b\right) - 6 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) + 3 \, \pi \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(b\right)\right)}^{2}} - \frac{2 \, {\left(\pi x^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) - \pi x^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) - \pi x^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(b\right) + \pi x^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) - \pi x \mathrm{sgn}\left(a\right) + \pi x \mathrm{sgn}\left(b\right)\right)} {\left(\pi^{3} \mathrm{sgn}\left(a\right) - 3 \, \pi \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(a\right) + 6 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) - 3 \, \pi \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(a\right) - \pi^{3} \mathrm{sgn}\left(b\right) + 3 \, \pi \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(b\right) - 6 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) + 3 \, \pi \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(b\right)\right)}}{{\left(3 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 3 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 3 \, \pi^{2} \log\left({\left| a \right|}\right) + 2 \, \log\left({\left| a \right|}\right)^{3} + 3 \, \pi^{2} \log\left({\left| b \right|}\right) - 6 \, \log\left({\left| a \right|}\right)^{2} \log\left({\left| b \right|}\right) + 6 \, \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right)^{2} - 2 \, \log\left({\left| b \right|}\right)^{3}\right)}^{2} + {\left(\pi^{3} \mathrm{sgn}\left(a\right) - 3 \, \pi \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(a\right) + 6 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) - 3 \, \pi \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(a\right) - \pi^{3} \mathrm{sgn}\left(b\right) + 3 \, \pi \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(b\right) - 6 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) + 3 \, \pi \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(b\right)\right)}^{2}}\right)} \cos\left(-\frac{1}{2} \, \pi x \mathrm{sgn}\left(a\right) + \frac{1}{2} \, \pi x \mathrm{sgn}\left(b\right)\right) + {\left(\frac{2 \, {\left(\pi x^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) - \pi x^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) - \pi x^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(b\right) + \pi x^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) - \pi x \mathrm{sgn}\left(a\right) + \pi x \mathrm{sgn}\left(b\right)\right)} {\left(3 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 3 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 3 \, \pi^{2} \log\left({\left| a \right|}\right) + 2 \, \log\left({\left| a \right|}\right)^{3} + 3 \, \pi^{2} \log\left({\left| b \right|}\right) - 6 \, \log\left({\left| a \right|}\right)^{2} \log\left({\left| b \right|}\right) + 6 \, \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right)^{2} - 2 \, \log\left({\left| b \right|}\right)^{3}\right)}}{{\left(3 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 3 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 3 \, \pi^{2} \log\left({\left| a \right|}\right) + 2 \, \log\left({\left| a \right|}\right)^{3} + 3 \, \pi^{2} \log\left({\left| b \right|}\right) - 6 \, \log\left({\left| a \right|}\right)^{2} \log\left({\left| b \right|}\right) + 6 \, \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right)^{2} - 2 \, \log\left({\left| b \right|}\right)^{3}\right)}^{2} + {\left(\pi^{3} \mathrm{sgn}\left(a\right) - 3 \, \pi \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(a\right) + 6 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) - 3 \, \pi \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(a\right) - \pi^{3} \mathrm{sgn}\left(b\right) + 3 \, \pi \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(b\right) - 6 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) + 3 \, \pi \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(b\right)\right)}^{2}} + \frac{{\left(\pi^{2} x^{2} \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - \pi^{2} x^{2} + 2 \, x^{2} \log\left({\left| a \right|}\right)^{2} - 4 \, x^{2} \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) + 2 \, x^{2} \log\left({\left| b \right|}\right)^{2} - 4 \, x \log\left({\left| a \right|}\right) + 4 \, x \log\left({\left| b \right|}\right) + 4\right)} {\left(\pi^{3} \mathrm{sgn}\left(a\right) - 3 \, \pi \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(a\right) + 6 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) - 3 \, \pi \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(a\right) - \pi^{3} \mathrm{sgn}\left(b\right) + 3 \, \pi \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(b\right) - 6 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) + 3 \, \pi \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(b\right)\right)}}{{\left(3 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 3 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 3 \, \pi^{2} \log\left({\left| a \right|}\right) + 2 \, \log\left({\left| a \right|}\right)^{3} + 3 \, \pi^{2} \log\left({\left| b \right|}\right) - 6 \, \log\left({\left| a \right|}\right)^{2} \log\left({\left| b \right|}\right) + 6 \, \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right)^{2} - 2 \, \log\left({\left| b \right|}\right)^{3}\right)}^{2} + {\left(\pi^{3} \mathrm{sgn}\left(a\right) - 3 \, \pi \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(a\right) + 6 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) - 3 \, \pi \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(a\right) - \pi^{3} \mathrm{sgn}\left(b\right) + 3 \, \pi \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(b\right) - 6 \, \pi \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) + 3 \, \pi \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(b\right)\right)}^{2}}\right)} \sin\left(-\frac{1}{2} \, \pi x \mathrm{sgn}\left(a\right) + \frac{1}{2} \, \pi x \mathrm{sgn}\left(b\right)\right)\right)} e^{\left(x {\left(\log\left({\left| a \right|}\right) - \log\left({\left| b \right|}\right)\right)}\right)} + \frac{{\left(\frac{{\left(\pi^{2} i x^{2} \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - \pi^{2} i x^{2} + 2 \, i x^{2} \log\left({\left| a \right|}\right)^{2} - 4 \, i x^{2} \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) + 2 \, i x^{2} \log\left({\left| b \right|}\right)^{2} - 2 \, \pi x^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) + 2 \, \pi x^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) + 2 \, \pi x^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(b\right) - 2 \, \pi x^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) - 4 \, i x \log\left({\left| a \right|}\right) + 4 \, i x \log\left({\left| b \right|}\right) + 2 \, \pi x \mathrm{sgn}\left(a\right) - 2 \, \pi x \mathrm{sgn}\left(b\right) + 4 \, i\right)} e^{\left(\frac{1}{2} \, {\left(\pi {\left(\mathrm{sgn}\left(a\right) - 1\right)} - \pi {\left(\mathrm{sgn}\left(b\right) - 1\right)}\right)} i x\right)}}{\pi^{3} i \mathrm{sgn}\left(a\right) - 3 \, \pi i \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(a\right) + 6 \, \pi i \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) - 3 \, \pi i \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(a\right) - \pi^{3} i \mathrm{sgn}\left(b\right) + 3 \, \pi i \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(b\right) - 6 \, \pi i \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) + 3 \, \pi i \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(b\right) - 3 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) + 3 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) + 3 \, \pi^{2} \log\left({\left| a \right|}\right) - 2 \, \log\left({\left| a \right|}\right)^{3} - 3 \, \pi^{2} \log\left({\left| b \right|}\right) + 6 \, \log\left({\left| a \right|}\right)^{2} \log\left({\left| b \right|}\right) - 6 \, \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right)^{2} + 2 \, \log\left({\left| b \right|}\right)^{3}} + \frac{{\left(\pi^{2} i x^{2} \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - \pi^{2} i x^{2} + 2 \, i x^{2} \log\left({\left| a \right|}\right)^{2} - 4 \, i x^{2} \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) + 2 \, i x^{2} \log\left({\left| b \right|}\right)^{2} + 2 \, \pi x^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) - 2 \, \pi x^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) - 2 \, \pi x^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(b\right) + 2 \, \pi x^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) - 4 \, i x \log\left({\left| a \right|}\right) + 4 \, i x \log\left({\left| b \right|}\right) - 2 \, \pi x \mathrm{sgn}\left(a\right) + 2 \, \pi x \mathrm{sgn}\left(b\right) + 4 \, i\right)} e^{\left(-\frac{1}{2} \, {\left(\pi {\left(\mathrm{sgn}\left(a\right) - 1\right)} - \pi {\left(\mathrm{sgn}\left(b\right) - 1\right)}\right)} i x\right)}}{\pi^{3} i \mathrm{sgn}\left(a\right) - 3 \, \pi i \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(a\right) + 6 \, \pi i \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) - 3 \, \pi i \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(a\right) - \pi^{3} i \mathrm{sgn}\left(b\right) + 3 \, \pi i \log\left({\left| a \right|}\right)^{2} \mathrm{sgn}\left(b\right) - 6 \, \pi i \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right) \mathrm{sgn}\left(b\right) + 3 \, \pi i \log\left({\left| b \right|}\right)^{2} \mathrm{sgn}\left(b\right) + 3 \, \pi^{2} \log\left({\left| a \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 3 \, \pi^{2} \log\left({\left| b \right|}\right) \mathrm{sgn}\left(a\right) \mathrm{sgn}\left(b\right) - 3 \, \pi^{2} \log\left({\left| a \right|}\right) + 2 \, \log\left({\left| a \right|}\right)^{3} + 3 \, \pi^{2} \log\left({\left| b \right|}\right) - 6 \, \log\left({\left| a \right|}\right)^{2} \log\left({\left| b \right|}\right) + 6 \, \log\left({\left| a \right|}\right) \log\left({\left| b \right|}\right)^{2} - 2 \, \log\left({\left| b \right|}\right)^{3}}\right)} e^{\left(x {\left(\log\left({\left| a \right|}\right) - \log\left({\left| b \right|}\right)\right)}\right)}}{2 \, i}"," ",0,"(((pi^2*x^2*sgn(a)*sgn(b) - pi^2*x^2 + 2*x^2*log(abs(a))^2 - 4*x^2*log(abs(a))*log(abs(b)) + 2*x^2*log(abs(b))^2 - 4*x*log(abs(a)) + 4*x*log(abs(b)) + 4)*(3*pi^2*log(abs(a))*sgn(a)*sgn(b) - 3*pi^2*log(abs(b))*sgn(a)*sgn(b) - 3*pi^2*log(abs(a)) + 2*log(abs(a))^3 + 3*pi^2*log(abs(b)) - 6*log(abs(a))^2*log(abs(b)) + 6*log(abs(a))*log(abs(b))^2 - 2*log(abs(b))^3)/((3*pi^2*log(abs(a))*sgn(a)*sgn(b) - 3*pi^2*log(abs(b))*sgn(a)*sgn(b) - 3*pi^2*log(abs(a)) + 2*log(abs(a))^3 + 3*pi^2*log(abs(b)) - 6*log(abs(a))^2*log(abs(b)) + 6*log(abs(a))*log(abs(b))^2 - 2*log(abs(b))^3)^2 + (pi^3*sgn(a) - 3*pi*log(abs(a))^2*sgn(a) + 6*pi*log(abs(a))*log(abs(b))*sgn(a) - 3*pi*log(abs(b))^2*sgn(a) - pi^3*sgn(b) + 3*pi*log(abs(a))^2*sgn(b) - 6*pi*log(abs(a))*log(abs(b))*sgn(b) + 3*pi*log(abs(b))^2*sgn(b))^2) - 2*(pi*x^2*log(abs(a))*sgn(a) - pi*x^2*log(abs(b))*sgn(a) - pi*x^2*log(abs(a))*sgn(b) + pi*x^2*log(abs(b))*sgn(b) - pi*x*sgn(a) + pi*x*sgn(b))*(pi^3*sgn(a) - 3*pi*log(abs(a))^2*sgn(a) + 6*pi*log(abs(a))*log(abs(b))*sgn(a) - 3*pi*log(abs(b))^2*sgn(a) - pi^3*sgn(b) + 3*pi*log(abs(a))^2*sgn(b) - 6*pi*log(abs(a))*log(abs(b))*sgn(b) + 3*pi*log(abs(b))^2*sgn(b))/((3*pi^2*log(abs(a))*sgn(a)*sgn(b) - 3*pi^2*log(abs(b))*sgn(a)*sgn(b) - 3*pi^2*log(abs(a)) + 2*log(abs(a))^3 + 3*pi^2*log(abs(b)) - 6*log(abs(a))^2*log(abs(b)) + 6*log(abs(a))*log(abs(b))^2 - 2*log(abs(b))^3)^2 + (pi^3*sgn(a) - 3*pi*log(abs(a))^2*sgn(a) + 6*pi*log(abs(a))*log(abs(b))*sgn(a) - 3*pi*log(abs(b))^2*sgn(a) - pi^3*sgn(b) + 3*pi*log(abs(a))^2*sgn(b) - 6*pi*log(abs(a))*log(abs(b))*sgn(b) + 3*pi*log(abs(b))^2*sgn(b))^2))*cos(-1/2*pi*x*sgn(a) + 1/2*pi*x*sgn(b)) + (2*(pi*x^2*log(abs(a))*sgn(a) - pi*x^2*log(abs(b))*sgn(a) - pi*x^2*log(abs(a))*sgn(b) + pi*x^2*log(abs(b))*sgn(b) - pi*x*sgn(a) + pi*x*sgn(b))*(3*pi^2*log(abs(a))*sgn(a)*sgn(b) - 3*pi^2*log(abs(b))*sgn(a)*sgn(b) - 3*pi^2*log(abs(a)) + 2*log(abs(a))^3 + 3*pi^2*log(abs(b)) - 6*log(abs(a))^2*log(abs(b)) + 6*log(abs(a))*log(abs(b))^2 - 2*log(abs(b))^3)/((3*pi^2*log(abs(a))*sgn(a)*sgn(b) - 3*pi^2*log(abs(b))*sgn(a)*sgn(b) - 3*pi^2*log(abs(a)) + 2*log(abs(a))^3 + 3*pi^2*log(abs(b)) - 6*log(abs(a))^2*log(abs(b)) + 6*log(abs(a))*log(abs(b))^2 - 2*log(abs(b))^3)^2 + (pi^3*sgn(a) - 3*pi*log(abs(a))^2*sgn(a) + 6*pi*log(abs(a))*log(abs(b))*sgn(a) - 3*pi*log(abs(b))^2*sgn(a) - pi^3*sgn(b) + 3*pi*log(abs(a))^2*sgn(b) - 6*pi*log(abs(a))*log(abs(b))*sgn(b) + 3*pi*log(abs(b))^2*sgn(b))^2) + (pi^2*x^2*sgn(a)*sgn(b) - pi^2*x^2 + 2*x^2*log(abs(a))^2 - 4*x^2*log(abs(a))*log(abs(b)) + 2*x^2*log(abs(b))^2 - 4*x*log(abs(a)) + 4*x*log(abs(b)) + 4)*(pi^3*sgn(a) - 3*pi*log(abs(a))^2*sgn(a) + 6*pi*log(abs(a))*log(abs(b))*sgn(a) - 3*pi*log(abs(b))^2*sgn(a) - pi^3*sgn(b) + 3*pi*log(abs(a))^2*sgn(b) - 6*pi*log(abs(a))*log(abs(b))*sgn(b) + 3*pi*log(abs(b))^2*sgn(b))/((3*pi^2*log(abs(a))*sgn(a)*sgn(b) - 3*pi^2*log(abs(b))*sgn(a)*sgn(b) - 3*pi^2*log(abs(a)) + 2*log(abs(a))^3 + 3*pi^2*log(abs(b)) - 6*log(abs(a))^2*log(abs(b)) + 6*log(abs(a))*log(abs(b))^2 - 2*log(abs(b))^3)^2 + (pi^3*sgn(a) - 3*pi*log(abs(a))^2*sgn(a) + 6*pi*log(abs(a))*log(abs(b))*sgn(a) - 3*pi*log(abs(b))^2*sgn(a) - pi^3*sgn(b) + 3*pi*log(abs(a))^2*sgn(b) - 6*pi*log(abs(a))*log(abs(b))*sgn(b) + 3*pi*log(abs(b))^2*sgn(b))^2))*sin(-1/2*pi*x*sgn(a) + 1/2*pi*x*sgn(b)))*e^(x*(log(abs(a)) - log(abs(b)))) + 1/2*((pi^2*i*x^2*sgn(a)*sgn(b) - pi^2*i*x^2 + 2*i*x^2*log(abs(a))^2 - 4*i*x^2*log(abs(a))*log(abs(b)) + 2*i*x^2*log(abs(b))^2 - 2*pi*x^2*log(abs(a))*sgn(a) + 2*pi*x^2*log(abs(b))*sgn(a) + 2*pi*x^2*log(abs(a))*sgn(b) - 2*pi*x^2*log(abs(b))*sgn(b) - 4*i*x*log(abs(a)) + 4*i*x*log(abs(b)) + 2*pi*x*sgn(a) - 2*pi*x*sgn(b) + 4*i)*e^(1/2*(pi*(sgn(a) - 1) - pi*(sgn(b) - 1))*i*x)/(pi^3*i*sgn(a) - 3*pi*i*log(abs(a))^2*sgn(a) + 6*pi*i*log(abs(a))*log(abs(b))*sgn(a) - 3*pi*i*log(abs(b))^2*sgn(a) - pi^3*i*sgn(b) + 3*pi*i*log(abs(a))^2*sgn(b) - 6*pi*i*log(abs(a))*log(abs(b))*sgn(b) + 3*pi*i*log(abs(b))^2*sgn(b) - 3*pi^2*log(abs(a))*sgn(a)*sgn(b) + 3*pi^2*log(abs(b))*sgn(a)*sgn(b) + 3*pi^2*log(abs(a)) - 2*log(abs(a))^3 - 3*pi^2*log(abs(b)) + 6*log(abs(a))^2*log(abs(b)) - 6*log(abs(a))*log(abs(b))^2 + 2*log(abs(b))^3) + (pi^2*i*x^2*sgn(a)*sgn(b) - pi^2*i*x^2 + 2*i*x^2*log(abs(a))^2 - 4*i*x^2*log(abs(a))*log(abs(b)) + 2*i*x^2*log(abs(b))^2 + 2*pi*x^2*log(abs(a))*sgn(a) - 2*pi*x^2*log(abs(b))*sgn(a) - 2*pi*x^2*log(abs(a))*sgn(b) + 2*pi*x^2*log(abs(b))*sgn(b) - 4*i*x*log(abs(a)) + 4*i*x*log(abs(b)) - 2*pi*x*sgn(a) + 2*pi*x*sgn(b) + 4*i)*e^(-1/2*(pi*(sgn(a) - 1) - pi*(sgn(b) - 1))*i*x)/(pi^3*i*sgn(a) - 3*pi*i*log(abs(a))^2*sgn(a) + 6*pi*i*log(abs(a))*log(abs(b))*sgn(a) - 3*pi*i*log(abs(b))^2*sgn(a) - pi^3*i*sgn(b) + 3*pi*i*log(abs(a))^2*sgn(b) - 6*pi*i*log(abs(a))*log(abs(b))*sgn(b) + 3*pi*i*log(abs(b))^2*sgn(b) + 3*pi^2*log(abs(a))*sgn(a)*sgn(b) - 3*pi^2*log(abs(b))*sgn(a)*sgn(b) - 3*pi^2*log(abs(a)) + 2*log(abs(a))^3 + 3*pi^2*log(abs(b)) - 6*log(abs(a))^2*log(abs(b)) + 6*log(abs(a))*log(abs(b))^2 - 2*log(abs(b))^3))*e^(x*(log(abs(a)) - log(abs(b))))/i","B",0
572,0,0,0,0.000000," ","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=""giac"")","\int \frac{{\left(g x + f\right)}^{3} {\left(e e^{\left(i x + h\right)} + d\right)}}{c e^{\left(2 \, i x + 2 \, h\right)} + b e^{\left(i x + h\right)} + a}\,{d x}"," ",0,"integrate((g*x + f)^3*(e*e^(i*x + h) + d)/(c*e^(2*i*x + 2*h) + b*e^(i*x + h) + a), x)","F",0
573,0,0,0,0.000000," ","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=""giac"")","\int \frac{{\left(g x + f\right)}^{2} {\left(e e^{\left(i x + h\right)} + d\right)}}{c e^{\left(2 \, i x + 2 \, h\right)} + b e^{\left(i x + h\right)} + a}\,{d x}"," ",0,"integrate((g*x + f)^2*(e*e^(i*x + h) + d)/(c*e^(2*i*x + 2*h) + b*e^(i*x + h) + a), x)","F",0
574,0,0,0,0.000000," ","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=""giac"")","\int \frac{{\left(g x + f\right)} {\left(e e^{\left(i x + h\right)} + d\right)}}{c e^{\left(2 \, i x + 2 \, h\right)} + b e^{\left(i x + h\right)} + a}\,{d x}"," ",0,"integrate((g*x + f)*(e*e^(i*x + h) + d)/(c*e^(2*i*x + 2*h) + b*e^(i*x + h) + a), x)","F",0
575,1,127,0,0.258546," ","integrate((d+e*exp(i*x+h))/(a+b*exp(i*x+h)+c*exp(2*i*x+2*h)),x, algorithm=""giac"")","\frac{1}{2} \, {\left(\frac{2 \, {\left(b d e^{\left(3 \, h\right)} - 2 \, a e^{\left(3 \, h + 1\right)}\right)} \arctan\left(\frac{{\left(2 \, c e^{\left(i x + 4 \, h\right)} + b e^{\left(3 \, h\right)}\right)} e^{\left(-3 \, h\right)}}{\sqrt{-b^{2} + 4 \, a c}}\right) e^{\left(-3 \, h\right)}}{\sqrt{-b^{2} + 4 \, a c} a} + \frac{d \log\left(c e^{\left(2 \, i x + 8 \, h\right)} + b e^{\left(i x + 7 \, h\right)} + a e^{\left(6 \, h\right)}\right)}{a} - \frac{2 \, d \log\left(e^{\left(i x + 4 \, h\right)}\right)}{a}\right)} i"," ",0,"1/2*(2*(b*d*e^(3*h) - 2*a*e^(3*h + 1))*arctan((2*c*e^(i*x + 4*h) + b*e^(3*h))*e^(-3*h)/sqrt(-b^2 + 4*a*c))*e^(-3*h)/(sqrt(-b^2 + 4*a*c)*a) + d*log(c*e^(2*i*x + 8*h) + b*e^(i*x + 7*h) + a*e^(6*h))/a - 2*d*log(e^(i*x + 4*h))/a)*i","A",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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
586,1,56,0,0.273872," ","integrate(exp(log((e*x+d)^n)^2)*(e*x+d)^m,x, algorithm=""giac"")","-\frac{\sqrt{\pi} i \operatorname{erf}\left(i n \log\left(x e + d\right) + \frac{i m}{2 \, n} + \frac{i}{2 \, n}\right) e^{\left(-\frac{m^{2}}{4 \, n^{2}} - \frac{m}{2 \, n^{2}} - \frac{1}{4 \, n^{2}} - 1\right)}}{2 \, n}"," ",0,"-1/2*sqrt(pi)*i*erf(i*n*log(x*e + d) + 1/2*i*m/n + 1/2*i/n)*e^(-1/4*m^2/n^2 - 1/2*m/n^2 - 1/4/n^2 - 1)/n","A",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=""giac"")","\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=""giac"")","\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=""giac"")","\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
590,1,101,0,0.403999," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2)),x, algorithm=""giac"")","-\frac{\sqrt{\pi} F^{a f} \operatorname{erf}\left(-\sqrt{-b f \log\left(F\right)} n \log\left(x e + d\right) - \sqrt{-b f \log\left(F\right)} \log\left(c\right) - \frac{\sqrt{-b f \log\left(F\right)}}{2 \, b f n \log\left(F\right)}\right) e^{\left(-\frac{1}{4 \, b f n^{2} \log\left(F\right)} - 1\right)}}{2 \, \sqrt{-b f \log\left(F\right)} c^{\left(\frac{1}{n}\right)} n}"," ",0,"-1/2*sqrt(pi)*F^(a*f)*erf(-sqrt(-b*f*log(F))*n*log(x*e + d) - sqrt(-b*f*log(F))*log(c) - 1/2*sqrt(-b*f*log(F))/(b*f*n*log(F)))*e^(-1/4/(b*f*n^2*log(F)) - 1)/(sqrt(-b*f*log(F))*c^(1/n)*n)","A",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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
598,1,101,0,0.403192," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2)),x, algorithm=""giac"")","-\frac{\sqrt{\pi} F^{a f} \operatorname{erf}\left(-\sqrt{-b f \log\left(F\right)} n \log\left(x e + d\right) - \sqrt{-b f \log\left(F\right)} \log\left(c\right) - \frac{\sqrt{-b f \log\left(F\right)}}{2 \, b f n \log\left(F\right)}\right) e^{\left(-\frac{1}{4 \, b f n^{2} \log\left(F\right)} - 1\right)}}{2 \, \sqrt{-b f \log\left(F\right)} c^{\left(\frac{1}{n}\right)} n}"," ",0,"-1/2*sqrt(pi)*F^(a*f)*erf(-sqrt(-b*f*log(F))*n*log(x*e + d) - sqrt(-b*f*log(F))*log(c) - 1/2*sqrt(-b*f*log(F))/(b*f*n*log(F)))*e^(-1/4/(b*f*n^2*log(F)) - 1)/(sqrt(-b*f*log(F))*c^(1/n)*n)","A",0
599,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))/(h*x+g),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
605,1,116,0,0.548516," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-f \log\left(F\right)} b n \log\left(x e + d\right) - \sqrt{-f \log\left(F\right)} b \log\left(c\right) - \sqrt{-f \log\left(F\right)} a - \frac{\sqrt{-f \log\left(F\right)}}{2 \, b f n \log\left(F\right)}\right) e^{\left(-\frac{a}{b n} - \frac{1}{4 \, b^{2} f n^{2} \log\left(F\right)} - 1\right)}}{2 \, \sqrt{-f \log\left(F\right)} b c^{\left(\frac{1}{n}\right)} n}"," ",0,"-1/2*sqrt(pi)*erf(-sqrt(-f*log(F))*b*n*log(x*e + d) - sqrt(-f*log(F))*b*log(c) - sqrt(-f*log(F))*a - 1/2*sqrt(-f*log(F))/(b*f*n*log(F)))*e^(-a/(b*n) - 1/4/(b^2*f*n^2*log(F)) - 1)/(sqrt(-f*log(F))*b*c^(1/n)*n)","A",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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
613,1,116,0,0.553065," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2),x, algorithm=""giac"")","-\frac{\sqrt{\pi} \operatorname{erf}\left(-\sqrt{-f \log\left(F\right)} b n \log\left(x e + d\right) - \sqrt{-f \log\left(F\right)} b \log\left(c\right) - \sqrt{-f \log\left(F\right)} a - \frac{\sqrt{-f \log\left(F\right)}}{2 \, b f n \log\left(F\right)}\right) e^{\left(-\frac{a}{b n} - \frac{1}{4 \, b^{2} f n^{2} \log\left(F\right)} - 1\right)}}{2 \, \sqrt{-f \log\left(F\right)} b c^{\left(\frac{1}{n}\right)} n}"," ",0,"-1/2*sqrt(pi)*erf(-sqrt(-f*log(F))*b*n*log(x*e + d) - sqrt(-f*log(F))*b*log(c) - sqrt(-f*log(F))*a - 1/2*sqrt(-f*log(F))/(b*f*n*log(F)))*e^(-a/(b*n) - 1/4/(b^2*f*n^2*log(F)) - 1)/(sqrt(-f*log(F))*b*c^(1/n)*n)","A",0
614,0,0,0,0.000000," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)/(h*x+g),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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
617,1,17,0,0.229601," ","integrate(F^(c*x^3+b*x+a)*(3*c*x^2+b),x, algorithm=""giac"")","\frac{F^{c x^{3} + b x + a}}{\log\left(F\right)}"," ",0,"F^(c*x^3 + b*x + a)/log(F)","A",0
618,1,20,0,0.217987," ","integrate(F^(1/(c*x^2+b*x+a))*(2*c*x+b)/(c*x^2+b*x+a)^2,x, algorithm=""giac"")","-\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=""giac"")","\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
620,1,267,0,0.247117," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^3,x, algorithm=""giac"")","\frac{{\left(c^{6} {\left(2 \, x + \frac{b}{c}\right)}^{6} - 3 \, b^{2} c^{4} {\left(2 \, x + \frac{b}{c}\right)}^{4} + 12 \, a c^{5} {\left(2 \, x + \frac{b}{c}\right)}^{4} - 12 \, c^{5} {\left(2 \, x + \frac{b}{c}\right)}^{4} + 3 \, b^{4} c^{2} {\left(2 \, x + \frac{b}{c}\right)}^{2} - 24 \, a b^{2} c^{3} {\left(2 \, x + \frac{b}{c}\right)}^{2} + 48 \, a^{2} c^{4} {\left(2 \, x + \frac{b}{c}\right)}^{2} + 24 \, b^{2} c^{3} {\left(2 \, x + \frac{b}{c}\right)}^{2} - 96 \, a c^{4} {\left(2 \, x + \frac{b}{c}\right)}^{2} - b^{6} + 12 \, a b^{4} c - 48 \, a^{2} b^{2} c^{2} + 64 \, a^{3} c^{3} + 96 \, c^{4} {\left(2 \, x + \frac{b}{c}\right)}^{2} - 12 \, b^{4} c + 96 \, a b^{2} c^{2} - 192 \, a^{2} c^{3} - 96 \, b^{2} c^{2} + 384 \, a c^{3} - 384 \, c^{3}\right)} e^{\left(c x^{2} + b x + a\right)}}{64 \, c^{3}}"," ",0,"1/64*(c^6*(2*x + b/c)^6 - 3*b^2*c^4*(2*x + b/c)^4 + 12*a*c^5*(2*x + b/c)^4 - 12*c^5*(2*x + b/c)^4 + 3*b^4*c^2*(2*x + b/c)^2 - 24*a*b^2*c^3*(2*x + b/c)^2 + 48*a^2*c^4*(2*x + b/c)^2 + 24*b^2*c^3*(2*x + b/c)^2 - 96*a*c^4*(2*x + b/c)^2 - b^6 + 12*a*b^4*c - 48*a^2*b^2*c^2 + 64*a^3*c^3 + 96*c^4*(2*x + b/c)^2 - 12*b^4*c + 96*a*b^2*c^2 - 192*a^2*c^3 - 96*b^2*c^2 + 384*a*c^3 - 384*c^3)*e^(c*x^2 + b*x + a)/c^3","B",0
621,1,119,0,0.232434," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^2,x, algorithm=""giac"")","\frac{{\left(c^{4} {\left(2 \, x + \frac{b}{c}\right)}^{4} - 2 \, b^{2} c^{2} {\left(2 \, x + \frac{b}{c}\right)}^{2} + 8 \, a c^{3} {\left(2 \, x + \frac{b}{c}\right)}^{2} - 8 \, c^{3} {\left(2 \, x + \frac{b}{c}\right)}^{2} + b^{4} - 8 \, a b^{2} c + 16 \, a^{2} c^{2} + 8 \, b^{2} c - 32 \, a c^{2} + 32 \, c^{2}\right)} e^{\left(c x^{2} + b x + a\right)}}{16 \, c^{2}}"," ",0,"1/16*(c^4*(2*x + b/c)^4 - 2*b^2*c^2*(2*x + b/c)^2 + 8*a*c^3*(2*x + b/c)^2 - 8*c^3*(2*x + b/c)^2 + b^4 - 8*a*b^2*c + 16*a^2*c^2 + 8*b^2*c - 32*a*c^2 + 32*c^2)*e^(c*x^2 + b*x + a)/c^2","A",0
622,1,44,0,0.233987," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a),x, algorithm=""giac"")","\frac{{\left(c^{2} {\left(2 \, x + \frac{b}{c}\right)}^{2} - b^{2} + 4 \, a c - 4 \, c\right)} e^{\left(c x^{2} + b x + a\right)}}{4 \, c}"," ",0,"1/4*(c^2*(2*x + b/c)^2 - b^2 + 4*a*c - 4*c)*e^(c*x^2 + b*x + a)/c","A",0
623,1,11,0,0.212967," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b),x, algorithm=""giac"")","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=""giac"")","\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=""giac"")","\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=""giac"")","\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
627,1,93,0,0.462506," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^(7/2),x, algorithm=""giac"")","\frac{105}{16} \, \sqrt{\pi} i \operatorname{erf}\left(-\sqrt{c x^{2} + b x + a} i\right) + \frac{1}{8} \, {\left(8 \, {\left(c x^{2} + b x + a\right)}^{\frac{7}{2}} - 28 \, {\left(c x^{2} + b x + a\right)}^{\frac{5}{2}} + 70 \, {\left(c x^{2} + b x + a\right)}^{\frac{3}{2}} - 105 \, \sqrt{c x^{2} + b x + a}\right)} e^{\left(c x^{2} + b x + a\right)}"," ",0,"105/16*sqrt(pi)*i*erf(-sqrt(c*x^2 + b*x + a)*i) + 1/8*(8*(c*x^2 + b*x + a)^(7/2) - 28*(c*x^2 + b*x + a)^(5/2) + 70*(c*x^2 + b*x + a)^(3/2) - 105*sqrt(c*x^2 + b*x + a))*e^(c*x^2 + b*x + a)","A",0
628,1,79,0,0.404743," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^(5/2),x, algorithm=""giac"")","-\frac{15}{8} \, \sqrt{\pi} i \operatorname{erf}\left(-\sqrt{c x^{2} + b x + a} i\right) + \frac{1}{4} \, {\left(4 \, {\left(c x^{2} + b x + a\right)}^{\frac{5}{2}} - 10 \, {\left(c x^{2} + b x + a\right)}^{\frac{3}{2}} + 15 \, \sqrt{c x^{2} + b x + a}\right)} e^{\left(c x^{2} + b x + a\right)}"," ",0,"-15/8*sqrt(pi)*i*erf(-sqrt(c*x^2 + b*x + a)*i) + 1/4*(4*(c*x^2 + b*x + a)^(5/2) - 10*(c*x^2 + b*x + a)^(3/2) + 15*sqrt(c*x^2 + b*x + a))*e^(c*x^2 + b*x + a)","A",0
629,1,65,0,0.324214," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^(3/2),x, algorithm=""giac"")","\frac{3}{4} \, \sqrt{\pi} i \operatorname{erf}\left(-\sqrt{c x^{2} + b x + a} i\right) + \frac{1}{2} \, {\left(2 \, {\left(c x^{2} + b x + a\right)}^{\frac{3}{2}} - 3 \, \sqrt{c x^{2} + b x + a}\right)} e^{\left(c x^{2} + b x + a\right)}"," ",0,"3/4*sqrt(pi)*i*erf(-sqrt(c*x^2 + b*x + a)*i) + 1/2*(2*(c*x^2 + b*x + a)^(3/2) - 3*sqrt(c*x^2 + b*x + a))*e^(c*x^2 + b*x + a)","A",0
630,1,47,0,0.309653," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{\pi} i \operatorname{erf}\left(-\sqrt{c x^{2} + b x + a} i\right) + \sqrt{c x^{2} + b x + a} e^{\left(c x^{2} + b x + a\right)}"," ",0,"-1/2*sqrt(pi)*i*erf(-sqrt(c*x^2 + b*x + a)*i) + sqrt(c*x^2 + b*x + a)*e^(c*x^2 + b*x + a)","A",0
631,1,21,0,0.212139," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)/(c*x^2+b*x+a)^(1/2),x, algorithm=""giac"")","\sqrt{\pi} i \operatorname{erf}\left(-\sqrt{c x^{2} + b x + a} i\right)"," ",0,"sqrt(pi)*i*erf(-sqrt(c*x^2 + b*x + a)*i)","A",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=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
636,1,14,0,0.203988," ","integrate(1/exp(x)/(1-1/exp(2*x))^(1/2),x, algorithm=""giac"")","-\arctan\left(i\right) + \arctan\left(\sqrt{e^{\left(2 \, x\right)} - 1}\right)"," ",0,"-arctan(i) + arctan(sqrt(e^(2*x) - 1))","A",0
637,1,7,0,0.203521," ","integrate(exp(x)/(4+exp(2*x)),x, algorithm=""giac"")","\frac{1}{2} \, \arctan\left(\frac{1}{2} \, e^{x}\right)"," ",0,"1/2*arctan(1/2*e^x)","A",0
638,1,16,0,0.212032," ","integrate(exp(x)/(1-exp(2*x)),x, algorithm=""giac"")","\frac{1}{2} \, \log\left(e^{x} + 1\right) - \frac{1}{2} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"1/2*log(e^x + 1) - 1/2*log(abs(e^x - 1))","B",0
639,1,30,0,0.207723," ","integrate(exp(x)/(3-4*exp(2*x)),x, algorithm=""giac"")","\frac{1}{12} \, \sqrt{3} \log\left(\frac{1}{2} \, \sqrt{3} + e^{x}\right) - \frac{1}{12} \, \sqrt{3} \log\left({\left| -\frac{1}{2} \, \sqrt{3} + e^{x} \right|}\right)"," ",0,"1/12*sqrt(3)*log(1/2*sqrt(3) + e^x) - 1/12*sqrt(3)*log(abs(-1/2*sqrt(3) + e^x))","B",0
640,1,25,0,0.198367," ","integrate(exp(x)*(3-4*exp(2*x))^(1/2),x, algorithm=""giac"")","\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
641,1,11,0,0.209949," ","integrate(exp(x^2)*x^3,x, algorithm=""giac"")","\frac{1}{2} \, {\left(x^{2} - 1\right)} e^{\left(x^{2}\right)}"," ",0,"1/2*(x^2 - 1)*e^(x^2)","A",0
642,1,20,0,0.220341," ","integrate(exp(x)*(1-exp(2*x))^(1/2),x, algorithm=""giac"")","\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
643,1,21,0,0.229330," ","integrate(exp(x)/(1+exp(x)+exp(2*x))^(1/2),x, algorithm=""giac"")","-\log\left(2 \, \sqrt{e^{\left(2 \, x\right)} + e^{x} + 1} - 2 \, e^{x} - 1\right)"," ",0,"-log(2*sqrt(e^(2*x) + e^x + 1) - 2*e^x - 1)","A",0
644,1,16,0,0.221778," ","integrate(exp(x)/(-4+exp(2*x)),x, algorithm=""giac"")","-\frac{1}{4} \, \log\left(e^{x} + 2\right) + \frac{1}{4} \, \log\left({\left| e^{x} - 2 \right|}\right)"," ",0,"-1/4*log(e^x + 2) + 1/4*log(abs(e^x - 2))","B",0
645,1,10,0,0.210270," ","integrate(exp(-x^2+2)*x,x, algorithm=""giac"")","-\frac{1}{2} \, e^{\left(-x^{2} + 2\right)}"," ",0,"-1/2*e^(-x^2 + 2)","A",0
646,1,15,0,0.211501," ","integrate(exp(x)-x^E,x, algorithm=""giac"")","-\frac{x^{E + 1}}{E + 1} + e^{x}"," ",0,"-x^(E + 1)/(E + 1) + e^x","A",0
647,1,13,0,0.213317," ","integrate((-1+exp(2*x))/(3+exp(2*x)),x, algorithm=""giac"")","-\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
648,1,3,0,0.215258," ","integrate(exp(x)/(1-exp(2*x))^(1/2),x, algorithm=""giac"")","\arcsin\left(e^{x}\right)"," ",0,"arcsin(e^x)","A",0
649,1,7,0,0.213292," ","integrate(exp(2*x)/(1+exp(4*x)),x, algorithm=""giac"")","\frac{1}{2} \, \arctan\left(e^{\left(2 \, x\right)}\right)"," ",0,"1/2*arctan(e^(2*x))","A",0
650,1,18,0,0.211106," ","integrate(1/(-3*exp(x)+exp(2*x)),x, algorithm=""giac"")","-\frac{1}{9} \, x + \frac{1}{3} \, e^{\left(-x\right)} + \frac{1}{9} \, \log\left({\left| e^{x} - 3 \right|}\right)"," ",0,"-1/9*x + 1/3*e^(-x) + 1/9*log(abs(e^x - 3))","A",0
651,1,10,0,0.211548," ","integrate(exp(x)*(-2+exp(x))/(1+exp(x)),x, algorithm=""giac"")","e^{x} - 3 \, \log\left(e^{x} + 1\right)"," ",0,"e^x - 3*log(e^x + 1)","A",0
652,1,16,0,0.212790," ","integrate(exp(x)/(-1+exp(2*x)),x, algorithm=""giac"")","-\frac{1}{2} \, \log\left(e^{x} + 1\right) + \frac{1}{2} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-1/2*log(e^x + 1) + 1/2*log(abs(e^x - 1))","B",0
653,1,3,0,0.204084," ","integrate(exp(x)/(1+exp(2*x)),x, algorithm=""giac"")","\arctan\left(e^{x}\right)"," ",0,"arctan(e^x)","A",0
654,1,12,0,0.212878," ","integrate((exp(-x)+exp(x))/(-1/exp(x)+exp(x)),x, algorithm=""giac"")","-x + \log\left({\left| e^{\left(2 \, x\right)} - 1 \right|}\right)"," ",0,"-x + log(abs(e^(2*x) - 1))","A",0
655,1,11,0,0.212137," ","integrate((-1/exp(x)+exp(x))/(exp(-x)+exp(x)),x, algorithm=""giac"")","-x + \log\left(e^{\left(2 \, x\right)} + 1\right)"," ",0,"-x + log(e^(2*x) + 1)","A",0
656,1,14,0,0.215147," ","integrate((exp(-2*x)+exp(2*x))/(-1/exp(2*x)+exp(2*x)),x, algorithm=""giac"")","-x + \frac{1}{2} \, \log\left({\left| e^{\left(4 \, x\right)} - 1 \right|}\right)"," ",0,"-x + 1/2*log(abs(e^(4*x) - 1))","A",0
657,1,16,0,0.190370," ","integrate(exp(x)/(1+exp(2*x))^(1/2),x, algorithm=""giac"")","-\log\left(\sqrt{e^{\left(2 \, x\right)} + 1} - e^{x}\right)"," ",0,"-log(sqrt(e^(2*x) + 1) - e^x)","B",0
658,1,8,0,0.204395," ","integrate(exp((4+x)^(1/2))/(4+x)^(1/2),x, algorithm=""giac"")","2 \, e^{\left(\sqrt{x + 4}\right)}"," ",0,"2*e^(sqrt(x + 4))","A",0
659,1,13,0,0.225307," ","integrate(x/(-1+exp(2*x^2))^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \arctan\left(\sqrt{e^{\left(2 \, x^{2}\right)} - 1}\right)"," ",0,"1/2*arctan(sqrt(e^(2*x^2) - 1))","A",0
660,1,29,0,0.218565," ","integrate(exp(x)*(9+exp(2*x))^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{e^{\left(2 \, x\right)} + 9} e^{x} - \frac{9}{2} \, \log\left(\sqrt{e^{\left(2 \, x\right)} + 9} - e^{x}\right)"," ",0,"1/2*sqrt(e^(2*x) + 9)*e^x - 9/2*log(sqrt(e^(2*x) + 9) - e^x)","A",0
661,1,29,0,0.226431," ","integrate(exp(x)*(1+exp(2*x))^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{e^{\left(2 \, x\right)} + 1} e^{x} - \frac{1}{2} \, \log\left(\sqrt{e^{\left(2 \, x\right)} + 1} - e^{x}\right)"," ",0,"1/2*sqrt(e^(2*x) + 1)*e^x - 1/2*log(sqrt(e^(2*x) + 1) - e^x)","A",0
662,1,7,0,0.215934," ","integrate(exp(x^2)*x/(1+exp(2*x^2)),x, algorithm=""giac"")","\frac{1}{2} \, \arctan\left(e^{\left(x^{2}\right)}\right)"," ",0,"1/2*arctan(e^(x^2))","A",0
663,1,11,0,0.254537," ","integrate(exp(x^(3/2))*x^2,x, algorithm=""giac"")","\frac{2}{3} \, {\left(x^{\frac{3}{2}} - 1\right)} e^{\left(x^{\frac{3}{2}}\right)}"," ",0,"2/3*(x^(3/2) - 1)*e^(x^(3/2))","A",0
664,1,16,0,0.180100," ","integrate(exp(x)/(-3+exp(2*x))^(1/2),x, algorithm=""giac"")","-\log\left(-\sqrt{e^{\left(2 \, x\right)} - 3} + e^{x}\right)"," ",0,"-log(-sqrt(e^(2*x) - 3) + e^x)","A",0
665,1,16,0,0.192635," ","integrate(exp(x)/(16-exp(2*x)),x, algorithm=""giac"")","\frac{1}{8} \, \log\left(e^{x} + 4\right) - \frac{1}{8} \, \log\left({\left| e^{x} - 4 \right|}\right)"," ",0,"1/8*log(e^x + 4) - 1/8*log(abs(e^x - 4))","B",0
666,1,7,0,0.215334," ","integrate(exp(5*x)/(1+exp(10*x)),x, algorithm=""giac"")","\frac{1}{5} \, \arctan\left(e^{\left(5 \, x\right)}\right)"," ",0,"1/5*arctan(e^(5*x))","A",0
667,1,18,0,0.210377," ","integrate(exp(4*x)/(16+exp(8*x))^(1/2),x, algorithm=""giac"")","-\frac{1}{4} \, \log\left(\sqrt{e^{\left(8 \, x\right)} + 16} - e^{\left(4 \, x\right)}\right)"," ",0,"-1/4*log(sqrt(e^(8*x) + 16) - e^(4*x))","A",0
668,1,25,0,0.222590," ","integrate(exp(4*x^3)*x^2*cos(7*x^3),x, algorithm=""giac"")","\frac{1}{195} \, {\left(4 \, \cos\left(7 \, x^{3}\right) + 7 \, \sin\left(7 \, x^{3}\right)\right)} e^{\left(4 \, x^{3}\right)}"," ",0,"1/195*(4*cos(7*x^3) + 7*sin(7*x^3))*e^(4*x^3)","A",0
669,1,8,0,0.194318," ","integrate(exp(x^2+1)*x,x, algorithm=""giac"")","\frac{1}{2} \, e^{\left(x^{2} + 1\right)}"," ",0,"1/2*e^(x^2 + 1)","A",0
670,1,8,0,0.179635," ","integrate(exp(x^3+1)*x^2,x, algorithm=""giac"")","\frac{1}{3} \, e^{\left(x^{3} + 1\right)}"," ",0,"1/3*e^(x^3 + 1)","A",0
671,1,6,0,0.194397," ","integrate(exp(x^(1/2))/x^(1/2),x, algorithm=""giac"")","2 \, e^{\sqrt{x}}"," ",0,"2*e^sqrt(x)","A",0
672,1,6,0,0.211399," ","integrate(exp(x^(1/3))/x^(2/3),x, algorithm=""giac"")","3 \, e^{\left(x^{\frac{1}{3}}\right)}"," ",0,"3*e^(x^(1/3))","A",0
673,1,31,0,0.211332," ","integrate(exp(3*x)*(x^5+2*x^3-8),x, algorithm=""giac"")","\frac{1}{243} \, {\left(81 \, x^{5} - 135 \, x^{4} + 342 \, x^{3} - 342 \, x^{2} + 228 \, x - 724\right)} e^{\left(3 \, x\right)}"," ",0,"1/243*(81*x^5 - 135*x^4 + 342*x^3 - 342*x^2 + 228*x - 724)*e^(3*x)","A",0
674,1,19,0,0.219122," ","integrate((x+exp(x))^2,x, algorithm=""giac"")","\frac{1}{3} \, x^{3} + 2 \, {\left(x - 1\right)} e^{x} + \frac{1}{2} \, e^{\left(2 \, x\right)}"," ",0,"1/3*x^3 + 2*(x - 1)*e^x + 1/2*e^(2*x)","A",0
675,1,18,0,0.218958," ","integrate((exp(x)+exp(2*x)+exp(3*x))/exp(4*x),x, algorithm=""giac"")","-\frac{1}{6} \, {\left(6 \, e^{\left(2 \, x\right)} + 3 \, e^{x} + 2\right)} e^{\left(-3 \, x\right)}"," ",0,"-1/6*(6*e^(2*x) + 3*e^x + 2)*e^(-3*x)","A",0
676,1,8,0,0.195224," ","integrate(exp(x)/(1+2*exp(x)+exp(2*x)),x, algorithm=""giac"")","-\frac{1}{e^{x} + 1}"," ",0,"-1/(e^x + 1)","A",0
677,1,17,0,0.215592," ","integrate(cos(3*x)/exp(x),x, algorithm=""giac"")","-\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
678,1,15,0,0.212909," ","integrate(exp(2*x)/(2+3*exp(x)+exp(2*x)),x, algorithm=""giac"")","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
679,1,10,0,0.211029," ","integrate(exp(2*x)/(1+exp(x)),x, algorithm=""giac"")","e^{x} - \log\left(e^{x} + 1\right)"," ",0,"e^x - log(e^x + 1)","A",0
680,1,19,0,0.213206," ","integrate(exp(3*x)*cos(5*x),x, algorithm=""giac"")","\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
681,1,6,0,0.214145," ","integrate(exp(x)*sech(exp(x)),x, algorithm=""giac"")","2 \, \arctan\left(e^{\left(e^{x}\right)}\right)"," ",0,"2*arctan(e^(e^x))","A",0
682,1,19,0,0.211541," ","integrate(1/exp(x)/(1+2*exp(x)),x, algorithm=""giac"")","-2 \, x - e^{\left(-x\right)} + 2 \, \log\left(2 \, e^{x} + 1\right)"," ",0,"-2*x - e^(-x) + 2*log(2*e^x + 1)","A",0
683,1,19,0,0.183706," ","integrate(exp(x)*cos(4+3*x),x, algorithm=""giac"")","\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
684,1,41,0,0.201755," ","integrate(exp(x)*sec(-1+exp(x))^3,x, algorithm=""giac"")","-\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
685,1,16,0,0.179834," ","integrate((exp(-x)+exp(x))*x,x, algorithm=""giac"")","-{\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
686,1,13,0,0.210810," ","integrate(exp(x)/(2+3*exp(x)+exp(2*x)),x, algorithm=""giac"")","-\log\left(e^{x} + 2\right) + \log\left(e^{x} + 1\right)"," ",0,"-log(e^x + 2) + log(e^x + 1)","A",0
687,1,17,0,0.210472," ","integrate(exp(2*x)/(1+exp(x))^(1/3),x, algorithm=""giac"")","\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
688,1,17,0,0.213462," ","integrate(exp(2*x)/(1+exp(x))^(1/4),x, algorithm=""giac"")","\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
689,1,49,0,0.249016," ","integrate((-exp(x)+2*exp(2*x))/(-1-6*exp(x)+3*exp(2*x))^(1/2),x, algorithm=""giac"")","-\frac{1}{3} \, \sqrt{3} \log\left({\left| -\sqrt{3} e^{x} + \sqrt{3} + \sqrt{3 \, e^{\left(2 \, x\right)} - 6 \, e^{x} - 1} \right|}\right) + \frac{2}{3} \, \sqrt{3 \, e^{\left(2 \, x\right)} - 6 \, e^{x} - 1}"," ",0,"-1/3*sqrt(3)*log(abs(-sqrt(3)*e^x + sqrt(3) + sqrt(3*e^(2*x) - 6*e^x - 1))) + 2/3*sqrt(3*e^(2*x) - 6*e^x - 1)","A",0
690,1,11,0,0.193607," ","integrate(exp(x)*(x^2-5*x),x, algorithm=""giac"")","{\left(x^{2} - 7 \, x + 7\right)} e^{x}"," ",0,"(x^2 - 7*x + 7)*e^x","A",0
691,1,16,0,0.208960," ","integrate(exp(3*x)*(x^2-x),x, algorithm=""giac"")","\frac{1}{27} \, {\left(9 \, x^{2} - 15 \, x + 5\right)} e^{\left(3 \, x\right)}"," ",0,"1/27*(9*x^2 - 15*x + 5)*e^(3*x)","A",0
692,1,10,0,0.186288," ","integrate(exp(x^x)*x^(2*x)*(1+log(x)),x, algorithm=""giac"")","{\left(x^{x} - 1\right)} e^{\left(x^{x}\right)}"," ",0,"(x^x - 1)*e^(x^x)","A",0
693,1,6,0,0.225720," ","integrate((exp(5*x)+exp(7*x))/(exp(-x)+exp(x)),x, algorithm=""giac"")","\frac{1}{6} \, e^{\left(6 \, x\right)}"," ",0,"1/6*e^(6*x)","A",0
694,1,16,0,0.474962," ","integrate(x^(-2-1/x)*(1-log(x)),x, algorithm=""giac"")","-x e^{\left(-\frac{x \log\left(x\right) + \log\left(x\right)}{x}\right)}"," ",0,"-x*e^(-(x*log(x) + log(x))/x)","A",0
695,1,21,0,0.188220," ","integrate((a+b*exp(x))^2,x, algorithm=""giac"")","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
696,1,33,0,0.210516," ","integrate((a+b*exp(x))^3,x, algorithm=""giac"")","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
697,1,45,0,0.213638," ","integrate((a+b*exp(x))^4,x, algorithm=""giac"")","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
698,1,29,0,0.215200," ","integrate(1/(a+b*exp(d*x+c))^(1/2),x, algorithm=""giac"")","\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
699,1,27,0,0.215906," ","integrate(1/(-a+b*exp(d*x+c))^(1/2),x, algorithm=""giac"")","\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
700,1,44,0,0.210663," ","integrate((a+b*exp(d*x+c))^(1/2),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{a \arctan\left(\frac{\sqrt{b e^{\left(d x + c\right)} + a}}{\sqrt{-a}}\right)}{\sqrt{-a}} + \sqrt{b e^{\left(d x + c\right)} + a}\right)}}{d}"," ",0,"2*(a*arctan(sqrt(b*e^(d*x + c) + a)/sqrt(-a))/sqrt(-a) + sqrt(b*e^(d*x + c) + a))/d","A",0
701,1,45,0,0.215606," ","integrate((-a+b*exp(d*x+c))^(1/2),x, algorithm=""giac"")","-\frac{2 \, {\left(\sqrt{a} \arctan\left(\frac{\sqrt{b e^{\left(d x + c\right)} - a}}{\sqrt{a}}\right) - \sqrt{b e^{\left(d x + c\right)} - a}\right)}}{d}"," ",0,"-2*(sqrt(a)*arctan(sqrt(b*e^(d*x + c) - a)/sqrt(a)) - sqrt(b*e^(d*x + c) - a))/d","A",0
702,1,17,0,0.212719," ","integrate(exp(6*x)*sin(3*x),x, algorithm=""giac"")","-\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
703,1,8,0,0.214743," ","integrate(exp(3*x)/(1+exp(2*x)),x, algorithm=""giac"")","-\arctan\left(e^{x}\right) + e^{x}"," ",0,"-arctan(e^x) + e^x","A",0
704,1,18,0,0.210897," ","integrate(exp(3*x)/(-1+exp(2*x)),x, algorithm=""giac"")","e^{x} - \frac{1}{2} \, \log\left(e^{x} + 1\right) + \frac{1}{2} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"e^x - 1/2*log(e^x + 1) + 1/2*log(abs(e^x - 1))","B",0
705,1,21,0,0.235389," ","integrate(1/exp(x)/(1+exp(2*x))^(1/2),x, algorithm=""giac"")","\frac{2}{{\left(\sqrt{e^{\left(2 \, x\right)} + 1} - e^{x}\right)}^{2} - 1}"," ",0,"2/((sqrt(e^(2*x) + 1) - e^x)^2 - 1)","A",0
706,1,33,0,0.229778," ","integrate(exp(x)/(-1-8*exp(x)+exp(2*x)),x, algorithm=""giac"")","\frac{1}{34} \, \sqrt{17} \log\left(\frac{{\left| -2 \, \sqrt{17} + 2 \, e^{x} - 8 \right|}}{{\left| 2 \, \sqrt{17} + 2 \, e^{x} - 8 \right|}}\right)"," ",0,"1/34*sqrt(17)*log(abs(-2*sqrt(17) + 2*e^x - 8)/abs(2*sqrt(17) + 2*e^x - 8))","B",0
707,1,21,0,0.218688," ","integrate(exp(7*x)*x^3,x, algorithm=""giac"")","\frac{1}{2401} \, {\left(343 \, x^{3} - 147 \, x^{2} + 42 \, x - 6\right)} e^{\left(7 \, x\right)}"," ",0,"1/2401*(343*x^3 - 147*x^2 + 42*x - 6)*e^(7*x)","A",0
708,1,23,0,0.210731," ","integrate(exp(8-2*x)*x^3,x, algorithm=""giac"")","-\frac{1}{8} \, {\left(4 \, x^{3} + 6 \, x^{2} + 6 \, x + 3\right)} e^{\left(-2 \, x + 8\right)}"," ",0,"-1/8*(4*x^3 + 6*x^2 + 6*x + 3)*e^(-2*x + 8)","A",0
709,1,22,0,0.223451," ","integrate(exp(x)*(9-exp(2*x))^(1/2),x, algorithm=""giac"")","\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
710,1,53,0,0.210170," ","integrate(exp(6*x)*(9-exp(2*x))^(1/2),x, algorithm=""giac"")","\frac{1}{7} \, {\left(e^{\left(2 \, x\right)} - 9\right)}^{3} \sqrt{-e^{\left(2 \, x\right)} + 9} + \frac{18}{5} \, {\left(e^{\left(2 \, x\right)} - 9\right)}^{2} \sqrt{-e^{\left(2 \, x\right)} + 9} - 27 \, {\left(-e^{\left(2 \, x\right)} + 9\right)}^{\frac{3}{2}}"," ",0,"1/7*(e^(2*x) - 9)^3*sqrt(-e^(2*x) + 9) + 18/5*(e^(2*x) - 9)^2*sqrt(-e^(2*x) + 9) - 27*(-e^(2*x) + 9)^(3/2)","A",0
711,1,75,0,0.180199," ","integrate(exp(6*x)/(9-exp(x))^(5/2),x, algorithm=""giac"")","-\frac{2}{7} \, {\left(e^{x} - 9\right)}^{3} \sqrt{-e^{x} + 9} - 18 \, {\left(e^{x} - 9\right)}^{2} \sqrt{-e^{x} + 9} + 540 \, {\left(-e^{x} + 9\right)}^{\frac{3}{2}} - 14580 \, \sqrt{-e^{x} + 9} - \frac{13122 \, {\left(5 \, e^{x} - 42\right)}}{{\left(e^{x} - 9\right)} \sqrt{-e^{x} + 9}}"," ",0,"-2/7*(e^x - 9)^3*sqrt(-e^x + 9) - 18*(e^x - 9)^2*sqrt(-e^x + 9) + 540*(-e^x + 9)^(3/2) - 14580*sqrt(-e^x + 9) - 13122*(5*e^x - 42)/((e^x - 9)*sqrt(-e^x + 9))","A",0
712,1,44,0,0.218171," ","integrate((2-7*exp(x^4))^5*x^3,x, algorithm=""giac"")","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
713,1,26,0,0.224843," ","integrate(exp(x^2)*x*(1-exp(2*x^2))^(1/2),x, algorithm=""giac"")","\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
714,1,23,0,0.212423," ","integrate(exp(x^3)*(1-exp(4*x^3))^2*x^2,x, algorithm=""giac"")","\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
715,1,3,0,0.197134," ","integrate(exp(x+exp(x)),x, algorithm=""giac"")","e^{\left(e^{x}\right)}"," ",0,"e^(e^x)","A",0
716,0,0,0,0.000000," ","integrate(exp(exp(exp(x))+exp(x)+x),x, algorithm=""giac"")","\int e^{\left(x + e^{x} + e^{\left(e^{x}\right)}\right)}\,{d x}"," ",0,"integrate(e^(x + e^x + e^(e^x)), x)","F",0
717,1,24,0,0.198425," ","integrate((exp(-x)+exp(x))^2,x, algorithm=""giac"")","-\frac{1}{2} \, {\left(2 \, e^{\left(2 \, x\right)} + 1\right)} e^{\left(-2 \, x\right)} + 2 \, x + \frac{1}{2} \, e^{\left(2 \, x\right)}"," ",0,"-1/2*(2*e^(2*x) + 1)*e^(-2*x) + 2*x + 1/2*e^(2*x)","A",0
718,1,3,0,0.198028," ","integrate(1/(exp(-x)+exp(x)),x, algorithm=""giac"")","\arctan\left(e^{x}\right)"," ",0,"arctan(e^x)","A",0
719,1,10,0,0.201834," ","integrate(1/(exp(-x)+exp(x))^2,x, algorithm=""giac"")","-\frac{1}{2 \, {\left(e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"-1/2/(e^(2*x) + 1)","A",0
720,1,16,0,0.193866," ","integrate(1/(-1/exp(x)+exp(x)),x, algorithm=""giac"")","-\frac{1}{2} \, \log\left(e^{x} + 1\right) + \frac{1}{2} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-1/2*log(e^x + 1) + 1/2*log(abs(e^x - 1))","B",0
721,1,10,0,0.198624," ","integrate(1/(-1/exp(x)+exp(x))^2,x, algorithm=""giac"")","-\frac{1}{2 \, {\left(e^{\left(2 \, x\right)} - 1\right)}}"," ",0,"-1/2/(e^(2*x) - 1)","A",0
722,1,17,0,0.210499," ","integrate(exp(x)*(-1/exp(x)+exp(x))^2,x, algorithm=""giac"")","\frac{1}{3} \, e^{\left(3 \, x\right)} - e^{\left(-x\right)} - 2 \, e^{x}"," ",0,"1/3*e^(3*x) - e^(-x) - 2*e^x","A",0
723,1,30,0,0.211128," ","integrate(exp(x)*(-1/exp(x)+exp(x))^3,x, algorithm=""giac"")","-\frac{1}{2} \, {\left(3 \, e^{\left(2 \, x\right)} - 1\right)} e^{\left(-2 \, x\right)} + 3 \, x + \frac{1}{4} \, e^{\left(4 \, x\right)} - \frac{3}{2} \, e^{\left(2 \, x\right)}"," ",0,"-1/2*(3*e^(2*x) - 1)*e^(-2*x) + 3*x + 1/4*e^(4*x) - 3/2*e^(2*x)","A",0
724,0,0,0,0.000000," ","integrate((1+4^x)/(1+2^x),x, algorithm=""giac"")","\int \frac{4^{x} + 1}{2^{x} + 1}\,{d x}"," ",0,"integrate((4^x + 1)/(2^x + 1), x)","F",0
725,0,0,0,0.000000," ","integrate((1+4^x)/(1+1/(2^x)),x, algorithm=""giac"")","\int \frac{4^{x} + 1}{\frac{1}{2^{x}} + 1}\,{d x}"," ",0,"integrate((4^x + 1)/(1/2^x + 1), x)","F",0
726,0,0,0,0.000000," ","integrate(exp((a+x)^2)/x^2-2*a*exp((a+x)^2)/x,x, algorithm=""giac"")","\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
727,1,35,0,0.211545," ","integrate((x^8+x^6+x^4)/exp(x^2),x, algorithm=""giac"")","-\frac{1}{16} \, {\left(8 \, x^{7} + 36 \, x^{5} + 98 \, x^{3} + 147 \, x\right)} e^{\left(-x^{2}\right)} + \frac{147}{32} \, \sqrt{\pi} \operatorname{erf}\left(x\right)"," ",0,"-1/16*(8*x^7 + 36*x^5 + 98*x^3 + 147*x)*e^(-x^2) + 147/32*sqrt(pi)*erf(x)","A",0
728,1,20,0,0.212710," ","integrate(1/(-exp(x)+exp(3*x)),x, algorithm=""giac"")","e^{\left(-x\right)} - \frac{1}{2} \, \log\left(e^{x} + 1\right) + \frac{1}{2} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"e^(-x) - 1/2*log(e^x + 1) + 1/2*log(abs(e^x - 1))","A",0
729,1,54,0,0.224246," ","integrate(exp(x)*(x^2+x-5)/(-1+x)^2,x, algorithm=""giac"")","\frac{{\left(x - 1\right)} {\left(\frac{1}{x - 1} + 1\right)} e^{\left({\left(x - 1\right)} {\left(\frac{1}{x - 1} + 1\right)}\right)} + 2 \, e^{\left({\left(x - 1\right)} {\left(\frac{1}{x - 1} + 1\right)}\right)}}{{\left(x - 1\right)} {\left(\frac{1}{x - 1} + 1\right)} - 1}"," ",0,"((x - 1)*(1/(x - 1) + 1)*e^((x - 1)*(1/(x - 1) + 1)) + 2*e^((x - 1)*(1/(x - 1) + 1)))/((x - 1)*(1/(x - 1) + 1) - 1)","B",0
730,1,13,0,0.213895," ","integrate(exp(x^2)*x^3/(x^2+1)^2,x, algorithm=""giac"")","\frac{e^{\left(x^{2}\right)}}{2 \, {\left(x^{2} + 1\right)}}"," ",0,"1/2*e^(x^2)/(x^2 + 1)","A",0
731,1,33,0,0.223600," ","integrate(exp(3*x)/(25+16*exp(2*x))^(1/2),x, algorithm=""giac"")","\frac{1}{32} \, \sqrt{16 \, e^{\left(2 \, x\right)} + 25} e^{x} + \frac{25}{128} \, \log\left(\sqrt{16 \, e^{\left(2 \, x\right)} + 25} - 4 \, e^{x}\right)"," ",0,"1/32*sqrt(16*e^(2*x) + 25)*e^x + 25/128*log(sqrt(16*e^(2*x) + 25) - 4*e^x)","A",0
732,1,8,0,0.184688," ","integrate((1+exp(x))/(x+exp(x))^(1/2),x, algorithm=""giac"")","2 \, \sqrt{x + e^{x}}"," ",0,"2*sqrt(x + e^x)","A",0
733,1,5,0,0.207560," ","integrate((1+exp(x))/(x+exp(x)),x, algorithm=""giac"")","\log\left(x + e^{x}\right)"," ",0,"log(x + e^x)","A",0
734,0,0,0,0.000000," ","integrate(exp(x^2)/x^2,x, algorithm=""giac"")","\int \frac{e^{\left(x^{2}\right)}}{x^{2}}\,{d x}"," ",0,"integrate(e^(x^2)/x^2, x)","F",0
735,1,20,0,0.213499," ","integrate(exp(x^2)*(4*x^4+1)/x^2,x, algorithm=""giac"")","\frac{2 \, x^{2} e^{\left(x^{2}\right)} - e^{\left(x^{2}\right)}}{x}"," ",0,"(2*x^2*e^(x^2) - e^(x^2))/x","A",0
736,1,1415,0,0.300402," ","integrate((b*x+a)^2*(f^x)^(1/2),x, algorithm=""giac"")","-2 \, {\left({\left(\frac{2 \, {\left(\pi b^{2} x^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi b^{2} x^{2} \log\left({\left| f \right|}\right) + 2 \, \pi a b x \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 2 \, \pi a b x \log\left({\left| f \right|}\right) - 2 \, \pi b^{2} x \mathrm{sgn}\left(f\right) + \pi a^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) + 2 \, \pi b^{2} x - \pi a^{2} \log\left({\left| f \right|}\right) - 2 \, \pi a b \mathrm{sgn}\left(f\right) + 2 \, \pi a b\right)} {\left(\pi^{3} \mathrm{sgn}\left(f\right) - 3 \, \pi \log\left({\left| f \right|}\right)^{2} \mathrm{sgn}\left(f\right) - \pi^{3} + 3 \, \pi \log\left({\left| f \right|}\right)^{2}\right)}}{{\left(\pi^{3} \mathrm{sgn}\left(f\right) - 3 \, \pi \log\left({\left| f \right|}\right)^{2} \mathrm{sgn}\left(f\right) - \pi^{3} + 3 \, \pi \log\left({\left| f \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 3 \, \pi^{2} \log\left({\left| f \right|}\right) + 2 \, \log\left({\left| f \right|}\right)^{3}\right)}^{2}} - \frac{{\left(\pi^{2} b^{2} x^{2} \mathrm{sgn}\left(f\right) - \pi^{2} b^{2} x^{2} + 2 \, b^{2} x^{2} \log\left({\left| f \right|}\right)^{2} + 2 \, \pi^{2} a b x \mathrm{sgn}\left(f\right) - 2 \, \pi^{2} a b x + 4 \, a b x \log\left({\left| f \right|}\right)^{2} + \pi^{2} a^{2} \mathrm{sgn}\left(f\right) - \pi^{2} a^{2} - 8 \, b^{2} x \log\left({\left| f \right|}\right) + 2 \, a^{2} \log\left({\left| f \right|}\right)^{2} - 8 \, a b \log\left({\left| f \right|}\right) + 16 \, b^{2}\right)} {\left(3 \, \pi^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 3 \, \pi^{2} \log\left({\left| f \right|}\right) + 2 \, \log\left({\left| f \right|}\right)^{3}\right)}}{{\left(\pi^{3} \mathrm{sgn}\left(f\right) - 3 \, \pi \log\left({\left| f \right|}\right)^{2} \mathrm{sgn}\left(f\right) - \pi^{3} + 3 \, \pi \log\left({\left| f \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 3 \, \pi^{2} \log\left({\left| f \right|}\right) + 2 \, \log\left({\left| f \right|}\right)^{3}\right)}^{2}}\right)} \cos\left(-\frac{1}{4} \, \pi x \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi x\right) - {\left(\frac{{\left(\pi^{2} b^{2} x^{2} \mathrm{sgn}\left(f\right) - \pi^{2} b^{2} x^{2} + 2 \, b^{2} x^{2} \log\left({\left| f \right|}\right)^{2} + 2 \, \pi^{2} a b x \mathrm{sgn}\left(f\right) - 2 \, \pi^{2} a b x + 4 \, a b x \log\left({\left| f \right|}\right)^{2} + \pi^{2} a^{2} \mathrm{sgn}\left(f\right) - \pi^{2} a^{2} - 8 \, b^{2} x \log\left({\left| f \right|}\right) + 2 \, a^{2} \log\left({\left| f \right|}\right)^{2} - 8 \, a b \log\left({\left| f \right|}\right) + 16 \, b^{2}\right)} {\left(\pi^{3} \mathrm{sgn}\left(f\right) - 3 \, \pi \log\left({\left| f \right|}\right)^{2} \mathrm{sgn}\left(f\right) - \pi^{3} + 3 \, \pi \log\left({\left| f \right|}\right)^{2}\right)}}{{\left(\pi^{3} \mathrm{sgn}\left(f\right) - 3 \, \pi \log\left({\left| f \right|}\right)^{2} \mathrm{sgn}\left(f\right) - \pi^{3} + 3 \, \pi \log\left({\left| f \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 3 \, \pi^{2} \log\left({\left| f \right|}\right) + 2 \, \log\left({\left| f \right|}\right)^{3}\right)}^{2}} + \frac{2 \, {\left(\pi b^{2} x^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi b^{2} x^{2} \log\left({\left| f \right|}\right) + 2 \, \pi a b x \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 2 \, \pi a b x \log\left({\left| f \right|}\right) - 2 \, \pi b^{2} x \mathrm{sgn}\left(f\right) + \pi a^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) + 2 \, \pi b^{2} x - \pi a^{2} \log\left({\left| f \right|}\right) - 2 \, \pi a b \mathrm{sgn}\left(f\right) + 2 \, \pi a b\right)} {\left(3 \, \pi^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 3 \, \pi^{2} \log\left({\left| f \right|}\right) + 2 \, \log\left({\left| f \right|}\right)^{3}\right)}}{{\left(\pi^{3} \mathrm{sgn}\left(f\right) - 3 \, \pi \log\left({\left| f \right|}\right)^{2} \mathrm{sgn}\left(f\right) - \pi^{3} + 3 \, \pi \log\left({\left| f \right|}\right)^{2}\right)}^{2} + {\left(3 \, \pi^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 3 \, \pi^{2} \log\left({\left| f \right|}\right) + 2 \, \log\left({\left| f \right|}\right)^{3}\right)}^{2}}\right)} \sin\left(-\frac{1}{4} \, \pi x \mathrm{sgn}\left(f\right) + \frac{1}{4} \, \pi x\right)\right)} {\left| f \right|}^{\frac{1}{2} \, x} + \frac{{\left| f \right|}^{\frac{1}{2} \, x} {\left(\frac{{\left(\pi^{2} b^{2} i x^{2} \mathrm{sgn}\left(f\right) - \pi^{2} b^{2} i x^{2} + 2 \, b^{2} i x^{2} \log\left({\left| f \right|}\right)^{2} + 2 \, \pi^{2} a b i x \mathrm{sgn}\left(f\right) - 2 \, \pi b^{2} x^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 2 \, \pi^{2} a b i x + 2 \, \pi b^{2} x^{2} \log\left({\left| f \right|}\right) + 4 \, a b i x \log\left({\left| f \right|}\right)^{2} + \pi^{2} a^{2} i \mathrm{sgn}\left(f\right) - 4 \, \pi a b x \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi^{2} a^{2} i + 4 \, \pi a b x \log\left({\left| f \right|}\right) - 8 \, b^{2} i x \log\left({\left| f \right|}\right) + 2 \, a^{2} i \log\left({\left| f \right|}\right)^{2} + 4 \, \pi b^{2} x \mathrm{sgn}\left(f\right) - 2 \, \pi a^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 4 \, \pi b^{2} x + 2 \, \pi a^{2} \log\left({\left| f \right|}\right) - 8 \, a b i \log\left({\left| f \right|}\right) + 4 \, \pi a b \mathrm{sgn}\left(f\right) - 4 \, \pi a b + 16 \, b^{2} i\right)} e^{\left(\frac{1}{4} \, \pi i x {\left(\mathrm{sgn}\left(f\right) - 1\right)}\right)}}{\pi^{3} i \mathrm{sgn}\left(f\right) - 3 \, \pi i \log\left({\left| f \right|}\right)^{2} \mathrm{sgn}\left(f\right) - \pi^{3} i + 3 \, \pi i \log\left({\left| f \right|}\right)^{2} - 3 \, \pi^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) + 3 \, \pi^{2} \log\left({\left| f \right|}\right) - 2 \, \log\left({\left| f \right|}\right)^{3}} + \frac{{\left(\pi^{2} b^{2} i x^{2} \mathrm{sgn}\left(f\right) - \pi^{2} b^{2} i x^{2} + 2 \, b^{2} i x^{2} \log\left({\left| f \right|}\right)^{2} + 2 \, \pi^{2} a b i x \mathrm{sgn}\left(f\right) + 2 \, \pi b^{2} x^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 2 \, \pi^{2} a b i x - 2 \, \pi b^{2} x^{2} \log\left({\left| f \right|}\right) + 4 \, a b i x \log\left({\left| f \right|}\right)^{2} + \pi^{2} a^{2} i \mathrm{sgn}\left(f\right) + 4 \, \pi a b x \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - \pi^{2} a^{2} i - 4 \, \pi a b x \log\left({\left| f \right|}\right) - 8 \, b^{2} i x \log\left({\left| f \right|}\right) + 2 \, a^{2} i \log\left({\left| f \right|}\right)^{2} - 4 \, \pi b^{2} x \mathrm{sgn}\left(f\right) + 2 \, \pi a^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) + 4 \, \pi b^{2} x - 2 \, \pi a^{2} \log\left({\left| f \right|}\right) - 8 \, a b i \log\left({\left| f \right|}\right) - 4 \, \pi a b \mathrm{sgn}\left(f\right) + 4 \, \pi a b + 16 \, b^{2} i\right)} e^{\left(-\frac{1}{4} \, \pi i x {\left(\mathrm{sgn}\left(f\right) - 1\right)}\right)}}{\pi^{3} i \mathrm{sgn}\left(f\right) - 3 \, \pi i \log\left({\left| f \right|}\right)^{2} \mathrm{sgn}\left(f\right) - \pi^{3} i + 3 \, \pi i \log\left({\left| f \right|}\right)^{2} + 3 \, \pi^{2} \log\left({\left| f \right|}\right) \mathrm{sgn}\left(f\right) - 3 \, \pi^{2} \log\left({\left| f \right|}\right) + 2 \, \log\left({\left| f \right|}\right)^{3}}\right)}}{i}"," ",0,"-2*((2*(pi*b^2*x^2*log(abs(f))*sgn(f) - pi*b^2*x^2*log(abs(f)) + 2*pi*a*b*x*log(abs(f))*sgn(f) - 2*pi*a*b*x*log(abs(f)) - 2*pi*b^2*x*sgn(f) + pi*a^2*log(abs(f))*sgn(f) + 2*pi*b^2*x - pi*a^2*log(abs(f)) - 2*pi*a*b*sgn(f) + 2*pi*a*b)*(pi^3*sgn(f) - 3*pi*log(abs(f))^2*sgn(f) - pi^3 + 3*pi*log(abs(f))^2)/((pi^3*sgn(f) - 3*pi*log(abs(f))^2*sgn(f) - pi^3 + 3*pi*log(abs(f))^2)^2 + (3*pi^2*log(abs(f))*sgn(f) - 3*pi^2*log(abs(f)) + 2*log(abs(f))^3)^2) - (pi^2*b^2*x^2*sgn(f) - pi^2*b^2*x^2 + 2*b^2*x^2*log(abs(f))^2 + 2*pi^2*a*b*x*sgn(f) - 2*pi^2*a*b*x + 4*a*b*x*log(abs(f))^2 + pi^2*a^2*sgn(f) - pi^2*a^2 - 8*b^2*x*log(abs(f)) + 2*a^2*log(abs(f))^2 - 8*a*b*log(abs(f)) + 16*b^2)*(3*pi^2*log(abs(f))*sgn(f) - 3*pi^2*log(abs(f)) + 2*log(abs(f))^3)/((pi^3*sgn(f) - 3*pi*log(abs(f))^2*sgn(f) - pi^3 + 3*pi*log(abs(f))^2)^2 + (3*pi^2*log(abs(f))*sgn(f) - 3*pi^2*log(abs(f)) + 2*log(abs(f))^3)^2))*cos(-1/4*pi*x*sgn(f) + 1/4*pi*x) - ((pi^2*b^2*x^2*sgn(f) - pi^2*b^2*x^2 + 2*b^2*x^2*log(abs(f))^2 + 2*pi^2*a*b*x*sgn(f) - 2*pi^2*a*b*x + 4*a*b*x*log(abs(f))^2 + pi^2*a^2*sgn(f) - pi^2*a^2 - 8*b^2*x*log(abs(f)) + 2*a^2*log(abs(f))^2 - 8*a*b*log(abs(f)) + 16*b^2)*(pi^3*sgn(f) - 3*pi*log(abs(f))^2*sgn(f) - pi^3 + 3*pi*log(abs(f))^2)/((pi^3*sgn(f) - 3*pi*log(abs(f))^2*sgn(f) - pi^3 + 3*pi*log(abs(f))^2)^2 + (3*pi^2*log(abs(f))*sgn(f) - 3*pi^2*log(abs(f)) + 2*log(abs(f))^3)^2) + 2*(pi*b^2*x^2*log(abs(f))*sgn(f) - pi*b^2*x^2*log(abs(f)) + 2*pi*a*b*x*log(abs(f))*sgn(f) - 2*pi*a*b*x*log(abs(f)) - 2*pi*b^2*x*sgn(f) + pi*a^2*log(abs(f))*sgn(f) + 2*pi*b^2*x - pi*a^2*log(abs(f)) - 2*pi*a*b*sgn(f) + 2*pi*a*b)*(3*pi^2*log(abs(f))*sgn(f) - 3*pi^2*log(abs(f)) + 2*log(abs(f))^3)/((pi^3*sgn(f) - 3*pi*log(abs(f))^2*sgn(f) - pi^3 + 3*pi*log(abs(f))^2)^2 + (3*pi^2*log(abs(f))*sgn(f) - 3*pi^2*log(abs(f)) + 2*log(abs(f))^3)^2))*sin(-1/4*pi*x*sgn(f) + 1/4*pi*x))*abs(f)^(1/2*x) + abs(f)^(1/2*x)*((pi^2*b^2*i*x^2*sgn(f) - pi^2*b^2*i*x^2 + 2*b^2*i*x^2*log(abs(f))^2 + 2*pi^2*a*b*i*x*sgn(f) - 2*pi*b^2*x^2*log(abs(f))*sgn(f) - 2*pi^2*a*b*i*x + 2*pi*b^2*x^2*log(abs(f)) + 4*a*b*i*x*log(abs(f))^2 + pi^2*a^2*i*sgn(f) - 4*pi*a*b*x*log(abs(f))*sgn(f) - pi^2*a^2*i + 4*pi*a*b*x*log(abs(f)) - 8*b^2*i*x*log(abs(f)) + 2*a^2*i*log(abs(f))^2 + 4*pi*b^2*x*sgn(f) - 2*pi*a^2*log(abs(f))*sgn(f) - 4*pi*b^2*x + 2*pi*a^2*log(abs(f)) - 8*a*b*i*log(abs(f)) + 4*pi*a*b*sgn(f) - 4*pi*a*b + 16*b^2*i)*e^(1/4*pi*i*x*(sgn(f) - 1))/(pi^3*i*sgn(f) - 3*pi*i*log(abs(f))^2*sgn(f) - pi^3*i + 3*pi*i*log(abs(f))^2 - 3*pi^2*log(abs(f))*sgn(f) + 3*pi^2*log(abs(f)) - 2*log(abs(f))^3) + (pi^2*b^2*i*x^2*sgn(f) - pi^2*b^2*i*x^2 + 2*b^2*i*x^2*log(abs(f))^2 + 2*pi^2*a*b*i*x*sgn(f) + 2*pi*b^2*x^2*log(abs(f))*sgn(f) - 2*pi^2*a*b*i*x - 2*pi*b^2*x^2*log(abs(f)) + 4*a*b*i*x*log(abs(f))^2 + pi^2*a^2*i*sgn(f) + 4*pi*a*b*x*log(abs(f))*sgn(f) - pi^2*a^2*i - 4*pi*a*b*x*log(abs(f)) - 8*b^2*i*x*log(abs(f)) + 2*a^2*i*log(abs(f))^2 - 4*pi*b^2*x*sgn(f) + 2*pi*a^2*log(abs(f))*sgn(f) + 4*pi*b^2*x - 2*pi*a^2*log(abs(f)) - 8*a*b*i*log(abs(f)) - 4*pi*a*b*sgn(f) + 4*pi*a*b + 16*b^2*i)*e^(-1/4*pi*i*x*(sgn(f) - 1))/(pi^3*i*sgn(f) - 3*pi*i*log(abs(f))^2*sgn(f) - pi^3*i + 3*pi*i*log(abs(f))^2 + 3*pi^2*log(abs(f))*sgn(f) - 3*pi^2*log(abs(f)) + 2*log(abs(f))^3))/i","B",0
737,1,13,0,0.209617," ","integrate(3^(x^2+1)*x,x, algorithm=""giac"")","\frac{3^{x^{2} + 1}}{2 \, \log\left(3\right)}"," ",0,"1/2*3^(x^2 + 1)/log(3)","A",0
738,1,11,0,0.176925," ","integrate(2^(x^(1/2))/x^(1/2),x, algorithm=""giac"")","\frac{2 \cdot 2^{\left(\sqrt{x}\right)}}{\log\left(2\right)}"," ",0,"2*2^sqrt(x)/log(2)","A",0
739,1,11,0,0.182148," ","integrate(2^(1/x)/x^2,x, algorithm=""giac"")","-\frac{2^{\left(\frac{1}{x}\right)}}{\log\left(2\right)}"," ",0,"-2^(1/x)/log(2)","A",0
740,1,20,0,0.209080," ","integrate(1/(2^x)+2^x,x, algorithm=""giac"")","\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
741,1,16,0,0.212009," ","integrate((x^2-3*x+2)/exp(4*x),x, algorithm=""giac"")","-\frac{1}{32} \, {\left(8 \, x^{2} - 20 \, x + 11\right)} e^{\left(-4 \, x\right)}"," ",0,"-1/32*(8*x^2 - 20*x + 11)*e^(-4*x)","A",0
742,1,27,0,0.192656," ","integrate(k^(1/2*x)+x^(k^(1/2)),x, algorithm=""giac"")","\frac{x^{\sqrt{k} + 1}}{\sqrt{k} + 1} + \frac{2 \, \sqrt{k^{x}}}{\log\left(k\right)}"," ",0,"x^(sqrt(k) + 1)/(sqrt(k) + 1) + 2*sqrt(k^x)/log(k)","A",0
743,1,11,0,0.181775," ","integrate(10^(x^(1/2))/x^(1/2),x, algorithm=""giac"")","\frac{2 \cdot 10^{\left(\sqrt{x}\right)}}{\log\left(10\right)}"," ",0,"2*10^sqrt(x)/log(10)","A",0
744,1,8,0,0.226653," ","integrate(exp(x)/(x+exp(x))^(1/2)+1/(x+exp(x))^(1/2),x, algorithm=""giac"")","2 \, \sqrt{x + e^{x}}"," ",0,"2*sqrt(x + e^x)","A",0
745,0,0,0,0.000000," ","integrate((1+exp(x))*x/(x+exp(x))^(1/2)+2*(x+exp(x))^(1/2),x, algorithm=""giac"")","\int \frac{x {\left(e^{x} + 1\right)}}{\sqrt{x + e^{x}}} + 2 \, \sqrt{x + e^{x}}\,{d x}"," ",0,"integrate(x*(e^x + 1)/sqrt(x + e^x) + 2*sqrt(x + e^x), x)","F",0
746,0,0,0,0.000000," ","integrate(x/(x+exp(x))^(1/2)+exp(x)*x/(x+exp(x))^(1/2)+2*(x+exp(x))^(1/2),x, algorithm=""giac"")","\int \frac{x e^{x}}{\sqrt{x + e^{x}}} + 2 \, \sqrt{x + e^{x}} + \frac{x}{\sqrt{x + e^{x}}}\,{d x}"," ",0,"integrate(x*e^x/sqrt(x + e^x) + 2*sqrt(x + e^x) + x/sqrt(x + e^x), x)","F",0
747,0,0,0,0.000000," ","integrate((1+exp(x))*x/(x+exp(x))^(1/2),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\int \frac{x e^{x}}{\sqrt{x + e^{x}}}\,{d x}"," ",0,"integrate(x*e^x/sqrt(x + e^x), x)","F",0
750,0,0,0,0.000000," ","integrate(1/5*x^2*(5*exp(x)+3*x^2)/(5*exp(x)+x^3)^(1/2)+4/5*x*(5*exp(x)+x^3)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(3 \, x^{2} + 5 \, e^{x}\right)} x^{2}}{5 \, \sqrt{x^{3} + 5 \, e^{x}}} + \frac{4}{5} \, \sqrt{x^{3} + 5 \, e^{x}} x\,{d x}"," ",0,"integrate(1/5*(3*x^2 + 5*e^x)*x^2/sqrt(x^3 + 5*e^x) + 4/5*sqrt(x^3 + 5*e^x)*x, x)","F",0
751,0,0,0,0.000000," ","integrate(exp(x)*x^2/(5*exp(x)+x^3)^(1/2),x, algorithm=""giac"")","\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
752,1,8,0,0.213127," ","integrate((-1-exp(x))/(x+exp(x))^(1/3),x, algorithm=""giac"")","-\frac{3}{2} \, {\left(x + e^{x}\right)}^{\frac{2}{3}}"," ",0,"-3/2*(x + e^x)^(2/3)","A",0
753,0,0,0,0.000000," ","integrate(-1/(x+exp(x))^(1/3)+x/(x+exp(x))^(1/3)-(x+exp(x))^(2/3),x, algorithm=""giac"")","\int -{\left(x + e^{x}\right)}^{\frac{2}{3}} + \frac{x}{{\left(x + e^{x}\right)}^{\frac{1}{3}}} - \frac{1}{{\left(x + e^{x}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(-(x + e^x)^(2/3) + x/(x + e^x)^(1/3) - 1/(x + e^x)^(1/3), x)","F",0
754,0,0,0,0.000000," ","integrate(x/(x+exp(x))^(1/3),x, algorithm=""giac"")","\int \frac{x}{{\left(x + e^{x}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(x/(x + e^x)^(1/3), x)","F",0
755,0,0,0,0.000000," ","integrate((5*x+exp(x)*(3+2*x))/(x+exp(x))^(1/3),x, algorithm=""giac"")","\int \frac{{\left(2 \, x + 3\right)} e^{x} + 5 \, x}{{\left(x + e^{x}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(((2*x + 3)*e^x + 5*x)/(x + e^x)^(1/3), x)","F",0
756,0,0,0,0.000000," ","integrate(2*x/(x+exp(x))^(1/3)+2*exp(x)*x/(x+exp(x))^(1/3)+3*(x+exp(x))^(2/3),x, algorithm=""giac"")","\int \frac{2 \, x e^{x}}{{\left(x + e^{x}\right)}^{\frac{1}{3}}} + 3 \, {\left(x + e^{x}\right)}^{\frac{2}{3}} + \frac{2 \, x}{{\left(x + e^{x}\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(2*x*e^x/(x + e^x)^(1/3) + 3*(x + e^x)^(2/3) + 2*x/(x + e^x)^(1/3), x)","F",0
757,1,28,0,0.212271," ","integrate(exp(x)*(-1/exp(x)+exp(x))*(exp(-x)+exp(x))^2,x, algorithm=""giac"")","\frac{1}{2} \, {\left(e^{\left(2 \, x\right)} + 1\right)} e^{\left(-2 \, x\right)} - x + \frac{1}{4} \, e^{\left(4 \, x\right)} + \frac{1}{2} \, e^{\left(2 \, x\right)}"," ",0,"1/2*(e^(2*x) + 1)*e^(-2*x) - x + 1/4*e^(4*x) + 1/2*e^(2*x)","A",0
758,0,0,0,0.000000," ","integrate(x/(x+exp(x)),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\int \frac{e^{x}}{x + e^{x}}\,{d x}"," ",0,"integrate(e^x/(x + e^x), x)","F",0
761,0,0,0,0.000000," ","integrate(exp(x)/(exp(x)+x^2),x, algorithm=""giac"")","\int \frac{e^{x}}{x^{2} + e^{x}}\,{d x}"," ",0,"integrate(e^x/(x^2 + e^x), x)","F",0
762,0,0,0,0.000000," ","integrate(F0(x)/(x+F0(x)),x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\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=""giac"")","\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
766,1,47,0,0.733243," ","integrate((a*F^(d*x+c))^m*(b*F^(f*x+e))^n,x, algorithm=""giac"")","\frac{e^{\left(d m x \log\left(F\right) + f n x \log\left(F\right) + c m \log\left(F\right) + n e \log\left(F\right) + m \log\left(a\right) + n \log\left(b\right)\right)}}{d m \log\left(F\right) + f n \log\left(F\right)}"," ",0,"e^(d*m*x*log(F) + f*n*x*log(F) + c*m*log(F) + n*e*log(F) + m*log(a) + n*log(b))/(d*m*log(F) + f*n*log(F))","A",0
767,0,0,0,0.000000," ","integrate(exp(a+c+b*x^n+d*x^n),x, algorithm=""giac"")","\int e^{\left(b x^{n} + d x^{n} + a + c\right)}\,{d x}"," ",0,"integrate(e^(b*x^n + d*x^n + a + c), x)","F",0
768,0,0,0,0.000000," ","integrate(f^(a+b*x^n)*g^(c+d*x^n),x, algorithm=""giac"")","\int f^{b x^{n} + a} g^{d x^{n} + c}\,{d x}"," ",0,"integrate(f^(b*x^n + a)*g^(d*x^n + c), x)","F",0
769,0,0,0,0.000000," ","integrate(exp(x^n)*x^m,x, algorithm=""giac"")","\int x^{m} e^{\left(x^{n}\right)}\,{d x}"," ",0,"integrate(x^m*e^(x^n), x)","F",0
770,0,0,0,0.000000," ","integrate(f^(x^n)*x^m,x, algorithm=""giac"")","\int f^{\left(x^{n}\right)} x^{m}\,{d x}"," ",0,"integrate(f^(x^n)*x^m, x)","F",0
771,0,0,0,0.000000," ","integrate(exp((b*x+a)^n)*(b*x+a)^m,x, algorithm=""giac"")","\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=""giac"")","\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=""giac"")","\int x e^{\left({\left(b x + a\right)}^{3}\right)}\,{d x}"," ",0,"integrate(x*e^((b*x + a)^3), x)","F",0
774,0,0,0,0.000000," ","integrate((5*x^2+3*(x+exp(x))^(1/3)+exp(x)*(2*x^2+3*x))/x/(x+exp(x))^(1/3),x, algorithm=""giac"")","\int \frac{5 \, x^{2} + {\left(2 \, x^{2} + 3 \, x\right)} e^{x} + 3 \, {\left(x + e^{x}\right)}^{\frac{1}{3}}}{{\left(x + e^{x}\right)}^{\frac{1}{3}} x}\,{d x}"," ",0,"integrate((5*x^2 + (2*x^2 + 3*x)*e^x + 3*(x + e^x)^(1/3))/((x + e^x)^(1/3)*x), x)","F",0
