1,1,9,12,0.052545,"\text{Not used}","int(exp(x)/(6*exp(x) + 4),x)","\frac{\ln\left(3\,{\mathrm{e}}^x+2\right)}{6}","Not used",1,"log(3*exp(x) + 2)/6","B"
2,1,11,12,0.056857,"\text{Not used}","int(exp(x)/(a + b*exp(x)),x)","\frac{\ln\left(a+b\,{\mathrm{e}}^x\right)}{b}","Not used",1,"log(a + b*exp(x))/b","B"
3,1,22,24,0.121556,"\text{Not used}","int(exp(d*x)/(a + b*exp(c + d*x)),x)","\frac{\ln\left(a+b\,{\mathrm{e}}^{c+d\,x}\right)\,{\mathrm{e}}^{-c}}{b\,d}","Not used",1,"(log(a + b*exp(c + d*x))*exp(-c))/(b*d)","B"
4,1,18,19,0.049323,"\text{Not used}","int(exp(c + d*x)/(a + b*exp(c + d*x)),x)","\frac{\ln\left(a+b\,{\mathrm{e}}^{c+d\,x}\right)}{b\,d}","Not used",1,"log(a + b*exp(c + d*x))/(b*d)","B"
5,1,19,20,3.499754,"\text{Not used}","int(exp(x)*(a + b*exp(x))^n,x)","\frac{{\left(a+b\,{\mathrm{e}}^x\right)}^{n+1}}{b\,\left(n+1\right)}","Not used",1,"(a + b*exp(x))^(n + 1)/(b*(n + 1))","B"
6,1,44,32,3.546688,"\text{Not used}","int(exp(d*x)*(a + b*exp(c + d*x))^n,x)","{\left(a+b\,{\mathrm{e}}^{c+d\,x}\right)}^n\,\left(\frac{{\mathrm{e}}^{d\,x}}{d\,\left(n+1\right)}+\frac{a\,{\mathrm{e}}^{-c}}{b\,d\,\left(n+1\right)}\right)","Not used",1,"(a + b*exp(c + d*x))^n*(exp(d*x)/(d*(n + 1)) + (a*exp(-c))/(b*d*(n + 1)))","B"
7,1,26,27,3.477288,"\text{Not used}","int(exp(c + d*x)*(a + b*exp(c + d*x))^n,x)","\frac{{\left(a+b\,{\mathrm{e}}^{c+d\,x}\right)}^{n+1}}{b\,d\,\left(n+1\right)}","Not used",1,"(a + b*exp(c + d*x))^(n + 1)/(b*d*(n + 1))","B"
8,1,16,16,3.441829,"\text{Not used}","int(F^x/(a + F^x*b),x)","\frac{\ln\left(a+F^x\,b\right)}{b\,\ln\left(F\right)}","Not used",1,"log(a + F^x*b)/(b*log(F))","B"
9,1,28,28,3.578479,"\text{Not used}","int(F^(d*x)/(a + F^(c + d*x)*b),x)","\frac{\ln\left(a+F^{c+d\,x}\,b\right)}{F^c\,b\,d\,\ln\left(F\right)}","Not used",1,"log(a + F^(c + d*x)*b)/(F^c*b*d*log(F))","B"
10,1,23,23,0.002032,"\text{Not used}","int(F^(c + d*x)/(a + F^(c + d*x)*b),x)","\frac{\ln\left(a+F^{c+d\,x}\,b\right)}{b\,d\,\ln\left(F\right)}","Not used",1,"log(a + F^(c + d*x)*b)/(b*d*log(F))","B"
11,1,24,24,3.479734,"\text{Not used}","int(F^x*(a + F^x*b)^n,x)","\frac{{\left(a+F^x\,b\right)}^{n+1}}{b\,\ln\left(F\right)\,\left(n+1\right)}","Not used",1,"(a + F^x*b)^(n + 1)/(b*log(F)*(n + 1))","B"
12,1,55,36,3.532464,"\text{Not used}","int(F^(d*x)*(a + F^(c + d*x)*b)^n,x)","{\left(a+F^{c+d\,x}\,b\right)}^n\,\left(\frac{F^{d\,x}}{d\,\ln\left(F\right)\,\left(n+1\right)}+\frac{a}{F^c\,b\,d\,\ln\left(F\right)\,\left(n+1\right)}\right)","Not used",1,"(a + F^(c + d*x)*b)^n*(F^(d*x)/(d*log(F)*(n + 1)) + a/(F^c*b*d*log(F)*(n + 1)))","B"
13,1,52,31,3.428394,"\text{Not used}","int(F^(c + d*x)*(a + F^(c + d*x)*b)^n,x)","{\left(a+F^{c+d\,x}\,b\right)}^n\,\left(\frac{F^{c+d\,x}}{d\,\ln\left(F\right)\,\left(n+1\right)}+\frac{a}{b\,d\,\ln\left(F\right)\,\left(n+1\right)}\right)","Not used",1,"(a + F^(c + d*x)*b)^n*(F^(c + d*x)/(d*log(F)*(n + 1)) + a/(b*d*log(F)*(n + 1)))","B"
14,1,24,25,3.509666,"\text{Not used}","int(exp(x)^n*(a + b*exp(x)^n)^p,x)","\frac{{\left(a+b\,{\mathrm{e}}^{n\,x}\right)}^{p+1}}{b\,n\,\left(p+1\right)}","Not used",1,"(a + b*exp(n*x))^(p + 1)/(b*n*(p + 1))","B"
15,1,24,37,3.436171,"\text{Not used}","int(exp(n*x)*(a + b*exp(x)^n)^p,x)","\frac{{\left(a+b\,{\mathrm{e}}^{n\,x}\right)}^{p+1}}{b\,n\,\left(p+1\right)}","Not used",1,"(a + b*exp(n*x))^(p + 1)/(b*n*(p + 1))","B"
16,1,74,41,3.514320,"\text{Not used}","int((F^(e*(c + d*x)))^n*(a + b*(F^(e*(c + d*x)))^n)^p,x)","\left(\frac{{\left(F^{c\,e+d\,e\,x}\right)}^n}{d\,e\,n\,\ln\left(F\right)\,\left(p+1\right)}+\frac{a}{b\,d\,e\,n\,\ln\left(F\right)\,\left(p+1\right)}\right)\,{\left(a+b\,{\left(F^{c\,e+d\,e\,x}\right)}^n\right)}^p","Not used",1,"((F^(c*e + d*e*x))^n/(d*e*n*log(F)*(p + 1)) + a/(b*d*e*n*log(F)*(p + 1)))*(a + b*(F^(c*e + d*e*x))^n)^p","B"
17,0,-1,80,0.000000,"\text{Not used}","int((G^(h*(f + g*x)))^((d*e*n*log(F))/(g*h*log(G)))*(a + b*(F^(e*(c + d*x)))^n)^p,x)","\int {\left(G^{h\,\left(f+g\,x\right)}\right)}^{\frac{d\,e\,n\,\ln\left(F\right)}{g\,h\,\ln\left(G\right)}}\,{\left(a+b\,{\left(F^{e\,\left(c+d\,x\right)}\right)}^n\right)}^p \,d x","Not used",1,"int((G^(h*(f + g*x)))^((d*e*n*log(F))/(g*h*log(G)))*(a + b*(F^(e*(c + d*x)))^n)^p, x)","F"
18,1,20,22,3.571264,"\text{Not used}","int(exp(2*x)/(a + b*exp(x)),x)","-\frac{a\,\ln\left(a+b\,{\mathrm{e}}^x\right)-b\,{\mathrm{e}}^x}{b^2}","Not used",1,"-(a*log(a + b*exp(x)) - b*exp(x))/b^2","B"
19,1,27,27,3.611866,"\text{Not used}","int(exp(2*x)/(a + b*exp(x))^2,x)","\frac{\ln\left(a+b\,{\mathrm{e}}^x\right)}{b^2}-\frac{{\mathrm{e}}^x}{b\,\left(a+b\,{\mathrm{e}}^x\right)}","Not used",1,"log(a + b*exp(x))/b^2 - exp(x)/(b*(a + b*exp(x)))","B"
20,1,29,21,3.559584,"\text{Not used}","int(exp(2*x)/(a + b*exp(x))^3,x)","\frac{{\mathrm{e}}^{2\,x}}{2\,a\,\left(a^2+2\,{\mathrm{e}}^x\,a\,b+{\mathrm{e}}^{2\,x}\,b^2\right)}","Not used",1,"exp(2*x)/(2*a*(b^2*exp(2*x) + a^2 + 2*a*b*exp(x)))","B"
21,1,53,34,3.596878,"\text{Not used}","int(exp(2*x)/(a + b*exp(x))^4,x)","\frac{\frac{{\mathrm{e}}^{2\,x}}{2\,a}+\frac{b\,{\mathrm{e}}^{3\,x}}{6\,a^2}}{a^3+3\,{\mathrm{e}}^x\,a^2\,b+3\,{\mathrm{e}}^{2\,x}\,a\,b^2+{\mathrm{e}}^{3\,x}\,b^3}","Not used",1,"(exp(2*x)/(2*a) + (b*exp(3*x))/(6*a^2))/(b^3*exp(3*x) + a^3 + 3*a^2*b*exp(x) + 3*a*b^2*exp(2*x))","B"
22,1,24,31,0.068377,"\text{Not used}","int(exp(4*x)/(a + b*exp(2*x)),x)","-\frac{a\,\ln\left(a+b\,{\mathrm{e}}^{2\,x}\right)-b\,{\mathrm{e}}^{2\,x}}{2\,b^2}","Not used",1,"-(a*log(a + b*exp(2*x)) - b*exp(2*x))/(2*b^2)","B"
23,1,34,37,3.549157,"\text{Not used}","int(exp(4*x)/(a + b*exp(2*x))^2,x)","\frac{\ln\left(a+b\,{\mathrm{e}}^{2\,x}\right)}{2\,b^2}-\frac{{\mathrm{e}}^{2\,x}}{2\,b\,\left(a+b\,{\mathrm{e}}^{2\,x}\right)}","Not used",1,"log(a + b*exp(2*x))/(2*b^2) - exp(2*x)/(2*b*(a + b*exp(2*x)))","B"
24,1,31,23,3.564854,"\text{Not used}","int(exp(4*x)/(a + b*exp(2*x))^3,x)","\frac{{\mathrm{e}}^{4\,x}}{4\,a\,\left(a^2+2\,{\mathrm{e}}^{2\,x}\,a\,b+{\mathrm{e}}^{4\,x}\,b^2\right)}","Not used",1,"exp(4*x)/(4*a*(b^2*exp(4*x) + a^2 + 2*a*b*exp(2*x)))","B"
25,1,55,38,3.600642,"\text{Not used}","int(exp(4*x)/(a + b*exp(2*x))^4,x)","\frac{\frac{{\mathrm{e}}^{4\,x}}{4\,a}+\frac{b\,{\mathrm{e}}^{6\,x}}{12\,a^2}}{a^3+3\,{\mathrm{e}}^{2\,x}\,a^2\,b+3\,{\mathrm{e}}^{4\,x}\,a\,b^2+{\mathrm{e}}^{6\,x}\,b^3}","Not used",1,"(exp(4*x)/(4*a) + (b*exp(6*x))/(12*a^2))/(b^3*exp(6*x) + a^3 + 3*a^2*b*exp(2*x) + 3*a*b^2*exp(4*x))","B"
26,1,26,42,3.494951,"\text{Not used}","int(exp(4*x)/(a + b*exp(2*x))^(2/3),x)","-\frac{3\,\left(3\,a-b\,{\mathrm{e}}^{2\,x}\right)\,{\left(a+b\,{\mathrm{e}}^{2\,x}\right)}^{1/3}}{8\,b^2}","Not used",1,"-(3*(3*a - b*exp(2*x))*(a + b*exp(2*x))^(1/3))/(8*b^2)","B"
27,1,15,16,0.075243,"\text{Not used}","int(exp(-n*x)*(a + b*exp(n*x)),x)","b\,x-\frac{a\,{\mathrm{e}}^{-n\,x}}{n}","Not used",1,"b*x - (a*exp(-n*x))/n","B"
28,1,30,32,0.093260,"\text{Not used}","int(exp(-n*x)*(a + b*exp(n*x))^2,x)","2\,a\,b\,x-\frac{{\mathrm{e}}^{-n\,x}\,\left(a^2-b^2\,{\mathrm{e}}^{2\,n\,x}\right)}{n}","Not used",1,"2*a*b*x - (exp(-n*x)*(a^2 - b^2*exp(2*n*x)))/n","B"
29,1,44,52,3.519731,"\text{Not used}","int(exp(-n*x)*(a + b*exp(n*x))^3,x)","\frac{{\mathrm{e}}^{-n\,x}\,\left(-2\,a^3+6\,{\mathrm{e}}^{2\,n\,x}\,a\,b^2+{\mathrm{e}}^{3\,n\,x}\,b^3\right)}{2\,n}+3\,a^2\,b\,x","Not used",1,"(exp(-n*x)*(b^3*exp(3*n*x) - 2*a^3 + 6*a*b^2*exp(2*n*x)))/(2*n) + 3*a^2*b*x","B"
30,1,38,40,3.566476,"\text{Not used}","int(exp(-n*x)/(a + b*exp(n*x)),x)","\frac{b\,\ln\left(a+b\,{\mathrm{e}}^{n\,x}\right)}{a^2\,n}-\frac{b\,x}{a^2}-\frac{{\mathrm{e}}^{-n\,x}}{a\,n}","Not used",1,"(b*log(a + b*exp(n*x)))/(a^2*n) - (b*x)/a^2 - exp(-n*x)/(a*n)","B"
31,1,86,61,3.665905,"\text{Not used}","int(exp(-n*x)/(a + b*exp(n*x))^2,x)","\frac{2\,b\,\ln\left(a+b\,{\mathrm{e}}^{n\,x}\right)}{a^3\,n}-\frac{\frac{1}{a\,n}+\frac{2\,b^2\,x\,{\mathrm{e}}^{2\,n\,x}}{a^3}-\frac{2\,b^2\,{\mathrm{e}}^{2\,n\,x}}{a^3\,n}+\frac{2\,b\,x\,{\mathrm{e}}^{n\,x}}{a^2}}{a\,{\mathrm{e}}^{n\,x}+b\,{\mathrm{e}}^{2\,n\,x}}","Not used",1,"(2*b*log(a + b*exp(n*x)))/(a^3*n) - (1/(a*n) + (2*b^2*x*exp(2*n*x))/a^3 - (2*b^2*exp(2*n*x))/(a^3*n) + (2*b*x*exp(n*x))/a^2)/(a*exp(n*x) + b*exp(2*n*x))","B"
32,1,104,83,0.191785,"\text{Not used}","int(exp(-n*x)/(a + b*exp(n*x))^3,x)","\frac{\frac{6\,b^2\,{\mathrm{e}}^{2\,n\,x}}{a^3\,n}-\frac{1}{a\,n}+\frac{9\,b^3\,{\mathrm{e}}^{3\,n\,x}}{2\,a^4\,n}}{{\mathrm{e}}^{n\,x}\,a^2+2\,{\mathrm{e}}^{2\,n\,x}\,a\,b+{\mathrm{e}}^{3\,n\,x}\,b^2}-\frac{3\,b\,\ln\left({\mathrm{e}}^{n\,x}\right)}{a^4\,n}+\frac{3\,b\,\ln\left(a+b\,{\mathrm{e}}^{n\,x}\right)}{a^4\,n}","Not used",1,"((6*b^2*exp(2*n*x))/(a^3*n) - 1/(a*n) + (9*b^3*exp(3*n*x))/(2*a^4*n))/(a^2*exp(n*x) + b^2*exp(3*n*x) + 2*a*b*exp(2*n*x)) - (3*b*log(exp(n*x)))/(a^4*n) + (3*b*log(a + b*exp(n*x)))/(a^4*n)","B"
33,1,64,50,3.848326,"\text{Not used}","int(f^(a + b*x)/(c + d*f^(e + 2*b*x)),x)","\frac{\mathrm{atan}\left(\frac{f^{a+b\,x}\,\sqrt{b^2\,c\,d\,f^e\,{\ln\left(f\right)}^2}}{b\,c\,\ln\left(f\right)\,\sqrt{f^{2\,a}}}\right)\,\sqrt{f^{2\,a}}}{\sqrt{b^2\,c\,d\,f^e\,{\ln\left(f\right)}^2}}","Not used",1,"(atan((f^(a + b*x)*(b^2*c*d*f^e*log(f)^2)^(1/2))/(b*c*log(f)*(f^(2*a))^(1/2)))*(f^(2*a))^(1/2))/(b^2*c*d*f^e*log(f)^2)^(1/2)","B"
34,1,37,34,3.634288,"\text{Not used}","int(f^(a + 2*b*x)/(c + d*f^(e + 2*b*x)),x)","\frac{f^{a-e}\,\ln\left(d\,f^{a+e+2\,b\,x}+c\,f^a\right)}{2\,b\,d\,\ln\left(f\right)}","Not used",1,"(f^(a - e)*log(d*f^(a + e + 2*b*x) + c*f^a))/(2*b*d*log(f))","B"
35,1,66,88,3.548496,"\text{Not used}","int(f^(a + 3*b*x)/(c + d*f^(e + 2*b*x)),x)","-\frac{f^a\,{\mathrm{e}}^{-\frac{3\,e\,\ln\left(f\right)}{2}}\,\left(c\,\mathrm{atan}\left(\frac{d\,f^{b\,x}\,{\mathrm{e}}^{\frac{e\,\ln\left(f\right)}{2}}}{\sqrt{c\,d}}\right)-f^{b\,x}\,{\mathrm{e}}^{\frac{e\,\ln\left(f\right)}{2}}\,\sqrt{c\,d}\right)}{b\,d\,\ln\left(f\right)\,\sqrt{c\,d}}","Not used",1,"-(f^a*exp(-(3*e*log(f))/2)*(c*atan((d*f^(b*x)*exp((e*log(f))/2))/(c*d)^(1/2)) - f^(b*x)*exp((e*log(f))/2)*(c*d)^(1/2)))/(b*d*log(f)*(c*d)^(1/2))","B"
36,1,47,61,3.542525,"\text{Not used}","int(f^(a + 4*b*x)/(c + d*f^(e + 2*b*x)),x)","-\frac{f^{a-2\,e}\,\left(\frac{c\,\ln\left(c+d\,f^{e+2\,b\,x}\right)}{2}-\frac{d\,f^{e+2\,b\,x}}{2}\right)}{b\,d^2\,\ln\left(f\right)}","Not used",1,"-(f^(a - 2*e)*((c*log(c + d*f^(e + 2*b*x)))/2 - (d*f^(e + 2*b*x))/2))/(b*d^2*log(f))","B"
37,1,102,127,3.556344,"\text{Not used}","int(f^(a + 5*b*x)/(c + d*f^(e + 2*b*x)),x)","\frac{f^a\,f^{3\,b\,x}}{3\,b\,d\,f^e\,\ln\left(f\right)}-\frac{c\,f^a\,f^{b\,x}}{b\,d^2\,f^{2\,e}\,\ln\left(f\right)}+\frac{c^2\,f^a\,{\mathrm{e}}^{-\frac{5\,e\,\ln\left(f\right)}{2}}\,\mathrm{atan}\left(\frac{d\,f^{b\,x}\,{\mathrm{e}}^{\frac{e\,\ln\left(f\right)}{2}}}{\sqrt{c\,d}}\right)}{b\,d^2\,\ln\left(f\right)\,\sqrt{c\,d}}","Not used",1,"(f^a*f^(3*b*x))/(3*b*d*f^e*log(f)) - (c*f^a*f^(b*x))/(b*d^2*f^(2*e)*log(f)) + (c^2*f^a*exp(-(5*e*log(f))/2)*atan((d*f^(b*x)*exp((e*log(f))/2))/(c*d)^(1/2)))/(b*d^2*log(f)*(c*d)^(1/2))","B"
38,1,3,4,3.474851,"\text{Not used}","int(exp(x)/(exp(2*x) + 1),x)","\mathrm{atan}\left({\mathrm{e}}^x\right)","Not used",1,"atan(exp(x))","B"
39,1,15,4,0.132675,"\text{Not used}","int(-exp(x)/(exp(2*x) - 1),x)","\frac{\ln\left({\mathrm{e}}^x+1\right)}{2}-\frac{\ln\left({\mathrm{e}}^x-1\right)}{2}","Not used",1,"log(exp(x) + 1)/2 - log(exp(x) - 1)/2","B"
40,0,-1,27,0.000000,"\text{Not used}","int(-(x*exp(x))/(exp(2*x) - 1),x)","-\int \frac{x\,{\mathrm{e}}^x}{{\mathrm{e}}^{2\,x}-1} \,d x","Not used",1,"-int((x*exp(x))/(exp(2*x) - 1), x)","F"
41,0,-1,40,0.000000,"\text{Not used}","int(-(x^2*exp(x))/(exp(2*x) - 1),x)","-\int \frac{x^2\,{\mathrm{e}}^x}{{\mathrm{e}}^{2\,x}-1} \,d x","Not used",1,"-int((x^2*exp(x))/(exp(2*x) - 1), x)","F"
42,0,-1,69,0.000000,"\text{Not used}","int(-(x^3*exp(x))/(exp(2*x) - 1),x)","-\int \frac{x^3\,{\mathrm{e}}^x}{{\mathrm{e}}^{2\,x}-1} \,d x","Not used",1,"-int((x^3*exp(x))/(exp(2*x) - 1), x)","F"
43,1,21,30,3.499939,"\text{Not used}","int(f^x/(a + b*f^(2*x)),x)","\frac{\mathrm{atan}\left(\frac{b\,f^x}{\sqrt{a\,b}}\right)}{\ln\left(f\right)\,\sqrt{a\,b}}","Not used",1,"atan((b*f^x)/(a*b)^(1/2))/(log(f)*(a*b)^(1/2))","B"
44,0,-1,110,0.000000,"\text{Not used}","int((f^x*x)/(a + b*f^(2*x)),x)","\int \frac{f^x\,x}{a+b\,f^{2\,x}} \,d x","Not used",1,"int((f^x*x)/(a + b*f^(2*x)), x)","F"
45,0,-1,184,0.000000,"\text{Not used}","int((f^x*x^2)/(a + b*f^(2*x)),x)","\int \frac{f^x\,x^2}{a+b\,f^{2\,x}} \,d x","Not used",1,"int((f^x*x^2)/(a + b*f^(2*x)), x)","F"
46,0,-1,268,0.000000,"\text{Not used}","int((f^x*x^3)/(a + b*f^(2*x)),x)","\int \frac{f^x\,x^3}{a+b\,f^{2\,x}} \,d x","Not used",1,"int((f^x*x^3)/(a + b*f^(2*x)), x)","F"
47,1,49,59,3.498219,"\text{Not used}","int(f^x/(a + b*f^(2*x))^2,x)","\frac{f^x}{2\,a\,\ln\left(f\right)\,\left(a+b\,f^{2\,x}\right)}+\frac{\mathrm{atan}\left(\frac{b\,f^x}{\sqrt{a\,b}}\right)}{2\,a\,\ln\left(f\right)\,\sqrt{a\,b}}","Not used",1,"f^x/(2*a*log(f)*(a + b*f^(2*x))) + atan((b*f^x)/(a*b)^(1/2))/(2*a*log(f)*(a*b)^(1/2))","B"
48,0,-1,172,0.000000,"\text{Not used}","int((f^x*x)/(a + b*f^(2*x))^2,x)","\int \frac{f^x\,x}{{\left(a+b\,f^{2\,x}\right)}^2} \,d x","Not used",1,"int((f^x*x)/(a + b*f^(2*x))^2, x)","F"
49,0,-1,333,0.000000,"\text{Not used}","int((f^x*x^2)/(a + b*f^(2*x))^2,x)","\int \frac{f^x\,x^2}{{\left(a+b\,f^{2\,x}\right)}^2} \,d x","Not used",1,"int((f^x*x^2)/(a + b*f^(2*x))^2, x)","F"
50,0,-1,501,0.000000,"\text{Not used}","int((f^x*x^3)/(a + b*f^(2*x))^2,x)","\int \frac{f^x\,x^3}{{\left(a+b\,f^{2\,x}\right)}^2} \,d x","Not used",1,"int((f^x*x^3)/(a + b*f^(2*x))^2, x)","F"
51,1,79,84,3.569955,"\text{Not used}","int(f^x/(a + b*f^(2*x))^3,x)","\frac{\frac{5\,f^x}{8\,a\,\ln\left(f\right)}+\frac{3\,b\,f^{3\,x}}{8\,a^2\,\ln\left(f\right)}}{b^2\,f^{4\,x}+a^2+2\,a\,b\,f^{2\,x}}+\frac{3\,\mathrm{atan}\left(\frac{b\,f^x}{\sqrt{a\,b}}\right)}{8\,a^2\,\ln\left(f\right)\,\sqrt{a\,b}}","Not used",1,"((5*f^x)/(8*a*log(f)) + (3*b*f^(3*x))/(8*a^2*log(f)))/(b^2*f^(4*x) + a^2 + 2*a*b*f^(2*x)) + (3*atan((b*f^x)/(a*b)^(1/2)))/(8*a^2*log(f)*(a*b)^(1/2))","B"
52,0,-1,223,0.000000,"\text{Not used}","int((f^x*x)/(a + b*f^(2*x))^3,x)","\int \frac{f^x\,x}{{\left(a+b\,f^{2\,x}\right)}^3} \,d x","Not used",1,"int((f^x*x)/(a + b*f^(2*x))^3, x)","F"
53,0,-1,420,0.000000,"\text{Not used}","int((f^x*x^2)/(a + b*f^(2*x))^3,x)","\int \frac{f^x\,x^2}{{\left(a+b\,f^{2\,x}\right)}^3} \,d x","Not used",1,"int((f^x*x^2)/(a + b*f^(2*x))^3, x)","F"
54,1,21,30,3.510377,"\text{Not used}","int(1/(b/f^x + a*f^x),x)","\frac{\mathrm{atan}\left(\frac{a\,f^x}{\sqrt{a\,b}}\right)}{\ln\left(f\right)\,\sqrt{a\,b}}","Not used",1,"atan((a*f^x)/(a*b)^(1/2))/(log(f)*(a*b)^(1/2))","B"
55,0,-1,110,0.000000,"\text{Not used}","int(x/(b/f^x + a*f^x),x)","\int \frac{x}{\frac{b}{f^x}+a\,f^x} \,d x","Not used",1,"int(x/(b/f^x + a*f^x), x)","F"
56,0,-1,184,0.000000,"\text{Not used}","int(x^2/(b/f^x + a*f^x),x)","\int \frac{x^2}{\frac{b}{f^x}+a\,f^x} \,d x","Not used",1,"int(x^2/(b/f^x + a*f^x), x)","F"
57,0,-1,268,0.000000,"\text{Not used}","int(x^3/(b/f^x + a*f^x),x)","\int \frac{x^3}{\frac{b}{f^x}+a\,f^x} \,d x","Not used",1,"int(x^3/(b/f^x + a*f^x), x)","F"
58,1,20,22,3.609956,"\text{Not used}","int(1/(b/f^x + a*f^x)^2,x)","-\frac{1}{2\,a\,\ln\left(f\right)\,\left(b+a\,f^{2\,x}\right)}","Not used",1,"-1/(2*a*log(f)*(b + a*f^(2*x)))","B"
59,1,51,63,3.609694,"\text{Not used}","int(x/(b/f^x + a*f^x)^2,x)","\frac{f^{2\,x}\,x}{2\,\left(b^2\,\ln\left(f\right)+a\,b\,f^{2\,x}\,\ln\left(f\right)\right)}-\frac{\ln\left(b+a\,f^{2\,x}\right)}{4\,a\,b\,{\ln\left(f\right)}^2}","Not used",1,"(f^(2*x)*x)/(2*(b^2*log(f) + a*b*f^(2*x)*log(f))) - log(b + a*f^(2*x))/(4*a*b*log(f)^2)","B"
60,0,-1,98,0.000000,"\text{Not used}","int(x^2/(b/f^x + a*f^x)^2,x)","\int \frac{x^2}{{\left(\frac{b}{f^x}+a\,f^x\right)}^2} \,d x","Not used",1,"int(x^2/(b/f^x + a*f^x)^2, x)","F"
61,0,-1,128,0.000000,"\text{Not used}","int(x^3/(b/f^x + a*f^x)^2,x)","\int \frac{x^3}{{\left(\frac{b}{f^x}+a\,f^x\right)}^2} \,d x","Not used",1,"int(x^3/(b/f^x + a*f^x)^2, x)","F"
62,1,113,87,3.642932,"\text{Not used}","int(1/(b/f^x + a*f^x)^3,x)","\frac{f^x}{8\,\left(a\,b^2\,\ln\left(f\right)+a^2\,b\,f^{2\,x}\,\ln\left(f\right)\right)}-\frac{f^x}{4\,\left(a\,b^2\,\ln\left(f\right)+a^3\,f^{4\,x}\,\ln\left(f\right)+2\,a^2\,b\,f^{2\,x}\,\ln\left(f\right)\right)}+\frac{\mathrm{atan}\left(\frac{f^x\,\sqrt{a^3\,b^3\,{\ln\left(f\right)}^2}}{a\,b^2\,\ln\left(f\right)}\right)}{8\,\sqrt{a^3\,b^3\,{\ln\left(f\right)}^2}}","Not used",1,"f^x/(8*(a*b^2*log(f) + a^2*b*f^(2*x)*log(f))) - f^x/(4*(a*b^2*log(f) + a^3*f^(4*x)*log(f) + 2*a^2*b*f^(2*x)*log(f))) + atan((f^x*(a^3*b^3*log(f)^2)^(1/2))/(a*b^2*log(f)))/(8*(a^3*b^3*log(f)^2)^(1/2))","B"
63,0,-1,196,0.000000,"\text{Not used}","int(x/(b/f^x + a*f^x)^3,x)","\int \frac{x}{{\left(\frac{b}{f^x}+a\,f^x\right)}^3} \,d x","Not used",1,"int(x/(b/f^x + a*f^x)^3, x)","F"
64,0,-1,316,0.000000,"\text{Not used}","int(x^2/(b/f^x + a*f^x)^3,x)","\int \frac{x^2}{{\left(\frac{b}{f^x}+a\,f^x\right)}^3} \,d x","Not used",1,"int(x^2/(b/f^x + a*f^x)^3, x)","F"
65,1,130,95,0.104710,"\text{Not used}","int(f^(a + b*x + c*x^2)*g^(d + e*x + f*x^2),x)","-\frac{f^a\,g^d\,\sqrt{\pi }\,{\mathrm{e}}^{-\frac{b^2\,{\ln\left(f\right)}^2}{4\,\left(c\,\ln\left(f\right)+f\,\ln\left(g\right)\right)}-\frac{e^2\,{\ln\left(g\right)}^2}{4\,\left(c\,\ln\left(f\right)+f\,\ln\left(g\right)\right)}-\frac{b\,e\,\ln\left(f\right)\,\ln\left(g\right)}{2\,\left(c\,\ln\left(f\right)+f\,\ln\left(g\right)\right)}}\,\mathrm{erf}\left(\frac{x\,\left(c\,\ln\left(f\right)+f\,\ln\left(g\right)\right)\,2{}\mathrm{i}+b\,\ln\left(f\right)\,1{}\mathrm{i}+e\,\ln\left(g\right)\,1{}\mathrm{i}}{2\,\sqrt{c\,\ln\left(f\right)+f\,\ln\left(g\right)}}\right)\,1{}\mathrm{i}}{2\,\sqrt{c\,\ln\left(f\right)+f\,\ln\left(g\right)}}","Not used",1,"-(f^a*g^d*pi^(1/2)*exp(- (b^2*log(f)^2)/(4*(c*log(f) + f*log(g))) - (e^2*log(g)^2)/(4*(c*log(f) + f*log(g))) - (b*e*log(f)*log(g))/(2*(c*log(f) + f*log(g))))*erf((x*(c*log(f) + f*log(g))*2i + b*log(f)*1i + e*log(g)*1i)/(2*(c*log(f) + f*log(g))^(1/2)))*1i)/(2*(c*log(f) + f*log(g))^(1/2))","B"
66,0,-1,106,0.000000,"\text{Not used}","int(F^(e*(c + d*x))*(a + G^(h*(f + g*x))*b)^n,x)","\int F^{e\,\left(c+d\,x\right)}\,{\left(a+G^{h\,\left(f+g\,x\right)}\,b\right)}^n \,d x","Not used",1,"int(F^(e*(c + d*x))*(a + G^(h*(f + g*x))*b)^n, x)","F"
67,0,-1,75,0.000000,"\text{Not used}","int((F^(e*(c + d*x))*H^(t*(r + s*x)))/(a + F^(e*(c + d*x))*b),x)","\int \frac{F^{e\,\left(c+d\,x\right)}\,H^{t\,\left(r+s\,x\right)}}{a+F^{e\,\left(c+d\,x\right)}\,b} \,d x","Not used",1,"int((F^(e*(c + d*x))*H^(t*(r + s*x)))/(a + F^(e*(c + d*x))*b), x)","F"
68,0,-1,85,0.000000,"\text{Not used}","int((F^(e*(f + d*x))*H^(t*(r + s*x)))/(a + F^(e*(c + d*x))*b),x)","\int \frac{F^{e\,\left(f+d\,x\right)}\,H^{t\,\left(r+s\,x\right)}}{a+F^{e\,\left(c+d\,x\right)}\,b} \,d x","Not used",1,"int((F^(e*(f + d*x))*H^(t*(r + s*x)))/(a + F^(e*(c + d*x))*b), x)","F"
69,1,49,46,3.627928,"\text{Not used}","int(f^(a + b*x^2)*x^m,x)","\frac{f^a\,x^{m+1}\,\left(\Gamma \left(\frac{m}{2}+\frac{1}{2}\right)-\Gamma \left(\frac{m}{2}+\frac{1}{2},-b\,x^2\,\ln\left(f\right)\right)\right)}{2\,{\left(-b\,x^2\,\ln\left(f\right)\right)}^{\frac{m}{2}+\frac{1}{2}}}","Not used",1,"(f^a*x^(m + 1)*(gamma(m/2 + 1/2) - igamma(m/2 + 1/2, -b*x^2*log(f))))/(2*(-b*x^2*log(f))^(m/2 + 1/2))","B"
70,1,76,78,3.558732,"\text{Not used}","int(f^(a + b*x^2)*x^11,x)","-\frac{f^{b\,x^2+a}\,\left(-\frac{b^5\,x^{10}\,{\ln\left(f\right)}^5}{2}+\frac{5\,b^4\,x^8\,{\ln\left(f\right)}^4}{2}-10\,b^3\,x^6\,{\ln\left(f\right)}^3+30\,b^2\,x^4\,{\ln\left(f\right)}^2-60\,b\,x^2\,\ln\left(f\right)+60\right)}{b^6\,{\ln\left(f\right)}^6}","Not used",1,"-(f^(a + b*x^2)*(30*b^2*x^4*log(f)^2 - 10*b^3*x^6*log(f)^3 + (5*b^4*x^8*log(f)^4)/2 - (b^5*x^10*log(f)^5)/2 - 60*b*x^2*log(f) + 60))/(b^6*log(f)^6)","B"
71,1,63,65,3.538634,"\text{Not used}","int(f^(a + b*x^2)*x^9,x)","\frac{f^{b\,x^2+a}\,\left(\frac{b^4\,x^8\,{\ln\left(f\right)}^4}{2}-2\,b^3\,x^6\,{\ln\left(f\right)}^3+6\,b^2\,x^4\,{\ln\left(f\right)}^2-12\,b\,x^2\,\ln\left(f\right)+12\right)}{b^5\,{\ln\left(f\right)}^5}","Not used",1,"(f^(a + b*x^2)*(6*b^2*x^4*log(f)^2 - 2*b^3*x^6*log(f)^3 + (b^4*x^8*log(f)^4)/2 - 12*b*x^2*log(f) + 12))/(b^5*log(f)^5)","B"
72,1,52,86,3.496983,"\text{Not used}","int(f^(a + b*x^2)*x^7,x)","-\frac{f^{b\,x^2+a}\,\left(-\frac{b^3\,x^6\,{\ln\left(f\right)}^3}{2}+\frac{3\,b^2\,x^4\,{\ln\left(f\right)}^2}{2}-3\,b\,x^2\,\ln\left(f\right)+3\right)}{b^4\,{\ln\left(f\right)}^4}","Not used",1,"-(f^(a + b*x^2)*((3*b^2*x^4*log(f)^2)/2 - (b^3*x^6*log(f)^3)/2 - 3*b*x^2*log(f) + 3))/(b^4*log(f)^4)","B"
73,1,39,62,3.508993,"\text{Not used}","int(f^(a + b*x^2)*x^5,x)","\frac{f^{b\,x^2+a}\,\left(\frac{b^2\,x^4\,{\ln\left(f\right)}^2}{2}-b\,x^2\,\ln\left(f\right)+1\right)}{b^3\,{\ln\left(f\right)}^3}","Not used",1,"(f^(a + b*x^2)*((b^2*x^4*log(f)^2)/2 - b*x^2*log(f) + 1))/(b^3*log(f)^3)","B"
74,1,27,44,3.459481,"\text{Not used}","int(f^(a + b*x^2)*x^3,x)","\frac{f^{b\,x^2+a}\,\left(\frac{b\,x^2\,\ln\left(f\right)}{2}-\frac{1}{2}\right)}{b^2\,{\ln\left(f\right)}^2}","Not used",1,"(f^(a + b*x^2)*((b*x^2*log(f))/2 - 1/2))/(b^2*log(f)^2)","B"
75,1,18,20,3.297808,"\text{Not used}","int(f^(a + b*x^2)*x,x)","\frac{f^{b\,x^2+a}}{2\,b\,\ln\left(f\right)}","Not used",1,"f^(a + b*x^2)/(2*b*log(f))","B"
76,1,13,15,3.180758,"\text{Not used}","int(f^(a + b*x^2)/x,x)","\frac{f^a\,\mathrm{ei}\left(b\,x^2\,\ln\left(f\right)\right)}{2}","Not used",1,"(f^a*ei(b*x^2*log(f)))/2","B"
77,1,32,35,3.427453,"\text{Not used}","int(f^(a + b*x^2)/x^3,x)","-\frac{f^a\,\left(f^{b\,x^2}+b\,x^2\,\ln\left(f\right)\,\mathrm{expint}\left(-b\,x^2\,\ln\left(f\right)\right)\right)}{2\,x^2}","Not used",1,"-(f^a*(f^(b*x^2) + b*x^2*log(f)*expint(-b*x^2*log(f))))/(2*x^2)","B"
78,1,57,58,3.532537,"\text{Not used}","int(f^(a + b*x^2)/x^5,x)","-\frac{b^2\,f^a\,{\ln\left(f\right)}^2\,\left(f^{b\,x^2}\,\left(\frac{1}{2\,b\,x^2\,\ln\left(f\right)}+\frac{1}{2\,b^2\,x^4\,{\ln\left(f\right)}^2}\right)+\frac{\mathrm{expint}\left(-b\,x^2\,\ln\left(f\right)\right)}{2}\right)}{2}","Not used",1,"-(b^2*f^a*log(f)^2*(f^(b*x^2)*(1/(2*b*x^2*log(f)) + 1/(2*b^2*x^4*log(f)^2)) + expint(-b*x^2*log(f))/2))/2","B"
79,1,69,81,3.543126,"\text{Not used}","int(f^(a + b*x^2)/x^7,x)","-\frac{b^3\,f^a\,{\ln\left(f\right)}^3\,\left(f^{b\,x^2}\,\left(\frac{1}{6\,b\,x^2\,\ln\left(f\right)}+\frac{1}{6\,b^2\,x^4\,{\ln\left(f\right)}^2}+\frac{1}{3\,b^3\,x^6\,{\ln\left(f\right)}^3}\right)+\frac{\mathrm{expint}\left(-b\,x^2\,\ln\left(f\right)\right)}{6}\right)}{2}","Not used",1,"-(b^3*f^a*log(f)^3*(f^(b*x^2)*(1/(6*b*x^2*log(f)) + 1/(6*b^2*x^4*log(f)^2) + 1/(3*b^3*x^6*log(f)^3)) + expint(-b*x^2*log(f))/6))/2","B"
80,1,90,24,3.565448,"\text{Not used}","int(f^(a + b*x^2)/x^9,x)","-\frac{b^4\,f^a\,{\ln\left(f\right)}^4\,\mathrm{expint}\left(-b\,x^2\,\ln\left(f\right)\right)}{48}-\frac{b^4\,f^a\,f^{b\,x^2}\,{\ln\left(f\right)}^4\,\left(\frac{1}{24\,b\,x^2\,\ln\left(f\right)}+\frac{1}{24\,b^2\,x^4\,{\ln\left(f\right)}^2}+\frac{1}{12\,b^3\,x^6\,{\ln\left(f\right)}^3}+\frac{1}{4\,b^4\,x^8\,{\ln\left(f\right)}^4}\right)}{2}","Not used",1,"- (b^4*f^a*log(f)^4*expint(-b*x^2*log(f)))/48 - (b^4*f^a*f^(b*x^2)*log(f)^4*(1/(24*b*x^2*log(f)) + 1/(24*b^2*x^4*log(f)^2) + 1/(12*b^3*x^6*log(f)^3) + 1/(4*b^4*x^8*log(f)^4)))/2","B"
81,1,102,24,3.511123,"\text{Not used}","int(f^(a + b*x^2)/x^11,x)","-\frac{b^5\,f^a\,{\ln\left(f\right)}^5\,\mathrm{expint}\left(-b\,x^2\,\ln\left(f\right)\right)}{240}-\frac{b^5\,f^a\,f^{b\,x^2}\,{\ln\left(f\right)}^5\,\left(\frac{1}{120\,b\,x^2\,\ln\left(f\right)}+\frac{1}{120\,b^2\,x^4\,{\ln\left(f\right)}^2}+\frac{1}{60\,b^3\,x^6\,{\ln\left(f\right)}^3}+\frac{1}{20\,b^4\,x^8\,{\ln\left(f\right)}^4}+\frac{1}{5\,b^5\,x^{10}\,{\ln\left(f\right)}^5}\right)}{2}","Not used",1,"- (b^5*f^a*log(f)^5*expint(-b*x^2*log(f)))/240 - (b^5*f^a*f^(b*x^2)*log(f)^5*(1/(120*b*x^2*log(f)) + 1/(120*b^2*x^4*log(f)^2) + 1/(60*b^3*x^6*log(f)^3) + 1/(20*b^4*x^8*log(f)^4) + 1/(5*b^5*x^10*log(f)^5)))/2","B"
82,1,154,34,3.625260,"\text{Not used}","int(f^(a + b*x^2)*x^12,x)","\frac{\frac{f^a\,\left(\frac{10395\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,x\,\ln\left(f\right)}{\sqrt{b\,\ln\left(f\right)}}\right)}{128}-\frac{10395\,f^{b\,x^2}\,x\,\sqrt{b\,\ln\left(f\right)}}{64}\right)}{\sqrt{b\,\ln\left(f\right)}}-\frac{693\,b^2\,f^{b\,x^2+a}\,x^5\,{\ln\left(f\right)}^2}{16}+\frac{99\,b^3\,f^{b\,x^2+a}\,x^7\,{\ln\left(f\right)}^3}{8}-\frac{11\,b^4\,f^{b\,x^2+a}\,x^9\,{\ln\left(f\right)}^4}{4}+\frac{b^5\,f^{b\,x^2+a}\,x^{11}\,{\ln\left(f\right)}^5}{2}+\frac{3465\,b\,f^{b\,x^2+a}\,x^3\,\ln\left(f\right)}{32}}{b^6\,{\ln\left(f\right)}^6}","Not used",1,"((f^a*((10395*pi^(1/2)*erfi((b*x*log(f))/(b*log(f))^(1/2)))/128 - (10395*f^(b*x^2)*x*(b*log(f))^(1/2))/64))/(b*log(f))^(1/2) - (693*b^2*f^(a + b*x^2)*x^5*log(f)^2)/16 + (99*b^3*f^(a + b*x^2)*x^7*log(f)^3)/8 - (11*b^4*f^(a + b*x^2)*x^9*log(f)^4)/4 + (b^5*f^(a + b*x^2)*x^11*log(f)^5)/2 + (3465*b*f^(a + b*x^2)*x^3*log(f))/32)/(b^6*log(f)^6)","B"
83,1,139,34,3.574697,"\text{Not used}","int(f^(a + b*x^2)*x^10,x)","-\frac{\frac{f^a\,\left(945\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,x\,\ln\left(f\right)}{\sqrt{b\,\ln\left(f\right)}}\right)-1890\,f^{b\,x^2}\,x\,\sqrt{b\,\ln\left(f\right)}\right)}{64\,\sqrt{b\,\ln\left(f\right)}}-\frac{63\,b^2\,f^a\,f^{b\,x^2}\,x^5\,{\ln\left(f\right)}^2}{8}+\frac{9\,b^3\,f^a\,f^{b\,x^2}\,x^7\,{\ln\left(f\right)}^3}{4}-\frac{b^4\,f^a\,f^{b\,x^2}\,x^9\,{\ln\left(f\right)}^4}{2}+\frac{315\,b\,f^a\,f^{b\,x^2}\,x^3\,\ln\left(f\right)}{16}}{b^5\,{\ln\left(f\right)}^5}","Not used",1,"-((f^a*(945*pi^(1/2)*erfi((b*x*log(f))/(b*log(f))^(1/2)) - 1890*f^(b*x^2)*x*(b*log(f))^(1/2)))/(64*(b*log(f))^(1/2)) - (63*b^2*f^a*f^(b*x^2)*x^5*log(f)^2)/8 + (9*b^3*f^a*f^(b*x^2)*x^7*log(f)^3)/4 - (b^4*f^a*f^(b*x^2)*x^9*log(f)^4)/2 + (315*b*f^a*f^(b*x^2)*x^3*log(f))/16)/(b^5*log(f)^5)","B"
84,1,116,128,3.546484,"\text{Not used}","int(f^(a + b*x^2)*x^8,x)","\frac{\frac{f^a\,\left(105\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,x\,\ln\left(f\right)}{\sqrt{b\,\ln\left(f\right)}}\right)-210\,f^{b\,x^2}\,x\,\sqrt{b\,\ln\left(f\right)}\right)}{32\,\sqrt{b\,\ln\left(f\right)}}-\frac{7\,b^2\,f^a\,f^{b\,x^2}\,x^5\,{\ln\left(f\right)}^2}{4}+\frac{b^3\,f^a\,f^{b\,x^2}\,x^7\,{\ln\left(f\right)}^3}{2}+\frac{35\,b\,f^a\,f^{b\,x^2}\,x^3\,\ln\left(f\right)}{8}}{b^4\,{\ln\left(f\right)}^4}","Not used",1,"((f^a*(105*pi^(1/2)*erfi((b*x*log(f))/(b*log(f))^(1/2)) - 210*f^(b*x^2)*x*(b*log(f))^(1/2)))/(32*(b*log(f))^(1/2)) - (7*b^2*f^a*f^(b*x^2)*x^5*log(f)^2)/4 + (b^3*f^a*f^(b*x^2)*x^7*log(f)^3)/2 + (35*b*f^a*f^(b*x^2)*x^3*log(f))/8)/(b^4*log(f)^4)","B"
85,1,98,105,3.518712,"\text{Not used}","int(f^(a + b*x^2)*x^6,x)","\frac{15\,f^a\,f^{b\,x^2}\,x}{8\,b^3\,{\ln\left(f\right)}^3}+\frac{f^a\,f^{b\,x^2}\,x^5}{2\,b\,\ln\left(f\right)}-\frac{5\,f^a\,f^{b\,x^2}\,x^3}{4\,b^2\,{\ln\left(f\right)}^2}-\frac{15\,f^a\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,x\,\ln\left(f\right)}{\sqrt{b\,\ln\left(f\right)}}\right)}{16\,b^3\,{\ln\left(f\right)}^3\,\sqrt{b\,\ln\left(f\right)}}","Not used",1,"(15*f^a*f^(b*x^2)*x)/(8*b^3*log(f)^3) + (f^a*f^(b*x^2)*x^5)/(2*b*log(f)) - (5*f^a*f^(b*x^2)*x^3)/(4*b^2*log(f)^2) - (15*f^a*pi^(1/2)*erfi((b*x*log(f))/(b*log(f))^(1/2)))/(16*b^3*log(f)^3*(b*log(f))^(1/2))","B"
86,1,75,82,3.542898,"\text{Not used}","int(f^(a + b*x^2)*x^4,x)","\frac{f^a\,\left(3\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,x\,\ln\left(f\right)}{\sqrt{b\,\ln\left(f\right)}}\right)-6\,f^{b\,x^2}\,x\,\sqrt{b\,\ln\left(f\right)}\right)}{8\,b^2\,{\ln\left(f\right)}^2\,\sqrt{b\,\ln\left(f\right)}}+\frac{f^a\,f^{b\,x^2}\,x^3}{2\,b\,\ln\left(f\right)}","Not used",1,"(f^a*(3*pi^(1/2)*erfi((b*x*log(f))/(b*log(f))^(1/2)) - 6*f^(b*x^2)*x*(b*log(f))^(1/2)))/(8*b^2*log(f)^2*(b*log(f))^(1/2)) + (f^a*f^(b*x^2)*x^3)/(2*b*log(f))","B"
87,1,54,59,3.612458,"\text{Not used}","int(f^(a + b*x^2)*x^2,x)","\frac{f^a\,f^{b\,x^2}\,x}{2\,b\,\ln\left(f\right)}-\frac{f^a\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,x\,\ln\left(f\right)}{\sqrt{b\,\ln\left(f\right)}}\right)}{4\,b\,\ln\left(f\right)\,\sqrt{b\,\ln\left(f\right)}}","Not used",1,"(f^a*f^(b*x^2)*x)/(2*b*log(f)) - (f^a*pi^(1/2)*erfi((b*x*log(f))/(b*log(f))^(1/2)))/(4*b*log(f)*(b*log(f))^(1/2))","B"
88,1,26,37,3.551338,"\text{Not used}","int(f^(a + b*x^2),x)","\frac{f^a\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,x\,\ln\left(f\right)}{\sqrt{b\,\ln\left(f\right)}}\right)}{2\,\sqrt{b\,\ln\left(f\right)}}","Not used",1,"(f^a*pi^(1/2)*erfi((b*x*log(f))/(b*log(f))^(1/2)))/(2*(b*log(f))^(1/2))","B"
89,1,44,49,3.468197,"\text{Not used}","int(f^(a + b*x^2)/x^2,x)","\frac{b\,f^a\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,x\,\ln\left(f\right)}{\sqrt{b\,\ln\left(f\right)}}\right)\,\ln\left(f\right)}{\sqrt{b\,\ln\left(f\right)}}-\frac{f^a\,f^{b\,x^2}}{x}","Not used",1,"(b*f^a*pi^(1/2)*erfi((b*x*log(f))/(b*log(f))^(1/2))*log(f))/(b*log(f))^(1/2) - (f^a*f^(b*x^2))/x","B"
90,1,70,73,3.562184,"\text{Not used}","int(f^(a + b*x^2)/x^4,x)","\frac{2\,b^2\,f^a\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,x\,\ln\left(f\right)}{\sqrt{b\,\ln\left(f\right)}}\right)\,{\ln\left(f\right)}^2}{3\,\sqrt{b\,\ln\left(f\right)}}-\frac{\frac{f^a\,f^{b\,x^2}}{3}+\frac{2\,b\,f^a\,f^{b\,x^2}\,x^2\,\ln\left(f\right)}{3}}{x^3}","Not used",1,"(2*b^2*f^a*pi^(1/2)*erfi((b*x*log(f))/(b*log(f))^(1/2))*log(f)^2)/(3*(b*log(f))^(1/2)) - ((f^a*f^(b*x^2))/3 + (2*b*f^a*f^(b*x^2)*x^2*log(f))/3)/x^3","B"
91,1,109,96,3.558486,"\text{Not used}","int(f^(a + b*x^2)/x^6,x)","\frac{4\,f^a\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-b\,x^2\,\ln\left(f\right)}\right)\,{\left(-b\,x^2\,\ln\left(f\right)\right)}^{5/2}}{15\,x^5}-\frac{4\,f^a\,\sqrt{\pi }\,{\left(-b\,x^2\,\ln\left(f\right)\right)}^{5/2}}{15\,x^5}-\frac{f^a\,f^{b\,x^2}}{5\,x^5}-\frac{4\,b^2\,f^a\,f^{b\,x^2}\,{\ln\left(f\right)}^2}{15\,x}-\frac{2\,b\,f^a\,f^{b\,x^2}\,\ln\left(f\right)}{15\,x^3}","Not used",1,"(4*f^a*pi^(1/2)*erfc((-b*x^2*log(f))^(1/2))*(-b*x^2*log(f))^(5/2))/(15*x^5) - (4*f^a*pi^(1/2)*(-b*x^2*log(f))^(5/2))/(15*x^5) - (f^a*f^(b*x^2))/(5*x^5) - (4*b^2*f^a*f^(b*x^2)*log(f)^2)/(15*x) - (2*b*f^a*f^(b*x^2)*log(f))/(15*x^3)","B"
92,1,131,119,3.486358,"\text{Not used}","int(f^(a + b*x^2)/x^8,x)","\frac{8\,f^a\,\sqrt{\pi }\,{\left(-b\,x^2\,\ln\left(f\right)\right)}^{7/2}}{105\,x^7}-\frac{f^a\,f^{b\,x^2}}{7\,x^7}-\frac{8\,f^a\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-b\,x^2\,\ln\left(f\right)}\right)\,{\left(-b\,x^2\,\ln\left(f\right)\right)}^{7/2}}{105\,x^7}-\frac{4\,b^2\,f^a\,f^{b\,x^2}\,{\ln\left(f\right)}^2}{105\,x^3}-\frac{8\,b^3\,f^a\,f^{b\,x^2}\,{\ln\left(f\right)}^3}{105\,x}-\frac{2\,b\,f^a\,f^{b\,x^2}\,\ln\left(f\right)}{35\,x^5}","Not used",1,"(8*f^a*pi^(1/2)*(-b*x^2*log(f))^(7/2))/(105*x^7) - (f^a*f^(b*x^2))/(7*x^7) - (8*f^a*pi^(1/2)*erfc((-b*x^2*log(f))^(1/2))*(-b*x^2*log(f))^(7/2))/(105*x^7) - (4*b^2*f^a*f^(b*x^2)*log(f)^2)/(105*x^3) - (8*b^3*f^a*f^(b*x^2)*log(f)^3)/(105*x) - (2*b*f^a*f^(b*x^2)*log(f))/(35*x^5)","B"
93,1,153,34,3.513157,"\text{Not used}","int(f^(a + b*x^2)/x^10,x)","\frac{16\,f^a\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-b\,x^2\,\ln\left(f\right)}\right)\,{\left(-b\,x^2\,\ln\left(f\right)\right)}^{9/2}}{945\,x^9}-\frac{16\,f^a\,\sqrt{\pi }\,{\left(-b\,x^2\,\ln\left(f\right)\right)}^{9/2}}{945\,x^9}-\frac{f^a\,f^{b\,x^2}}{9\,x^9}-\frac{4\,b^2\,f^a\,f^{b\,x^2}\,{\ln\left(f\right)}^2}{315\,x^5}-\frac{8\,b^3\,f^a\,f^{b\,x^2}\,{\ln\left(f\right)}^3}{945\,x^3}-\frac{16\,b^4\,f^a\,f^{b\,x^2}\,{\ln\left(f\right)}^4}{945\,x}-\frac{2\,b\,f^a\,f^{b\,x^2}\,\ln\left(f\right)}{63\,x^7}","Not used",1,"(16*f^a*pi^(1/2)*erfc((-b*x^2*log(f))^(1/2))*(-b*x^2*log(f))^(9/2))/(945*x^9) - (16*f^a*pi^(1/2)*(-b*x^2*log(f))^(9/2))/(945*x^9) - (f^a*f^(b*x^2))/(9*x^9) - (4*b^2*f^a*f^(b*x^2)*log(f)^2)/(315*x^5) - (8*b^3*f^a*f^(b*x^2)*log(f)^3)/(945*x^3) - (16*b^4*f^a*f^(b*x^2)*log(f)^4)/(945*x) - (2*b*f^a*f^(b*x^2)*log(f))/(63*x^7)","B"
94,1,175,34,3.630631,"\text{Not used}","int(f^(a + b*x^2)/x^12,x)","\frac{32\,f^a\,\sqrt{\pi }\,{\left(-b\,x^2\,\ln\left(f\right)\right)}^{11/2}}{10395\,x^{11}}-\frac{f^a\,f^{b\,x^2}}{11\,x^{11}}-\frac{32\,f^a\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-b\,x^2\,\ln\left(f\right)}\right)\,{\left(-b\,x^2\,\ln\left(f\right)\right)}^{11/2}}{10395\,x^{11}}-\frac{4\,b^2\,f^a\,f^{b\,x^2}\,{\ln\left(f\right)}^2}{693\,x^7}-\frac{8\,b^3\,f^a\,f^{b\,x^2}\,{\ln\left(f\right)}^3}{3465\,x^5}-\frac{16\,b^4\,f^a\,f^{b\,x^2}\,{\ln\left(f\right)}^4}{10395\,x^3}-\frac{32\,b^5\,f^a\,f^{b\,x^2}\,{\ln\left(f\right)}^5}{10395\,x}-\frac{2\,b\,f^a\,f^{b\,x^2}\,\ln\left(f\right)}{99\,x^9}","Not used",1,"(32*f^a*pi^(1/2)*(-b*x^2*log(f))^(11/2))/(10395*x^11) - (f^a*f^(b*x^2))/(11*x^11) - (32*f^a*pi^(1/2)*erfc((-b*x^2*log(f))^(1/2))*(-b*x^2*log(f))^(11/2))/(10395*x^11) - (4*b^2*f^a*f^(b*x^2)*log(f)^2)/(693*x^7) - (8*b^3*f^a*f^(b*x^2)*log(f)^3)/(3465*x^5) - (16*b^4*f^a*f^(b*x^2)*log(f)^4)/(10395*x^3) - (32*b^5*f^a*f^(b*x^2)*log(f)^5)/(10395*x) - (2*b*f^a*f^(b*x^2)*log(f))/(99*x^9)","B"
95,1,56,46,3.391616,"\text{Not used}","int(f^(a + b*x^3)*x^m,x)","\frac{f^a\,x^{m+1}\,{\mathrm{e}}^{\frac{b\,x^3\,\ln\left(f\right)}{2}}\,{\mathrm{M}}_{\frac{1}{3}-\frac{m}{6},\frac{m}{6}+\frac{1}{6}}\left(b\,x^3\,\ln\left(f\right)\right)}{\left(m+1\right)\,{\left(b\,x^3\,\ln\left(f\right)\right)}^{\frac{m}{6}+\frac{2}{3}}}","Not used",1,"(f^a*x^(m + 1)*exp((b*x^3*log(f))/2)*whittakerM(1/3 - m/6, m/6 + 1/6, b*x^3*log(f)))/((m + 1)*(b*x^3*log(f))^(m/6 + 2/3))","B"
96,1,76,78,3.662248,"\text{Not used}","int(f^(a + b*x^3)*x^17,x)","-\frac{f^{b\,x^3+a}\,\left(-\frac{b^5\,x^{15}\,{\ln\left(f\right)}^5}{3}+\frac{5\,b^4\,x^{12}\,{\ln\left(f\right)}^4}{3}-\frac{20\,b^3\,x^9\,{\ln\left(f\right)}^3}{3}+20\,b^2\,x^6\,{\ln\left(f\right)}^2-40\,b\,x^3\,\ln\left(f\right)+40\right)}{b^6\,{\ln\left(f\right)}^6}","Not used",1,"-(f^(a + b*x^3)*(20*b^2*x^6*log(f)^2 - (20*b^3*x^9*log(f)^3)/3 + (5*b^4*x^12*log(f)^4)/3 - (b^5*x^15*log(f)^5)/3 - 40*b*x^3*log(f) + 40))/(b^6*log(f)^6)","B"
97,1,63,65,3.539153,"\text{Not used}","int(f^(a + b*x^3)*x^14,x)","\frac{f^{b\,x^3+a}\,\left(\frac{b^4\,x^{12}\,{\ln\left(f\right)}^4}{3}-\frac{4\,b^3\,x^9\,{\ln\left(f\right)}^3}{3}+4\,b^2\,x^6\,{\ln\left(f\right)}^2-8\,b\,x^3\,\ln\left(f\right)+8\right)}{b^5\,{\ln\left(f\right)}^5}","Not used",1,"(f^(a + b*x^3)*(4*b^2*x^6*log(f)^2 - (4*b^3*x^9*log(f)^3)/3 + (b^4*x^12*log(f)^4)/3 - 8*b*x^3*log(f) + 8))/(b^5*log(f)^5)","B"
98,1,51,84,3.457272,"\text{Not used}","int(f^(a + b*x^3)*x^11,x)","-\frac{f^{b\,x^3+a}\,\left(-\frac{b^3\,x^9\,{\ln\left(f\right)}^3}{3}+b^2\,x^6\,{\ln\left(f\right)}^2-2\,b\,x^3\,\ln\left(f\right)+2\right)}{b^4\,{\ln\left(f\right)}^4}","Not used",1,"-(f^(a + b*x^3)*(b^2*x^6*log(f)^2 - (b^3*x^9*log(f)^3)/3 - 2*b*x^3*log(f) + 2))/(b^4*log(f)^4)","B"
99,1,39,67,3.473785,"\text{Not used}","int(f^(a + b*x^3)*x^8,x)","\frac{f^{b\,x^3+a}\,\left(\frac{b^2\,x^6\,{\ln\left(f\right)}^2}{3}-\frac{2\,b\,x^3\,\ln\left(f\right)}{3}+\frac{2}{3}\right)}{b^3\,{\ln\left(f\right)}^3}","Not used",1,"(f^(a + b*x^3)*((b^2*x^6*log(f)^2)/3 - (2*b*x^3*log(f))/3 + 2/3))/(b^3*log(f)^3)","B"
100,1,27,44,3.246466,"\text{Not used}","int(f^(a + b*x^3)*x^5,x)","\frac{f^{b\,x^3+a}\,\left(\frac{b\,x^3\,\ln\left(f\right)}{3}-\frac{1}{3}\right)}{b^2\,{\ln\left(f\right)}^2}","Not used",1,"(f^(a + b*x^3)*((b*x^3*log(f))/3 - 1/3))/(b^2*log(f)^2)","B"
101,1,18,20,3.469065,"\text{Not used}","int(f^(a + b*x^3)*x^2,x)","\frac{f^{b\,x^3+a}}{3\,b\,\ln\left(f\right)}","Not used",1,"f^(a + b*x^3)/(3*b*log(f))","B"
102,1,13,15,3.238657,"\text{Not used}","int(f^(a + b*x^3)/x,x)","\frac{f^a\,\mathrm{ei}\left(b\,x^3\,\ln\left(f\right)\right)}{3}","Not used",1,"(f^a*ei(b*x^3*log(f)))/3","B"
103,1,32,35,3.527305,"\text{Not used}","int(f^(a + b*x^3)/x^4,x)","-\frac{f^a\,\left(f^{b\,x^3}+b\,x^3\,\ln\left(f\right)\,\mathrm{expint}\left(-b\,x^3\,\ln\left(f\right)\right)\right)}{3\,x^3}","Not used",1,"-(f^a*(f^(b*x^3) + b*x^3*log(f)*expint(-b*x^3*log(f))))/(3*x^3)","B"
104,1,57,58,3.318737,"\text{Not used}","int(f^(a + b*x^3)/x^7,x)","-\frac{b^2\,f^a\,{\ln\left(f\right)}^2\,\left(f^{b\,x^3}\,\left(\frac{1}{2\,b\,x^3\,\ln\left(f\right)}+\frac{1}{2\,b^2\,x^6\,{\ln\left(f\right)}^2}\right)+\frac{\mathrm{expint}\left(-b\,x^3\,\ln\left(f\right)\right)}{2}\right)}{3}","Not used",1,"-(b^2*f^a*log(f)^2*(f^(b*x^3)*(1/(2*b*x^3*log(f)) + 1/(2*b^2*x^6*log(f)^2)) + expint(-b*x^3*log(f))/2))/3","B"
105,1,69,81,3.526871,"\text{Not used}","int(f^(a + b*x^3)/x^10,x)","-\frac{b^3\,f^a\,{\ln\left(f\right)}^3\,\left(f^{b\,x^3}\,\left(\frac{1}{6\,b\,x^3\,\ln\left(f\right)}+\frac{1}{6\,b^2\,x^6\,{\ln\left(f\right)}^2}+\frac{1}{3\,b^3\,x^9\,{\ln\left(f\right)}^3}\right)+\frac{\mathrm{expint}\left(-b\,x^3\,\ln\left(f\right)\right)}{6}\right)}{3}","Not used",1,"-(b^3*f^a*log(f)^3*(f^(b*x^3)*(1/(6*b*x^3*log(f)) + 1/(6*b^2*x^6*log(f)^2) + 1/(3*b^3*x^9*log(f)^3)) + expint(-b*x^3*log(f))/6))/3","B"
106,1,90,24,3.576298,"\text{Not used}","int(f^(a + b*x^3)/x^13,x)","-\frac{b^4\,f^a\,{\ln\left(f\right)}^4\,\mathrm{expint}\left(-b\,x^3\,\ln\left(f\right)\right)}{72}-\frac{b^4\,f^a\,f^{b\,x^3}\,{\ln\left(f\right)}^4\,\left(\frac{1}{24\,b\,x^3\,\ln\left(f\right)}+\frac{1}{24\,b^2\,x^6\,{\ln\left(f\right)}^2}+\frac{1}{12\,b^3\,x^9\,{\ln\left(f\right)}^3}+\frac{1}{4\,b^4\,x^{12}\,{\ln\left(f\right)}^4}\right)}{3}","Not used",1,"- (b^4*f^a*log(f)^4*expint(-b*x^3*log(f)))/72 - (b^4*f^a*f^(b*x^3)*log(f)^4*(1/(24*b*x^3*log(f)) + 1/(24*b^2*x^6*log(f)^2) + 1/(12*b^3*x^9*log(f)^3) + 1/(4*b^4*x^12*log(f)^4)))/3","B"
107,1,102,24,3.470169,"\text{Not used}","int(f^(a + b*x^3)/x^16,x)","-\frac{b^5\,f^a\,{\ln\left(f\right)}^5\,\mathrm{expint}\left(-b\,x^3\,\ln\left(f\right)\right)}{360}-\frac{b^5\,f^a\,f^{b\,x^3}\,{\ln\left(f\right)}^5\,\left(\frac{1}{120\,b\,x^3\,\ln\left(f\right)}+\frac{1}{120\,b^2\,x^6\,{\ln\left(f\right)}^2}+\frac{1}{60\,b^3\,x^9\,{\ln\left(f\right)}^3}+\frac{1}{20\,b^4\,x^{12}\,{\ln\left(f\right)}^4}+\frac{1}{5\,b^5\,x^{15}\,{\ln\left(f\right)}^5}\right)}{3}","Not used",1,"- (b^5*f^a*log(f)^5*expint(-b*x^3*log(f)))/360 - (b^5*f^a*f^(b*x^3)*log(f)^5*(1/(120*b*x^3*log(f)) + 1/(120*b^2*x^6*log(f)^2) + 1/(60*b^3*x^9*log(f)^3) + 1/(20*b^4*x^12*log(f)^4) + 1/(5*b^5*x^15*log(f)^5)))/3","B"
108,1,71,34,3.560832,"\text{Not used}","int(f^(a + b*x^3)*x^4,x)","\frac{2\,f^a\,x^5\,\Gamma \left(\frac{2}{3}\right)}{9\,{\left(-b\,x^3\,\ln\left(f\right)\right)}^{5/3}}-\frac{2\,f^a\,x^5\,\Gamma \left(\frac{2}{3},-b\,x^3\,\ln\left(f\right)\right)}{9\,{\left(-b\,x^3\,\ln\left(f\right)\right)}^{5/3}}+\frac{f^a\,f^{b\,x^3}\,x^2}{3\,b\,\ln\left(f\right)}","Not used",1,"(2*f^a*x^5*gamma(2/3))/(9*(-b*x^3*log(f))^(5/3)) - (2*f^a*x^5*igamma(2/3, -b*x^3*log(f)))/(9*(-b*x^3*log(f))^(5/3)) + (f^a*f^(b*x^3)*x^2)/(3*b*log(f))","B"
109,1,75,34,3.184510,"\text{Not used}","int(f^(a + b*x^3)*x^3,x)","\frac{f^a\,f^{b\,x^3}\,x}{3\,b\,\ln\left(f\right)}-\frac{f^a\,x^4\,\Gamma \left(\frac{1}{3},-b\,x^3\,\ln\left(f\right)\right)}{9\,{\left(-b\,x^3\,\ln\left(f\right)\right)}^{4/3}}+\frac{2\,\pi \,\sqrt{3}\,f^a\,x^4}{27\,\Gamma \left(\frac{2}{3}\right)\,{\left(-b\,x^3\,\ln\left(f\right)\right)}^{4/3}}","Not used",1,"(f^a*f^(b*x^3)*x)/(3*b*log(f)) - (f^a*x^4*igamma(1/3, -b*x^3*log(f)))/(9*(-b*x^3*log(f))^(4/3)) + (2*3^(1/2)*f^a*x^4*pi)/(27*gamma(2/3)*(-b*x^3*log(f))^(4/3))","B"
110,0,-1,34,0.000000,"\text{Not used}","int(f^(a + b*x^3)*x,x)","\int f^{b\,x^3+a}\,x \,d x","Not used",1,"int(f^(a + b*x^3)*x, x)","F"
111,0,-1,32,0.000000,"\text{Not used}","int(f^(a + b*x^3),x)","\int f^{b\,x^3+a} \,d x","Not used",1,"int(f^(a + b*x^3), x)","F"
112,1,63,34,3.474850,"\text{Not used}","int(f^(a + b*x^3)/x^2,x)","\frac{f^a\,\Gamma \left(\frac{2}{3},-b\,x^3\,\ln\left(f\right)\right)\,{\left(-b\,x^3\,\ln\left(f\right)\right)}^{1/3}}{x}-\frac{f^a\,\Gamma \left(\frac{2}{3}\right)\,{\left(-b\,x^3\,\ln\left(f\right)\right)}^{1/3}}{x}-\frac{f^a\,f^{b\,x^3}}{x}","Not used",1,"(f^a*igamma(2/3, -b*x^3*log(f))*(-b*x^3*log(f))^(1/3))/x - (f^a*gamma(2/3)*(-b*x^3*log(f))^(1/3))/x - (f^a*f^(b*x^3))/x","B"
113,1,70,34,3.584336,"\text{Not used}","int(f^(a + b*x^3)/x^3,x)","\frac{f^a\,\Gamma \left(\frac{1}{3},-b\,x^3\,\ln\left(f\right)\right)\,{\left(-b\,x^3\,\ln\left(f\right)\right)}^{2/3}}{2\,x^2}-\frac{f^a\,f^{b\,x^3}}{2\,x^2}-\frac{\pi \,\sqrt{3}\,f^a\,{\left(-b\,x^3\,\ln\left(f\right)\right)}^{2/3}}{3\,x^2\,\Gamma \left(\frac{2}{3}\right)}","Not used",1,"(f^a*igamma(1/3, -b*x^3*log(f))*(-b*x^3*log(f))^(2/3))/(2*x^2) - (f^a*f^(b*x^3))/(2*x^2) - (3^(1/2)*f^a*pi*(-b*x^3*log(f))^(2/3))/(3*x^2*gamma(2/3))","B"
114,1,8,11,0.042538,"\text{Not used}","int(x^2*exp(4*x^3),x)","\frac{{\mathrm{e}}^{4\,x^3}}{12}","Not used",1,"exp(4*x^3)/12","B"
115,1,52,35,3.504667,"\text{Not used}","int(f^(a + b/x)*x^m,x)","\frac{f^a\,x^{m+1}\,{\mathrm{e}}^{\frac{b\,\ln\left(f\right)}{2\,x}}\,{\mathrm{M}}_{\frac{m}{2}+1,-\frac{m}{2}-\frac{1}{2}}\left(\frac{b\,\ln\left(f\right)}{x}\right)\,{\left(\frac{b\,\ln\left(f\right)}{x}\right)}^{m/2}}{m+1}","Not used",1,"(f^a*x^(m + 1)*exp((b*log(f))/(2*x))*whittakerM(m/2 + 1, - m/2 - 1/2, (b*log(f))/x)*((b*log(f))/x)^(m/2))/(m + 1)","B"
116,1,99,22,3.692488,"\text{Not used}","int(f^(a + b/x)*x^4,x)","\frac{b^5\,f^a\,{\ln\left(f\right)}^5\,\mathrm{expint}\left(-\frac{b\,\ln\left(f\right)}{x}\right)}{120}+b^5\,f^a\,f^{b/x}\,{\ln\left(f\right)}^5\,\left(\frac{x^2}{120\,b^2\,{\ln\left(f\right)}^2}+\frac{x^3}{60\,b^3\,{\ln\left(f\right)}^3}+\frac{x^4}{20\,b^4\,{\ln\left(f\right)}^4}+\frac{x^5}{5\,b^5\,{\ln\left(f\right)}^5}+\frac{x}{120\,b\,\ln\left(f\right)}\right)","Not used",1,"(b^5*f^a*log(f)^5*expint(-(b*log(f))/x))/120 + b^5*f^a*f^(b/x)*log(f)^5*(x^2/(120*b^2*log(f)^2) + x^3/(60*b^3*log(f)^3) + x^4/(20*b^4*log(f)^4) + x^5/(5*b^5*log(f)^5) + x/(120*b*log(f)))","B"
117,1,87,21,3.625674,"\text{Not used}","int(f^(a + b/x)*x^3,x)","\frac{b^4\,f^a\,{\ln\left(f\right)}^4\,\mathrm{expint}\left(-\frac{b\,\ln\left(f\right)}{x}\right)}{24}+b^4\,f^a\,f^{b/x}\,{\ln\left(f\right)}^4\,\left(\frac{x^2}{24\,b^2\,{\ln\left(f\right)}^2}+\frac{x^3}{12\,b^3\,{\ln\left(f\right)}^3}+\frac{x^4}{4\,b^4\,{\ln\left(f\right)}^4}+\frac{x}{24\,b\,\ln\left(f\right)}\right)","Not used",1,"(b^4*f^a*log(f)^4*expint(-(b*log(f))/x))/24 + b^4*f^a*f^(b/x)*log(f)^4*(x^2/(24*b^2*log(f)^2) + x^3/(12*b^3*log(f)^3) + x^4/(4*b^4*log(f)^4) + x/(24*b*log(f)))","B"
118,1,66,79,3.599607,"\text{Not used}","int(f^(a + b/x)*x^2,x)","b^3\,f^a\,{\ln\left(f\right)}^3\,\left(f^{b/x}\,\left(\frac{x^2}{6\,b^2\,{\ln\left(f\right)}^2}+\frac{x^3}{3\,b^3\,{\ln\left(f\right)}^3}+\frac{x}{6\,b\,\ln\left(f\right)}\right)+\frac{\mathrm{expint}\left(-\frac{b\,\ln\left(f\right)}{x}\right)}{6}\right)","Not used",1,"b^3*f^a*log(f)^3*(f^(b/x)*(x^2/(6*b^2*log(f)^2) + x^3/(3*b^3*log(f)^3) + x/(6*b*log(f))) + expint(-(b*log(f))/x)/6)","B"
119,1,54,56,3.639868,"\text{Not used}","int(f^(a + b/x)*x,x)","b^2\,f^a\,{\ln\left(f\right)}^2\,\left(f^{b/x}\,\left(\frac{x^2}{2\,b^2\,{\ln\left(f\right)}^2}+\frac{x}{2\,b\,\ln\left(f\right)}\right)+\frac{\mathrm{expint}\left(-\frac{b\,\ln\left(f\right)}{x}\right)}{2}\right)","Not used",1,"b^2*f^a*log(f)^2*(f^(b/x)*(x^2/(2*b^2*log(f)^2) + x/(2*b*log(f))) + expint(-(b*log(f))/x)/2)","B"
120,1,27,28,3.599617,"\text{Not used}","int(f^(a + b/x),x)","f^a\,\left(f^{b/x}\,x+b\,\ln\left(f\right)\,\mathrm{expint}\left(-\frac{b\,\ln\left(f\right)}{x}\right)\right)","Not used",1,"f^a*(f^(b/x)*x + b*log(f)*expint(-(b*log(f))/x))","B"
121,1,13,13,3.488638,"\text{Not used}","int(f^(a + b/x)/x,x)","-f^a\,\mathrm{ei}\left(\frac{b\,\ln\left(f\right)}{x}\right)","Not used",1,"-f^a*ei((b*log(f))/x)","B"
122,1,18,18,3.516425,"\text{Not used}","int(f^(a + b/x)/x^2,x)","-\frac{f^{a+\frac{b}{x}}}{b\,\ln\left(f\right)}","Not used",1,"-f^(a + b/x)/(b*log(f))","B"
123,1,27,39,3.546562,"\text{Not used}","int(f^(a + b/x)/x^3,x)","\frac{f^{a+\frac{b}{x}}\,\left(x-b\,\ln\left(f\right)\right)}{b^2\,x\,{\ln\left(f\right)}^2}","Not used",1,"(f^(a + b/x)*(x - b*log(f)))/(b^2*x*log(f)^2)","B"
124,1,45,61,3.553519,"\text{Not used}","int(f^(a + b/x)/x^4,x)","-\frac{f^{a+\frac{b}{x}}\,\left(\frac{1}{b\,\ln\left(f\right)}+\frac{2\,x^2}{b^3\,{\ln\left(f\right)}^3}-\frac{2\,x}{b^2\,{\ln\left(f\right)}^2}\right)}{x^2}","Not used",1,"-(f^(a + b/x)*(1/(b*log(f)) + (2*x^2)/(b^3*log(f)^3) - (2*x)/(b^2*log(f)^2)))/x^2","B"
125,1,57,82,3.545075,"\text{Not used}","int(f^(a + b/x)/x^5,x)","-\frac{f^{a+\frac{b}{x}}\,\left(\frac{1}{b\,\ln\left(f\right)}+\frac{6\,x^2}{b^3\,{\ln\left(f\right)}^3}-\frac{6\,x^3}{b^4\,{\ln\left(f\right)}^4}-\frac{3\,x}{b^2\,{\ln\left(f\right)}^2}\right)}{x^3}","Not used",1,"-(f^(a + b/x)*(1/(b*log(f)) + (6*x^2)/(b^3*log(f)^3) - (6*x^3)/(b^4*log(f)^4) - (3*x)/(b^2*log(f)^2)))/x^3","B"
126,1,69,65,3.598296,"\text{Not used}","int(f^(a + b/x)/x^6,x)","-\frac{f^{a+\frac{b}{x}}\,\left(\frac{1}{b\,\ln\left(f\right)}+\frac{12\,x^2}{b^3\,{\ln\left(f\right)}^3}-\frac{24\,x^3}{b^4\,{\ln\left(f\right)}^4}+\frac{24\,x^4}{b^5\,{\ln\left(f\right)}^5}-\frac{4\,x}{b^2\,{\ln\left(f\right)}^2}\right)}{x^4}","Not used",1,"-(f^(a + b/x)*(1/(b*log(f)) + (12*x^2)/(b^3*log(f)^3) - (24*x^3)/(b^4*log(f)^4) + (24*x^4)/(b^5*log(f)^5) - (4*x)/(b^2*log(f)^2)))/x^4","B"
127,1,81,77,3.649139,"\text{Not used}","int(f^(a + b/x)/x^7,x)","-\frac{f^{a+\frac{b}{x}}\,\left(\frac{1}{b\,\ln\left(f\right)}+\frac{20\,x^2}{b^3\,{\ln\left(f\right)}^3}-\frac{60\,x^3}{b^4\,{\ln\left(f\right)}^4}+\frac{120\,x^4}{b^5\,{\ln\left(f\right)}^5}-\frac{120\,x^5}{b^6\,{\ln\left(f\right)}^6}-\frac{5\,x}{b^2\,{\ln\left(f\right)}^2}\right)}{x^5}","Not used",1,"-(f^(a + b/x)*(1/(b*log(f)) + (20*x^2)/(b^3*log(f)^3) - (60*x^3)/(b^4*log(f)^4) + (120*x^4)/(b^5*log(f)^5) - (120*x^5)/(b^6*log(f)^6) - (5*x)/(b^2*log(f)^2)))/x^5","B"
128,1,54,46,3.505580,"\text{Not used}","int(f^(a + b/x^2)*x^m,x)","\frac{f^a\,x^{m+1}\,{\mathrm{e}}^{\frac{b\,\ln\left(f\right)}{2\,x^2}}\,{\mathrm{M}}_{\frac{m}{4}+\frac{3}{4},-\frac{m}{4}-\frac{1}{4}}\left(\frac{b\,\ln\left(f\right)}{x^2}\right)\,{\left(\frac{b\,\ln\left(f\right)}{x^2}\right)}^{\frac{m}{4}-\frac{1}{4}}}{m+1}","Not used",1,"(f^a*x^(m + 1)*exp((b*log(f))/(2*x^2))*whittakerM(m/4 + 3/4, - m/4 - 1/4, (b*log(f))/x^2)*((b*log(f))/x^2)^(m/4 - 1/4))/(m + 1)","B"
129,1,102,24,3.791327,"\text{Not used}","int(f^(a + b/x^2)*x^9,x)","\frac{b^5\,f^a\,{\ln\left(f\right)}^5\,\mathrm{expint}\left(-\frac{b\,\ln\left(f\right)}{x^2}\right)}{240}+\frac{b^5\,f^a\,f^{\frac{b}{x^2}}\,{\ln\left(f\right)}^5\,\left(\frac{x^2}{120\,b\,\ln\left(f\right)}+\frac{x^4}{120\,b^2\,{\ln\left(f\right)}^2}+\frac{x^6}{60\,b^3\,{\ln\left(f\right)}^3}+\frac{x^8}{20\,b^4\,{\ln\left(f\right)}^4}+\frac{x^{10}}{5\,b^5\,{\ln\left(f\right)}^5}\right)}{2}","Not used",1,"(b^5*f^a*log(f)^5*expint(-(b*log(f))/x^2))/240 + (b^5*f^a*f^(b/x^2)*log(f)^5*(x^2/(120*b*log(f)) + x^4/(120*b^2*log(f)^2) + x^6/(60*b^3*log(f)^3) + x^8/(20*b^4*log(f)^4) + x^10/(5*b^5*log(f)^5)))/2","B"
130,1,90,24,3.765543,"\text{Not used}","int(f^(a + b/x^2)*x^7,x)","\frac{b^4\,f^a\,{\ln\left(f\right)}^4\,\mathrm{expint}\left(-\frac{b\,\ln\left(f\right)}{x^2}\right)}{48}+\frac{b^4\,f^a\,f^{\frac{b}{x^2}}\,{\ln\left(f\right)}^4\,\left(\frac{x^2}{24\,b\,\ln\left(f\right)}+\frac{x^4}{24\,b^2\,{\ln\left(f\right)}^2}+\frac{x^6}{12\,b^3\,{\ln\left(f\right)}^3}+\frac{x^8}{4\,b^4\,{\ln\left(f\right)}^4}\right)}{2}","Not used",1,"(b^4*f^a*log(f)^4*expint(-(b*log(f))/x^2))/48 + (b^4*f^a*f^(b/x^2)*log(f)^4*(x^2/(24*b*log(f)) + x^4/(24*b^2*log(f)^2) + x^6/(12*b^3*log(f)^3) + x^8/(4*b^4*log(f)^4)))/2","B"
131,1,69,81,3.738222,"\text{Not used}","int(f^(a + b/x^2)*x^5,x)","\frac{b^3\,f^a\,{\ln\left(f\right)}^3\,\left(f^{\frac{b}{x^2}}\,\left(\frac{x^2}{6\,b\,\ln\left(f\right)}+\frac{x^4}{6\,b^2\,{\ln\left(f\right)}^2}+\frac{x^6}{3\,b^3\,{\ln\left(f\right)}^3}\right)+\frac{\mathrm{expint}\left(-\frac{b\,\ln\left(f\right)}{x^2}\right)}{6}\right)}{2}","Not used",1,"(b^3*f^a*log(f)^3*(f^(b/x^2)*(x^2/(6*b*log(f)) + x^4/(6*b^2*log(f)^2) + x^6/(3*b^3*log(f)^3)) + expint(-(b*log(f))/x^2)/6))/2","B"
132,1,57,58,3.649653,"\text{Not used}","int(f^(a + b/x^2)*x^3,x)","\frac{b^2\,f^a\,{\ln\left(f\right)}^2\,\left(f^{\frac{b}{x^2}}\,\left(\frac{x^2}{2\,b\,\ln\left(f\right)}+\frac{x^4}{2\,b^2\,{\ln\left(f\right)}^2}\right)+\frac{\mathrm{expint}\left(-\frac{b\,\ln\left(f\right)}{x^2}\right)}{2}\right)}{2}","Not used",1,"(b^2*f^a*log(f)^2*(f^(b/x^2)*(x^2/(2*b*log(f)) + x^4/(2*b^2*log(f)^2)) + expint(-(b*log(f))/x^2)/2))/2","B"
133,1,33,35,3.571767,"\text{Not used}","int(f^(a + b/x^2)*x,x)","\frac{f^a\,f^{\frac{b}{x^2}}\,x^2}{2}+\frac{b\,f^a\,\ln\left(f\right)\,\mathrm{expint}\left(-\frac{b\,\ln\left(f\right)}{x^2}\right)}{2}","Not used",1,"(f^a*f^(b/x^2)*x^2)/2 + (b*f^a*log(f)*expint(-(b*log(f))/x^2))/2","B"
134,1,13,15,3.503574,"\text{Not used}","int(f^(a + b/x^2)/x,x)","-\frac{f^a\,\mathrm{ei}\left(\frac{b\,\ln\left(f\right)}{x^2}\right)}{2}","Not used",1,"-(f^a*ei((b*log(f))/x^2))/2","B"
135,1,18,20,3.445959,"\text{Not used}","int(f^(a + b/x^2)/x^3,x)","-\frac{f^{a+\frac{b}{x^2}}}{2\,b\,\ln\left(f\right)}","Not used",1,"-f^(a + b/x^2)/(2*b*log(f))","B"
136,1,36,44,3.444104,"\text{Not used}","int(f^(a + b/x^2)/x^5,x)","-\frac{f^{a+\frac{b}{x^2}}\,\left(\frac{1}{2\,b\,\ln\left(f\right)}-\frac{x^2}{2\,b^2\,{\ln\left(f\right)}^2}\right)}{x^2}","Not used",1,"-(f^(a + b/x^2)*(1/(2*b*log(f)) - x^2/(2*b^2*log(f)^2)))/x^2","B"
137,1,47,62,3.551884,"\text{Not used}","int(f^(a + b/x^2)/x^7,x)","-\frac{f^{a+\frac{b}{x^2}}\,\left(\frac{1}{2\,b\,\ln\left(f\right)}-\frac{x^2}{b^2\,{\ln\left(f\right)}^2}+\frac{x^4}{b^3\,{\ln\left(f\right)}^3}\right)}{x^4}","Not used",1,"-(f^(a + b/x^2)*(1/(2*b*log(f)) - x^2/(b^2*log(f)^2) + x^4/(b^3*log(f)^3)))/x^4","B"
138,1,60,86,3.630944,"\text{Not used}","int(f^(a + b/x^2)/x^9,x)","-\frac{f^{a+\frac{b}{x^2}}\,\left(\frac{1}{2\,b\,\ln\left(f\right)}-\frac{3\,x^2}{2\,b^2\,{\ln\left(f\right)}^2}+\frac{3\,x^4}{b^3\,{\ln\left(f\right)}^3}-\frac{3\,x^6}{b^4\,{\ln\left(f\right)}^4}\right)}{x^6}","Not used",1,"-(f^(a + b/x^2)*(1/(2*b*log(f)) - (3*x^2)/(2*b^2*log(f)^2) + (3*x^4)/(b^3*log(f)^3) - (3*x^6)/(b^4*log(f)^4)))/x^6","B"
139,1,72,69,3.601093,"\text{Not used}","int(f^(a + b/x^2)/x^11,x)","-\frac{f^{a+\frac{b}{x^2}}\,\left(\frac{1}{2\,b\,\ln\left(f\right)}-\frac{2\,x^2}{b^2\,{\ln\left(f\right)}^2}+\frac{6\,x^4}{b^3\,{\ln\left(f\right)}^3}-\frac{12\,x^6}{b^4\,{\ln\left(f\right)}^4}+\frac{12\,x^8}{b^5\,{\ln\left(f\right)}^5}\right)}{x^8}","Not used",1,"-(f^(a + b/x^2)*(1/(2*b*log(f)) - (2*x^2)/(b^2*log(f)^2) + (6*x^4)/(b^3*log(f)^3) - (12*x^6)/(b^4*log(f)^4) + (12*x^8)/(b^5*log(f)^5)))/x^8","B"
140,1,84,82,3.613021,"\text{Not used}","int(f^(a + b/x^2)/x^13,x)","-\frac{f^{a+\frac{b}{x^2}}\,\left(\frac{1}{2\,b\,\ln\left(f\right)}-\frac{5\,x^2}{2\,b^2\,{\ln\left(f\right)}^2}+\frac{10\,x^4}{b^3\,{\ln\left(f\right)}^3}-\frac{30\,x^6}{b^4\,{\ln\left(f\right)}^4}+\frac{60\,x^8}{b^5\,{\ln\left(f\right)}^5}-\frac{60\,x^{10}}{b^6\,{\ln\left(f\right)}^6}\right)}{x^{10}}","Not used",1,"-(f^(a + b/x^2)*(1/(2*b*log(f)) - (5*x^2)/(2*b^2*log(f)^2) + (10*x^4)/(b^3*log(f)^3) - (30*x^6)/(b^4*log(f)^4) + (60*x^8)/(b^5*log(f)^5) - (60*x^10)/(b^6*log(f)^6)))/x^10","B"
141,1,173,34,3.659535,"\text{Not used}","int(f^(a + b/x^2)*x^10,x)","\frac{f^a\,f^{\frac{b}{x^2}}\,x^{11}}{11}-\frac{32\,f^a\,x^{11}\,\sqrt{\pi }\,{\left(-\frac{b\,\ln\left(f\right)}{x^2}\right)}^{11/2}}{10395}+\frac{32\,f^a\,x^{11}\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-\frac{b\,\ln\left(f\right)}{x^2}}\right)\,{\left(-\frac{b\,\ln\left(f\right)}{x^2}\right)}^{11/2}}{10395}+\frac{32\,b^5\,f^a\,f^{\frac{b}{x^2}}\,x\,{\ln\left(f\right)}^5}{10395}+\frac{4\,b^2\,f^a\,f^{\frac{b}{x^2}}\,x^7\,{\ln\left(f\right)}^2}{693}+\frac{8\,b^3\,f^a\,f^{\frac{b}{x^2}}\,x^5\,{\ln\left(f\right)}^3}{3465}+\frac{16\,b^4\,f^a\,f^{\frac{b}{x^2}}\,x^3\,{\ln\left(f\right)}^4}{10395}+\frac{2\,b\,f^a\,f^{\frac{b}{x^2}}\,x^9\,\ln\left(f\right)}{99}","Not used",1,"(f^a*f^(b/x^2)*x^11)/11 - (32*f^a*x^11*pi^(1/2)*(-(b*log(f))/x^2)^(11/2))/10395 + (32*f^a*x^11*pi^(1/2)*erfc((-(b*log(f))/x^2)^(1/2))*(-(b*log(f))/x^2)^(11/2))/10395 + (32*b^5*f^a*f^(b/x^2)*x*log(f)^5)/10395 + (4*b^2*f^a*f^(b/x^2)*x^7*log(f)^2)/693 + (8*b^3*f^a*f^(b/x^2)*x^5*log(f)^3)/3465 + (16*b^4*f^a*f^(b/x^2)*x^3*log(f)^4)/10395 + (2*b*f^a*f^(b/x^2)*x^9*log(f))/99","B"
142,1,151,34,3.656103,"\text{Not used}","int(f^(a + b/x^2)*x^8,x)","\frac{f^a\,f^{\frac{b}{x^2}}\,x^9}{9}+\frac{16\,f^a\,x^9\,\sqrt{\pi }\,{\left(-\frac{b\,\ln\left(f\right)}{x^2}\right)}^{9/2}}{945}-\frac{16\,f^a\,x^9\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-\frac{b\,\ln\left(f\right)}{x^2}}\right)\,{\left(-\frac{b\,\ln\left(f\right)}{x^2}\right)}^{9/2}}{945}+\frac{16\,b^4\,f^a\,f^{\frac{b}{x^2}}\,x\,{\ln\left(f\right)}^4}{945}+\frac{4\,b^2\,f^a\,f^{\frac{b}{x^2}}\,x^5\,{\ln\left(f\right)}^2}{315}+\frac{8\,b^3\,f^a\,f^{\frac{b}{x^2}}\,x^3\,{\ln\left(f\right)}^3}{945}+\frac{2\,b\,f^a\,f^{\frac{b}{x^2}}\,x^7\,\ln\left(f\right)}{63}","Not used",1,"(f^a*f^(b/x^2)*x^9)/9 + (16*f^a*x^9*pi^(1/2)*(-(b*log(f))/x^2)^(9/2))/945 - (16*f^a*x^9*pi^(1/2)*erfc((-(b*log(f))/x^2)^(1/2))*(-(b*log(f))/x^2)^(9/2))/945 + (16*b^4*f^a*f^(b/x^2)*x*log(f)^4)/945 + (4*b^2*f^a*f^(b/x^2)*x^5*log(f)^2)/315 + (8*b^3*f^a*f^(b/x^2)*x^3*log(f)^3)/945 + (2*b*f^a*f^(b/x^2)*x^7*log(f))/63","B"
143,1,129,119,3.660957,"\text{Not used}","int(f^(a + b/x^2)*x^6,x)","\frac{f^a\,f^{\frac{b}{x^2}}\,x^7}{7}-\frac{8\,f^a\,x^7\,\sqrt{\pi }\,{\left(-\frac{b\,\ln\left(f\right)}{x^2}\right)}^{7/2}}{105}+\frac{8\,f^a\,x^7\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-\frac{b\,\ln\left(f\right)}{x^2}}\right)\,{\left(-\frac{b\,\ln\left(f\right)}{x^2}\right)}^{7/2}}{105}+\frac{8\,b^3\,f^a\,f^{\frac{b}{x^2}}\,x\,{\ln\left(f\right)}^3}{105}+\frac{4\,b^2\,f^a\,f^{\frac{b}{x^2}}\,x^3\,{\ln\left(f\right)}^2}{105}+\frac{2\,b\,f^a\,f^{\frac{b}{x^2}}\,x^5\,\ln\left(f\right)}{35}","Not used",1,"(f^a*f^(b/x^2)*x^7)/7 - (8*f^a*x^7*pi^(1/2)*(-(b*log(f))/x^2)^(7/2))/105 + (8*f^a*x^7*pi^(1/2)*erfc((-(b*log(f))/x^2)^(1/2))*(-(b*log(f))/x^2)^(7/2))/105 + (8*b^3*f^a*f^(b/x^2)*x*log(f)^3)/105 + (4*b^2*f^a*f^(b/x^2)*x^3*log(f)^2)/105 + (2*b*f^a*f^(b/x^2)*x^5*log(f))/35","B"
144,1,107,96,3.613003,"\text{Not used}","int(f^(a + b/x^2)*x^4,x)","\frac{f^a\,f^{\frac{b}{x^2}}\,x^5}{5}+\frac{4\,f^a\,x^5\,\sqrt{\pi }\,{\left(-\frac{b\,\ln\left(f\right)}{x^2}\right)}^{5/2}}{15}-\frac{4\,f^a\,x^5\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-\frac{b\,\ln\left(f\right)}{x^2}}\right)\,{\left(-\frac{b\,\ln\left(f\right)}{x^2}\right)}^{5/2}}{15}+\frac{4\,b^2\,f^a\,f^{\frac{b}{x^2}}\,x\,{\ln\left(f\right)}^2}{15}+\frac{2\,b\,f^a\,f^{\frac{b}{x^2}}\,x^3\,\ln\left(f\right)}{15}","Not used",1,"(f^a*f^(b/x^2)*x^5)/5 + (4*f^a*x^5*pi^(1/2)*(-(b*log(f))/x^2)^(5/2))/15 - (4*f^a*x^5*pi^(1/2)*erfc((-(b*log(f))/x^2)^(1/2))*(-(b*log(f))/x^2)^(5/2))/15 + (4*b^2*f^a*f^(b/x^2)*x*log(f)^2)/15 + (2*b*f^a*f^(b/x^2)*x^3*log(f))/15","B"
145,1,71,73,3.606547,"\text{Not used}","int(f^(a + b/x^2)*x^2,x)","x^3\,\left(\frac{f^a\,f^{\frac{b}{x^2}}}{3}+\frac{2\,b\,f^a\,f^{\frac{b}{x^2}}\,\ln\left(f\right)}{3\,x^2}\right)-\frac{2\,b^2\,f^a\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,\ln\left(f\right)}{x\,\sqrt{b\,\ln\left(f\right)}}\right)\,{\ln\left(f\right)}^2}{3\,\sqrt{b\,\ln\left(f\right)}}","Not used",1,"x^3*((f^a*f^(b/x^2))/3 + (2*b*f^a*f^(b/x^2)*log(f))/(3*x^2)) - (2*b^2*f^a*pi^(1/2)*erfi((b*log(f))/(x*(b*log(f))^(1/2)))*log(f)^2)/(3*(b*log(f))^(1/2))","B"
146,1,44,49,3.598325,"\text{Not used}","int(f^(a + b/x^2),x)","f^a\,f^{\frac{b}{x^2}}\,x-\frac{b\,f^a\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,\ln\left(f\right)}{x\,\sqrt{b\,\ln\left(f\right)}}\right)\,\ln\left(f\right)}{\sqrt{b\,\ln\left(f\right)}}","Not used",1,"f^a*f^(b/x^2)*x - (b*f^a*pi^(1/2)*erfi((b*log(f))/(x*(b*log(f))^(1/2)))*log(f))/(b*log(f))^(1/2)","B"
147,1,28,39,3.522047,"\text{Not used}","int(f^(a + b/x^2)/x^2,x)","-\frac{f^a\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,\ln\left(f\right)}{x\,\sqrt{b\,\ln\left(f\right)}}\right)}{2\,\sqrt{b\,\ln\left(f\right)}}","Not used",1,"-(f^a*pi^(1/2)*erfi((b*log(f))/(x*(b*log(f))^(1/2))))/(2*(b*log(f))^(1/2))","B"
148,1,58,63,3.563155,"\text{Not used}","int(f^(a + b/x^2)/x^4,x)","\frac{f^a\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,\ln\left(f\right)}{x\,\sqrt{b\,\ln\left(f\right)}}\right)}{4\,b\,\ln\left(f\right)\,\sqrt{b\,\ln\left(f\right)}}-\frac{f^a\,f^{\frac{b}{x^2}}}{2\,b\,x\,\ln\left(f\right)}","Not used",1,"(f^a*pi^(1/2)*erfi((b*log(f))/(x*(b*log(f))^(1/2))))/(4*b*log(f)*(b*log(f))^(1/2)) - (f^a*f^(b/x^2))/(2*b*x*log(f))","B"
149,1,79,86,3.594159,"\text{Not used}","int(f^(a + b/x^2)/x^6,x)","-\frac{f^a\,\left(3\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,\ln\left(f\right)}{x\,\sqrt{b\,\ln\left(f\right)}}\right)-\frac{6\,f^{\frac{b}{x^2}}\,\sqrt{b\,\ln\left(f\right)}}{x}\right)}{8\,b^2\,{\ln\left(f\right)}^2\,\sqrt{b\,\ln\left(f\right)}}-\frac{f^a\,f^{\frac{b}{x^2}}}{2\,b\,x^3\,\ln\left(f\right)}","Not used",1,"- (f^a*(3*pi^(1/2)*erfi((b*log(f))/(x*(b*log(f))^(1/2))) - (6*f^(b/x^2)*(b*log(f))^(1/2))/x))/(8*b^2*log(f)^2*(b*log(f))^(1/2)) - (f^a*f^(b/x^2))/(2*b*x^3*log(f))","B"
150,1,102,109,3.661932,"\text{Not used}","int(f^(a + b/x^2)/x^8,x)","\frac{5\,f^a\,f^{\frac{b}{x^2}}}{4\,b^2\,x^3\,{\ln\left(f\right)}^2}-\frac{f^a\,f^{\frac{b}{x^2}}}{2\,b\,x^5\,\ln\left(f\right)}-\frac{15\,f^a\,f^{\frac{b}{x^2}}}{8\,b^3\,x\,{\ln\left(f\right)}^3}+\frac{15\,f^a\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,\ln\left(f\right)}{x\,\sqrt{b\,\ln\left(f\right)}}\right)}{16\,b^3\,{\ln\left(f\right)}^3\,\sqrt{b\,\ln\left(f\right)}}","Not used",1,"(5*f^a*f^(b/x^2))/(4*b^2*x^3*log(f)^2) - (f^a*f^(b/x^2))/(2*b*x^5*log(f)) - (15*f^a*f^(b/x^2))/(8*b^3*x*log(f)^3) + (15*f^a*pi^(1/2)*erfi((b*log(f))/(x*(b*log(f))^(1/2))))/(16*b^3*log(f)^3*(b*log(f))^(1/2))","B"
151,1,121,132,3.690712,"\text{Not used}","int(f^(a + b/x^2)/x^10,x)","-\frac{\frac{f^a\,\left(105\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,\ln\left(f\right)}{x\,\sqrt{b\,\ln\left(f\right)}}\right)-\frac{210\,f^{\frac{b}{x^2}}\,\sqrt{b\,\ln\left(f\right)}}{x}\right)}{32\,\sqrt{b\,\ln\left(f\right)}}-\frac{7\,b^2\,f^a\,f^{\frac{b}{x^2}}\,{\ln\left(f\right)}^2}{4\,x^5}+\frac{b^3\,f^a\,f^{\frac{b}{x^2}}\,{\ln\left(f\right)}^3}{2\,x^7}+\frac{35\,b\,f^a\,f^{\frac{b}{x^2}}\,\ln\left(f\right)}{8\,x^3}}{b^4\,{\ln\left(f\right)}^4}","Not used",1,"-((f^a*(105*pi^(1/2)*erfi((b*log(f))/(x*(b*log(f))^(1/2))) - (210*f^(b/x^2)*(b*log(f))^(1/2))/x))/(32*(b*log(f))^(1/2)) - (7*b^2*f^a*f^(b/x^2)*log(f)^2)/(4*x^5) + (b^3*f^a*f^(b/x^2)*log(f)^3)/(2*x^7) + (35*b*f^a*f^(b/x^2)*log(f))/(8*x^3))/(b^4*log(f)^4)","B"
152,1,142,34,3.705256,"\text{Not used}","int(f^(a + b/x^2)/x^12,x)","\frac{\frac{f^a\,\left(945\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,\ln\left(f\right)}{x\,\sqrt{b\,\ln\left(f\right)}}\right)-\frac{1890\,f^{\frac{b}{x^2}}\,\sqrt{b\,\ln\left(f\right)}}{x}\right)}{64\,\sqrt{b\,\ln\left(f\right)}}-\frac{63\,b^2\,f^a\,f^{\frac{b}{x^2}}\,{\ln\left(f\right)}^2}{8\,x^5}+\frac{9\,b^3\,f^a\,f^{\frac{b}{x^2}}\,{\ln\left(f\right)}^3}{4\,x^7}-\frac{b^4\,f^a\,f^{\frac{b}{x^2}}\,{\ln\left(f\right)}^4}{2\,x^9}+\frac{315\,b\,f^a\,f^{\frac{b}{x^2}}\,\ln\left(f\right)}{16\,x^3}}{b^5\,{\ln\left(f\right)}^5}","Not used",1,"((f^a*(945*pi^(1/2)*erfi((b*log(f))/(x*(b*log(f))^(1/2))) - (1890*f^(b/x^2)*(b*log(f))^(1/2))/x))/(64*(b*log(f))^(1/2)) - (63*b^2*f^a*f^(b/x^2)*log(f)^2)/(8*x^5) + (9*b^3*f^a*f^(b/x^2)*log(f)^3)/(4*x^7) - (b^4*f^a*f^(b/x^2)*log(f)^4)/(2*x^9) + (315*b*f^a*f^(b/x^2)*log(f))/(16*x^3))/(b^5*log(f)^5)","B"
153,1,159,34,3.713609,"\text{Not used}","int(f^(a + b/x^2)/x^14,x)","-\frac{\frac{f^a\,\left(\frac{10395\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,\ln\left(f\right)}{x\,\sqrt{b\,\ln\left(f\right)}}\right)}{128}-\frac{10395\,f^{\frac{b}{x^2}}\,\sqrt{b\,\ln\left(f\right)}}{64\,x}\right)}{\sqrt{b\,\ln\left(f\right)}}-\frac{693\,b^2\,f^{a+\frac{b}{x^2}}\,{\ln\left(f\right)}^2}{16\,x^5}+\frac{99\,b^3\,f^{a+\frac{b}{x^2}}\,{\ln\left(f\right)}^3}{8\,x^7}-\frac{11\,b^4\,f^{a+\frac{b}{x^2}}\,{\ln\left(f\right)}^4}{4\,x^9}+\frac{b^5\,f^{a+\frac{b}{x^2}}\,{\ln\left(f\right)}^5}{2\,x^{11}}+\frac{3465\,b\,f^{a+\frac{b}{x^2}}\,\ln\left(f\right)}{32\,x^3}}{b^6\,{\ln\left(f\right)}^6}","Not used",1,"-((f^a*((10395*pi^(1/2)*erfi((b*log(f))/(x*(b*log(f))^(1/2))))/128 - (10395*f^(b/x^2)*(b*log(f))^(1/2))/(64*x)))/(b*log(f))^(1/2) - (693*b^2*f^(a + b/x^2)*log(f)^2)/(16*x^5) + (99*b^3*f^(a + b/x^2)*log(f)^3)/(8*x^7) - (11*b^4*f^(a + b/x^2)*log(f)^4)/(4*x^9) + (b^5*f^(a + b/x^2)*log(f)^5)/(2*x^11) + (3465*b*f^(a + b/x^2)*log(f))/(32*x^3))/(b^6*log(f)^6)","B"
154,1,54,46,3.468003,"\text{Not used}","int(f^(a + b/x^3)*x^m,x)","\frac{f^a\,x^{m+1}\,{\mathrm{e}}^{\frac{b\,\ln\left(f\right)}{2\,x^3}}\,{\mathrm{M}}_{\frac{m}{6}+\frac{2}{3},-\frac{m}{6}-\frac{1}{6}}\left(\frac{b\,\ln\left(f\right)}{x^3}\right)\,{\left(\frac{b\,\ln\left(f\right)}{x^3}\right)}^{\frac{m}{6}-\frac{1}{3}}}{m+1}","Not used",1,"(f^a*x^(m + 1)*exp((b*log(f))/(2*x^3))*whittakerM(m/6 + 2/3, - m/6 - 1/6, (b*log(f))/x^3)*((b*log(f))/x^3)^(m/6 - 1/3))/(m + 1)","B"
155,1,102,24,3.827354,"\text{Not used}","int(f^(a + b/x^3)*x^14,x)","\frac{b^5\,f^a\,{\ln\left(f\right)}^5\,\mathrm{expint}\left(-\frac{b\,\ln\left(f\right)}{x^3}\right)}{360}+\frac{b^5\,f^a\,f^{\frac{b}{x^3}}\,{\ln\left(f\right)}^5\,\left(\frac{x^3}{120\,b\,\ln\left(f\right)}+\frac{x^6}{120\,b^2\,{\ln\left(f\right)}^2}+\frac{x^9}{60\,b^3\,{\ln\left(f\right)}^3}+\frac{x^{12}}{20\,b^4\,{\ln\left(f\right)}^4}+\frac{x^{15}}{5\,b^5\,{\ln\left(f\right)}^5}\right)}{3}","Not used",1,"(b^5*f^a*log(f)^5*expint(-(b*log(f))/x^3))/360 + (b^5*f^a*f^(b/x^3)*log(f)^5*(x^3/(120*b*log(f)) + x^6/(120*b^2*log(f)^2) + x^9/(60*b^3*log(f)^3) + x^12/(20*b^4*log(f)^4) + x^15/(5*b^5*log(f)^5)))/3","B"
156,1,90,24,3.778422,"\text{Not used}","int(f^(a + b/x^3)*x^11,x)","\frac{b^4\,f^a\,{\ln\left(f\right)}^4\,\mathrm{expint}\left(-\frac{b\,\ln\left(f\right)}{x^3}\right)}{72}+\frac{b^4\,f^a\,f^{\frac{b}{x^3}}\,{\ln\left(f\right)}^4\,\left(\frac{x^3}{24\,b\,\ln\left(f\right)}+\frac{x^6}{24\,b^2\,{\ln\left(f\right)}^2}+\frac{x^9}{12\,b^3\,{\ln\left(f\right)}^3}+\frac{x^{12}}{4\,b^4\,{\ln\left(f\right)}^4}\right)}{3}","Not used",1,"(b^4*f^a*log(f)^4*expint(-(b*log(f))/x^3))/72 + (b^4*f^a*f^(b/x^3)*log(f)^4*(x^3/(24*b*log(f)) + x^6/(24*b^2*log(f)^2) + x^9/(12*b^3*log(f)^3) + x^12/(4*b^4*log(f)^4)))/3","B"
157,1,69,81,3.700669,"\text{Not used}","int(f^(a + b/x^3)*x^8,x)","\frac{b^3\,f^a\,{\ln\left(f\right)}^3\,\left(f^{\frac{b}{x^3}}\,\left(\frac{x^3}{6\,b\,\ln\left(f\right)}+\frac{x^6}{6\,b^2\,{\ln\left(f\right)}^2}+\frac{x^9}{3\,b^3\,{\ln\left(f\right)}^3}\right)+\frac{\mathrm{expint}\left(-\frac{b\,\ln\left(f\right)}{x^3}\right)}{6}\right)}{3}","Not used",1,"(b^3*f^a*log(f)^3*(f^(b/x^3)*(x^3/(6*b*log(f)) + x^6/(6*b^2*log(f)^2) + x^9/(3*b^3*log(f)^3)) + expint(-(b*log(f))/x^3)/6))/3","B"
158,1,57,58,3.654758,"\text{Not used}","int(f^(a + b/x^3)*x^5,x)","\frac{b^2\,f^a\,{\ln\left(f\right)}^2\,\left(f^{\frac{b}{x^3}}\,\left(\frac{x^3}{2\,b\,\ln\left(f\right)}+\frac{x^6}{2\,b^2\,{\ln\left(f\right)}^2}\right)+\frac{\mathrm{expint}\left(-\frac{b\,\ln\left(f\right)}{x^3}\right)}{2}\right)}{3}","Not used",1,"(b^2*f^a*log(f)^2*(f^(b/x^3)*(x^3/(2*b*log(f)) + x^6/(2*b^2*log(f)^2)) + expint(-(b*log(f))/x^3)/2))/3","B"
159,1,33,35,3.665926,"\text{Not used}","int(f^(a + b/x^3)*x^2,x)","\frac{f^a\,f^{\frac{b}{x^3}}\,x^3}{3}+\frac{b\,f^a\,\ln\left(f\right)\,\mathrm{expint}\left(-\frac{b\,\ln\left(f\right)}{x^3}\right)}{3}","Not used",1,"(f^a*f^(b/x^3)*x^3)/3 + (b*f^a*log(f)*expint(-(b*log(f))/x^3))/3","B"
160,1,13,15,3.590657,"\text{Not used}","int(f^(a + b/x^3)/x,x)","-\frac{f^a\,\mathrm{ei}\left(\frac{b\,\ln\left(f\right)}{x^3}\right)}{3}","Not used",1,"-(f^a*ei((b*log(f))/x^3))/3","B"
161,1,18,20,3.441586,"\text{Not used}","int(f^(a + b/x^3)/x^4,x)","-\frac{f^{a+\frac{b}{x^3}}}{3\,b\,\ln\left(f\right)}","Not used",1,"-f^(a + b/x^3)/(3*b*log(f))","B"
162,1,36,44,3.493854,"\text{Not used}","int(f^(a + b/x^3)/x^7,x)","-\frac{f^{a+\frac{b}{x^3}}\,\left(\frac{1}{3\,b\,\ln\left(f\right)}-\frac{x^3}{3\,b^2\,{\ln\left(f\right)}^2}\right)}{x^3}","Not used",1,"-(f^(a + b/x^3)*(1/(3*b*log(f)) - x^3/(3*b^2*log(f)^2)))/x^3","B"
163,1,48,67,3.541309,"\text{Not used}","int(f^(a + b/x^3)/x^10,x)","-\frac{f^{a+\frac{b}{x^3}}\,\left(\frac{1}{3\,b\,\ln\left(f\right)}-\frac{2\,x^3}{3\,b^2\,{\ln\left(f\right)}^2}+\frac{2\,x^6}{3\,b^3\,{\ln\left(f\right)}^3}\right)}{x^6}","Not used",1,"-(f^(a + b/x^3)*(1/(3*b*log(f)) - (2*x^3)/(3*b^2*log(f)^2) + (2*x^6)/(3*b^3*log(f)^3)))/x^6","B"
164,1,60,83,3.537472,"\text{Not used}","int(f^(a + b/x^3)/x^13,x)","-\frac{f^{a+\frac{b}{x^3}}\,\left(\frac{1}{3\,b\,\ln\left(f\right)}-\frac{x^3}{b^2\,{\ln\left(f\right)}^2}+\frac{2\,x^6}{b^3\,{\ln\left(f\right)}^3}-\frac{2\,x^9}{b^4\,{\ln\left(f\right)}^4}\right)}{x^9}","Not used",1,"-(f^(a + b/x^3)*(1/(3*b*log(f)) - x^3/(b^2*log(f)^2) + (2*x^6)/(b^3*log(f)^3) - (2*x^9)/(b^4*log(f)^4)))/x^9","B"
165,1,72,69,3.515520,"\text{Not used}","int(f^(a + b/x^3)/x^16,x)","-\frac{f^{a+\frac{b}{x^3}}\,\left(\frac{1}{3\,b\,\ln\left(f\right)}-\frac{4\,x^3}{3\,b^2\,{\ln\left(f\right)}^2}+\frac{4\,x^6}{b^3\,{\ln\left(f\right)}^3}-\frac{8\,x^9}{b^4\,{\ln\left(f\right)}^4}+\frac{8\,x^{12}}{b^5\,{\ln\left(f\right)}^5}\right)}{x^{12}}","Not used",1,"-(f^(a + b/x^3)*(1/(3*b*log(f)) - (4*x^3)/(3*b^2*log(f)^2) + (4*x^6)/(b^3*log(f)^3) - (8*x^9)/(b^4*log(f)^4) + (8*x^12)/(b^5*log(f)^5)))/x^12","B"
166,1,84,82,3.591781,"\text{Not used}","int(f^(a + b/x^3)/x^19,x)","-\frac{f^{a+\frac{b}{x^3}}\,\left(\frac{1}{3\,b\,\ln\left(f\right)}-\frac{5\,x^3}{3\,b^2\,{\ln\left(f\right)}^2}+\frac{20\,x^6}{3\,b^3\,{\ln\left(f\right)}^3}-\frac{20\,x^9}{b^4\,{\ln\left(f\right)}^4}+\frac{40\,x^{12}}{b^5\,{\ln\left(f\right)}^5}-\frac{40\,x^{15}}{b^6\,{\ln\left(f\right)}^6}\right)}{x^{15}}","Not used",1,"-(f^(a + b/x^3)*(1/(3*b*log(f)) - (5*x^3)/(3*b^2*log(f)^2) + (20*x^6)/(3*b^3*log(f)^3) - (20*x^9)/(b^4*log(f)^4) + (40*x^12)/(b^5*log(f)^5) - (40*x^15)/(b^6*log(f)^6)))/x^15","B"
167,1,88,34,3.572527,"\text{Not used}","int(f^(a + b/x^3)*x^4,x)","\frac{f^a\,f^{\frac{b}{x^3}}\,x^5}{5}+\frac{3\,f^a\,x^5\,\Gamma \left(\frac{1}{3},-\frac{b\,\ln\left(f\right)}{x^3}\right)\,{\left(-\frac{b\,\ln\left(f\right)}{x^3}\right)}^{5/3}}{10}+\frac{3\,b\,f^a\,f^{\frac{b}{x^3}}\,x^2\,\ln\left(f\right)}{10}-\frac{\pi \,\sqrt{3}\,f^a\,x^5\,{\left(-\frac{b\,\ln\left(f\right)}{x^3}\right)}^{5/3}}{5\,\Gamma \left(\frac{2}{3}\right)}","Not used",1,"(f^a*f^(b/x^3)*x^5)/5 + (3*f^a*x^5*igamma(1/3, -(b*log(f))/x^3)*(-(b*log(f))/x^3)^(5/3))/10 + (3*b*f^a*f^(b/x^3)*x^2*log(f))/10 - (3^(1/2)*f^a*x^5*pi*(-(b*log(f))/x^3)^(5/3))/(5*gamma(2/3))","B"
168,1,80,34,3.587861,"\text{Not used}","int(f^(a + b/x^3)*x^3,x)","\frac{f^a\,f^{\frac{b}{x^3}}\,x^4}{4}-\frac{3\,f^a\,x^4\,\Gamma \left(\frac{2}{3}\right)\,{\left(-\frac{b\,\ln\left(f\right)}{x^3}\right)}^{4/3}}{4}+\frac{3\,f^a\,x^4\,\Gamma \left(\frac{2}{3},-\frac{b\,\ln\left(f\right)}{x^3}\right)\,{\left(-\frac{b\,\ln\left(f\right)}{x^3}\right)}^{4/3}}{4}+\frac{3\,b\,f^a\,f^{\frac{b}{x^3}}\,x\,\ln\left(f\right)}{4}","Not used",1,"(f^a*f^(b/x^3)*x^4)/4 - (3*f^a*x^4*gamma(2/3)*(-(b*log(f))/x^3)^(4/3))/4 + (3*f^a*x^4*igamma(2/3, -(b*log(f))/x^3)*(-(b*log(f))/x^3)^(4/3))/4 + (3*b*f^a*f^(b/x^3)*x*log(f))/4","B"
169,1,70,34,3.572159,"\text{Not used}","int(f^(a + b/x^3)*x,x)","\frac{f^a\,f^{\frac{b}{x^3}}\,x^2}{2}-\frac{f^a\,x^2\,\Gamma \left(\frac{1}{3},-\frac{b\,\ln\left(f\right)}{x^3}\right)\,{\left(-\frac{b\,\ln\left(f\right)}{x^3}\right)}^{2/3}}{2}+\frac{\pi \,\sqrt{3}\,f^a\,x^2\,{\left(-\frac{b\,\ln\left(f\right)}{x^3}\right)}^{2/3}}{3\,\Gamma \left(\frac{2}{3}\right)}","Not used",1,"(f^a*f^(b/x^3)*x^2)/2 - (f^a*x^2*igamma(1/3, -(b*log(f))/x^3)*(-(b*log(f))/x^3)^(2/3))/2 + (3^(1/2)*f^a*x^2*pi*(-(b*log(f))/x^3)^(2/3))/(3*gamma(2/3))","B"
170,1,48,32,3.587015,"\text{Not used}","int(f^(a + b/x^3),x)","f^a\,x\,\left(f^{\frac{b}{x^3}}+\Gamma \left(\frac{2}{3}\right)\,{\left(-\frac{b\,\ln\left(f\right)}{x^3}\right)}^{1/3}-\Gamma \left(\frac{2}{3},-\frac{b\,\ln\left(f\right)}{x^3}\right)\,{\left(-\frac{b\,\ln\left(f\right)}{x^3}\right)}^{1/3}\right)","Not used",1,"f^a*x*(f^(b/x^3) + gamma(2/3)*(-(b*log(f))/x^3)^(1/3) - igamma(2/3, -(b*log(f))/x^3)*(-(b*log(f))/x^3)^(1/3))","B"
171,1,46,34,3.581592,"\text{Not used}","int(f^(a + b/x^3)/x^2,x)","-\frac{2\,\pi \,\sqrt{3}\,f^a-3\,f^a\,\Gamma \left(\frac{2}{3}\right)\,\Gamma \left(\frac{1}{3},-\frac{b\,\ln\left(f\right)}{x^3}\right)}{9\,x\,\Gamma \left(\frac{2}{3}\right)\,{\left(-\frac{b\,\ln\left(f\right)}{x^3}\right)}^{1/3}}","Not used",1,"-(2*3^(1/2)*f^a*pi - 3*f^a*gamma(2/3)*igamma(1/3, -(b*log(f))/x^3))/(9*x*gamma(2/3)*(-(b*log(f))/x^3)^(1/3))","B"
172,1,33,34,3.561647,"\text{Not used}","int(f^(a + b/x^3)/x^3,x)","-\frac{f^a\,\left(\Gamma \left(\frac{2}{3}\right)-\Gamma \left(\frac{2}{3},-\frac{b\,\ln\left(f\right)}{x^3}\right)\right)}{3\,x^2\,{\left(-\frac{b\,\ln\left(f\right)}{x^3}\right)}^{2/3}}","Not used",1,"-(f^a*(gamma(2/3) - igamma(2/3, -(b*log(f))/x^3)))/(3*x^2*(-(b*log(f))/x^3)^(2/3))","B"
173,1,77,34,3.535557,"\text{Not used}","int(f^(a + b/x^3)/x^5,x)","\frac{f^a\,\Gamma \left(\frac{1}{3},-\frac{b\,\ln\left(f\right)}{x^3}\right)}{9\,x^4\,{\left(-\frac{b\,\ln\left(f\right)}{x^3}\right)}^{4/3}}-\frac{f^a\,f^{\frac{b}{x^3}}}{3\,b\,x\,\ln\left(f\right)}-\frac{2\,\pi \,\sqrt{3}\,f^a}{27\,x^4\,\Gamma \left(\frac{2}{3}\right)\,{\left(-\frac{b\,\ln\left(f\right)}{x^3}\right)}^{4/3}}","Not used",1,"(f^a*igamma(1/3, -(b*log(f))/x^3))/(9*x^4*(-(b*log(f))/x^3)^(4/3)) - (f^a*f^(b/x^3))/(3*b*x*log(f)) - (2*3^(1/2)*f^a*pi)/(27*x^4*gamma(2/3)*(-(b*log(f))/x^3)^(4/3))","B"
174,1,79,46,3.762517,"\text{Not used}","int(f^(a + b*x^n)*x^m,x)","\frac{f^a\,f^{b\,x^n}\,x^{m+1}\,{\mathrm{e}}^{-\frac{b\,x^n\,\ln\left(f\right)}{2}}\,{\mathrm{M}}_{1-\frac{m+n+1}{2\,n},\frac{m+n+1}{2\,n}-\frac{1}{2}}\left(b\,x^n\,\ln\left(f\right)\right)}{\left(m+1\right)\,{\left(b\,x^n\,\ln\left(f\right)\right)}^{\frac{m+n+1}{2\,n}}}","Not used",1,"(f^a*f^(b*x^n)*x^(m + 1)*exp(-(b*x^n*log(f))/2)*whittakerM(1 - (m + n + 1)/(2*n), (m + n + 1)/(2*n) - 1/2, b*x^n*log(f)))/((m + 1)*(b*x^n*log(f))^((m + n + 1)/(2*n)))","B"
175,1,54,39,3.607813,"\text{Not used}","int(f^(a + b*x^n)*x^3,x)","\frac{f^a\,x^4\,{\mathrm{e}}^{\frac{b\,x^n\,\ln\left(f\right)}{2}}\,{\mathrm{M}}_{\frac{1}{2}-\frac{2}{n},\frac{2}{n}}\left(b\,x^n\,\ln\left(f\right)\right)}{4\,{\left(b\,x^n\,\ln\left(f\right)\right)}^{\frac{2}{n}+\frac{1}{2}}}","Not used",1,"(f^a*x^4*exp((b*x^n*log(f))/2)*whittakerM(1/2 - 2/n, 2/n, b*x^n*log(f)))/(4*(b*x^n*log(f))^(2/n + 1/2))","B"
176,1,54,39,3.506319,"\text{Not used}","int(f^(a + b*x^n)*x^2,x)","\frac{f^a\,x^3\,{\mathrm{e}}^{\frac{b\,x^n\,\ln\left(f\right)}{2}}\,{\mathrm{M}}_{\frac{1}{2}-\frac{3}{2\,n},\frac{3}{2\,n}}\left(b\,x^n\,\ln\left(f\right)\right)}{3\,{\left(b\,x^n\,\ln\left(f\right)\right)}^{\frac{3}{2\,n}+\frac{1}{2}}}","Not used",1,"(f^a*x^3*exp((b*x^n*log(f))/2)*whittakerM(1/2 - 3/(2*n), 3/(2*n), b*x^n*log(f)))/(3*(b*x^n*log(f))^(3/(2*n) + 1/2))","B"
177,0,-1,39,0.000000,"\text{Not used}","int(f^(a + b*x^n)*x,x)","\int f^{a+b\,x^n}\,x \,d x","Not used",1,"int(f^(a + b*x^n)*x, x)","F"
178,0,-1,35,0.000000,"\text{Not used}","int(f^(a + b*x^n),x)","\int f^{a+b\,x^n} \,d x","Not used",1,"int(f^(a + b*x^n), x)","F"
179,0,-1,15,0.000000,"\text{Not used}","int(f^(a + b*x^n)/x,x)","\int \frac{f^{a+b\,x^n}}{x} \,d x","Not used",1,"int(f^(a + b*x^n)/x, x)","F"
180,1,52,37,3.530702,"\text{Not used}","int(f^(a + b*x^n)/x^2,x)","-\frac{f^a\,{\mathrm{e}}^{\frac{b\,x^n\,\ln\left(f\right)}{2}}\,{\mathrm{M}}_{\frac{1}{2\,n}+\frac{1}{2},-\frac{1}{2\,n}}\left(b\,x^n\,\ln\left(f\right)\right)\,{\left(b\,x^n\,\ln\left(f\right)\right)}^{\frac{1}{2\,n}-\frac{1}{2}}}{x}","Not used",1,"-(f^a*exp((b*x^n*log(f))/2)*whittakerM(1/(2*n) + 1/2, -1/(2*n), b*x^n*log(f))*(b*x^n*log(f))^(1/(2*n) - 1/2))/x","B"
181,1,48,39,3.517949,"\text{Not used}","int(f^(a + b*x^n)/x^3,x)","-\frac{f^a\,{\mathrm{e}}^{\frac{b\,x^n\,\ln\left(f\right)}{2}}\,{\mathrm{M}}_{\frac{1}{n}+\frac{1}{2},-\frac{1}{n}}\left(b\,x^n\,\ln\left(f\right)\right)\,{\left(b\,x^n\,\ln\left(f\right)\right)}^{\frac{1}{n}-\frac{1}{2}}}{2\,x^2}","Not used",1,"-(f^a*exp((b*x^n*log(f))/2)*whittakerM(1/n + 1/2, -1/n, b*x^n*log(f))*(b*x^n*log(f))^(1/n - 1/2))/(2*x^2)","B"
182,1,52,39,3.478185,"\text{Not used}","int(f^(a + b*x^n)/x^4,x)","-\frac{f^a\,{\mathrm{e}}^{\frac{b\,x^n\,\ln\left(f\right)}{2}}\,{\mathrm{M}}_{\frac{3}{2\,n}+\frac{1}{2},-\frac{3}{2\,n}}\left(b\,x^n\,\ln\left(f\right)\right)\,{\left(b\,x^n\,\ln\left(f\right)\right)}^{\frac{3}{2\,n}-\frac{1}{2}}}{3\,x^3}","Not used",1,"-(f^a*exp((b*x^n*log(f))/2)*whittakerM(3/(2*n) + 1/2, -3/(2*n), b*x^n*log(f))*(b*x^n*log(f))^(3/(2*n) - 1/2))/(3*x^3)","B"
183,0,-1,71,0.000000,"\text{Not used}","int(f^(a + b*x^n)*x^(3*n - 1),x)","\int f^{a+b\,x^n}\,x^{3\,n-1} \,d x","Not used",1,"int(f^(a + b*x^n)*x^(3*n - 1), x)","F"
184,0,-1,45,0.000000,"\text{Not used}","int(f^(a + b*x^n)*x^(2*n - 1),x)","\int f^{a+b\,x^n}\,x^{2\,n-1} \,d x","Not used",1,"int(f^(a + b*x^n)*x^(2*n - 1), x)","F"
185,1,20,20,3.503736,"\text{Not used}","int(f^(a + b*x^n)*x^(n - 1),x)","\frac{f^{a+b\,x^n}}{b\,n\,\ln\left(f\right)}","Not used",1,"f^(a + b*x^n)/(b*n*log(f))","B"
186,0,-1,15,0.000000,"\text{Not used}","int(f^(a + b*x^n)/x,x)","\int \frac{f^{a+b\,x^n}}{x} \,d x","Not used",1,"int(f^(a + b*x^n)/x, x)","F"
187,0,-1,38,0.000000,"\text{Not used}","int(f^(a + b*x^n)/x^(n + 1),x)","\int \frac{f^{a+b\,x^n}}{x^{n+1}} \,d x","Not used",1,"int(f^(a + b*x^n)/x^(n + 1), x)","F"
188,0,-1,71,0.000000,"\text{Not used}","int(f^(a + b*x^n)/x^(2*n + 1),x)","\int \frac{f^{a+b\,x^n}}{x^{2\,n+1}} \,d x","Not used",1,"int(f^(a + b*x^n)/x^(2*n + 1), x)","F"
189,0,-1,104,0.000000,"\text{Not used}","int(f^(a + b*x^n)*x^((5*n)/2 - 1),x)","\int f^{a+b\,x^n}\,x^{\frac{5\,n}{2}-1} \,d x","Not used",1,"int(f^(a + b*x^n)*x^((5*n)/2 - 1), x)","F"
190,0,-1,74,0.000000,"\text{Not used}","int(f^(a + b*x^n)*x^((3*n)/2 - 1),x)","\int f^{a+b\,x^n}\,x^{\frac{3\,n}{2}-1} \,d x","Not used",1,"int(f^(a + b*x^n)*x^((3*n)/2 - 1), x)","F"
191,0,-1,43,0.000000,"\text{Not used}","int(f^(a + b*x^n)*x^(n/2 - 1),x)","\int f^{a+b\,x^n}\,x^{\frac{n}{2}-1} \,d x","Not used",1,"int(f^(a + b*x^n)*x^(n/2 - 1), x)","F"
192,0,-1,66,0.000000,"\text{Not used}","int(f^(a + b*x^n)/x^(n/2 + 1),x)","\int \frac{f^{a+b\,x^n}}{x^{\frac{n}{2}+1}} \,d x","Not used",1,"int(f^(a + b*x^n)/x^(n/2 + 1), x)","F"
193,0,-1,96,0.000000,"\text{Not used}","int(f^(a + b*x^n)/x^((3*n)/2 + 1),x)","\int \frac{f^{a+b\,x^n}}{x^{\frac{3\,n}{2}+1}} \,d x","Not used",1,"int(f^(a + b*x^n)/x^((3*n)/2 + 1), x)","F"
194,1,9,16,0.028926,"\text{Not used}","int(x*exp(-0.1*x),x)","-10\,{\mathrm{e}}^{-0.1\,x}\,\left(x+10.0\right)","Not used",1,"-10*exp(-0.1*x)*(x + 10.0)","B"
195,1,171,203,3.558035,"\text{Not used}","int(f^(c*(a + b*x)^2)*x^3,x)","\frac{f^{b^2\,c\,x^2}\,f^{a^2\,c}\,f^{2\,a\,b\,c\,x}\,x^2}{2\,b^2\,c\,\ln\left(f\right)}-\frac{\sqrt{\pi }\,\mathrm{erfi}\left(\sqrt{c\,\ln\left(f\right)}\,\left(a+b\,x\right)\right)\,\left(\frac{a^3}{b^4}-\frac{3\,a}{2\,b^4\,c\,\ln\left(f\right)}\right)}{2\,\sqrt{c\,\ln\left(f\right)}}+\frac{f^{b^2\,c\,x^2}\,f^{a^2\,c}\,f^{2\,a\,b\,c\,x}\,\left(\frac{a^2\,c\,\ln\left(f\right)}{2}-\frac{1}{2}\right)}{b^4\,c^2\,{\ln\left(f\right)}^2}-\frac{a\,f^{b^2\,c\,x^2}\,f^{a^2\,c}\,f^{2\,a\,b\,c\,x}\,x}{2\,b^3\,c\,\ln\left(f\right)}","Not used",1,"(f^(b^2*c*x^2)*f^(a^2*c)*f^(2*a*b*c*x)*x^2)/(2*b^2*c*log(f)) - (pi^(1/2)*erfi((c*log(f))^(1/2)*(a + b*x))*(a^3/b^4 - (3*a)/(2*b^4*c*log(f))))/(2*(c*log(f))^(1/2)) + (f^(b^2*c*x^2)*f^(a^2*c)*f^(2*a*b*c*x)*((a^2*c*log(f))/2 - 1/2))/(b^4*c^2*log(f)^2) - (a*f^(b^2*c*x^2)*f^(a^2*c)*f^(2*a*b*c*x)*x)/(2*b^3*c*log(f))","B"
196,1,121,140,3.611588,"\text{Not used}","int(f^(c*(a + b*x)^2)*x^2,x)","\frac{\sqrt{\pi }\,\mathrm{erfi}\left(\sqrt{c\,\ln\left(f\right)}\,\left(a+b\,x\right)\right)\,\left(\frac{a^2}{b^3}-\frac{1}{2\,b^3\,c\,\ln\left(f\right)}\right)}{2\,\sqrt{c\,\ln\left(f\right)}}-\frac{a\,f^{b^2\,c\,x^2}\,f^{a^2\,c}\,f^{2\,a\,b\,c\,x}}{2\,b^3\,c\,\ln\left(f\right)}+\frac{f^{b^2\,c\,x^2}\,f^{a^2\,c}\,f^{2\,a\,b\,c\,x}\,x}{2\,b^2\,c\,\ln\left(f\right)}","Not used",1,"(pi^(1/2)*erfi((c*log(f))^(1/2)*(a + b*x))*(a^2/b^3 - 1/(2*b^3*c*log(f))))/(2*(c*log(f))^(1/2)) - (a*f^(b^2*c*x^2)*f^(a^2*c)*f^(2*a*b*c*x))/(2*b^3*c*log(f)) + (f^(b^2*c*x^2)*f^(a^2*c)*f^(2*a*b*c*x)*x)/(2*b^2*c*log(f))","B"
197,1,66,68,3.482057,"\text{Not used}","int(f^(c*(a + b*x)^2)*x,x)","\frac{f^{b^2\,c\,x^2}\,f^{a^2\,c}\,f^{2\,a\,b\,c\,x}}{2\,b^2\,c\,\ln\left(f\right)}-\frac{a\,\sqrt{\pi }\,\mathrm{erfi}\left(\sqrt{c\,\ln\left(f\right)}\,\left(a+b\,x\right)\right)}{2\,b^2\,\sqrt{c\,\ln\left(f\right)}}","Not used",1,"(f^(b^2*c*x^2)*f^(a^2*c)*f^(2*a*b*c*x))/(2*b^2*c*log(f)) - (a*pi^(1/2)*erfi((c*log(f))^(1/2)*(a + b*x)))/(2*b^2*(c*log(f))^(1/2))","B"
198,1,45,41,0.044380,"\text{Not used}","int(f^(c*(a + b*x)^2),x)","-\frac{\sqrt{\pi }\,\mathrm{erf}\left(\frac{1{}\mathrm{i}\,c\,x\,\ln\left(f\right)\,b^2+1{}\mathrm{i}\,a\,c\,\ln\left(f\right)\,b}{\sqrt{b^2\,c\,\ln\left(f\right)}}\right)\,1{}\mathrm{i}}{2\,\sqrt{b^2\,c\,\ln\left(f\right)}}","Not used",1,"-(pi^(1/2)*erf((a*b*c*log(f)*1i + b^2*c*x*log(f)*1i)/(b^2*c*log(f))^(1/2))*1i)/(2*(b^2*c*log(f))^(1/2))","B"
199,0,-1,18,0.000000,"\text{Not used}","int(f^(c*(a + b*x)^2)/x,x)","\int \frac{f^{c\,{\left(a+b\,x\right)}^2}}{x} \,d x","Not used",0,"int(f^(c*(a + b*x)^2)/x, x)","F"
200,0,-1,78,0.000000,"\text{Not used}","int(f^(c*(a + b*x)^2)/x^2,x)","\int \frac{f^{c\,{\left(a+b\,x\right)}^2}}{x^2} \,d x","Not used",0,"int(f^(c*(a + b*x)^2)/x^2, x)","F"
201,0,-1,137,0.000000,"\text{Not used}","int(f^(c*(a + b*x)^2)/x^3,x)","\int \frac{f^{c\,{\left(a+b\,x\right)}^2}}{x^3} \,d x","Not used",0,"int(f^(c*(a + b*x)^2)/x^3, x)","F"
202,0,-1,120,0.000000,"\text{Not used}","int(f^(c*(a + b*x)^3)*x^2,x)","\int f^{c\,{\left(a+b\,x\right)}^3}\,x^2 \,d x","Not used",1,"int(f^(c*(a + b*x)^3)*x^2, x)","F"
203,0,-1,92,0.000000,"\text{Not used}","int(f^(c*(a + b*x)^3)*x,x)","\int f^{c\,{\left(a+b\,x\right)}^3}\,x \,d x","Not used",1,"int(f^(c*(a + b*x)^3)*x, x)","F"
204,0,-1,44,0.000000,"\text{Not used}","int(f^(c*(a + b*x)^3),x)","\int f^{c\,{\left(a+b\,x\right)}^3} \,d x","Not used",1,"int(f^(c*(a + b*x)^3), x)","F"
205,0,-1,18,0.000000,"\text{Not used}","int(f^(c*(a + b*x)^3)/x,x)","\int \frac{f^{c\,{\left(a+b\,x\right)}^3}}{x} \,d x","Not used",0,"int(f^(c*(a + b*x)^3)/x, x)","F"
206,0,-1,133,0.000000,"\text{Not used}","int(f^(c*(a + b*x)^3)/x^2,x)","\int \frac{f^{c\,{\left(a+b\,x\right)}^3}}{x^2} \,d x","Not used",0,"int(f^(c*(a + b*x)^3)/x^2, x)","F"
207,0,-1,263,0.000000,"\text{Not used}","int(f^(c*(a + b*x)^3)/x^3,x)","\int \frac{f^{c\,{\left(a+b\,x\right)}^3}}{x^3} \,d x","Not used",0,"int(f^(c*(a + b*x)^3)/x^3, x)","F"
208,0,-1,183,0.000000,"\text{Not used}","int(x^4*exp(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x),x)","\int x^4\,{\mathrm{e}}^{a^3+3\,a^2\,b\,x+3\,a\,b^2\,x^2+b^3\,x^3} \,d x","Not used",1,"int(x^4*exp(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x), x)","F"
209,0,-1,138,0.000000,"\text{Not used}","int(x^3*exp(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x),x)","\int x^3\,{\mathrm{e}}^{a^3+3\,a^2\,b\,x+3\,a\,b^2\,x^2+b^3\,x^3} \,d x","Not used",1,"int(x^3*exp(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x), x)","F"
210,0,-1,99,0.000000,"\text{Not used}","int(x^2*exp(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x),x)","\int x^2\,{\mathrm{e}}^{a^3+3\,a^2\,b\,x+3\,a\,b^2\,x^2+b^3\,x^3} \,d x","Not used",1,"int(x^2*exp(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x), x)","F"
211,0,-1,80,0.000000,"\text{Not used}","int(x*exp(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x),x)","\int x\,{\mathrm{e}}^{a^3+3\,a^2\,b\,x+3\,a\,b^2\,x^2+b^3\,x^3} \,d x","Not used",1,"int(x*exp(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x), x)","F"
212,0,-1,38,0.000000,"\text{Not used}","int(exp(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x),x)","\int {\mathrm{e}}^{a^3+3\,a^2\,b\,x+3\,a\,b^2\,x^2+b^3\,x^3} \,d x","Not used",1,"int(exp(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x), x)","F"
213,0,-1,36,0.000000,"\text{Not used}","int(exp(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x)/x,x)","\int \frac{{\mathrm{e}}^{a^3+3\,a^2\,b\,x+3\,a\,b^2\,x^2+b^3\,x^3}}{x} \,d x","Not used",0,"int(exp(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x)/x, x)","F"
214,0,-1,36,0.000000,"\text{Not used}","int(x^m*exp(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x),x)","\int x^m\,{\mathrm{e}}^{a^3+3\,a^2\,b\,x+3\,a\,b^2\,x^2+b^3\,x^3} \,d x","Not used",0,"int(x^m*exp(a^3 + b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x), x)","F"
215,1,19,40,0.093945,"\text{Not used}","int(exp((3*x + 5)^(1/2)),x)","\frac{2\,{\mathrm{e}}^{\sqrt{3\,x+5}}\,\left(\sqrt{3\,x+5}-1\right)}{3}","Not used",1,"(2*exp((3*x + 5)^(1/2))*((3*x + 5)^(1/2) - 1))/3","B"
216,0,-1,291,0.000000,"\text{Not used}","int(f^(c/(a + b*x))*x^4,x)","\int f^{\frac{c}{a+b\,x}}\,x^4 \,d x","Not used",1,"int(f^(c/(a + b*x))*x^4, x)","F"
217,0,-1,269,0.000000,"\text{Not used}","int(f^(c/(a + b*x))*x^3,x)","\int f^{\frac{c}{a+b\,x}}\,x^3 \,d x","Not used",1,"int(f^(c/(a + b*x))*x^3, x)","F"
218,1,209,229,3.926757,"\text{Not used}","int(f^(c/(a + b*x))*x^2,x)","\frac{\frac{b\,f^{\frac{c}{a+b\,x}}\,x^4}{3}+f^{\frac{c}{a+b\,x}}\,x^3\,\left(\frac{a}{3}+\frac{c\,\ln\left(f\right)}{6}\right)+\frac{f^{\frac{c}{a+b\,x}}\,x\,\left(2\,a^3-9\,a^2\,c\,\ln\left(f\right)+2\,a\,c^2\,{\ln\left(f\right)}^2\right)}{6\,b^2}+\frac{f^{\frac{c}{a+b\,x}}\,x^2\,\left(c^2\,{\ln\left(f\right)}^2-3\,a\,c\,\ln\left(f\right)\right)}{6\,b}+\frac{a^2\,f^{\frac{c}{a+b\,x}}\,\left(2\,a^2-5\,a\,c\,\ln\left(f\right)+c^2\,{\ln\left(f\right)}^2\right)}{6\,b^3}}{a+b\,x}-\frac{\mathrm{ei}\left(\frac{c\,\ln\left(f\right)}{a+b\,x}\right)\,\left(6\,a^2\,c\,\ln\left(f\right)-6\,a\,c^2\,{\ln\left(f\right)}^2+c^3\,{\ln\left(f\right)}^3\right)}{6\,b^3}","Not used",1,"((b*f^(c/(a + b*x))*x^4)/3 + f^(c/(a + b*x))*x^3*(a/3 + (c*log(f))/6) + (f^(c/(a + b*x))*x*(2*a^3 - 9*a^2*c*log(f) + 2*a*c^2*log(f)^2))/(6*b^2) + (f^(c/(a + b*x))*x^2*(c^2*log(f)^2 - 3*a*c*log(f)))/(6*b) + (a^2*f^(c/(a + b*x))*(c^2*log(f)^2 + 2*a^2 - 5*a*c*log(f)))/(6*b^3))/(a + b*x) - (ei((c*log(f))/(a + b*x))*(c^3*log(f)^3 + 6*a^2*c*log(f) - 6*a*c^2*log(f)^2))/(6*b^3)","B"
219,1,136,120,3.647076,"\text{Not used}","int(f^(c/(a + b*x))*x,x)","\frac{\frac{b\,f^{\frac{c}{a+b\,x}}\,x^3}{2}+f^{\frac{c}{a+b\,x}}\,x^2\,\left(\frac{a}{2}+\frac{c\,\ln\left(f\right)}{2}\right)-\frac{a^2\,f^{\frac{c}{a+b\,x}}\,\left(a-c\,\ln\left(f\right)\right)}{2\,b^2}-\frac{f^{\frac{c}{a+b\,x}}\,x\,\left(a^2-2\,a\,c\,\ln\left(f\right)\right)}{2\,b}}{a+b\,x}-\frac{\mathrm{ei}\left(\frac{c\,\ln\left(f\right)}{a+b\,x}\right)\,\left(c^2\,{\ln\left(f\right)}^2-2\,a\,c\,\ln\left(f\right)\right)}{2\,b^2}","Not used",1,"((b*f^(c/(a + b*x))*x^3)/2 + f^(c/(a + b*x))*x^2*(a/2 + (c*log(f))/2) - (a^2*f^(c/(a + b*x))*(a - c*log(f)))/(2*b^2) - (f^(c/(a + b*x))*x*(a^2 - 2*a*c*log(f)))/(2*b))/(a + b*x) - (ei((c*log(f))/(a + b*x))*(c^2*log(f)^2 - 2*a*c*log(f)))/(2*b^2)","B"
220,1,50,41,3.548862,"\text{Not used}","int(f^(c/(a + b*x)),x)","f^{\frac{c}{a+b\,x}}\,x+\frac{a\,f^{\frac{c}{a+b\,x}}}{b}-\frac{c\,\mathrm{ei}\left(\frac{c\,\ln\left(f\right)}{a+b\,x}\right)\,\ln\left(f\right)}{b}","Not used",1,"f^(c/(a + b*x))*x + (a*f^(c/(a + b*x)))/b - (c*ei((c*log(f))/(a + b*x))*log(f))/b","B"
221,0,-1,41,0.000000,"\text{Not used}","int(f^(c/(a + b*x))/x,x)","\int \frac{f^{\frac{c}{a+b\,x}}}{x} \,d x","Not used",1,"int(f^(c/(a + b*x))/x, x)","F"
222,0,-1,68,0.000000,"\text{Not used}","int(f^(c/(a + b*x))/x^2,x)","\int \frac{f^{\frac{c}{a+b\,x}}}{x^2} \,d x","Not used",1,"int(f^(c/(a + b*x))/x^2, x)","F"
223,0,-1,166,0.000000,"\text{Not used}","int(f^(c/(a + b*x))/x^3,x)","\int \frac{f^{\frac{c}{a+b\,x}}}{x^3} \,d x","Not used",1,"int(f^(c/(a + b*x))/x^3, x)","F"
224,0,-1,415,0.000000,"\text{Not used}","int(f^(c/(a + b*x)^2)*x^4,x)","\int f^{\frac{c}{{\left(a+b\,x\right)}^2}}\,x^4 \,d x","Not used",1,"int(f^(c/(a + b*x)^2)*x^4, x)","F"
225,0,-1,291,0.000000,"\text{Not used}","int(f^(c/(a + b*x)^2)*x^3,x)","\int f^{\frac{c}{{\left(a+b\,x\right)}^2}}\,x^3 \,d x","Not used",1,"int(f^(c/(a + b*x)^2)*x^3, x)","F"
226,0,-1,206,0.000000,"\text{Not used}","int(f^(c/(a + b*x)^2)*x^2,x)","\int f^{\frac{c}{{\left(a+b\,x\right)}^2}}\,x^2 \,d x","Not used",1,"int(f^(c/(a + b*x)^2)*x^2, x)","F"
227,0,-1,111,0.000000,"\text{Not used}","int(f^(c/(a + b*x)^2)*x,x)","\int f^{\frac{c}{{\left(a+b\,x\right)}^2}}\,x \,d x","Not used",1,"int(f^(c/(a + b*x)^2)*x, x)","F"
228,1,53,62,3.640350,"\text{Not used}","int(f^(c/(a + b*x)^2),x)","\frac{f^{\frac{c}{{\left(a+b\,x\right)}^2}}\,\left(a+b\,x\right)}{b}-\frac{c\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{\sqrt{c\,\ln\left(f\right)}}{a+b\,x}\right)\,\ln\left(f\right)}{b\,\sqrt{c\,\ln\left(f\right)}}","Not used",1,"(f^(c/(a + b*x)^2)*(a + b*x))/b - (c*pi^(1/2)*erfi((c*log(f))^(1/2)/(a + b*x))*log(f))/(b*(c*log(f))^(1/2))","B"
229,0,-1,18,0.000000,"\text{Not used}","int(f^(c/(a + b*x)^2)/x,x)","\int \frac{f^{\frac{c}{{\left(a+b\,x\right)}^2}}}{x} \,d x","Not used",0,"int(f^(c/(a + b*x)^2)/x, x)","F"
230,0,-1,18,0.000000,"\text{Not used}","int(f^(c/(a + b*x)^2)/x^2,x)","\int \frac{f^{\frac{c}{{\left(a+b\,x\right)}^2}}}{x^2} \,d x","Not used",0,"int(f^(c/(a + b*x)^2)/x^2, x)","F"
231,0,-1,18,0.000000,"\text{Not used}","int(f^(c/(a + b*x)^2)/x^3,x)","\int \frac{f^{\frac{c}{{\left(a+b\,x\right)}^2}}}{x^3} \,d x","Not used",0,"int(f^(c/(a + b*x)^2)/x^3, x)","F"
232,0,-1,239,0.000000,"\text{Not used}","int(f^(c/(a + b*x)^3)*x^4,x)","\int f^{\frac{c}{{\left(a+b\,x\right)}^3}}\,x^4 \,d x","Not used",1,"int(f^(c/(a + b*x)^3)*x^4, x)","F"
233,0,-1,184,0.000000,"\text{Not used}","int(f^(c/(a + b*x)^3)*x^3,x)","\int f^{\frac{c}{{\left(a+b\,x\right)}^3}}\,x^3 \,d x","Not used",1,"int(f^(c/(a + b*x)^3)*x^3, x)","F"
234,0,-1,142,0.000000,"\text{Not used}","int(f^(c/(a + b*x)^3)*x^2,x)","\int f^{\frac{c}{{\left(a+b\,x\right)}^3}}\,x^2 \,d x","Not used",1,"int(f^(c/(a + b*x)^3)*x^2, x)","F"
235,0,-1,92,0.000000,"\text{Not used}","int(f^(c/(a + b*x)^3)*x,x)","\int f^{\frac{c}{{\left(a+b\,x\right)}^3}}\,x \,d x","Not used",1,"int(f^(c/(a + b*x)^3)*x, x)","F"
236,1,68,44,3.969578,"\text{Not used}","int(f^(c/(a + b*x)^3),x)","\frac{\left(a+b\,x\right)\,\left(\Gamma \left(\frac{2}{3}\right)\,{\left(-\frac{c\,\ln\left(f\right)}{{\left(a+b\,x\right)}^3}\right)}^{1/3}-\Gamma \left(\frac{2}{3},-\frac{c\,\ln\left(f\right)}{{\left(a+b\,x\right)}^3}\right)\,{\left(-\frac{c\,\ln\left(f\right)}{{\left(a+b\,x\right)}^3}\right)}^{1/3}+f^{\frac{c}{{\left(a+b\,x\right)}^3}}\right)}{b}","Not used",1,"((a + b*x)*(gamma(2/3)*(-(c*log(f))/(a + b*x)^3)^(1/3) - igamma(2/3, -(c*log(f))/(a + b*x)^3)*(-(c*log(f))/(a + b*x)^3)^(1/3) + f^(c/(a + b*x)^3)))/b","B"
237,0,-1,18,0.000000,"\text{Not used}","int(f^(c/(a + b*x)^3)/x,x)","\int \frac{f^{\frac{c}{{\left(a+b\,x\right)}^3}}}{x} \,d x","Not used",0,"int(f^(c/(a + b*x)^3)/x, x)","F"
238,0,-1,18,0.000000,"\text{Not used}","int(f^(c/(a + b*x)^3)/x^2,x)","\int \frac{f^{\frac{c}{{\left(a+b\,x\right)}^3}}}{x^2} \,d x","Not used",0,"int(f^(c/(a + b*x)^3)/x^2, x)","F"
239,0,-1,18,0.000000,"\text{Not used}","int(f^(c/(a + b*x)^3)/x^3,x)","\int \frac{f^{\frac{c}{{\left(a+b\,x\right)}^3}}}{x^3} \,d x","Not used",0,"int(f^(c/(a + b*x)^3)/x^3, x)","F"
240,0,-1,18,0.000000,"\text{Not used}","int(f^(c*(a + b*x)^3)*x^m,x)","\int f^{c\,{\left(a+b\,x\right)}^3}\,x^m \,d x","Not used",0,"int(f^(c*(a + b*x)^3)*x^m, x)","F"
241,0,-1,29,0.000000,"\text{Not used}","int(f^(c*(a + b*x)^2)*x^m,x)","\int f^{c\,{\left(a+b\,x\right)}^2}\,x^m \,d x","Not used",0,"int(f^(c*(a + b*x)^2)*x^m, x)","F"
242,1,41,41,3.503757,"\text{Not used}","int(f^(c*(a + b*x))*x^m,x)","\frac{f^{a\,c}\,x^m\,\Gamma \left(m+1,-b\,c\,x\,\ln\left(f\right)\right)}{b\,c\,\ln\left(f\right)\,{\left(-b\,c\,x\,\ln\left(f\right)\right)}^m}","Not used",1,"(f^(a*c)*x^m*igamma(m + 1, -b*c*x*log(f)))/(b*c*log(f)*(-b*c*x*log(f))^m)","B"
243,0,-1,18,0.000000,"\text{Not used}","int(f^(c/(a + b*x))*x^m,x)","\int f^{\frac{c}{a+b\,x}}\,x^m \,d x","Not used",0,"int(f^(c/(a + b*x))*x^m, x)","F"
244,0,-1,18,0.000000,"\text{Not used}","int(f^(c/(a + b*x)^2)*x^m,x)","\int f^{\frac{c}{{\left(a+b\,x\right)}^2}}\,x^m \,d x","Not used",0,"int(f^(c/(a + b*x)^2)*x^m, x)","F"
245,0,-1,18,0.000000,"\text{Not used}","int(f^(c/(a + b*x)^3)*x^m,x)","\int f^{\frac{c}{{\left(a+b\,x\right)}^3}}\,x^m \,d x","Not used",0,"int(f^(c/(a + b*x)^3)*x^m, x)","F"
246,0,-1,18,0.000000,"\text{Not used}","int(f^(c*(a + b*x)^n)*x^m,x)","\int f^{c\,{\left(a+b\,x\right)}^n}\,x^m \,d x","Not used",0,"int(f^(c*(a + b*x)^n)*x^m, x)","F"
247,0,-1,207,0.000000,"\text{Not used}","int(f^(c*(a + b*x)^n)*x^3,x)","\int f^{c\,{\left(a+b\,x\right)}^n}\,x^3 \,d x","Not used",1,"int(f^(c*(a + b*x)^n)*x^3, x)","F"
248,0,-1,154,0.000000,"\text{Not used}","int(f^(c*(a + b*x)^n)*x^2,x)","\int f^{c\,{\left(a+b\,x\right)}^n}\,x^2 \,d x","Not used",1,"int(f^(c*(a + b*x)^n)*x^2, x)","F"
249,0,-1,99,0.000000,"\text{Not used}","int(f^(c*(a + b*x)^n)*x,x)","\int f^{c\,{\left(a+b\,x\right)}^n}\,x \,d x","Not used",1,"int(f^(c*(a + b*x)^n)*x, x)","F"
250,0,-1,47,0.000000,"\text{Not used}","int(f^(c*(a + b*x)^n),x)","\int f^{c\,{\left(a+b\,x\right)}^n} \,d x","Not used",1,"int(f^(c*(a + b*x)^n), x)","F"
251,0,-1,18,0.000000,"\text{Not used}","int(f^(c*(a + b*x)^n)/x,x)","\int \frac{f^{c\,{\left(a+b\,x\right)}^n}}{x} \,d x","Not used",0,"int(f^(c*(a + b*x)^n)/x, x)","F"
252,0,-1,18,0.000000,"\text{Not used}","int(f^(c*(a + b*x)^n)/x^2,x)","\int \frac{f^{c\,{\left(a+b\,x\right)}^n}}{x^2} \,d x","Not used",0,"int(f^(c*(a + b*x)^n)/x^2, x)","F"
253,0,-1,18,0.000000,"\text{Not used}","int(f^(c*(a + b*x)^n)/x^3,x)","\int \frac{f^{c\,{\left(a+b\,x\right)}^n}}{x^3} \,d x","Not used",0,"int(f^(c*(a + b*x)^n)/x^3, x)","F"
254,1,75,61,3.805166,"\text{Not used}","int(F^(a + b*(c + d*x)^2)*(c + d*x)^m,x)","\frac{F^a\,{\mathrm{e}}^{\frac{b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^2}{2}}\,{\left(c+d\,x\right)}^{m+1}\,{\mathrm{M}}_{\frac{1}{4}-\frac{m}{4},\frac{m}{4}+\frac{1}{4}}\left(b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^2\right)}{d\,\left(m+1\right)\,{\left(b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^2\right)}^{\frac{m}{4}+\frac{3}{4}}}","Not used",1,"(F^a*exp((b*log(F)*(c + d*x)^2)/2)*(c + d*x)^(m + 1)*whittakerM(1/4 - m/4, m/4 + 1/4, b*log(F)*(c + d*x)^2))/(d*(m + 1)*(b*log(F)*(c + d*x)^2)^(m/4 + 3/4))","B"
255,1,553,105,4.149082,"\text{Not used}","int(F^(a + b*(c + d*x)^2)*(c + d*x)^11,x)","\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,\left(c^{10}+10\,c^9\,d\,x+45\,c^8\,d^2\,x^2+120\,c^7\,d^3\,x^3+210\,c^6\,d^4\,x^4+252\,c^5\,d^5\,x^5+210\,c^4\,d^6\,x^6+120\,c^3\,d^7\,x^7+45\,c^2\,d^8\,x^8+10\,c\,d^9\,x^9+d^{10}\,x^{10}\right)}{2\,b\,d\,\ln\left(F\right)}-\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,\left(5\,c^8+40\,c^7\,d\,x+140\,c^6\,d^2\,x^2+280\,c^5\,d^3\,x^3+350\,c^4\,d^4\,x^4+280\,c^3\,d^5\,x^5+140\,c^2\,d^6\,x^6+40\,c\,d^7\,x^7+5\,d^8\,x^8\right)}{2\,b^2\,d\,{\ln\left(F\right)}^2}-\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,\left(60\,c^4+240\,c^3\,d\,x+360\,c^2\,d^2\,x^2+240\,c\,d^3\,x^3+60\,d^4\,x^4\right)}{2\,b^4\,d\,{\ln\left(F\right)}^4}-\frac{60\,F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}}{b^6\,d\,{\ln\left(F\right)}^6}+\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,\left(20\,c^6+120\,c^5\,d\,x+300\,c^4\,d^2\,x^2+400\,c^3\,d^3\,x^3+300\,c^2\,d^4\,x^4+120\,c\,d^5\,x^5+20\,d^6\,x^6\right)}{2\,b^3\,d\,{\ln\left(F\right)}^3}+\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,\left(120\,c^2+240\,c\,d\,x+120\,d^2\,x^2\right)}{2\,b^5\,d\,{\ln\left(F\right)}^5}","Not used",1,"(F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*(c^10 + d^10*x^10 + 10*c*d^9*x^9 + 45*c^8*d^2*x^2 + 120*c^7*d^3*x^3 + 210*c^6*d^4*x^4 + 252*c^5*d^5*x^5 + 210*c^4*d^6*x^6 + 120*c^3*d^7*x^7 + 45*c^2*d^8*x^8 + 10*c^9*d*x))/(2*b*d*log(F)) - (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*(5*c^8 + 5*d^8*x^8 + 40*c*d^7*x^7 + 140*c^6*d^2*x^2 + 280*c^5*d^3*x^3 + 350*c^4*d^4*x^4 + 280*c^3*d^5*x^5 + 140*c^2*d^6*x^6 + 40*c^7*d*x))/(2*b^2*d*log(F)^2) - (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*(60*c^4 + 60*d^4*x^4 + 240*c*d^3*x^3 + 360*c^2*d^2*x^2 + 240*c^3*d*x))/(2*b^4*d*log(F)^4) - (60*F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x))/(b^6*d*log(F)^6) + (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*(20*c^6 + 20*d^6*x^6 + 120*c*d^5*x^5 + 300*c^4*d^2*x^2 + 400*c^3*d^3*x^3 + 300*c^2*d^4*x^4 + 120*c^5*d*x))/(2*b^3*d*log(F)^3) + (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*(120*c^2 + 120*d^2*x^2 + 240*c*d*x))/(2*b^5*d*log(F)^5)","B"
256,1,391,88,3.937238,"\text{Not used}","int(F^(a + b*(c + d*x)^2)*(c + d*x)^9,x)","\frac{12\,F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}-\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,b^3\,{\ln\left(F\right)}^3\,\left(4\,c^6+24\,c^5\,d\,x+60\,c^4\,d^2\,x^2+80\,c^3\,d^3\,x^3+60\,c^2\,d^4\,x^4+24\,c\,d^5\,x^5+4\,d^6\,x^6\right)}{2}+\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,b^4\,{\ln\left(F\right)}^4\,\left(c^8+8\,c^7\,d\,x+28\,c^6\,d^2\,x^2+56\,c^5\,d^3\,x^3+70\,c^4\,d^4\,x^4+56\,c^3\,d^5\,x^5+28\,c^2\,d^6\,x^6+8\,c\,d^7\,x^7+d^8\,x^8\right)}{2}-\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,b\,\ln\left(F\right)\,\left(24\,c^2+48\,c\,d\,x+24\,d^2\,x^2\right)}{2}+\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,b^2\,{\ln\left(F\right)}^2\,\left(12\,c^4+48\,c^3\,d\,x+72\,c^2\,d^2\,x^2+48\,c\,d^3\,x^3+12\,d^4\,x^4\right)}{2}}{b^5\,d\,{\ln\left(F\right)}^5}","Not used",1,"(12*F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x) - (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*b^3*log(F)^3*(4*c^6 + 4*d^6*x^6 + 24*c*d^5*x^5 + 60*c^4*d^2*x^2 + 80*c^3*d^3*x^3 + 60*c^2*d^4*x^4 + 24*c^5*d*x))/2 + (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*b^4*log(F)^4*(c^8 + d^8*x^8 + 8*c*d^7*x^7 + 28*c^6*d^2*x^2 + 56*c^5*d^3*x^3 + 70*c^4*d^4*x^4 + 56*c^3*d^5*x^5 + 28*c^2*d^6*x^6 + 8*c^7*d*x))/2 - (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*b*log(F)*(24*c^2 + 24*d^2*x^2 + 48*c*d*x))/2 + (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*b^2*log(F)^2*(12*c^4 + 12*d^4*x^4 + 48*c*d^3*x^3 + 72*c^2*d^2*x^2 + 48*c^3*d*x))/2)/(b^5*d*log(F)^5)","B"
257,1,253,126,3.824799,"\text{Not used}","int(F^(a + b*(c + d*x)^2)*(c + d*x)^7,x)","\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,\left(b^3\,c^6\,{\ln\left(F\right)}^3+6\,b^3\,c^5\,d\,x\,{\ln\left(F\right)}^3+15\,b^3\,c^4\,d^2\,x^2\,{\ln\left(F\right)}^3+20\,b^3\,c^3\,d^3\,x^3\,{\ln\left(F\right)}^3+15\,b^3\,c^2\,d^4\,x^4\,{\ln\left(F\right)}^3+6\,b^3\,c\,d^5\,x^5\,{\ln\left(F\right)}^3+b^3\,d^6\,x^6\,{\ln\left(F\right)}^3-3\,b^2\,c^4\,{\ln\left(F\right)}^2-12\,b^2\,c^3\,d\,x\,{\ln\left(F\right)}^2-18\,b^2\,c^2\,d^2\,x^2\,{\ln\left(F\right)}^2-12\,b^2\,c\,d^3\,x^3\,{\ln\left(F\right)}^2-3\,b^2\,d^4\,x^4\,{\ln\left(F\right)}^2+6\,b\,c^2\,\ln\left(F\right)+12\,b\,c\,d\,x\,\ln\left(F\right)+6\,b\,d^2\,x^2\,\ln\left(F\right)-6\right)}{2\,b^4\,d\,{\ln\left(F\right)}^4}","Not used",1,"(F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*(6*b*c^2*log(F) - 3*b^2*c^4*log(F)^2 + b^3*c^6*log(F)^3 + 6*b*d^2*x^2*log(F) - 3*b^2*d^4*x^4*log(F)^2 + b^3*d^6*x^6*log(F)^3 - 12*b^2*c*d^3*x^3*log(F)^2 + 6*b^3*c*d^5*x^5*log(F)^3 - 18*b^2*c^2*d^2*x^2*log(F)^2 + 15*b^3*c^4*d^2*x^2*log(F)^3 + 20*b^3*c^3*d^3*x^3*log(F)^3 + 15*b^3*c^2*d^4*x^4*log(F)^3 + 12*b*c*d*x*log(F) - 12*b^2*c^3*d*x*log(F)^2 + 6*b^3*c^5*d*x*log(F)^3 - 6))/(2*b^4*d*log(F)^4)","B"
258,1,142,91,3.661240,"\text{Not used}","int(F^(a + b*(c + d*x)^2)*(c + d*x)^5,x)","\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,\left(b^2\,c^4\,{\ln\left(F\right)}^2+4\,b^2\,c^3\,d\,x\,{\ln\left(F\right)}^2+6\,b^2\,c^2\,d^2\,x^2\,{\ln\left(F\right)}^2+4\,b^2\,c\,d^3\,x^3\,{\ln\left(F\right)}^2+b^2\,d^4\,x^4\,{\ln\left(F\right)}^2-2\,b\,c^2\,\ln\left(F\right)-4\,b\,c\,d\,x\,\ln\left(F\right)-2\,b\,d^2\,x^2\,\ln\left(F\right)+2\right)}{2\,b^3\,d\,{\ln\left(F\right)}^3}","Not used",1,"(F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*(b^2*c^4*log(F)^2 - 2*b*c^2*log(F) - 2*b*d^2*x^2*log(F) + b^2*d^4*x^4*log(F)^2 + 4*b^2*c*d^3*x^3*log(F)^2 + 6*b^2*c^2*d^2*x^2*log(F)^2 - 4*b*c*d*x*log(F) + 4*b^2*c^3*d*x*log(F)^2 + 2))/(2*b^3*d*log(F)^3)","B"
259,1,67,62,3.546282,"\text{Not used}","int(F^(a + b*(c + d*x)^2)*(c + d*x)^3,x)","\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,\left(b\,\ln\left(F\right)\,c^2+2\,b\,\ln\left(F\right)\,c\,d\,x+b\,\ln\left(F\right)\,d^2\,x^2-1\right)}{2\,b^2\,d\,{\ln\left(F\right)}^2}","Not used",1,"(F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*(b*c^2*log(F) + b*d^2*x^2*log(F) + 2*b*c*d*x*log(F) - 1))/(2*b^2*d*log(F)^2)","B"
260,1,25,27,3.521121,"\text{Not used}","int(F^(a + b*(c + d*x)^2)*(c + d*x),x)","\frac{F^{a+b\,{\left(c+d\,x\right)}^2}}{2\,b\,d\,\ln\left(F\right)}","Not used",1,"F^(a + b*(c + d*x)^2)/(2*b*d*log(F))","B"
261,1,20,22,3.678310,"\text{Not used}","int(F^(a + b*(c + d*x)^2)/(c + d*x),x)","\frac{F^a\,\mathrm{ei}\left(b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^2\right)}{2\,d}","Not used",1,"(F^a*ei(b*log(F)*(c + d*x)^2))/(2*d)","B"
262,1,51,53,4.681991,"\text{Not used}","int(F^(a + b*(c + d*x)^2)/(c + d*x)^3,x)","-\frac{F^a\,\left(F^{b\,{\left(c+d\,x\right)}^2}+b\,\ln\left(F\right)\,\mathrm{expint}\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^2\right)\,{\left(c+d\,x\right)}^2\right)}{2\,d\,{\left(c+d\,x\right)}^2}","Not used",1,"-(F^a*(F^(b*(c + d*x)^2) + b*log(F)*expint(-b*log(F)*(c + d*x)^2)*(c + d*x)^2))/(2*d*(c + d*x)^2)","B"
263,1,76,87,5.756957,"\text{Not used}","int(F^(a + b*(c + d*x)^2)/(c + d*x)^5,x)","-\frac{F^a\,b^2\,{\ln\left(F\right)}^2\,\left(\frac{\mathrm{expint}\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^2\right)}{2}+F^{b\,{\left(c+d\,x\right)}^2}\,\left(\frac{1}{2\,b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^2}+\frac{1}{2\,b^2\,{\ln\left(F\right)}^2\,{\left(c+d\,x\right)}^4}\right)\right)}{2\,d}","Not used",1,"-(F^a*b^2*log(F)^2*(expint(-b*log(F)*(c + d*x)^2)/2 + F^(b*(c + d*x)^2)*(1/(2*b*log(F)*(c + d*x)^2) + 1/(2*b^2*log(F)^2*(c + d*x)^4))))/(2*d)","B"
264,1,104,121,3.817297,"\text{Not used}","int(F^(a + b*(c + d*x)^2)/(c + d*x)^7,x)","-\frac{F^a\,b^3\,{\ln\left(F\right)}^3\,\mathrm{expint}\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^2\right)}{12\,d}-\frac{F^a\,F^{b\,{\left(c+d\,x\right)}^2}\,b^3\,{\ln\left(F\right)}^3\,\left(\frac{1}{6\,b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^2}+\frac{1}{6\,b^2\,{\ln\left(F\right)}^2\,{\left(c+d\,x\right)}^4}+\frac{1}{3\,b^3\,{\ln\left(F\right)}^3\,{\left(c+d\,x\right)}^6}\right)}{2\,d}","Not used",1,"- (F^a*b^3*log(F)^3*expint(-b*log(F)*(c + d*x)^2))/(12*d) - (F^a*F^(b*(c + d*x)^2)*b^3*log(F)^3*(1/(6*b*log(F)*(c + d*x)^2) + 1/(6*b^2*log(F)^2*(c + d*x)^4) + 1/(3*b^3*log(F)^3*(c + d*x)^6)))/(2*d)","B"
265,1,120,31,3.814087,"\text{Not used}","int(F^(a + b*(c + d*x)^2)/(c + d*x)^9,x)","-\frac{F^a\,b^4\,{\ln\left(F\right)}^4\,\mathrm{expint}\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^2\right)}{48\,d}-\frac{F^a\,F^{b\,{\left(c+d\,x\right)}^2}\,b^4\,{\ln\left(F\right)}^4\,\left(\frac{1}{24\,b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^2}+\frac{1}{24\,b^2\,{\ln\left(F\right)}^2\,{\left(c+d\,x\right)}^4}+\frac{1}{12\,b^3\,{\ln\left(F\right)}^3\,{\left(c+d\,x\right)}^6}+\frac{1}{4\,b^4\,{\ln\left(F\right)}^4\,{\left(c+d\,x\right)}^8}\right)}{2\,d}","Not used",1,"- (F^a*b^4*log(F)^4*expint(-b*log(F)*(c + d*x)^2))/(48*d) - (F^a*F^(b*(c + d*x)^2)*b^4*log(F)^4*(1/(24*b*log(F)*(c + d*x)^2) + 1/(24*b^2*log(F)^2*(c + d*x)^4) + 1/(12*b^3*log(F)^3*(c + d*x)^6) + 1/(4*b^4*log(F)^4*(c + d*x)^8)))/(2*d)","B"
266,1,136,31,3.905305,"\text{Not used}","int(F^(a + b*(c + d*x)^2)/(c + d*x)^11,x)","-\frac{F^a\,b^5\,{\ln\left(F\right)}^5\,\mathrm{expint}\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^2\right)}{240\,d}-\frac{F^a\,F^{b\,{\left(c+d\,x\right)}^2}\,b^5\,{\ln\left(F\right)}^5\,\left(\frac{1}{120\,b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^2}+\frac{1}{120\,b^2\,{\ln\left(F\right)}^2\,{\left(c+d\,x\right)}^4}+\frac{1}{60\,b^3\,{\ln\left(F\right)}^3\,{\left(c+d\,x\right)}^6}+\frac{1}{20\,b^4\,{\ln\left(F\right)}^4\,{\left(c+d\,x\right)}^8}+\frac{1}{5\,b^5\,{\ln\left(F\right)}^5\,{\left(c+d\,x\right)}^{10}}\right)}{2\,d}","Not used",1,"- (F^a*b^5*log(F)^5*expint(-b*log(F)*(c + d*x)^2))/(240*d) - (F^a*F^(b*(c + d*x)^2)*b^5*log(F)^5*(1/(120*b*log(F)*(c + d*x)^2) + 1/(120*b^2*log(F)^2*(c + d*x)^4) + 1/(60*b^3*log(F)^3*(c + d*x)^6) + 1/(20*b^4*log(F)^4*(c + d*x)^8) + 1/(5*b^5*log(F)^5*(c + d*x)^10)))/(2*d)","B"
267,1,209,49,4.024336,"\text{Not used}","int(F^(a + b*(c + d*x)^2)*(c + d*x)^12,x)","\frac{\frac{F^a\,\left(\frac{10395\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,\ln\left(F\right)\,\left(c+d\,x\right)}{\sqrt{b\,\ln\left(F\right)}}\right)}{128}-\frac{10395\,F^{b\,{\left(c+d\,x\right)}^2}\,\sqrt{b\,\ln\left(F\right)}\,\left(c+d\,x\right)}{64}\right)}{\sqrt{b\,\ln\left(F\right)}}-\frac{693\,F^{a+b\,{\left(c+d\,x\right)}^2}\,b^2\,{\ln\left(F\right)}^2\,{\left(c+d\,x\right)}^5}{16}+\frac{99\,F^{a+b\,{\left(c+d\,x\right)}^2}\,b^3\,{\ln\left(F\right)}^3\,{\left(c+d\,x\right)}^7}{8}-\frac{11\,F^{a+b\,{\left(c+d\,x\right)}^2}\,b^4\,{\ln\left(F\right)}^4\,{\left(c+d\,x\right)}^9}{4}+\frac{F^{a+b\,{\left(c+d\,x\right)}^2}\,b^5\,{\ln\left(F\right)}^5\,{\left(c+d\,x\right)}^{11}}{2}+\frac{3465\,F^{a+b\,{\left(c+d\,x\right)}^2}\,b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3}{32}}{b^6\,d\,{\ln\left(F\right)}^6}","Not used",1,"((F^a*((10395*pi^(1/2)*erfi((b*log(F)*(c + d*x))/(b*log(F))^(1/2)))/128 - (10395*F^(b*(c + d*x)^2)*(b*log(F))^(1/2)*(c + d*x))/64))/(b*log(F))^(1/2) - (693*F^(a + b*(c + d*x)^2)*b^2*log(F)^2*(c + d*x)^5)/16 + (99*F^(a + b*(c + d*x)^2)*b^3*log(F)^3*(c + d*x)^7)/8 - (11*F^(a + b*(c + d*x)^2)*b^4*log(F)^4*(c + d*x)^9)/4 + (F^(a + b*(c + d*x)^2)*b^5*log(F)^5*(c + d*x)^11)/2 + (3465*F^(a + b*(c + d*x)^2)*b*log(F)*(c + d*x)^3)/32)/(b^6*d*log(F)^6)","B"
268,1,730,49,4.129989,"\text{Not used}","int(F^(a + b*(c + d*x)^2)*(c + d*x)^10,x)","\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,\left(\frac{b^4\,c^9\,{\ln\left(F\right)}^4}{2}-\frac{9\,b^3\,c^7\,{\ln\left(F\right)}^3}{4}+\frac{63\,b^2\,c^5\,{\ln\left(F\right)}^2}{8}-\frac{315\,b\,c^3\,\ln\left(F\right)}{16}+\frac{945\,c}{32}\right)}{b^5\,d\,{\ln\left(F\right)}^5}-\frac{945\,F^a\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,x\,\ln\left(F\right)\,d^2+b\,c\,\ln\left(F\right)\,d}{\sqrt{b\,d^2\,\ln\left(F\right)}}\right)}{64\,b^5\,{\ln\left(F\right)}^5\,\sqrt{b\,d^2\,\ln\left(F\right)}}+\frac{63\,F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,x^4\,\left(8\,b^2\,c^5\,d^3\,{\ln\left(F\right)}^2-10\,b\,c^3\,d^3\,\ln\left(F\right)+5\,c\,d^3\right)}{8\,b^3\,{\ln\left(F\right)}^3}+\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,d^8\,x^9}{2\,b\,\ln\left(F\right)}-\frac{9\,F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,x^2\,\left(-32\,d\,b^3\,c^7\,{\ln\left(F\right)}^3+84\,d\,b^2\,c^5\,{\ln\left(F\right)}^2-140\,d\,b\,c^3\,\ln\left(F\right)+105\,d\,c\right)}{16\,b^4\,{\ln\left(F\right)}^4}+\frac{63\,F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,x^5\,\left(8\,b^2\,c^4\,d^4\,{\ln\left(F\right)}^2-6\,b\,c^2\,d^4\,\ln\left(F\right)+d^4\right)}{8\,b^3\,{\ln\left(F\right)}^3}-\frac{21\,F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,x^6\,\left(3\,c\,d^5-8\,b\,c^3\,d^5\,\ln\left(F\right)\right)}{4\,b^2\,{\ln\left(F\right)}^2}-\frac{21\,F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,x^3\,\left(-32\,b^3\,c^6\,d^2\,{\ln\left(F\right)}^3+60\,b^2\,c^4\,d^2\,{\ln\left(F\right)}^2-60\,b\,c^2\,d^2\,\ln\left(F\right)+15\,d^2\right)}{16\,b^4\,{\ln\left(F\right)}^4}+\frac{9\,F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,x\,\left(16\,b^4\,c^8\,{\ln\left(F\right)}^4-56\,b^3\,c^6\,{\ln\left(F\right)}^3+140\,b^2\,c^4\,{\ln\left(F\right)}^2-210\,b\,c^2\,\ln\left(F\right)+105\right)}{32\,b^5\,{\ln\left(F\right)}^5}+\frac{9\,F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,c\,d^7\,x^8}{2\,b\,\ln\left(F\right)}+\frac{9\,F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,d^6\,x^7\,\left(8\,b\,c^2\,\ln\left(F\right)-1\right)}{4\,b^2\,{\ln\left(F\right)}^2}","Not used",1,"(F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*((945*c)/32 - (315*b*c^3*log(F))/16 + (63*b^2*c^5*log(F)^2)/8 - (9*b^3*c^7*log(F)^3)/4 + (b^4*c^9*log(F)^4)/2))/(b^5*d*log(F)^5) - (945*F^a*pi^(1/2)*erfi((b*c*d*log(F) + b*d^2*x*log(F))/(b*d^2*log(F))^(1/2)))/(64*b^5*log(F)^5*(b*d^2*log(F))^(1/2)) + (63*F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*x^4*(5*c*d^3 + 8*b^2*c^5*d^3*log(F)^2 - 10*b*c^3*d^3*log(F)))/(8*b^3*log(F)^3) + (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*d^8*x^9)/(2*b*log(F)) - (9*F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*x^2*(105*c*d + 84*b^2*c^5*d*log(F)^2 - 32*b^3*c^7*d*log(F)^3 - 140*b*c^3*d*log(F)))/(16*b^4*log(F)^4) + (63*F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*x^5*(d^4 + 8*b^2*c^4*d^4*log(F)^2 - 6*b*c^2*d^4*log(F)))/(8*b^3*log(F)^3) - (21*F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*x^6*(3*c*d^5 - 8*b*c^3*d^5*log(F)))/(4*b^2*log(F)^2) - (21*F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*x^3*(15*d^2 + 60*b^2*c^4*d^2*log(F)^2 - 32*b^3*c^6*d^2*log(F)^3 - 60*b*c^2*d^2*log(F)))/(16*b^4*log(F)^4) + (9*F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*x*(140*b^2*c^4*log(F)^2 - 210*b*c^2*log(F) - 56*b^3*c^6*log(F)^3 + 16*b^4*c^8*log(F)^4 + 105))/(32*b^5*log(F)^5) + (9*F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*c*d^7*x^8)/(2*b*log(F)) + (9*F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*d^6*x^7*(8*b*c^2*log(F) - 1))/(4*b^2*log(F)^2)","B"
269,1,533,179,3.911408,"\text{Not used}","int(F^(a + b*(c + d*x)^2)*(c + d*x)^8,x)","\frac{105\,F^a\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,x\,\ln\left(F\right)\,d^2+b\,c\,\ln\left(F\right)\,d}{\sqrt{b\,d^2\,\ln\left(F\right)}}\right)}{32\,b^4\,{\ln\left(F\right)}^4\,\sqrt{b\,d^2\,\ln\left(F\right)}}+\frac{7\,F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,x\,\left(8\,b^3\,c^6\,{\ln\left(F\right)}^3-20\,b^2\,c^4\,{\ln\left(F\right)}^2+30\,b\,c^2\,\ln\left(F\right)-15\right)}{16\,b^4\,{\ln\left(F\right)}^4}-\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,\left(-\frac{b^3\,c^7\,{\ln\left(F\right)}^3}{2}+\frac{7\,b^2\,c^5\,{\ln\left(F\right)}^2}{4}-\frac{35\,b\,c^3\,\ln\left(F\right)}{8}+\frac{105\,c}{16}\right)}{b^4\,d\,{\ln\left(F\right)}^4}+\frac{7\,F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,x^2\,\left(12\,d\,b^2\,c^5\,{\ln\left(F\right)}^2-20\,d\,b\,c^3\,\ln\left(F\right)+15\,d\,c\right)}{8\,b^3\,{\ln\left(F\right)}^3}+\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,d^6\,x^7}{2\,b\,\ln\left(F\right)}+\frac{35\,F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,x^3\,\left(4\,b^2\,c^4\,d^2\,{\ln\left(F\right)}^2-4\,b\,c^2\,d^2\,\ln\left(F\right)+d^2\right)}{8\,b^3\,{\ln\left(F\right)}^3}-\frac{35\,F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,x^4\,\left(c\,d^3-2\,b\,c^3\,d^3\,\ln\left(F\right)\right)}{4\,b^2\,{\ln\left(F\right)}^2}+\frac{7\,F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,c\,d^5\,x^6}{2\,b\,\ln\left(F\right)}+\frac{7\,F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,d^4\,x^5\,\left(6\,b\,c^2\,\ln\left(F\right)-1\right)}{4\,b^2\,{\ln\left(F\right)}^2}","Not used",1,"(105*F^a*pi^(1/2)*erfi((b*c*d*log(F) + b*d^2*x*log(F))/(b*d^2*log(F))^(1/2)))/(32*b^4*log(F)^4*(b*d^2*log(F))^(1/2)) + (7*F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*x*(30*b*c^2*log(F) - 20*b^2*c^4*log(F)^2 + 8*b^3*c^6*log(F)^3 - 15))/(16*b^4*log(F)^4) - (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*((105*c)/16 - (35*b*c^3*log(F))/8 + (7*b^2*c^5*log(F)^2)/4 - (b^3*c^7*log(F)^3)/2))/(b^4*d*log(F)^4) + (7*F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*x^2*(15*c*d + 12*b^2*c^5*d*log(F)^2 - 20*b*c^3*d*log(F)))/(8*b^3*log(F)^3) + (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*d^6*x^7)/(2*b*log(F)) + (35*F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*x^3*(d^2 + 4*b^2*c^4*d^2*log(F)^2 - 4*b*c^2*d^2*log(F)))/(8*b^3*log(F)^3) - (35*F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*x^4*(c*d^3 - 2*b*c^3*d^3*log(F)))/(4*b^2*log(F)^2) + (7*F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*c*d^5*x^6)/(2*b*log(F)) + (7*F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*d^4*x^5*(6*b*c^2*log(F) - 1))/(4*b^2*log(F)^2)","B"
270,1,378,145,3.771534,"\text{Not used}","int(F^(a + b*(c + d*x)^2)*(c + d*x)^6,x)","F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,\left(\frac{15\,c}{8\,b^3\,d\,{\ln\left(F\right)}^3}+\frac{c^5}{2\,b\,d\,\ln\left(F\right)}-\frac{5\,c^3}{4\,b^2\,d\,{\ln\left(F\right)}^2}\right)-\frac{15\,F^a\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,x\,\ln\left(F\right)\,d^2+b\,c\,\ln\left(F\right)\,d}{\sqrt{b\,d^2\,\ln\left(F\right)}}\right)}{16\,b^3\,{\ln\left(F\right)}^3\,\sqrt{b\,d^2\,\ln\left(F\right)}}-\frac{5\,F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,x^2\,\left(3\,c\,d-4\,b\,c^3\,d\,\ln\left(F\right)\right)}{4\,b^2\,{\ln\left(F\right)}^2}+\frac{5\,F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,x\,\left(4\,b^2\,c^4\,{\ln\left(F\right)}^2-6\,b\,c^2\,\ln\left(F\right)+3\right)}{8\,b^3\,{\ln\left(F\right)}^3}+\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,d^4\,x^5}{2\,b\,\ln\left(F\right)}+\frac{5\,F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,c\,d^3\,x^4}{2\,b\,\ln\left(F\right)}+\frac{5\,F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,d^2\,x^3\,\left(4\,b\,c^2\,\ln\left(F\right)-1\right)}{4\,b^2\,{\ln\left(F\right)}^2}","Not used",1,"F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*((15*c)/(8*b^3*d*log(F)^3) + c^5/(2*b*d*log(F)) - (5*c^3)/(4*b^2*d*log(F)^2)) - (15*F^a*pi^(1/2)*erfi((b*c*d*log(F) + b*d^2*x*log(F))/(b*d^2*log(F))^(1/2)))/(16*b^3*log(F)^3*(b*d^2*log(F))^(1/2)) - (5*F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*x^2*(3*c*d - 4*b*c^3*d*log(F)))/(4*b^2*log(F)^2) + (5*F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*x*(4*b^2*c^4*log(F)^2 - 6*b*c^2*log(F) + 3))/(8*b^3*log(F)^3) + (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*d^4*x^5)/(2*b*log(F)) + (5*F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*c*d^3*x^4)/(2*b*log(F)) + (5*F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*d^2*x^3*(4*b*c^2*log(F) - 1))/(4*b^2*log(F)^2)","B"
271,1,243,111,3.595989,"\text{Not used}","int(F^(a + b*(c + d*x)^2)*(c + d*x)^4,x)","\frac{3\,F^a\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,x\,\ln\left(F\right)\,d^2+b\,c\,\ln\left(F\right)\,d}{\sqrt{b\,d^2\,\ln\left(F\right)}}\right)}{8\,b^2\,{\ln\left(F\right)}^2\,\sqrt{b\,d^2\,\ln\left(F\right)}}-F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,\left(\frac{3\,c}{4\,b^2\,d\,{\ln\left(F\right)}^2}-\frac{c^3}{2\,b\,d\,\ln\left(F\right)}\right)+\frac{3\,F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,x\,\left(2\,b\,c^2\,\ln\left(F\right)-1\right)}{4\,b^2\,{\ln\left(F\right)}^2}+\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,d^2\,x^3}{2\,b\,\ln\left(F\right)}+\frac{3\,F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,c\,d\,x^2}{2\,b\,\ln\left(F\right)}","Not used",1,"(3*F^a*pi^(1/2)*erfi((b*c*d*log(F) + b*d^2*x*log(F))/(b*d^2*log(F))^(1/2)))/(8*b^2*log(F)^2*(b*d^2*log(F))^(1/2)) - F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*((3*c)/(4*b^2*d*log(F)^2) - c^3/(2*b*d*log(F))) + (3*F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*x*(2*b*c^2*log(F) - 1))/(4*b^2*log(F)^2) + (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*d^2*x^3)/(2*b*log(F)) + (3*F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*c*d*x^2)/(2*b*log(F))","B"
272,1,130,77,3.588163,"\text{Not used}","int(F^(a + b*(c + d*x)^2)*(c + d*x)^2,x)","\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,x}{2\,b\,\ln\left(F\right)}-\frac{F^a\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,x\,\ln\left(F\right)\,d^2+b\,c\,\ln\left(F\right)\,d}{\sqrt{b\,d^2\,\ln\left(F\right)}}\right)}{4\,b\,\ln\left(F\right)\,\sqrt{b\,d^2\,\ln\left(F\right)}}+\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,c}{2\,b\,d\,\ln\left(F\right)}","Not used",1,"(F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*x)/(2*b*log(F)) - (F^a*pi^(1/2)*erfi((b*c*d*log(F) + b*d^2*x*log(F))/(b*d^2*log(F))^(1/2)))/(4*b*log(F)*(b*d^2*log(F))^(1/2)) + (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*c)/(2*b*d*log(F))","B"
273,1,48,44,0.039931,"\text{Not used}","int(F^(a + b*(c + d*x)^2),x)","-\frac{F^a\,\sqrt{\pi }\,\mathrm{erf}\left(\frac{1{}\mathrm{i}\,b\,x\,\ln\left(F\right)\,d^2+1{}\mathrm{i}\,b\,c\,\ln\left(F\right)\,d}{\sqrt{b\,d^2\,\ln\left(F\right)}}\right)\,1{}\mathrm{i}}{2\,\sqrt{b\,d^2\,\ln\left(F\right)}}","Not used",1,"-(F^a*pi^(1/2)*erf((b*c*d*log(F)*1i + b*d^2*x*log(F)*1i)/(b*d^2*log(F))^(1/2))*1i)/(2*(b*d^2*log(F))^(1/2))","B"
274,1,86,67,4.055317,"\text{Not used}","int(F^(a + b*(c + d*x)^2)/(c + d*x)^2,x)","\frac{F^a\,b\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,x\,\ln\left(F\right)\,d^2+b\,c\,\ln\left(F\right)\,d}{\sqrt{b\,d^2\,\ln\left(F\right)}}\right)\,\ln\left(F\right)}{\sqrt{b\,d^2\,\ln\left(F\right)}}-\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}}{d\,\left(c+d\,x\right)}","Not used",1,"(F^a*b*pi^(1/2)*erfi((b*c*d*log(F) + b*d^2*x*log(F))/(b*d^2*log(F))^(1/2))*log(F))/(b*d^2*log(F))^(1/2) - (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x))/(d*(c + d*x))","B"
275,1,201,102,5.026796,"\text{Not used}","int(F^(a + b*(c + d*x)^2)/(c + d*x)^4,x)","\frac{2\,F^a\,b^2\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,x\,\ln\left(F\right)\,d^2+b\,c\,\ln\left(F\right)\,d}{\sqrt{b\,d^2\,\ln\left(F\right)}}\right)\,{\ln\left(F\right)}^2}{3\,\sqrt{b\,d^2\,\ln\left(F\right)}}-\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,\left(\frac{1}{3\,d}+\frac{2\,b\,c^2\,\ln\left(F\right)}{3\,d}\right)+\frac{4\,F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,b\,c\,x\,\ln\left(F\right)}{3}+\frac{2\,F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,b\,d\,x^2\,\ln\left(F\right)}{3}}{c^3+3\,c^2\,d\,x+3\,c\,d^2\,x^2+d^3\,x^3}","Not used",1,"(2*F^a*b^2*pi^(1/2)*erfi((b*c*d*log(F) + b*d^2*x*log(F))/(b*d^2*log(F))^(1/2))*log(F)^2)/(3*(b*d^2*log(F))^(1/2)) - (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*(1/(3*d) + (2*b*c^2*log(F))/(3*d)) + (4*F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*b*c*x*log(F))/3 + (2*F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*b*d*x^2*log(F))/3)/(c^3 + d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x)","B"
276,1,168,136,4.868438,"\text{Not used}","int(F^(a + b*(c + d*x)^2)/(c + d*x)^6,x)","\frac{4\,F^a\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^2}\right)\,{\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^2\right)}^{5/2}}{15\,d\,{\left(c+d\,x\right)}^5}-\frac{4\,F^a\,\sqrt{\pi }\,{\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^2\right)}^{5/2}}{15\,d\,{\left(c+d\,x\right)}^5}-\frac{4\,F^a\,F^{b\,{\left(c+d\,x\right)}^2}\,b^2\,{\ln\left(F\right)}^2}{15\,d\,\left(c+d\,x\right)}-\frac{2\,F^a\,F^{b\,{\left(c+d\,x\right)}^2}\,b\,\ln\left(F\right)}{15\,d\,{\left(c+d\,x\right)}^3}-\frac{F^a\,F^{b\,{\left(c+d\,x\right)}^2}}{5\,d\,{\left(c+d\,x\right)}^5}","Not used",1,"(4*F^a*pi^(1/2)*erfc((-b*log(F)*(c + d*x)^2)^(1/2))*(-b*log(F)*(c + d*x)^2)^(5/2))/(15*d*(c + d*x)^5) - (4*F^a*pi^(1/2)*(-b*log(F)*(c + d*x)^2)^(5/2))/(15*d*(c + d*x)^5) - (4*F^a*F^(b*(c + d*x)^2)*b^2*log(F)^2)/(15*d*(c + d*x)) - (2*F^a*F^(b*(c + d*x)^2)*b*log(F))/(15*d*(c + d*x)^3) - (F^a*F^(b*(c + d*x)^2))/(5*d*(c + d*x)^5)","B"
277,1,201,170,4.128224,"\text{Not used}","int(F^(a + b*(c + d*x)^2)/(c + d*x)^8,x)","\frac{8\,F^a\,\sqrt{\pi }\,{\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^2\right)}^{7/2}}{105\,d\,{\left(c+d\,x\right)}^7}-\frac{F^a\,F^{b\,{\left(c+d\,x\right)}^2}}{7\,d\,{\left(c+d\,x\right)}^7}-\frac{4\,F^a\,F^{b\,{\left(c+d\,x\right)}^2}\,b^2\,{\ln\left(F\right)}^2}{105\,d\,{\left(c+d\,x\right)}^3}-\frac{8\,F^a\,F^{b\,{\left(c+d\,x\right)}^2}\,b^3\,{\ln\left(F\right)}^3}{105\,d\,\left(c+d\,x\right)}-\frac{2\,F^a\,F^{b\,{\left(c+d\,x\right)}^2}\,b\,\ln\left(F\right)}{35\,d\,{\left(c+d\,x\right)}^5}-\frac{8\,F^a\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^2}\right)\,{\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^2\right)}^{7/2}}{105\,d\,{\left(c+d\,x\right)}^7}","Not used",1,"(8*F^a*pi^(1/2)*(-b*log(F)*(c + d*x)^2)^(7/2))/(105*d*(c + d*x)^7) - (F^a*F^(b*(c + d*x)^2))/(7*d*(c + d*x)^7) - (4*F^a*F^(b*(c + d*x)^2)*b^2*log(F)^2)/(105*d*(c + d*x)^3) - (8*F^a*F^(b*(c + d*x)^2)*b^3*log(F)^3)/(105*d*(c + d*x)) - (2*F^a*F^(b*(c + d*x)^2)*b*log(F))/(35*d*(c + d*x)^5) - (8*F^a*pi^(1/2)*erfc((-b*log(F)*(c + d*x)^2)^(1/2))*(-b*log(F)*(c + d*x)^2)^(7/2))/(105*d*(c + d*x)^7)","B"
278,1,234,49,4.085553,"\text{Not used}","int(F^(a + b*(c + d*x)^2)/(c + d*x)^10,x)","\frac{16\,F^a\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^2}\right)\,{\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^2\right)}^{9/2}}{945\,d\,{\left(c+d\,x\right)}^9}-\frac{16\,F^a\,\sqrt{\pi }\,{\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^2\right)}^{9/2}}{945\,d\,{\left(c+d\,x\right)}^9}-\frac{4\,F^a\,F^{b\,{\left(c+d\,x\right)}^2}\,b^2\,{\ln\left(F\right)}^2}{315\,d\,{\left(c+d\,x\right)}^5}-\frac{8\,F^a\,F^{b\,{\left(c+d\,x\right)}^2}\,b^3\,{\ln\left(F\right)}^3}{945\,d\,{\left(c+d\,x\right)}^3}-\frac{16\,F^a\,F^{b\,{\left(c+d\,x\right)}^2}\,b^4\,{\ln\left(F\right)}^4}{945\,d\,\left(c+d\,x\right)}-\frac{2\,F^a\,F^{b\,{\left(c+d\,x\right)}^2}\,b\,\ln\left(F\right)}{63\,d\,{\left(c+d\,x\right)}^7}-\frac{F^a\,F^{b\,{\left(c+d\,x\right)}^2}}{9\,d\,{\left(c+d\,x\right)}^9}","Not used",1,"(16*F^a*pi^(1/2)*erfc((-b*log(F)*(c + d*x)^2)^(1/2))*(-b*log(F)*(c + d*x)^2)^(9/2))/(945*d*(c + d*x)^9) - (16*F^a*pi^(1/2)*(-b*log(F)*(c + d*x)^2)^(9/2))/(945*d*(c + d*x)^9) - (4*F^a*F^(b*(c + d*x)^2)*b^2*log(F)^2)/(315*d*(c + d*x)^5) - (8*F^a*F^(b*(c + d*x)^2)*b^3*log(F)^3)/(945*d*(c + d*x)^3) - (16*F^a*F^(b*(c + d*x)^2)*b^4*log(F)^4)/(945*d*(c + d*x)) - (2*F^a*F^(b*(c + d*x)^2)*b*log(F))/(63*d*(c + d*x)^7) - (F^a*F^(b*(c + d*x)^2))/(9*d*(c + d*x)^9)","B"
279,1,267,49,4.152982,"\text{Not used}","int(F^(a + b*(c + d*x)^2)/(c + d*x)^12,x)","\frac{32\,F^a\,\sqrt{\pi }\,{\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^2\right)}^{11/2}}{10395\,d\,{\left(c+d\,x\right)}^{11}}-\frac{F^a\,F^{b\,{\left(c+d\,x\right)}^2}}{11\,d\,{\left(c+d\,x\right)}^{11}}-\frac{4\,F^a\,F^{b\,{\left(c+d\,x\right)}^2}\,b^2\,{\ln\left(F\right)}^2}{693\,d\,{\left(c+d\,x\right)}^7}-\frac{8\,F^a\,F^{b\,{\left(c+d\,x\right)}^2}\,b^3\,{\ln\left(F\right)}^3}{3465\,d\,{\left(c+d\,x\right)}^5}-\frac{16\,F^a\,F^{b\,{\left(c+d\,x\right)}^2}\,b^4\,{\ln\left(F\right)}^4}{10395\,d\,{\left(c+d\,x\right)}^3}-\frac{32\,F^a\,F^{b\,{\left(c+d\,x\right)}^2}\,b^5\,{\ln\left(F\right)}^5}{10395\,d\,\left(c+d\,x\right)}-\frac{2\,F^a\,F^{b\,{\left(c+d\,x\right)}^2}\,b\,\ln\left(F\right)}{99\,d\,{\left(c+d\,x\right)}^9}-\frac{32\,F^a\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^2}\right)\,{\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^2\right)}^{11/2}}{10395\,d\,{\left(c+d\,x\right)}^{11}}","Not used",1,"(32*F^a*pi^(1/2)*(-b*log(F)*(c + d*x)^2)^(11/2))/(10395*d*(c + d*x)^11) - (F^a*F^(b*(c + d*x)^2))/(11*d*(c + d*x)^11) - (4*F^a*F^(b*(c + d*x)^2)*b^2*log(F)^2)/(693*d*(c + d*x)^7) - (8*F^a*F^(b*(c + d*x)^2)*b^3*log(F)^3)/(3465*d*(c + d*x)^5) - (16*F^a*F^(b*(c + d*x)^2)*b^4*log(F)^4)/(10395*d*(c + d*x)^3) - (32*F^a*F^(b*(c + d*x)^2)*b^5*log(F)^5)/(10395*d*(c + d*x)) - (2*F^a*F^(b*(c + d*x)^2)*b*log(F))/(99*d*(c + d*x)^9) - (32*F^a*pi^(1/2)*erfc((-b*log(F)*(c + d*x)^2)^(1/2))*(-b*log(F)*(c + d*x)^2)^(11/2))/(10395*d*(c + d*x)^11)","B"
280,1,75,61,3.678011,"\text{Not used}","int(F^(a + b*(c + d*x)^3)*(c + d*x)^m,x)","\frac{F^a\,{\mathrm{e}}^{\frac{b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3}{2}}\,{\left(c+d\,x\right)}^{m+1}\,{\mathrm{M}}_{\frac{1}{3}-\frac{m}{6},\frac{m}{6}+\frac{1}{6}}\left(b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3\right)}{d\,\left(m+1\right)\,{\left(b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3\right)}^{\frac{m}{6}+\frac{2}{3}}}","Not used",1,"(F^a*exp((b*log(F)*(c + d*x)^3)/2)*(c + d*x)^(m + 1)*whittakerM(1/3 - m/6, m/6 + 1/6, b*log(F)*(c + d*x)^3))/(d*(m + 1)*(b*log(F)*(c + d*x)^3)^(m/6 + 2/3))","B"
281,1,685,105,4.369551,"\text{Not used}","int(F^(a + b*(c + d*x)^3)*(c + d*x)^17,x)","F^{b\,d^3\,x^3}\,F^{3\,b\,c^2\,d\,x}\,F^a\,F^{b\,c^3}\,F^{3\,b\,c\,d^2\,x^2}\,\left(\frac{b^5\,c^{15}\,{\ln\left(F\right)}^5-5\,b^4\,c^{12}\,{\ln\left(F\right)}^4+20\,b^3\,c^9\,{\ln\left(F\right)}^3-60\,b^2\,c^6\,{\ln\left(F\right)}^2+120\,b\,c^3\,\ln\left(F\right)-120}{3\,b^6\,d\,{\ln\left(F\right)}^6}+\frac{d^{14}\,x^{15}}{3\,b\,\ln\left(F\right)}+\frac{5\,c\,d^{13}\,x^{14}}{b\,\ln\left(F\right)}+\frac{5\,d^2\,x^3\,\left(91\,b^4\,c^{12}\,{\ln\left(F\right)}^4-220\,b^3\,c^9\,{\ln\left(F\right)}^3+336\,b^2\,c^6\,{\ln\left(F\right)}^2-240\,b\,c^3\,\ln\left(F\right)+24\right)}{3\,b^5\,{\ln\left(F\right)}^5}+\frac{5\,d^5\,x^6\,\left(1001\,b^3\,c^9\,{\ln\left(F\right)}^3-924\,b^2\,c^6\,{\ln\left(F\right)}^2+336\,b\,c^3\,\ln\left(F\right)-12\right)}{3\,b^4\,{\ln\left(F\right)}^4}+\frac{5\,d^8\,x^9\,\left(1001\,b^2\,c^6\,{\ln\left(F\right)}^2-220\,b\,c^3\,\ln\left(F\right)+4\right)}{3\,b^3\,{\ln\left(F\right)}^3}+\frac{5\,d^{11}\,x^{12}\,\left(91\,b\,c^3\,\ln\left(F\right)-1\right)}{3\,b^2\,{\ln\left(F\right)}^2}+\frac{35\,c^2\,d^{12}\,x^{13}}{b\,\ln\left(F\right)}+\frac{5\,c^2\,x\,\left(b^4\,c^{12}\,{\ln\left(F\right)}^4-4\,b^3\,c^9\,{\ln\left(F\right)}^3+12\,b^2\,c^6\,{\ln\left(F\right)}^2-24\,b\,c^3\,\ln\left(F\right)+24\right)}{b^5\,{\ln\left(F\right)}^5}+\frac{5\,c^2\,d^3\,x^4\,\left(91\,b^3\,c^9\,{\ln\left(F\right)}^3-165\,b^2\,c^6\,{\ln\left(F\right)}^2+168\,b\,c^3\,\ln\left(F\right)-60\right)}{b^4\,{\ln\left(F\right)}^4}+\frac{15\,c^2\,d^6\,x^7\,\left(143\,b^2\,c^6\,{\ln\left(F\right)}^2-88\,b\,c^3\,\ln\left(F\right)+16\right)}{b^3\,{\ln\left(F\right)}^3}+\frac{11\,c^2\,d^9\,x^{10}\,\left(91\,b\,c^3\,\ln\left(F\right)-10\right)}{b^2\,{\ln\left(F\right)}^2}+\frac{5\,c\,d\,x^2\,\left(7\,b^4\,c^{12}\,{\ln\left(F\right)}^4-22\,b^3\,c^9\,{\ln\left(F\right)}^3+48\,b^2\,c^6\,{\ln\left(F\right)}^2-60\,b\,c^3\,\ln\left(F\right)+24\right)}{b^5\,{\ln\left(F\right)}^5}+\frac{c\,d^4\,x^5\,\left(1001\,b^3\,c^9\,{\ln\left(F\right)}^3-1320\,b^2\,c^6\,{\ln\left(F\right)}^2+840\,b\,c^3\,\ln\left(F\right)-120\right)}{b^4\,{\ln\left(F\right)}^4}+\frac{15\,c\,d^7\,x^8\,\left(143\,b^2\,c^6\,{\ln\left(F\right)}^2-55\,b\,c^3\,\ln\left(F\right)+4\right)}{b^3\,{\ln\left(F\right)}^3}+\frac{5\,c\,d^{10}\,x^{11}\,\left(91\,b\,c^3\,\ln\left(F\right)-4\right)}{b^2\,{\ln\left(F\right)}^2}\right)","Not used",1,"F^(b*d^3*x^3)*F^(3*b*c^2*d*x)*F^a*F^(b*c^3)*F^(3*b*c*d^2*x^2)*((120*b*c^3*log(F) - 60*b^2*c^6*log(F)^2 + 20*b^3*c^9*log(F)^3 - 5*b^4*c^12*log(F)^4 + b^5*c^15*log(F)^5 - 120)/(3*b^6*d*log(F)^6) + (d^14*x^15)/(3*b*log(F)) + (5*c*d^13*x^14)/(b*log(F)) + (5*d^2*x^3*(336*b^2*c^6*log(F)^2 - 240*b*c^3*log(F) - 220*b^3*c^9*log(F)^3 + 91*b^4*c^12*log(F)^4 + 24))/(3*b^5*log(F)^5) + (5*d^5*x^6*(336*b*c^3*log(F) - 924*b^2*c^6*log(F)^2 + 1001*b^3*c^9*log(F)^3 - 12))/(3*b^4*log(F)^4) + (5*d^8*x^9*(1001*b^2*c^6*log(F)^2 - 220*b*c^3*log(F) + 4))/(3*b^3*log(F)^3) + (5*d^11*x^12*(91*b*c^3*log(F) - 1))/(3*b^2*log(F)^2) + (35*c^2*d^12*x^13)/(b*log(F)) + (5*c^2*x*(12*b^2*c^6*log(F)^2 - 24*b*c^3*log(F) - 4*b^3*c^9*log(F)^3 + b^4*c^12*log(F)^4 + 24))/(b^5*log(F)^5) + (5*c^2*d^3*x^4*(168*b*c^3*log(F) - 165*b^2*c^6*log(F)^2 + 91*b^3*c^9*log(F)^3 - 60))/(b^4*log(F)^4) + (15*c^2*d^6*x^7*(143*b^2*c^6*log(F)^2 - 88*b*c^3*log(F) + 16))/(b^3*log(F)^3) + (11*c^2*d^9*x^10*(91*b*c^3*log(F) - 10))/(b^2*log(F)^2) + (5*c*d*x^2*(48*b^2*c^6*log(F)^2 - 60*b*c^3*log(F) - 22*b^3*c^9*log(F)^3 + 7*b^4*c^12*log(F)^4 + 24))/(b^5*log(F)^5) + (c*d^4*x^5*(840*b*c^3*log(F) - 1320*b^2*c^6*log(F)^2 + 1001*b^3*c^9*log(F)^3 - 120))/(b^4*log(F)^4) + (15*c*d^7*x^8*(143*b^2*c^6*log(F)^2 - 55*b*c^3*log(F) + 4))/(b^3*log(F)^3) + (5*c*d^10*x^11*(91*b*c^3*log(F) - 4))/(b^2*log(F)^2))","B"
282,1,487,88,4.078392,"\text{Not used}","int(F^(a + b*(c + d*x)^3)*(c + d*x)^14,x)","F^{b\,d^3\,x^3}\,F^{3\,b\,c^2\,d\,x}\,F^a\,F^{b\,c^3}\,F^{3\,b\,c\,d^2\,x^2}\,\left(\frac{b^4\,c^{12}\,{\ln\left(F\right)}^4-4\,b^3\,c^9\,{\ln\left(F\right)}^3+12\,b^2\,c^6\,{\ln\left(F\right)}^2-24\,b\,c^3\,\ln\left(F\right)+24}{3\,b^5\,d\,{\ln\left(F\right)}^5}+\frac{d^{11}\,x^{12}}{3\,b\,\ln\left(F\right)}+\frac{4\,c\,d^{10}\,x^{11}}{b\,\ln\left(F\right)}+\frac{4\,d^2\,x^3\,\left(55\,b^3\,c^9\,{\ln\left(F\right)}^3-84\,b^2\,c^6\,{\ln\left(F\right)}^2+60\,b\,c^3\,\ln\left(F\right)-6\right)}{3\,b^4\,{\ln\left(F\right)}^4}+\frac{4\,d^5\,x^6\,\left(77\,b^2\,c^6\,{\ln\left(F\right)}^2-28\,b\,c^3\,\ln\left(F\right)+1\right)}{b^3\,{\ln\left(F\right)}^3}+\frac{4\,d^8\,x^9\,\left(55\,b\,c^3\,\ln\left(F\right)-1\right)}{3\,b^2\,{\ln\left(F\right)}^2}+\frac{22\,c^2\,d^9\,x^{10}}{b\,\ln\left(F\right)}+\frac{4\,c^2\,x\,\left(b^3\,c^9\,{\ln\left(F\right)}^3-3\,b^2\,c^6\,{\ln\left(F\right)}^2+6\,b\,c^3\,\ln\left(F\right)-6\right)}{b^4\,{\ln\left(F\right)}^4}+\frac{3\,c^2\,d^3\,x^4\,\left(55\,b^2\,c^6\,{\ln\left(F\right)}^2-56\,b\,c^3\,\ln\left(F\right)+20\right)}{b^3\,{\ln\left(F\right)}^3}+\frac{24\,c^2\,d^6\,x^7\,\left(11\,b\,c^3\,\ln\left(F\right)-2\right)}{b^2\,{\ln\left(F\right)}^2}+\frac{2\,c\,d\,x^2\,\left(11\,b^3\,c^9\,{\ln\left(F\right)}^3-24\,b^2\,c^6\,{\ln\left(F\right)}^2+30\,b\,c^3\,\ln\left(F\right)-12\right)}{b^4\,{\ln\left(F\right)}^4}+\frac{24\,c\,d^4\,x^5\,\left(11\,b^2\,c^6\,{\ln\left(F\right)}^2-7\,b\,c^3\,\ln\left(F\right)+1\right)}{b^3\,{\ln\left(F\right)}^3}+\frac{3\,c\,d^7\,x^8\,\left(55\,b\,c^3\,\ln\left(F\right)-4\right)}{b^2\,{\ln\left(F\right)}^2}\right)","Not used",1,"F^(b*d^3*x^3)*F^(3*b*c^2*d*x)*F^a*F^(b*c^3)*F^(3*b*c*d^2*x^2)*((12*b^2*c^6*log(F)^2 - 24*b*c^3*log(F) - 4*b^3*c^9*log(F)^3 + b^4*c^12*log(F)^4 + 24)/(3*b^5*d*log(F)^5) + (d^11*x^12)/(3*b*log(F)) + (4*c*d^10*x^11)/(b*log(F)) + (4*d^2*x^3*(60*b*c^3*log(F) - 84*b^2*c^6*log(F)^2 + 55*b^3*c^9*log(F)^3 - 6))/(3*b^4*log(F)^4) + (4*d^5*x^6*(77*b^2*c^6*log(F)^2 - 28*b*c^3*log(F) + 1))/(b^3*log(F)^3) + (4*d^8*x^9*(55*b*c^3*log(F) - 1))/(3*b^2*log(F)^2) + (22*c^2*d^9*x^10)/(b*log(F)) + (4*c^2*x*(6*b*c^3*log(F) - 3*b^2*c^6*log(F)^2 + b^3*c^9*log(F)^3 - 6))/(b^4*log(F)^4) + (3*c^2*d^3*x^4*(55*b^2*c^6*log(F)^2 - 56*b*c^3*log(F) + 20))/(b^3*log(F)^3) + (24*c^2*d^6*x^7*(11*b*c^3*log(F) - 2))/(b^2*log(F)^2) + (2*c*d*x^2*(30*b*c^3*log(F) - 24*b^2*c^6*log(F)^2 + 11*b^3*c^9*log(F)^3 - 12))/(b^4*log(F)^4) + (24*c*d^4*x^5*(11*b^2*c^6*log(F)^2 - 7*b*c^3*log(F) + 1))/(b^3*log(F)^3) + (3*c*d^7*x^8*(55*b*c^3*log(F) - 4))/(b^2*log(F)^2))","B"
283,1,323,124,3.870575,"\text{Not used}","int(F^(a + b*(c + d*x)^3)*(c + d*x)^11,x)","F^{b\,d^3\,x^3}\,F^{3\,b\,c^2\,d\,x}\,F^a\,F^{b\,c^3}\,F^{3\,b\,c\,d^2\,x^2}\,\left(\frac{b^3\,c^9\,{\ln\left(F\right)}^3-3\,b^2\,c^6\,{\ln\left(F\right)}^2+6\,b\,c^3\,\ln\left(F\right)-6}{3\,b^4\,d\,{\ln\left(F\right)}^4}+\frac{d^8\,x^9}{3\,b\,\ln\left(F\right)}+\frac{3\,c\,d^7\,x^8}{b\,\ln\left(F\right)}+\frac{2\,d^2\,x^3\,\left(14\,b^2\,c^6\,{\ln\left(F\right)}^2-10\,b\,c^3\,\ln\left(F\right)+1\right)}{b^3\,{\ln\left(F\right)}^3}+\frac{d^5\,x^6\,\left(28\,b\,c^3\,\ln\left(F\right)-1\right)}{b^2\,{\ln\left(F\right)}^2}+\frac{12\,c^2\,d^6\,x^7}{b\,\ln\left(F\right)}+\frac{3\,c^2\,x\,\left(b^2\,c^6\,{\ln\left(F\right)}^2-2\,b\,c^3\,\ln\left(F\right)+2\right)}{b^3\,{\ln\left(F\right)}^3}+\frac{3\,c^2\,d^3\,x^4\,\left(14\,b\,c^3\,\ln\left(F\right)-5\right)}{b^2\,{\ln\left(F\right)}^2}+\frac{3\,c\,d\,x^2\,\left(4\,b^2\,c^6\,{\ln\left(F\right)}^2-5\,b\,c^3\,\ln\left(F\right)+2\right)}{b^3\,{\ln\left(F\right)}^3}+\frac{6\,c\,d^4\,x^5\,\left(7\,b\,c^3\,\ln\left(F\right)-1\right)}{b^2\,{\ln\left(F\right)}^2}\right)","Not used",1,"F^(b*d^3*x^3)*F^(3*b*c^2*d*x)*F^a*F^(b*c^3)*F^(3*b*c*d^2*x^2)*((6*b*c^3*log(F) - 3*b^2*c^6*log(F)^2 + b^3*c^9*log(F)^3 - 6)/(3*b^4*d*log(F)^4) + (d^8*x^9)/(3*b*log(F)) + (3*c*d^7*x^8)/(b*log(F)) + (2*d^2*x^3*(14*b^2*c^6*log(F)^2 - 10*b*c^3*log(F) + 1))/(b^3*log(F)^3) + (d^5*x^6*(28*b*c^3*log(F) - 1))/(b^2*log(F)^2) + (12*c^2*d^6*x^7)/(b*log(F)) + (3*c^2*x*(b^2*c^6*log(F)^2 - 2*b*c^3*log(F) + 2))/(b^3*log(F)^3) + (3*c^2*d^3*x^4*(14*b*c^3*log(F) - 5))/(b^2*log(F)^2) + (3*c*d*x^2*(4*b^2*c^6*log(F)^2 - 5*b*c^3*log(F) + 2))/(b^3*log(F)^3) + (6*c*d^4*x^5*(7*b*c^3*log(F) - 1))/(b^2*log(F)^2))","B"
284,1,196,96,3.662958,"\text{Not used}","int(F^(a + b*(c + d*x)^3)*(c + d*x)^8,x)","F^{b\,d^3\,x^3}\,F^{3\,b\,c^2\,d\,x}\,F^a\,F^{b\,c^3}\,F^{3\,b\,c\,d^2\,x^2}\,\left(\frac{b^2\,c^6\,{\ln\left(F\right)}^2-2\,b\,c^3\,\ln\left(F\right)+2}{3\,b^3\,d\,{\ln\left(F\right)}^3}+\frac{d^5\,x^6}{3\,b\,\ln\left(F\right)}+\frac{2\,c^2\,x\,\left(b\,c^3\,\ln\left(F\right)-1\right)}{b^2\,{\ln\left(F\right)}^2}+\frac{2\,c\,d^4\,x^5}{b\,\ln\left(F\right)}+\frac{2\,d^2\,x^3\,\left(10\,b\,c^3\,\ln\left(F\right)-1\right)}{3\,b^2\,{\ln\left(F\right)}^2}+\frac{5\,c^2\,d^3\,x^4}{b\,\ln\left(F\right)}+\frac{c\,d\,x^2\,\left(5\,b\,c^3\,\ln\left(F\right)-2\right)}{b^2\,{\ln\left(F\right)}^2}\right)","Not used",1,"F^(b*d^3*x^3)*F^(3*b*c^2*d*x)*F^a*F^(b*c^3)*F^(3*b*c*d^2*x^2)*((b^2*c^6*log(F)^2 - 2*b*c^3*log(F) + 2)/(3*b^3*d*log(F)^3) + (d^5*x^6)/(3*b*log(F)) + (2*c^2*x*(b*c^3*log(F) - 1))/(b^2*log(F)^2) + (2*c*d^4*x^5)/(b*log(F)) + (2*d^2*x^3*(10*b*c^3*log(F) - 1))/(3*b^2*log(F)^2) + (5*c^2*d^3*x^4)/(b*log(F)) + (c*d*x^2*(5*b*c^3*log(F) - 2))/(b^2*log(F)^2))","B"
285,1,95,62,3.626710,"\text{Not used}","int(F^(a + b*(c + d*x)^3)*(c + d*x)^5,x)","\frac{F^{b\,d^3\,x^3}\,F^{3\,b\,c^2\,d\,x}\,F^a\,F^{b\,c^3}\,F^{3\,b\,c\,d^2\,x^2}\,\left(b\,\ln\left(F\right)\,c^3+3\,b\,\ln\left(F\right)\,c^2\,d\,x+3\,b\,\ln\left(F\right)\,c\,d^2\,x^2+b\,\ln\left(F\right)\,d^3\,x^3-1\right)}{3\,b^2\,d\,{\ln\left(F\right)}^2}","Not used",1,"(F^(b*d^3*x^3)*F^(3*b*c^2*d*x)*F^a*F^(b*c^3)*F^(3*b*c*d^2*x^2)*(b*c^3*log(F) + b*d^3*x^3*log(F) + 3*b*c^2*d*x*log(F) + 3*b*c*d^2*x^2*log(F) - 1))/(3*b^2*d*log(F)^2)","B"
286,1,25,27,3.533075,"\text{Not used}","int(F^(a + b*(c + d*x)^3)*(c + d*x)^2,x)","\frac{F^{a+b\,{\left(c+d\,x\right)}^3}}{3\,b\,d\,\ln\left(F\right)}","Not used",1,"F^(a + b*(c + d*x)^3)/(3*b*d*log(F))","B"
287,1,20,22,3.579917,"\text{Not used}","int(F^(a + b*(c + d*x)^3)/(c + d*x),x)","\frac{F^a\,\mathrm{ei}\left(b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3\right)}{3\,d}","Not used",1,"(F^a*ei(b*log(F)*(c + d*x)^3))/(3*d)","B"
288,1,51,53,3.921299,"\text{Not used}","int(F^(a + b*(c + d*x)^3)/(c + d*x)^4,x)","-\frac{F^a\,\left(F^{b\,{\left(c+d\,x\right)}^3}+b\,\ln\left(F\right)\,\mathrm{expint}\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3\right)\,{\left(c+d\,x\right)}^3\right)}{3\,d\,{\left(c+d\,x\right)}^3}","Not used",1,"-(F^a*(F^(b*(c + d*x)^3) + b*log(F)*expint(-b*log(F)*(c + d*x)^3)*(c + d*x)^3))/(3*d*(c + d*x)^3)","B"
289,1,76,87,4.884163,"\text{Not used}","int(F^(a + b*(c + d*x)^3)/(c + d*x)^7,x)","-\frac{F^a\,b^2\,{\ln\left(F\right)}^2\,\left(\frac{\mathrm{expint}\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3\right)}{2}+F^{b\,{\left(c+d\,x\right)}^3}\,\left(\frac{1}{2\,b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3}+\frac{1}{2\,b^2\,{\ln\left(F\right)}^2\,{\left(c+d\,x\right)}^6}\right)\right)}{3\,d}","Not used",1,"-(F^a*b^2*log(F)^2*(expint(-b*log(F)*(c + d*x)^3)/2 + F^(b*(c + d*x)^3)*(1/(2*b*log(F)*(c + d*x)^3) + 1/(2*b^2*log(F)^2*(c + d*x)^6))))/(3*d)","B"
290,1,104,121,3.870928,"\text{Not used}","int(F^(a + b*(c + d*x)^3)/(c + d*x)^10,x)","-\frac{F^a\,b^3\,{\ln\left(F\right)}^3\,\mathrm{expint}\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3\right)}{18\,d}-\frac{F^a\,F^{b\,{\left(c+d\,x\right)}^3}\,b^3\,{\ln\left(F\right)}^3\,\left(\frac{1}{6\,b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3}+\frac{1}{6\,b^2\,{\ln\left(F\right)}^2\,{\left(c+d\,x\right)}^6}+\frac{1}{3\,b^3\,{\ln\left(F\right)}^3\,{\left(c+d\,x\right)}^9}\right)}{3\,d}","Not used",1,"- (F^a*b^3*log(F)^3*expint(-b*log(F)*(c + d*x)^3))/(18*d) - (F^a*F^(b*(c + d*x)^3)*b^3*log(F)^3*(1/(6*b*log(F)*(c + d*x)^3) + 1/(6*b^2*log(F)^2*(c + d*x)^6) + 1/(3*b^3*log(F)^3*(c + d*x)^9)))/(3*d)","B"
291,1,120,31,4.032514,"\text{Not used}","int(F^(a + b*(c + d*x)^3)/(c + d*x)^13,x)","-\frac{F^a\,b^4\,{\ln\left(F\right)}^4\,\mathrm{expint}\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3\right)}{72\,d}-\frac{F^a\,F^{b\,{\left(c+d\,x\right)}^3}\,b^4\,{\ln\left(F\right)}^4\,\left(\frac{1}{24\,b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3}+\frac{1}{24\,b^2\,{\ln\left(F\right)}^2\,{\left(c+d\,x\right)}^6}+\frac{1}{12\,b^3\,{\ln\left(F\right)}^3\,{\left(c+d\,x\right)}^9}+\frac{1}{4\,b^4\,{\ln\left(F\right)}^4\,{\left(c+d\,x\right)}^{12}}\right)}{3\,d}","Not used",1,"- (F^a*b^4*log(F)^4*expint(-b*log(F)*(c + d*x)^3))/(72*d) - (F^a*F^(b*(c + d*x)^3)*b^4*log(F)^4*(1/(24*b*log(F)*(c + d*x)^3) + 1/(24*b^2*log(F)^2*(c + d*x)^6) + 1/(12*b^3*log(F)^3*(c + d*x)^9) + 1/(4*b^4*log(F)^4*(c + d*x)^12)))/(3*d)","B"
292,1,136,31,4.302860,"\text{Not used}","int(F^(a + b*(c + d*x)^3)/(c + d*x)^16,x)","-\frac{F^a\,b^5\,{\ln\left(F\right)}^5\,\mathrm{expint}\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3\right)}{360\,d}-\frac{F^a\,F^{b\,{\left(c+d\,x\right)}^3}\,b^5\,{\ln\left(F\right)}^5\,\left(\frac{1}{120\,b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3}+\frac{1}{120\,b^2\,{\ln\left(F\right)}^2\,{\left(c+d\,x\right)}^6}+\frac{1}{60\,b^3\,{\ln\left(F\right)}^3\,{\left(c+d\,x\right)}^9}+\frac{1}{20\,b^4\,{\ln\left(F\right)}^4\,{\left(c+d\,x\right)}^{12}}+\frac{1}{5\,b^5\,{\ln\left(F\right)}^5\,{\left(c+d\,x\right)}^{15}}\right)}{3\,d}","Not used",1,"- (F^a*b^5*log(F)^5*expint(-b*log(F)*(c + d*x)^3))/(360*d) - (F^a*F^(b*(c + d*x)^3)*b^5*log(F)^5*(1/(120*b*log(F)*(c + d*x)^3) + 1/(120*b^2*log(F)^2*(c + d*x)^6) + 1/(60*b^3*log(F)^3*(c + d*x)^9) + 1/(20*b^4*log(F)^4*(c + d*x)^12) + 1/(5*b^5*log(F)^5*(c + d*x)^15)))/(3*d)","B"
293,1,112,49,3.918336,"\text{Not used}","int(F^(a + b*(c + d*x)^3)*(c + d*x)^3,x)","\frac{F^a\,F^{b\,{\left(c+d\,x\right)}^3}\,\left(c+d\,x\right)}{3\,b\,d\,\ln\left(F\right)}-\frac{F^a\,\Gamma \left(\frac{1}{3},-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3\right)\,{\left(c+d\,x\right)}^4}{9\,d\,{\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3\right)}^{4/3}}+\frac{2\,\pi \,\sqrt{3}\,F^a\,{\left(c+d\,x\right)}^4}{27\,d\,\Gamma \left(\frac{2}{3}\right)\,{\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3\right)}^{4/3}}","Not used",1,"(F^a*F^(b*(c + d*x)^3)*(c + d*x))/(3*b*d*log(F)) - (F^a*igamma(1/3, -b*log(F)*(c + d*x)^3)*(c + d*x)^4)/(9*d*(-b*log(F)*(c + d*x)^3)^(4/3)) + (2*3^(1/2)*F^a*pi*(c + d*x)^4)/(27*d*gamma(2/3)*(-b*log(F)*(c + d*x)^3)^(4/3))","B"
294,0,-1,49,0.000000,"\text{Not used}","int(F^(a + b*(c + d*x)^3)*(c + d*x),x)","\int F^{a+b\,{\left(c+d\,x\right)}^3}\,\left(c+d\,x\right) \,d x","Not used",1,"int(F^(a + b*(c + d*x)^3)*(c + d*x), x)","F"
295,0,-1,47,0.000000,"\text{Not used}","int(F^(a + b*(c + d*x)^3),x)","\int F^{a+b\,{\left(c+d\,x\right)}^3} \,d x","Not used",1,"int(F^(a + b*(c + d*x)^3), x)","F"
296,1,74,49,3.729917,"\text{Not used}","int(F^(a + b*(c + d*x)^3)/(c + d*x)^2,x)","-\frac{F^a\,\left(F^{b\,{\left(c+d\,x\right)}^3}-\Gamma \left(\frac{2}{3},-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3\right)\,{\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3\right)}^{1/3}+\Gamma \left(\frac{2}{3}\right)\,{\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3\right)}^{1/3}\right)}{d\,\left(c+d\,x\right)}","Not used",1,"-(F^a*(F^(b*(c + d*x)^3) - igamma(2/3, -b*log(F)*(c + d*x)^3)*(-b*log(F)*(c + d*x)^3)^(1/3) + gamma(2/3)*(-b*log(F)*(c + d*x)^3)^(1/3)))/(d*(c + d*x))","B"
297,1,87,49,3.828782,"\text{Not used}","int(F^(a + b*(c + d*x)^3)/(c + d*x)^3,x)","-\frac{F^a\,\left(3\,F^{b\,{\left(c+d\,x\right)}^3}\,\Gamma \left(\frac{2}{3}\right)-3\,\Gamma \left(\frac{2}{3}\right)\,\Gamma \left(\frac{1}{3},-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3\right)\,{\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3\right)}^{2/3}+2\,\pi \,\sqrt{3}\,{\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3\right)}^{2/3}\right)}{6\,d\,\Gamma \left(\frac{2}{3}\right)\,{\left(c+d\,x\right)}^2}","Not used",1,"-(F^a*(3*F^(b*(c + d*x)^3)*gamma(2/3) - 3*gamma(2/3)*igamma(1/3, -b*log(F)*(c + d*x)^3)*(-b*log(F)*(c + d*x)^3)^(2/3) + 2*3^(1/2)*pi*(-b*log(F)*(c + d*x)^3)^(2/3)))/(6*d*gamma(2/3)*(c + d*x)^2)","B"
298,1,130,49,4.466173,"\text{Not used}","int(F^(a + b*(c + d*x)^3)/(c + d*x)^5,x)","\frac{3\,F^a\,\Gamma \left(\frac{2}{3}\right)\,{\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3\right)}^{4/3}}{4\,d\,{\left(c+d\,x\right)}^4}-\frac{F^a\,F^{b\,{\left(c+d\,x\right)}^3}}{4\,d\,{\left(c+d\,x\right)}^4}-\frac{3\,F^a\,\Gamma \left(\frac{2}{3},-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3\right)\,{\left(-b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3\right)}^{4/3}}{4\,d\,{\left(c+d\,x\right)}^4}-\frac{3\,F^a\,F^{b\,{\left(c+d\,x\right)}^3}\,b\,\ln\left(F\right)}{4\,d\,\left(c+d\,x\right)}","Not used",1,"(3*F^a*gamma(2/3)*(-b*log(F)*(c + d*x)^3)^(4/3))/(4*d*(c + d*x)^4) - (F^a*F^(b*(c + d*x)^3))/(4*d*(c + d*x)^4) - (3*F^a*igamma(2/3, -b*log(F)*(c + d*x)^3)*(-b*log(F)*(c + d*x)^3)^(4/3))/(4*d*(c + d*x)^4) - (3*F^a*F^(b*(c + d*x)^3)*b*log(F))/(4*d*(c + d*x))","B"
299,1,38,64,3.596458,"\text{Not used}","int(f^(a + b*(c + d*x)^(1/2)),x)","\frac{f^{a+b\,\sqrt{c+d\,x}}\,\left(2\,b\,\ln\left(f\right)\,\sqrt{c+d\,x}-2\right)}{b^2\,d\,{\ln\left(f\right)}^2}","Not used",1,"(f^(a + b*(c + d*x)^(1/2))*(2*b*log(f)*(c + d*x)^(1/2) - 2))/(b^2*d*log(f)^2)","B"
300,1,54,100,3.576758,"\text{Not used}","int(f^(a + b*(c + d*x)^(1/3)),x)","\frac{f^{a+b\,{\left(c+d\,x\right)}^{1/3}}\,\left(3\,b^2\,{\ln\left(f\right)}^2\,{\left(c+d\,x\right)}^{2/3}-6\,b\,\ln\left(f\right)\,{\left(c+d\,x\right)}^{1/3}+6\right)}{b^3\,d\,{\ln\left(f\right)}^3}","Not used",1,"(f^(a + b*(c + d*x)^(1/3))*(3*b^2*log(f)^2*(c + d*x)^(2/3) - 6*b*log(f)*(c + d*x)^(1/3) + 6))/(b^3*d*log(f)^3)","B"
301,1,73,50,3.668407,"\text{Not used}","int(F^(a + b/(c + d*x))*(c + d*x)^m,x)","\frac{F^a\,{\mathrm{e}}^{\frac{b\,\ln\left(F\right)}{2\,\left(c+d\,x\right)}}\,{\left(c+d\,x\right)}^{m+1}\,{\mathrm{M}}_{\frac{m}{2}+1,-\frac{m}{2}-\frac{1}{2}}\left(\frac{b\,\ln\left(F\right)}{c+d\,x}\right)\,{\left(\frac{b\,\ln\left(F\right)}{c+d\,x}\right)}^{m/2}}{d\,\left(m+1\right)}","Not used",1,"(F^a*exp((b*log(F))/(2*(c + d*x)))*(c + d*x)^(m + 1)*whittakerM(m/2 + 1, - m/2 - 1/2, (b*log(F))/(c + d*x))*((b*log(F))/(c + d*x))^(m/2))/(d*(m + 1))","B"
302,1,181,29,3.671628,"\text{Not used}","int(F^(a + b/(c + d*x))*(c + d*x)^4,x)","\frac{F^a\,F^{\frac{b}{c+d\,x}}\,{\left(c+d\,x\right)}^5}{5\,d}+\frac{F^a\,b^5\,{\ln\left(F\right)}^5\,\mathrm{expint}\left(-\frac{b\,\ln\left(F\right)}{c+d\,x}\right)}{120\,d}+\frac{F^a\,F^{\frac{b}{c+d\,x}}\,b^2\,{\ln\left(F\right)}^2\,{\left(c+d\,x\right)}^3}{60\,d}+\frac{F^a\,F^{\frac{b}{c+d\,x}}\,b^3\,{\ln\left(F\right)}^3\,{\left(c+d\,x\right)}^2}{120\,d}+\frac{F^a\,F^{\frac{b}{c+d\,x}}\,b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^4}{20\,d}+\frac{F^a\,F^{\frac{b}{c+d\,x}}\,b^4\,{\ln\left(F\right)}^4\,\left(c+d\,x\right)}{120\,d}","Not used",1,"(F^a*F^(b/(c + d*x))*(c + d*x)^5)/(5*d) + (F^a*b^5*log(F)^5*expint(-(b*log(F))/(c + d*x)))/(120*d) + (F^a*F^(b/(c + d*x))*b^2*log(F)^2*(c + d*x)^3)/(60*d) + (F^a*F^(b/(c + d*x))*b^3*log(F)^3*(c + d*x)^2)/(120*d) + (F^a*F^(b/(c + d*x))*b*log(F)*(c + d*x)^4)/(20*d) + (F^a*F^(b/(c + d*x))*b^4*log(F)^4*(c + d*x))/(120*d)","B"
303,1,148,28,3.704926,"\text{Not used}","int(F^(a + b/(c + d*x))*(c + d*x)^3,x)","\frac{F^a\,F^{\frac{b}{c+d\,x}}\,{\left(c+d\,x\right)}^4}{4\,d}+\frac{F^a\,b^4\,{\ln\left(F\right)}^4\,\mathrm{expint}\left(-\frac{b\,\ln\left(F\right)}{c+d\,x}\right)}{24\,d}+\frac{F^a\,F^{\frac{b}{c+d\,x}}\,b^2\,{\ln\left(F\right)}^2\,{\left(c+d\,x\right)}^2}{24\,d}+\frac{F^a\,F^{\frac{b}{c+d\,x}}\,b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3}{12\,d}+\frac{F^a\,F^{\frac{b}{c+d\,x}}\,b^3\,{\ln\left(F\right)}^3\,\left(c+d\,x\right)}{24\,d}","Not used",1,"(F^a*F^(b/(c + d*x))*(c + d*x)^4)/(4*d) + (F^a*b^4*log(F)^4*expint(-(b*log(F))/(c + d*x)))/(24*d) + (F^a*F^(b/(c + d*x))*b^2*log(F)^2*(c + d*x)^2)/(24*d) + (F^a*F^(b/(c + d*x))*b*log(F)*(c + d*x)^3)/(12*d) + (F^a*F^(b/(c + d*x))*b^3*log(F)^3*(c + d*x))/(24*d)","B"
304,1,89,119,3.880152,"\text{Not used}","int(F^(a + b/(c + d*x))*(c + d*x)^2,x)","\frac{F^a\,b^3\,{\ln\left(F\right)}^3\,\left(\frac{\mathrm{expint}\left(-\frac{b\,\ln\left(F\right)}{c+d\,x}\right)}{6}+F^{\frac{b}{c+d\,x}}\,\left(\frac{c+d\,x}{6\,b\,\ln\left(F\right)}+\frac{{\left(c+d\,x\right)}^2}{6\,b^2\,{\ln\left(F\right)}^2}+\frac{{\left(c+d\,x\right)}^3}{3\,b^3\,{\ln\left(F\right)}^3}\right)\right)}{d}","Not used",1,"(F^a*b^3*log(F)^3*(expint(-(b*log(F))/(c + d*x))/6 + F^(b/(c + d*x))*((c + d*x)/(6*b*log(F)) + (c + d*x)^2/(6*b^2*log(F)^2) + (c + d*x)^3/(3*b^3*log(F)^3))))/d","B"
305,1,82,85,6.114521,"\text{Not used}","int(F^(a + b/(c + d*x))*(c + d*x),x)","\frac{F^a\,F^{\frac{b}{c+d\,x}}\,{\left(c+d\,x\right)}^2}{2\,d}+\frac{F^a\,b^2\,{\ln\left(F\right)}^2\,\mathrm{expint}\left(-\frac{b\,\ln\left(F\right)}{c+d\,x}\right)}{2\,d}+\frac{F^a\,F^{\frac{b}{c+d\,x}}\,b\,\ln\left(F\right)\,\left(c+d\,x\right)}{2\,d}","Not used",1,"(F^a*F^(b/(c + d*x))*(c + d*x)^2)/(2*d) + (F^a*b^2*log(F)^2*expint(-(b*log(F))/(c + d*x)))/(2*d) + (F^a*F^(b/(c + d*x))*b*log(F)*(c + d*x))/(2*d)","B"
306,1,47,46,4.400628,"\text{Not used}","int(F^(a + b/(c + d*x)),x)","\frac{F^a\,F^{\frac{b}{c+d\,x}}\,\left(c+d\,x\right)}{d}+\frac{F^a\,b\,\ln\left(F\right)\,\mathrm{expint}\left(-\frac{b\,\ln\left(F\right)}{c+d\,x}\right)}{d}","Not used",1,"(F^a*F^(b/(c + d*x))*(c + d*x))/d + (F^a*b*log(F)*expint(-(b*log(F))/(c + d*x)))/d","B"
307,1,20,20,3.756755,"\text{Not used}","int(F^(a + b/(c + d*x))/(c + d*x),x)","-\frac{F^a\,\mathrm{ei}\left(\frac{b\,\ln\left(F\right)}{c+d\,x}\right)}{d}","Not used",1,"-(F^a*ei((b*log(F))/(c + d*x)))/d","B"
308,1,25,25,5.042012,"\text{Not used}","int(F^(a + b/(c + d*x))/(c + d*x)^2,x)","-\frac{F^{a+\frac{b}{c+d\,x}}}{b\,d\,\ln\left(F\right)}","Not used",1,"-F^(a + b/(c + d*x))/(b*d*log(F))","B"
309,1,41,57,6.233213,"\text{Not used}","int(F^(a + b/(c + d*x))/(c + d*x)^3,x)","\frac{F^{a+\frac{b}{c+d\,x}}\,\left(c+d\,x-b\,\ln\left(F\right)\right)}{b^2\,d\,{\ln\left(F\right)}^2\,\left(c+d\,x\right)}","Not used",1,"(F^(a + b/(c + d*x))*(c + d*x - b*log(F)))/(b^2*d*log(F)^2*(c + d*x))","B"
310,1,104,90,5.621802,"\text{Not used}","int(F^(a + b/(c + d*x))/(c + d*x)^4,x)","-\frac{F^{a+\frac{b}{c+d\,x}}\,\left(\frac{b^2\,{\ln\left(F\right)}^2-2\,b\,c\,\ln\left(F\right)+2\,c^2}{b^3\,d^3\,{\ln\left(F\right)}^3}+\frac{2\,x^2}{b^3\,d\,{\ln\left(F\right)}^3}+\frac{2\,x\,\left(2\,c-b\,\ln\left(F\right)\right)}{b^3\,d^2\,{\ln\left(F\right)}^3}\right)}{x^2+\frac{c^2}{d^2}+\frac{2\,c\,x}{d}}","Not used",1,"-(F^(a + b/(c + d*x))*((b^2*log(F)^2 + 2*c^2 - 2*b*c*log(F))/(b^3*d^3*log(F)^3) + (2*x^2)/(b^3*d*log(F)^3) + (2*x*(2*c - b*log(F)))/(b^3*d^2*log(F)^3)))/(x^2 + c^2/d^2 + (2*c*x)/d)","B"
311,1,161,122,3.800987,"\text{Not used}","int(F^(a + b/(c + d*x))/(c + d*x)^5,x)","\frac{F^{a+\frac{b}{c+d\,x}}\,\left(\frac{6\,x^3}{b^4\,d\,{\ln\left(F\right)}^4}-\frac{b^3\,{\ln\left(F\right)}^3-3\,b^2\,c\,{\ln\left(F\right)}^2+6\,b\,c^2\,\ln\left(F\right)-6\,c^3}{b^4\,d^4\,{\ln\left(F\right)}^4}+\frac{x^2\,\left(18\,c-6\,b\,\ln\left(F\right)\right)}{b^4\,d^2\,{\ln\left(F\right)}^4}+\frac{3\,x\,\left(b^2\,{\ln\left(F\right)}^2-4\,b\,c\,\ln\left(F\right)+6\,c^2\right)}{b^4\,d^3\,{\ln\left(F\right)}^4}\right)}{x^3+\frac{c^3}{d^3}+\frac{3\,c\,x^2}{d}+\frac{3\,c^2\,x}{d^2}}","Not used",1,"(F^(a + b/(c + d*x))*((6*x^3)/(b^4*d*log(F)^4) - (b^3*log(F)^3 - 6*c^3 + 6*b*c^2*log(F) - 3*b^2*c*log(F)^2)/(b^4*d^4*log(F)^4) + (x^2*(18*c - 6*b*log(F)))/(b^4*d^2*log(F)^4) + (3*x*(b^2*log(F)^2 + 6*c^2 - 4*b*c*log(F)))/(b^4*d^3*log(F)^4)))/(x^3 + c^3/d^3 + (3*c*x^2)/d + (3*c^2*x)/d^2)","B"
312,1,231,92,3.880427,"\text{Not used}","int(F^(a + b/(c + d*x))/(c + d*x)^6,x)","-\frac{F^{a+\frac{b}{c+d\,x}}\,\left(\frac{b^4\,{\ln\left(F\right)}^4-4\,b^3\,c\,{\ln\left(F\right)}^3+12\,b^2\,c^2\,{\ln\left(F\right)}^2-24\,b\,c^3\,\ln\left(F\right)+24\,c^4}{b^5\,d^5\,{\ln\left(F\right)}^5}+\frac{24\,x^4}{b^5\,d\,{\ln\left(F\right)}^5}+\frac{x^2\,\left(12\,b^2\,{\ln\left(F\right)}^2-72\,b\,c\,\ln\left(F\right)+144\,c^2\right)}{b^5\,d^3\,{\ln\left(F\right)}^5}+\frac{x^3\,\left(96\,c-24\,b\,\ln\left(F\right)\right)}{b^5\,d^2\,{\ln\left(F\right)}^5}-\frac{4\,x\,\left(b^3\,{\ln\left(F\right)}^3-6\,b^2\,c\,{\ln\left(F\right)}^2+18\,b\,c^2\,\ln\left(F\right)-24\,c^3\right)}{b^5\,d^4\,{\ln\left(F\right)}^5}\right)}{x^4+\frac{c^4}{d^4}+\frac{4\,c\,x^3}{d}+\frac{4\,c^3\,x}{d^3}+\frac{6\,c^2\,x^2}{d^2}}","Not used",1,"-(F^(a + b/(c + d*x))*((b^4*log(F)^4 + 24*c^4 - 24*b*c^3*log(F) - 4*b^3*c*log(F)^3 + 12*b^2*c^2*log(F)^2)/(b^5*d^5*log(F)^5) + (24*x^4)/(b^5*d*log(F)^5) + (x^2*(12*b^2*log(F)^2 + 144*c^2 - 72*b*c*log(F)))/(b^5*d^3*log(F)^5) + (x^3*(96*c - 24*b*log(F)))/(b^5*d^2*log(F)^5) - (4*x*(b^3*log(F)^3 - 24*c^3 + 18*b*c^2*log(F) - 6*b^2*c*log(F)^2))/(b^5*d^4*log(F)^5)))/(x^4 + c^4/d^4 + (4*c*x^3)/d + (4*c^3*x)/d^3 + (6*c^2*x^2)/d^2)","B"
313,1,315,108,3.941504,"\text{Not used}","int(F^(a + b/(c + d*x))/(c + d*x)^7,x)","\frac{F^a\,F^{\frac{b}{c+d\,x}}\,\left(\frac{120\,x^5}{b^6\,d\,{\ln\left(F\right)}^6}-\frac{b^5\,{\ln\left(F\right)}^5-5\,b^4\,c\,{\ln\left(F\right)}^4+20\,b^3\,c^2\,{\ln\left(F\right)}^3-60\,b^2\,c^3\,{\ln\left(F\right)}^2+120\,b\,c^4\,\ln\left(F\right)-120\,c^5}{b^6\,d^6\,{\ln\left(F\right)}^6}-\frac{20\,x^2\,\left(b^3\,{\ln\left(F\right)}^3-9\,b^2\,c\,{\ln\left(F\right)}^2+36\,b\,c^2\,\ln\left(F\right)-60\,c^3\right)}{b^6\,d^4\,{\ln\left(F\right)}^6}+\frac{60\,x^3\,\left(b^2\,{\ln\left(F\right)}^2-8\,b\,c\,\ln\left(F\right)+20\,c^2\right)}{b^6\,d^3\,{\ln\left(F\right)}^6}+\frac{120\,x^4\,\left(5\,c-b\,\ln\left(F\right)\right)}{b^6\,d^2\,{\ln\left(F\right)}^6}+\frac{5\,x\,\left(b^4\,{\ln\left(F\right)}^4-8\,b^3\,c\,{\ln\left(F\right)}^3+36\,b^2\,c^2\,{\ln\left(F\right)}^2-96\,b\,c^3\,\ln\left(F\right)+120\,c^4\right)}{b^6\,d^5\,{\ln\left(F\right)}^6}\right)}{x^5+\frac{c^5}{d^5}+\frac{5\,c\,x^4}{d}+\frac{5\,c^4\,x}{d^4}+\frac{10\,c^2\,x^3}{d^2}+\frac{10\,c^3\,x^2}{d^3}}","Not used",1,"(F^a*F^(b/(c + d*x))*((120*x^5)/(b^6*d*log(F)^6) - (b^5*log(F)^5 - 120*c^5 + 120*b*c^4*log(F) - 5*b^4*c*log(F)^4 - 60*b^2*c^3*log(F)^2 + 20*b^3*c^2*log(F)^3)/(b^6*d^6*log(F)^6) - (20*x^2*(b^3*log(F)^3 - 60*c^3 + 36*b*c^2*log(F) - 9*b^2*c*log(F)^2))/(b^6*d^4*log(F)^6) + (60*x^3*(b^2*log(F)^2 + 20*c^2 - 8*b*c*log(F)))/(b^6*d^3*log(F)^6) + (120*x^4*(5*c - b*log(F)))/(b^6*d^2*log(F)^6) + (5*x*(b^4*log(F)^4 + 120*c^4 - 96*b*c^3*log(F) - 8*b^3*c*log(F)^3 + 36*b^2*c^2*log(F)^2))/(b^6*d^5*log(F)^6)))/(x^5 + c^5/d^5 + (5*c*x^4)/d + (5*c^4*x)/d^4 + (10*c^2*x^3)/d^2 + (10*c^3*x^2)/d^3)","B"
314,1,73,61,3.757903,"\text{Not used}","int(F^(a + b/(c + d*x)^2)*(c + d*x)^m,x)","\frac{F^a\,{\mathrm{e}}^{\frac{b\,\ln\left(F\right)}{2\,{\left(c+d\,x\right)}^2}}\,{\left(c+d\,x\right)}^{m+1}\,{\mathrm{M}}_{\frac{m}{4}+\frac{3}{4},-\frac{m}{4}-\frac{1}{4}}\left(\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^2}\right)\,{\left(\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^2}\right)}^{\frac{m}{4}-\frac{1}{4}}}{d\,\left(m+1\right)}","Not used",1,"(F^a*exp((b*log(F))/(2*(c + d*x)^2))*(c + d*x)^(m + 1)*whittakerM(m/4 + 3/4, - m/4 - 1/4, (b*log(F))/(c + d*x)^2)*((b*log(F))/(c + d*x)^2)^(m/4 - 1/4))/(d*(m + 1))","B"
315,1,136,31,3.954757,"\text{Not used}","int(F^(a + b/(c + d*x)^2)*(c + d*x)^9,x)","\frac{F^a\,b^5\,{\ln\left(F\right)}^5\,\mathrm{expint}\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^2}\right)}{240\,d}+\frac{F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,b^5\,{\ln\left(F\right)}^5\,\left(\frac{{\left(c+d\,x\right)}^2}{120\,b\,\ln\left(F\right)}+\frac{{\left(c+d\,x\right)}^4}{120\,b^2\,{\ln\left(F\right)}^2}+\frac{{\left(c+d\,x\right)}^6}{60\,b^3\,{\ln\left(F\right)}^3}+\frac{{\left(c+d\,x\right)}^8}{20\,b^4\,{\ln\left(F\right)}^4}+\frac{{\left(c+d\,x\right)}^{10}}{5\,b^5\,{\ln\left(F\right)}^5}\right)}{2\,d}","Not used",1,"(F^a*b^5*log(F)^5*expint(-(b*log(F))/(c + d*x)^2))/(240*d) + (F^a*F^(b/(c + d*x)^2)*b^5*log(F)^5*((c + d*x)^2/(120*b*log(F)) + (c + d*x)^4/(120*b^2*log(F)^2) + (c + d*x)^6/(60*b^3*log(F)^3) + (c + d*x)^8/(20*b^4*log(F)^4) + (c + d*x)^10/(5*b^5*log(F)^5)))/(2*d)","B"
316,1,120,31,3.844915,"\text{Not used}","int(F^(a + b/(c + d*x)^2)*(c + d*x)^7,x)","\frac{F^a\,b^4\,{\ln\left(F\right)}^4\,\mathrm{expint}\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^2}\right)}{48\,d}+\frac{F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,b^4\,{\ln\left(F\right)}^4\,\left(\frac{{\left(c+d\,x\right)}^2}{24\,b\,\ln\left(F\right)}+\frac{{\left(c+d\,x\right)}^4}{24\,b^2\,{\ln\left(F\right)}^2}+\frac{{\left(c+d\,x\right)}^6}{12\,b^3\,{\ln\left(F\right)}^3}+\frac{{\left(c+d\,x\right)}^8}{4\,b^4\,{\ln\left(F\right)}^4}\right)}{2\,d}","Not used",1,"(F^a*b^4*log(F)^4*expint(-(b*log(F))/(c + d*x)^2))/(48*d) + (F^a*F^(b/(c + d*x)^2)*b^4*log(F)^4*((c + d*x)^2/(24*b*log(F)) + (c + d*x)^4/(24*b^2*log(F)^2) + (c + d*x)^6/(12*b^3*log(F)^3) + (c + d*x)^8/(4*b^4*log(F)^4)))/(2*d)","B"
317,1,92,121,3.776600,"\text{Not used}","int(F^(a + b/(c + d*x)^2)*(c + d*x)^5,x)","\frac{F^a\,b^3\,{\ln\left(F\right)}^3\,\left(\frac{\mathrm{expint}\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^2}\right)}{6}+F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,\left(\frac{{\left(c+d\,x\right)}^2}{6\,b\,\ln\left(F\right)}+\frac{{\left(c+d\,x\right)}^4}{6\,b^2\,{\ln\left(F\right)}^2}+\frac{{\left(c+d\,x\right)}^6}{3\,b^3\,{\ln\left(F\right)}^3}\right)\right)}{2\,d}","Not used",1,"(F^a*b^3*log(F)^3*(expint(-(b*log(F))/(c + d*x)^2)/6 + F^(b/(c + d*x)^2)*((c + d*x)^2/(6*b*log(F)) + (c + d*x)^4/(6*b^2*log(F)^2) + (c + d*x)^6/(3*b^3*log(F)^3))))/(2*d)","B"
318,1,76,87,3.699982,"\text{Not used}","int(F^(a + b/(c + d*x)^2)*(c + d*x)^3,x)","\frac{F^a\,b^2\,{\ln\left(F\right)}^2\,\left(\frac{\mathrm{expint}\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^2}\right)}{2}+F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,\left(\frac{{\left(c+d\,x\right)}^2}{2\,b\,\ln\left(F\right)}+\frac{{\left(c+d\,x\right)}^4}{2\,b^2\,{\ln\left(F\right)}^2}\right)\right)}{2\,d}","Not used",1,"(F^a*b^2*log(F)^2*(expint(-(b*log(F))/(c + d*x)^2)/2 + F^(b/(c + d*x)^2)*((c + d*x)^2/(2*b*log(F)) + (c + d*x)^4/(2*b^2*log(F)^2))))/(2*d)","B"
319,1,51,53,5.449173,"\text{Not used}","int(F^(a + b/(c + d*x)^2)*(c + d*x),x)","\frac{F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,{\left(c+d\,x\right)}^2}{2\,d}+\frac{F^a\,b\,\ln\left(F\right)\,\mathrm{expint}\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^2}\right)}{2\,d}","Not used",1,"(F^a*F^(b/(c + d*x)^2)*(c + d*x)^2)/(2*d) + (F^a*b*log(F)*expint(-(b*log(F))/(c + d*x)^2))/(2*d)","B"
320,1,20,22,3.698810,"\text{Not used}","int(F^(a + b/(c + d*x)^2)/(c + d*x),x)","-\frac{F^a\,\mathrm{ei}\left(\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^2}\right)}{2\,d}","Not used",1,"-(F^a*ei((b*log(F))/(c + d*x)^2))/(2*d)","B"
321,1,37,27,3.542307,"\text{Not used}","int(F^(a + b/(c + d*x)^2)/(c + d*x)^3,x)","-\frac{F^a\,F^{\frac{b}{c^2+2\,c\,d\,x+d^2\,x^2}}}{2\,b\,d\,\ln\left(F\right)}","Not used",1,"-(F^a*F^(b/(c^2 + d^2*x^2 + 2*c*d*x)))/(2*b*d*log(F))","B"
322,1,97,62,3.714721,"\text{Not used}","int(F^(a + b/(c + d*x)^2)/(c + d*x)^5,x)","\frac{F^a\,F^{\frac{b}{c^2+2\,c\,d\,x+d^2\,x^2}}\,\left(\frac{x^2}{2\,b^2\,d\,{\ln\left(F\right)}^2}-\frac{b\,\ln\left(F\right)-c^2}{2\,b^2\,d^3\,{\ln\left(F\right)}^2}+\frac{c\,x}{b^2\,d^2\,{\ln\left(F\right)}^2}\right)}{x^2+\frac{c^2}{d^2}+\frac{2\,c\,x}{d}}","Not used",1,"(F^a*F^(b/(c^2 + d^2*x^2 + 2*c*d*x))*(x^2/(2*b^2*d*log(F)^2) - (b*log(F) - c^2)/(2*b^2*d^3*log(F)^2) + (c*x)/(b^2*d^2*log(F)^2)))/(x^2 + c^2/d^2 + (2*c*x)/d)","B"
323,1,183,91,3.956630,"\text{Not used}","int(F^(a + b/(c + d*x)^2)/(c + d*x)^7,x)","-\frac{F^a\,F^{\frac{b}{c^2+2\,c\,d\,x+d^2\,x^2}}\,\left(\frac{x^4}{b^3\,d\,{\ln\left(F\right)}^3}+\frac{b^2\,{\ln\left(F\right)}^2-2\,b\,c^2\,\ln\left(F\right)+2\,c^4}{2\,b^3\,d^5\,{\ln\left(F\right)}^3}+\frac{4\,c\,x^3}{b^3\,d^2\,{\ln\left(F\right)}^3}-\frac{x^2\,\left(b\,\ln\left(F\right)-6\,c^2\right)}{b^3\,d^3\,{\ln\left(F\right)}^3}-\frac{2\,c\,x\,\left(b\,\ln\left(F\right)-2\,c^2\right)}{b^3\,d^4\,{\ln\left(F\right)}^3}\right)}{x^4+\frac{c^4}{d^4}+\frac{4\,c\,x^3}{d}+\frac{4\,c^3\,x}{d^3}+\frac{6\,c^2\,x^2}{d^2}}","Not used",1,"-(F^a*F^(b/(c^2 + d^2*x^2 + 2*c*d*x))*(x^4/(b^3*d*log(F)^3) + (b^2*log(F)^2 + 2*c^4 - 2*b*c^2*log(F))/(2*b^3*d^5*log(F)^3) + (4*c*x^3)/(b^3*d^2*log(F)^3) - (x^2*(b*log(F) - 6*c^2))/(b^3*d^3*log(F)^3) - (2*c*x*(b*log(F) - 2*c^2))/(b^3*d^4*log(F)^3)))/(x^4 + c^4/d^4 + (4*c*x^3)/d + (4*c^3*x)/d^3 + (6*c^2*x^2)/d^2)","B"
324,1,292,126,4.248839,"\text{Not used}","int(F^(a + b/(c + d*x)^2)/(c + d*x)^9,x)","\frac{F^a\,F^{\frac{b}{c^2+2\,c\,d\,x+d^2\,x^2}}\,\left(\frac{3\,x^6}{b^4\,d\,{\ln\left(F\right)}^4}-\frac{b^3\,{\ln\left(F\right)}^3-3\,b^2\,c^2\,{\ln\left(F\right)}^2+6\,b\,c^4\,\ln\left(F\right)-6\,c^6}{2\,b^4\,d^7\,{\ln\left(F\right)}^4}+\frac{18\,c\,x^5}{b^4\,d^2\,{\ln\left(F\right)}^4}+\frac{3\,x^2\,\left(b^2\,{\ln\left(F\right)}^2-12\,b\,c^2\,\ln\left(F\right)+30\,c^4\right)}{2\,b^4\,d^5\,{\ln\left(F\right)}^4}-\frac{3\,x^4\,\left(b\,\ln\left(F\right)-15\,c^2\right)}{b^4\,d^3\,{\ln\left(F\right)}^4}-\frac{12\,c\,x^3\,\left(b\,\ln\left(F\right)-5\,c^2\right)}{b^4\,d^4\,{\ln\left(F\right)}^4}+\frac{3\,c\,x\,\left(b^2\,{\ln\left(F\right)}^2-4\,b\,c^2\,\ln\left(F\right)+6\,c^4\right)}{b^4\,d^6\,{\ln\left(F\right)}^4}\right)}{x^6+\frac{c^6}{d^6}+\frac{6\,c\,x^5}{d}+\frac{6\,c^5\,x}{d^5}+\frac{15\,c^2\,x^4}{d^2}+\frac{20\,c^3\,x^3}{d^3}+\frac{15\,c^4\,x^2}{d^4}}","Not used",1,"(F^a*F^(b/(c^2 + d^2*x^2 + 2*c*d*x))*((3*x^6)/(b^4*d*log(F)^4) - (b^3*log(F)^3 - 6*c^6 + 6*b*c^4*log(F) - 3*b^2*c^2*log(F)^2)/(2*b^4*d^7*log(F)^4) + (18*c*x^5)/(b^4*d^2*log(F)^4) + (3*x^2*(b^2*log(F)^2 + 30*c^4 - 12*b*c^2*log(F)))/(2*b^4*d^5*log(F)^4) - (3*x^4*(b*log(F) - 15*c^2))/(b^4*d^3*log(F)^4) - (12*c*x^3*(b*log(F) - 5*c^2))/(b^4*d^4*log(F)^4) + (3*c*x*(b^2*log(F)^2 + 6*c^4 - 4*b*c^2*log(F)))/(b^4*d^6*log(F)^4)))/(x^6 + c^6/d^6 + (6*c*x^5)/d + (6*c^5*x)/d^5 + (15*c^2*x^4)/d^2 + (20*c^3*x^3)/d^3 + (15*c^4*x^2)/d^4)","B"
325,1,427,96,4.572514,"\text{Not used}","int(F^(a + b/(c + d*x)^2)/(c + d*x)^11,x)","-\frac{F^a\,F^{\frac{b}{c^2+2\,c\,d\,x+d^2\,x^2}}\,\left(\frac{b^4\,{\ln\left(F\right)}^4-4\,b^3\,c^2\,{\ln\left(F\right)}^3+12\,b^2\,c^4\,{\ln\left(F\right)}^2-24\,b\,c^6\,\ln\left(F\right)+24\,c^8}{2\,b^5\,d^9\,{\ln\left(F\right)}^5}+\frac{12\,x^8}{b^5\,d\,{\ln\left(F\right)}^5}+\frac{96\,c\,x^7}{b^5\,d^2\,{\ln\left(F\right)}^5}-\frac{2\,x^2\,\left(b^3\,{\ln\left(F\right)}^3-18\,b^2\,c^2\,{\ln\left(F\right)}^2+90\,b\,c^4\,\ln\left(F\right)-168\,c^6\right)}{b^5\,d^7\,{\ln\left(F\right)}^5}+\frac{6\,x^4\,\left(b^2\,{\ln\left(F\right)}^2-30\,b\,c^2\,\ln\left(F\right)+140\,c^4\right)}{b^5\,d^5\,{\ln\left(F\right)}^5}-\frac{12\,x^6\,\left(b\,\ln\left(F\right)-28\,c^2\right)}{b^5\,d^3\,{\ln\left(F\right)}^5}+\frac{24\,c\,x^3\,\left(b^2\,{\ln\left(F\right)}^2-10\,b\,c^2\,\ln\left(F\right)+28\,c^4\right)}{b^5\,d^6\,{\ln\left(F\right)}^5}-\frac{24\,c\,x^5\,\left(3\,b\,\ln\left(F\right)-28\,c^2\right)}{b^5\,d^4\,{\ln\left(F\right)}^5}-\frac{4\,c\,x\,\left(b^3\,{\ln\left(F\right)}^3-6\,b^2\,c^2\,{\ln\left(F\right)}^2+18\,b\,c^4\,\ln\left(F\right)-24\,c^6\right)}{b^5\,d^8\,{\ln\left(F\right)}^5}\right)}{x^8+\frac{c^8}{d^8}+\frac{8\,c\,x^7}{d}+\frac{8\,c^7\,x}{d^7}+\frac{28\,c^2\,x^6}{d^2}+\frac{56\,c^3\,x^5}{d^3}+\frac{70\,c^4\,x^4}{d^4}+\frac{56\,c^5\,x^3}{d^5}+\frac{28\,c^6\,x^2}{d^6}}","Not used",1,"-(F^a*F^(b/(c^2 + d^2*x^2 + 2*c*d*x))*((b^4*log(F)^4 + 24*c^8 - 24*b*c^6*log(F) + 12*b^2*c^4*log(F)^2 - 4*b^3*c^2*log(F)^3)/(2*b^5*d^9*log(F)^5) + (12*x^8)/(b^5*d*log(F)^5) + (96*c*x^7)/(b^5*d^2*log(F)^5) - (2*x^2*(b^3*log(F)^3 - 168*c^6 + 90*b*c^4*log(F) - 18*b^2*c^2*log(F)^2))/(b^5*d^7*log(F)^5) + (6*x^4*(b^2*log(F)^2 + 140*c^4 - 30*b*c^2*log(F)))/(b^5*d^5*log(F)^5) - (12*x^6*(b*log(F) - 28*c^2))/(b^5*d^3*log(F)^5) + (24*c*x^3*(b^2*log(F)^2 + 28*c^4 - 10*b*c^2*log(F)))/(b^5*d^6*log(F)^5) - (24*c*x^5*(3*b*log(F) - 28*c^2))/(b^5*d^4*log(F)^5) - (4*c*x*(b^3*log(F)^3 - 24*c^6 + 18*b*c^4*log(F) - 6*b^2*c^2*log(F)^2))/(b^5*d^8*log(F)^5)))/(x^8 + c^8/d^8 + (8*c*x^7)/d + (8*c^7*x)/d^7 + (28*c^2*x^6)/d^2 + (56*c^3*x^5)/d^3 + (70*c^4*x^4)/d^4 + (56*c^5*x^3)/d^5 + (28*c^6*x^2)/d^6)","B"
326,1,583,113,4.987452,"\text{Not used}","int(F^(a + b/(c + d*x)^2)/(c + d*x)^13,x)","\frac{F^a\,F^{\frac{b}{c^2+2\,c\,d\,x+d^2\,x^2}}\,\left(\frac{60\,x^{10}}{b^6\,d\,{\ln\left(F\right)}^6}-\frac{b^5\,{\ln\left(F\right)}^5-5\,b^4\,c^2\,{\ln\left(F\right)}^4+20\,b^3\,c^4\,{\ln\left(F\right)}^3-60\,b^2\,c^6\,{\ln\left(F\right)}^2+120\,b\,c^8\,\ln\left(F\right)-120\,c^{10}}{2\,b^6\,d^{11}\,{\ln\left(F\right)}^6}+\frac{600\,c\,x^9}{b^6\,d^2\,{\ln\left(F\right)}^6}+\frac{5\,x^2\,\left(b^4\,{\ln\left(F\right)}^4-24\,b^3\,c^2\,{\ln\left(F\right)}^3+180\,b^2\,c^4\,{\ln\left(F\right)}^2-672\,b\,c^6\,\ln\left(F\right)+1080\,c^8\right)}{2\,b^6\,d^9\,{\ln\left(F\right)}^6}-\frac{10\,x^4\,\left(b^3\,{\ln\left(F\right)}^3-45\,b^2\,c^2\,{\ln\left(F\right)}^2+420\,b\,c^4\,\ln\left(F\right)-1260\,c^6\right)}{b^6\,d^7\,{\ln\left(F\right)}^6}+\frac{30\,x^6\,\left(b^2\,{\ln\left(F\right)}^2-56\,b\,c^2\,\ln\left(F\right)+420\,c^4\right)}{b^6\,d^5\,{\ln\left(F\right)}^6}-\frac{60\,x^8\,\left(b\,\ln\left(F\right)-45\,c^2\right)}{b^6\,d^3\,{\ln\left(F\right)}^6}-\frac{40\,c\,x^3\,\left(b^3\,{\ln\left(F\right)}^3-15\,b^2\,c^2\,{\ln\left(F\right)}^2+84\,b\,c^4\,\ln\left(F\right)-180\,c^6\right)}{b^6\,d^8\,{\ln\left(F\right)}^6}+\frac{60\,c\,x^5\,\left(3\,b^2\,{\ln\left(F\right)}^2-56\,b\,c^2\,\ln\left(F\right)+252\,c^4\right)}{b^6\,d^6\,{\ln\left(F\right)}^6}-\frac{480\,c\,x^7\,\left(b\,\ln\left(F\right)-15\,c^2\right)}{b^6\,d^4\,{\ln\left(F\right)}^6}+\frac{5\,c\,x\,\left(b^4\,{\ln\left(F\right)}^4-8\,b^3\,c^2\,{\ln\left(F\right)}^3+36\,b^2\,c^4\,{\ln\left(F\right)}^2-96\,b\,c^6\,\ln\left(F\right)+120\,c^8\right)}{b^6\,d^{10}\,{\ln\left(F\right)}^6}\right)}{x^{10}+\frac{c^{10}}{d^{10}}+\frac{10\,c\,x^9}{d}+\frac{10\,c^9\,x}{d^9}+\frac{45\,c^2\,x^8}{d^2}+\frac{120\,c^3\,x^7}{d^3}+\frac{210\,c^4\,x^6}{d^4}+\frac{252\,c^5\,x^5}{d^5}+\frac{210\,c^6\,x^4}{d^6}+\frac{120\,c^7\,x^3}{d^7}+\frac{45\,c^8\,x^2}{d^8}}","Not used",1,"(F^a*F^(b/(c^2 + d^2*x^2 + 2*c*d*x))*((60*x^10)/(b^6*d*log(F)^6) - (b^5*log(F)^5 - 120*c^10 + 120*b*c^8*log(F) - 60*b^2*c^6*log(F)^2 + 20*b^3*c^4*log(F)^3 - 5*b^4*c^2*log(F)^4)/(2*b^6*d^11*log(F)^6) + (600*c*x^9)/(b^6*d^2*log(F)^6) + (5*x^2*(b^4*log(F)^4 + 1080*c^8 - 672*b*c^6*log(F) + 180*b^2*c^4*log(F)^2 - 24*b^3*c^2*log(F)^3))/(2*b^6*d^9*log(F)^6) - (10*x^4*(b^3*log(F)^3 - 1260*c^6 + 420*b*c^4*log(F) - 45*b^2*c^2*log(F)^2))/(b^6*d^7*log(F)^6) + (30*x^6*(b^2*log(F)^2 + 420*c^4 - 56*b*c^2*log(F)))/(b^6*d^5*log(F)^6) - (60*x^8*(b*log(F) - 45*c^2))/(b^6*d^3*log(F)^6) - (40*c*x^3*(b^3*log(F)^3 - 180*c^6 + 84*b*c^4*log(F) - 15*b^2*c^2*log(F)^2))/(b^6*d^8*log(F)^6) + (60*c*x^5*(3*b^2*log(F)^2 + 252*c^4 - 56*b*c^2*log(F)))/(b^6*d^6*log(F)^6) - (480*c*x^7*(b*log(F) - 15*c^2))/(b^6*d^4*log(F)^6) + (5*c*x*(b^4*log(F)^4 + 120*c^8 - 96*b*c^6*log(F) + 36*b^2*c^4*log(F)^2 - 8*b^3*c^2*log(F)^3))/(b^6*d^10*log(F)^6)))/(x^10 + c^10/d^10 + (10*c*x^9)/d + (10*c^9*x)/d^9 + (45*c^2*x^8)/d^2 + (120*c^3*x^7)/d^3 + (210*c^4*x^6)/d^4 + (252*c^5*x^5)/d^5 + (210*c^6*x^4)/d^6 + (120*c^7*x^3)/d^7 + (45*c^8*x^2)/d^8)","B"
327,1,265,49,4.345326,"\text{Not used}","int(F^(a + b/(c + d*x)^2)*(c + d*x)^10,x)","\frac{F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,{\left(c+d\,x\right)}^{11}}{11\,d}-\frac{32\,F^a\,\sqrt{\pi }\,{\left(c+d\,x\right)}^{11}\,{\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^2}\right)}^{11/2}}{10395\,d}+\frac{4\,F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,b^2\,{\ln\left(F\right)}^2\,{\left(c+d\,x\right)}^7}{693\,d}+\frac{8\,F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,b^3\,{\ln\left(F\right)}^3\,{\left(c+d\,x\right)}^5}{3465\,d}+\frac{16\,F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,b^4\,{\ln\left(F\right)}^4\,{\left(c+d\,x\right)}^3}{10395\,d}+\frac{2\,F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^9}{99\,d}+\frac{32\,F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,b^5\,{\ln\left(F\right)}^5\,\left(c+d\,x\right)}{10395\,d}+\frac{32\,F^a\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^2}}\right)\,{\left(c+d\,x\right)}^{11}\,{\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^2}\right)}^{11/2}}{10395\,d}","Not used",1,"(F^a*F^(b/(c + d*x)^2)*(c + d*x)^11)/(11*d) - (32*F^a*pi^(1/2)*(c + d*x)^11*(-(b*log(F))/(c + d*x)^2)^(11/2))/(10395*d) + (4*F^a*F^(b/(c + d*x)^2)*b^2*log(F)^2*(c + d*x)^7)/(693*d) + (8*F^a*F^(b/(c + d*x)^2)*b^3*log(F)^3*(c + d*x)^5)/(3465*d) + (16*F^a*F^(b/(c + d*x)^2)*b^4*log(F)^4*(c + d*x)^3)/(10395*d) + (2*F^a*F^(b/(c + d*x)^2)*b*log(F)*(c + d*x)^9)/(99*d) + (32*F^a*F^(b/(c + d*x)^2)*b^5*log(F)^5*(c + d*x))/(10395*d) + (32*F^a*pi^(1/2)*erfc((-(b*log(F))/(c + d*x)^2)^(1/2))*(c + d*x)^11*(-(b*log(F))/(c + d*x)^2)^(11/2))/(10395*d)","B"
328,1,232,49,4.170797,"\text{Not used}","int(F^(a + b/(c + d*x)^2)*(c + d*x)^8,x)","\frac{F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,{\left(c+d\,x\right)}^9}{9\,d}+\frac{16\,F^a\,\sqrt{\pi }\,{\left(c+d\,x\right)}^9\,{\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^2}\right)}^{9/2}}{945\,d}+\frac{4\,F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,b^2\,{\ln\left(F\right)}^2\,{\left(c+d\,x\right)}^5}{315\,d}+\frac{8\,F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,b^3\,{\ln\left(F\right)}^3\,{\left(c+d\,x\right)}^3}{945\,d}+\frac{2\,F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^7}{63\,d}+\frac{16\,F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,b^4\,{\ln\left(F\right)}^4\,\left(c+d\,x\right)}{945\,d}-\frac{16\,F^a\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^2}}\right)\,{\left(c+d\,x\right)}^9\,{\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^2}\right)}^{9/2}}{945\,d}","Not used",1,"(F^a*F^(b/(c + d*x)^2)*(c + d*x)^9)/(9*d) + (16*F^a*pi^(1/2)*(c + d*x)^9*(-(b*log(F))/(c + d*x)^2)^(9/2))/(945*d) + (4*F^a*F^(b/(c + d*x)^2)*b^2*log(F)^2*(c + d*x)^5)/(315*d) + (8*F^a*F^(b/(c + d*x)^2)*b^3*log(F)^3*(c + d*x)^3)/(945*d) + (2*F^a*F^(b/(c + d*x)^2)*b*log(F)*(c + d*x)^7)/(63*d) + (16*F^a*F^(b/(c + d*x)^2)*b^4*log(F)^4*(c + d*x))/(945*d) - (16*F^a*pi^(1/2)*erfc((-(b*log(F))/(c + d*x)^2)^(1/2))*(c + d*x)^9*(-(b*log(F))/(c + d*x)^2)^(9/2))/(945*d)","B"
329,1,199,170,4.407555,"\text{Not used}","int(F^(a + b/(c + d*x)^2)*(c + d*x)^6,x)","\frac{F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,{\left(c+d\,x\right)}^7}{7\,d}-\frac{8\,F^a\,\sqrt{\pi }\,{\left(c+d\,x\right)}^7\,{\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^2}\right)}^{7/2}}{105\,d}+\frac{4\,F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,b^2\,{\ln\left(F\right)}^2\,{\left(c+d\,x\right)}^3}{105\,d}+\frac{2\,F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^5}{35\,d}+\frac{8\,F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,b^3\,{\ln\left(F\right)}^3\,\left(c+d\,x\right)}{105\,d}+\frac{8\,F^a\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^2}}\right)\,{\left(c+d\,x\right)}^7\,{\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^2}\right)}^{7/2}}{105\,d}","Not used",1,"(F^a*F^(b/(c + d*x)^2)*(c + d*x)^7)/(7*d) - (8*F^a*pi^(1/2)*(c + d*x)^7*(-(b*log(F))/(c + d*x)^2)^(7/2))/(105*d) + (4*F^a*F^(b/(c + d*x)^2)*b^2*log(F)^2*(c + d*x)^3)/(105*d) + (2*F^a*F^(b/(c + d*x)^2)*b*log(F)*(c + d*x)^5)/(35*d) + (8*F^a*F^(b/(c + d*x)^2)*b^3*log(F)^3*(c + d*x))/(105*d) + (8*F^a*pi^(1/2)*erfc((-(b*log(F))/(c + d*x)^2)^(1/2))*(c + d*x)^7*(-(b*log(F))/(c + d*x)^2)^(7/2))/(105*d)","B"
330,1,166,136,4.013549,"\text{Not used}","int(F^(a + b/(c + d*x)^2)*(c + d*x)^4,x)","\frac{F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,{\left(c+d\,x\right)}^5}{5\,d}+\frac{4\,F^a\,\sqrt{\pi }\,{\left(c+d\,x\right)}^5\,{\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^2}\right)}^{5/2}}{15\,d}+\frac{2\,F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3}{15\,d}+\frac{4\,F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,b^2\,{\ln\left(F\right)}^2\,\left(c+d\,x\right)}{15\,d}-\frac{4\,F^a\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^2}}\right)\,{\left(c+d\,x\right)}^5\,{\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^2}\right)}^{5/2}}{15\,d}","Not used",1,"(F^a*F^(b/(c + d*x)^2)*(c + d*x)^5)/(5*d) + (4*F^a*pi^(1/2)*(c + d*x)^5*(-(b*log(F))/(c + d*x)^2)^(5/2))/(15*d) + (2*F^a*F^(b/(c + d*x)^2)*b*log(F)*(c + d*x)^3)/(15*d) + (4*F^a*F^(b/(c + d*x)^2)*b^2*log(F)^2*(c + d*x))/(15*d) - (4*F^a*pi^(1/2)*erfc((-(b*log(F))/(c + d*x)^2)^(1/2))*(c + d*x)^5*(-(b*log(F))/(c + d*x)^2)^(5/2))/(15*d)","B"
331,1,97,102,4.003452,"\text{Not used}","int(F^(a + b/(c + d*x)^2)*(c + d*x)^2,x)","\frac{\left(\frac{F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}}{3}+\frac{2\,F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,b\,\ln\left(F\right)}{3\,{\left(c+d\,x\right)}^2}\right)\,{\left(c+d\,x\right)}^3}{d}-\frac{2\,F^a\,b^2\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,\ln\left(F\right)}{\sqrt{b\,\ln\left(F\right)}\,\left(c+d\,x\right)}\right)\,{\ln\left(F\right)}^2}{3\,d\,\sqrt{b\,\ln\left(F\right)}}","Not used",1,"(((F^a*F^(b/(c + d*x)^2))/3 + (2*F^a*F^(b/(c + d*x)^2)*b*log(F))/(3*(c + d*x)^2))*(c + d*x)^3)/d - (2*F^a*b^2*pi^(1/2)*erfi((b*log(F))/((b*log(F))^(1/2)*(c + d*x)))*log(F)^2)/(3*d*(b*log(F))^(1/2))","B"
332,1,62,67,4.768618,"\text{Not used}","int(F^(a + b/(c + d*x)^2),x)","\frac{F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,\left(c+d\,x\right)}{d}-\frac{F^a\,b\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,\ln\left(F\right)}{\sqrt{b\,\ln\left(F\right)}\,\left(c+d\,x\right)}\right)\,\ln\left(F\right)}{d\,\sqrt{b\,\ln\left(F\right)}}","Not used",1,"(F^a*F^(b/(c + d*x)^2)*(c + d*x))/d - (F^a*b*pi^(1/2)*erfi((b*log(F))/((b*log(F))^(1/2)*(c + d*x)))*log(F))/(d*(b*log(F))^(1/2))","B"
333,1,35,46,3.503550,"\text{Not used}","int(F^(a + b/(c + d*x)^2)/(c + d*x)^2,x)","-\frac{F^a\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,\ln\left(F\right)}{\sqrt{b\,\ln\left(F\right)}\,\left(c+d\,x\right)}\right)}{2\,d\,\sqrt{b\,\ln\left(F\right)}}","Not used",1,"-(F^a*pi^(1/2)*erfi((b*log(F))/((b*log(F))^(1/2)*(c + d*x))))/(2*d*(b*log(F))^(1/2))","B"
334,1,76,81,3.984092,"\text{Not used}","int(F^(a + b/(c + d*x)^2)/(c + d*x)^4,x)","\frac{F^a\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,\ln\left(F\right)}{\sqrt{b\,\ln\left(F\right)}\,\left(c+d\,x\right)}\right)}{4\,b\,d\,\ln\left(F\right)\,\sqrt{b\,\ln\left(F\right)}}-\frac{F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}}{2\,b\,d\,\ln\left(F\right)\,\left(c+d\,x\right)}","Not used",1,"(F^a*pi^(1/2)*erfi((b*log(F))/((b*log(F))^(1/2)*(c + d*x))))/(4*b*d*log(F)*(b*log(F))^(1/2)) - (F^a*F^(b/(c + d*x)^2))/(2*b*d*log(F)*(c + d*x))","B"
335,1,105,115,3.898531,"\text{Not used}","int(F^(a + b/(c + d*x)^2)/(c + d*x)^6,x)","-\frac{F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}}{2\,b\,d\,\ln\left(F\right)\,{\left(c+d\,x\right)}^3}-\frac{F^a\,\left(3\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,\ln\left(F\right)}{\sqrt{b\,\ln\left(F\right)}\,\left(c+d\,x\right)}\right)-\frac{6\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,\sqrt{b\,\ln\left(F\right)}}{c+d\,x}\right)}{8\,b^2\,d\,{\ln\left(F\right)}^2\,\sqrt{b\,\ln\left(F\right)}}","Not used",1,"- (F^a*F^(b/(c + d*x)^2))/(2*b*d*log(F)*(c + d*x)^3) - (F^a*(3*pi^(1/2)*erfi((b*log(F))/((b*log(F))^(1/2)*(c + d*x))) - (6*F^(b/(c + d*x)^2)*(b*log(F))^(1/2))/(c + d*x)))/(8*b^2*d*log(F)^2*(b*log(F))^(1/2))","B"
336,1,142,149,4.373083,"\text{Not used}","int(F^(a + b/(c + d*x)^2)/(c + d*x)^8,x)","\frac{5\,F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}}{4\,b^2\,d\,{\ln\left(F\right)}^2\,{\left(c+d\,x\right)}^3}-\frac{F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}}{2\,b\,d\,\ln\left(F\right)\,{\left(c+d\,x\right)}^5}-\frac{15\,F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}}{8\,b^3\,d\,{\ln\left(F\right)}^3\,\left(c+d\,x\right)}+\frac{15\,F^a\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,\ln\left(F\right)}{\sqrt{b\,\ln\left(F\right)}\,\left(c+d\,x\right)}\right)}{16\,b^3\,d\,{\ln\left(F\right)}^3\,\sqrt{b\,\ln\left(F\right)}}","Not used",1,"(5*F^a*F^(b/(c + d*x)^2))/(4*b^2*d*log(F)^2*(c + d*x)^3) - (F^a*F^(b/(c + d*x)^2))/(2*b*d*log(F)*(c + d*x)^5) - (15*F^a*F^(b/(c + d*x)^2))/(8*b^3*d*log(F)^3*(c + d*x)) + (15*F^a*pi^(1/2)*erfi((b*log(F))/((b*log(F))^(1/2)*(c + d*x))))/(16*b^3*d*log(F)^3*(b*log(F))^(1/2))","B"
337,1,160,183,4.623284,"\text{Not used}","int(F^(a + b/(c + d*x)^2)/(c + d*x)^10,x)","-\frac{\frac{F^a\,\left(105\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,\ln\left(F\right)}{\sqrt{b\,\ln\left(F\right)}\,\left(c+d\,x\right)}\right)-\frac{210\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,\sqrt{b\,\ln\left(F\right)}}{c+d\,x}\right)}{32\,\sqrt{b\,\ln\left(F\right)}}-\frac{7\,F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,b^2\,{\ln\left(F\right)}^2}{4\,{\left(c+d\,x\right)}^5}+\frac{F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,b^3\,{\ln\left(F\right)}^3}{2\,{\left(c+d\,x\right)}^7}+\frac{35\,F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,b\,\ln\left(F\right)}{8\,{\left(c+d\,x\right)}^3}}{b^4\,d\,{\ln\left(F\right)}^4}","Not used",1,"-((F^a*(105*pi^(1/2)*erfi((b*log(F))/((b*log(F))^(1/2)*(c + d*x))) - (210*F^(b/(c + d*x)^2)*(b*log(F))^(1/2))/(c + d*x)))/(32*(b*log(F))^(1/2)) - (7*F^a*F^(b/(c + d*x)^2)*b^2*log(F)^2)/(4*(c + d*x)^5) + (F^a*F^(b/(c + d*x)^2)*b^3*log(F)^3)/(2*(c + d*x)^7) + (35*F^a*F^(b/(c + d*x)^2)*b*log(F))/(8*(c + d*x)^3))/(b^4*d*log(F)^4)","B"
338,1,189,49,4.918448,"\text{Not used}","int(F^(a + b/(c + d*x)^2)/(c + d*x)^12,x)","\frac{\frac{F^a\,\left(945\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,\ln\left(F\right)}{\sqrt{b\,\ln\left(F\right)}\,\left(c+d\,x\right)}\right)-\frac{1890\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,\sqrt{b\,\ln\left(F\right)}}{c+d\,x}\right)}{64\,\sqrt{b\,\ln\left(F\right)}}-\frac{63\,F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,b^2\,{\ln\left(F\right)}^2}{8\,{\left(c+d\,x\right)}^5}+\frac{9\,F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,b^3\,{\ln\left(F\right)}^3}{4\,{\left(c+d\,x\right)}^7}-\frac{F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,b^4\,{\ln\left(F\right)}^4}{2\,{\left(c+d\,x\right)}^9}+\frac{315\,F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,b\,\ln\left(F\right)}{16\,{\left(c+d\,x\right)}^3}}{b^5\,d\,{\ln\left(F\right)}^5}","Not used",1,"((F^a*(945*pi^(1/2)*erfi((b*log(F))/((b*log(F))^(1/2)*(c + d*x))) - (1890*F^(b/(c + d*x)^2)*(b*log(F))^(1/2))/(c + d*x)))/(64*(b*log(F))^(1/2)) - (63*F^a*F^(b/(c + d*x)^2)*b^2*log(F)^2)/(8*(c + d*x)^5) + (9*F^a*F^(b/(c + d*x)^2)*b^3*log(F)^3)/(4*(c + d*x)^7) - (F^a*F^(b/(c + d*x)^2)*b^4*log(F)^4)/(2*(c + d*x)^9) + (315*F^a*F^(b/(c + d*x)^2)*b*log(F))/(16*(c + d*x)^3))/(b^5*d*log(F)^5)","B"
339,1,217,49,5.078303,"\text{Not used}","int(F^(a + b/(c + d*x)^2)/(c + d*x)^14,x)","-\frac{\frac{F^a\,\left(\frac{10395\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,\ln\left(F\right)}{\sqrt{b\,\ln\left(F\right)}\,\left(c+d\,x\right)}\right)}{128}-\frac{10395\,F^{\frac{b}{{\left(c+d\,x\right)}^2}}\,\sqrt{b\,\ln\left(F\right)}}{64\,\left(c+d\,x\right)}\right)}{\sqrt{b\,\ln\left(F\right)}}-\frac{693\,F^{a+\frac{b}{{\left(c+d\,x\right)}^2}}\,b^2\,{\ln\left(F\right)}^2}{16\,{\left(c+d\,x\right)}^5}+\frac{99\,F^{a+\frac{b}{{\left(c+d\,x\right)}^2}}\,b^3\,{\ln\left(F\right)}^3}{8\,{\left(c+d\,x\right)}^7}-\frac{11\,F^{a+\frac{b}{{\left(c+d\,x\right)}^2}}\,b^4\,{\ln\left(F\right)}^4}{4\,{\left(c+d\,x\right)}^9}+\frac{F^{a+\frac{b}{{\left(c+d\,x\right)}^2}}\,b^5\,{\ln\left(F\right)}^5}{2\,{\left(c+d\,x\right)}^{11}}+\frac{3465\,F^{a+\frac{b}{{\left(c+d\,x\right)}^2}}\,b\,\ln\left(F\right)}{32\,{\left(c+d\,x\right)}^3}}{b^6\,d\,{\ln\left(F\right)}^6}","Not used",1,"-((F^a*((10395*pi^(1/2)*erfi((b*log(F))/((b*log(F))^(1/2)*(c + d*x))))/128 - (10395*F^(b/(c + d*x)^2)*(b*log(F))^(1/2))/(64*(c + d*x))))/(b*log(F))^(1/2) - (693*F^(a + b/(c + d*x)^2)*b^2*log(F)^2)/(16*(c + d*x)^5) + (99*F^(a + b/(c + d*x)^2)*b^3*log(F)^3)/(8*(c + d*x)^7) - (11*F^(a + b/(c + d*x)^2)*b^4*log(F)^4)/(4*(c + d*x)^9) + (F^(a + b/(c + d*x)^2)*b^5*log(F)^5)/(2*(c + d*x)^11) + (3465*F^(a + b/(c + d*x)^2)*b*log(F))/(32*(c + d*x)^3))/(b^6*d*log(F)^6)","B"
340,1,73,61,3.723640,"\text{Not used}","int(F^(a + b/(c + d*x)^3)*(c + d*x)^m,x)","\frac{F^a\,{\mathrm{e}}^{\frac{b\,\ln\left(F\right)}{2\,{\left(c+d\,x\right)}^3}}\,{\left(c+d\,x\right)}^{m+1}\,{\mathrm{M}}_{\frac{m}{6}+\frac{2}{3},-\frac{m}{6}-\frac{1}{6}}\left(\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^3}\right)\,{\left(\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^3}\right)}^{\frac{m}{6}-\frac{1}{3}}}{d\,\left(m+1\right)}","Not used",1,"(F^a*exp((b*log(F))/(2*(c + d*x)^3))*(c + d*x)^(m + 1)*whittakerM(m/6 + 2/3, - m/6 - 1/6, (b*log(F))/(c + d*x)^3)*((b*log(F))/(c + d*x)^3)^(m/6 - 1/3))/(d*(m + 1))","B"
341,1,136,31,4.017159,"\text{Not used}","int(F^(a + b/(c + d*x)^3)*(c + d*x)^14,x)","\frac{F^a\,b^5\,{\ln\left(F\right)}^5\,\mathrm{expint}\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^3}\right)}{360\,d}+\frac{F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^3}}\,b^5\,{\ln\left(F\right)}^5\,\left(\frac{{\left(c+d\,x\right)}^3}{120\,b\,\ln\left(F\right)}+\frac{{\left(c+d\,x\right)}^6}{120\,b^2\,{\ln\left(F\right)}^2}+\frac{{\left(c+d\,x\right)}^9}{60\,b^3\,{\ln\left(F\right)}^3}+\frac{{\left(c+d\,x\right)}^{12}}{20\,b^4\,{\ln\left(F\right)}^4}+\frac{{\left(c+d\,x\right)}^{15}}{5\,b^5\,{\ln\left(F\right)}^5}\right)}{3\,d}","Not used",1,"(F^a*b^5*log(F)^5*expint(-(b*log(F))/(c + d*x)^3))/(360*d) + (F^a*F^(b/(c + d*x)^3)*b^5*log(F)^5*((c + d*x)^3/(120*b*log(F)) + (c + d*x)^6/(120*b^2*log(F)^2) + (c + d*x)^9/(60*b^3*log(F)^3) + (c + d*x)^12/(20*b^4*log(F)^4) + (c + d*x)^15/(5*b^5*log(F)^5)))/(3*d)","B"
342,1,120,31,3.828985,"\text{Not used}","int(F^(a + b/(c + d*x)^3)*(c + d*x)^11,x)","\frac{F^a\,b^4\,{\ln\left(F\right)}^4\,\mathrm{expint}\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^3}\right)}{72\,d}+\frac{F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^3}}\,b^4\,{\ln\left(F\right)}^4\,\left(\frac{{\left(c+d\,x\right)}^3}{24\,b\,\ln\left(F\right)}+\frac{{\left(c+d\,x\right)}^6}{24\,b^2\,{\ln\left(F\right)}^2}+\frac{{\left(c+d\,x\right)}^9}{12\,b^3\,{\ln\left(F\right)}^3}+\frac{{\left(c+d\,x\right)}^{12}}{4\,b^4\,{\ln\left(F\right)}^4}\right)}{3\,d}","Not used",1,"(F^a*b^4*log(F)^4*expint(-(b*log(F))/(c + d*x)^3))/(72*d) + (F^a*F^(b/(c + d*x)^3)*b^4*log(F)^4*((c + d*x)^3/(24*b*log(F)) + (c + d*x)^6/(24*b^2*log(F)^2) + (c + d*x)^9/(12*b^3*log(F)^3) + (c + d*x)^12/(4*b^4*log(F)^4)))/(3*d)","B"
343,1,92,121,3.873247,"\text{Not used}","int(F^(a + b/(c + d*x)^3)*(c + d*x)^8,x)","\frac{F^a\,b^3\,{\ln\left(F\right)}^3\,\left(\frac{\mathrm{expint}\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^3}\right)}{6}+F^{\frac{b}{{\left(c+d\,x\right)}^3}}\,\left(\frac{{\left(c+d\,x\right)}^3}{6\,b\,\ln\left(F\right)}+\frac{{\left(c+d\,x\right)}^6}{6\,b^2\,{\ln\left(F\right)}^2}+\frac{{\left(c+d\,x\right)}^9}{3\,b^3\,{\ln\left(F\right)}^3}\right)\right)}{3\,d}","Not used",1,"(F^a*b^3*log(F)^3*(expint(-(b*log(F))/(c + d*x)^3)/6 + F^(b/(c + d*x)^3)*((c + d*x)^3/(6*b*log(F)) + (c + d*x)^6/(6*b^2*log(F)^2) + (c + d*x)^9/(3*b^3*log(F)^3))))/(3*d)","B"
344,1,76,87,3.594272,"\text{Not used}","int(F^(a + b/(c + d*x)^3)*(c + d*x)^5,x)","\frac{F^a\,b^2\,{\ln\left(F\right)}^2\,\left(\frac{\mathrm{expint}\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^3}\right)}{2}+F^{\frac{b}{{\left(c+d\,x\right)}^3}}\,\left(\frac{{\left(c+d\,x\right)}^3}{2\,b\,\ln\left(F\right)}+\frac{{\left(c+d\,x\right)}^6}{2\,b^2\,{\ln\left(F\right)}^2}\right)\right)}{3\,d}","Not used",1,"(F^a*b^2*log(F)^2*(expint(-(b*log(F))/(c + d*x)^3)/2 + F^(b/(c + d*x)^3)*((c + d*x)^3/(2*b*log(F)) + (c + d*x)^6/(2*b^2*log(F)^2))))/(3*d)","B"
345,1,51,53,3.724047,"\text{Not used}","int(F^(a + b/(c + d*x)^3)*(c + d*x)^2,x)","\frac{F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^3}}\,{\left(c+d\,x\right)}^3}{3\,d}+\frac{F^a\,b\,\ln\left(F\right)\,\mathrm{expint}\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^3}\right)}{3\,d}","Not used",1,"(F^a*F^(b/(c + d*x)^3)*(c + d*x)^3)/(3*d) + (F^a*b*log(F)*expint(-(b*log(F))/(c + d*x)^3))/(3*d)","B"
346,1,20,22,3.720788,"\text{Not used}","int(F^(a + b/(c + d*x)^3)/(c + d*x),x)","-\frac{F^a\,\mathrm{ei}\left(\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^3}\right)}{3\,d}","Not used",1,"-(F^a*ei((b*log(F))/(c + d*x)^3))/(3*d)","B"
347,1,48,27,3.636378,"\text{Not used}","int(F^(a + b/(c + d*x)^3)/(c + d*x)^4,x)","-\frac{F^a\,F^{\frac{b}{c^3+3\,c^2\,d\,x+3\,c\,d^2\,x^2+d^3\,x^3}}}{3\,b\,d\,\ln\left(F\right)}","Not used",1,"-(F^a*F^(b/(c^3 + d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x)))/(3*b*d*log(F))","B"
348,1,136,62,3.887287,"\text{Not used}","int(F^(a + b/(c + d*x)^3)/(c + d*x)^7,x)","\frac{F^a\,F^{\frac{b}{c^3+3\,c^2\,d\,x+3\,c\,d^2\,x^2+d^3\,x^3}}\,\left(\frac{x^3}{3\,b^2\,d\,{\ln\left(F\right)}^2}-\frac{b\,\ln\left(F\right)-c^3}{3\,b^2\,d^4\,{\ln\left(F\right)}^2}+\frac{c\,x^2}{b^2\,d^2\,{\ln\left(F\right)}^2}+\frac{c^2\,x}{b^2\,d^3\,{\ln\left(F\right)}^2}\right)}{x^3+\frac{c^3}{d^3}+\frac{3\,c\,x^2}{d}+\frac{3\,c^2\,x}{d^2}}","Not used",1,"(F^a*F^(b/(c^3 + d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x))*(x^3/(3*b^2*d*log(F)^2) - (b*log(F) - c^3)/(3*b^2*d^4*log(F)^2) + (c*x^2)/(b^2*d^2*log(F)^2) + (c^2*x)/(b^2*d^3*log(F)^2)))/(x^3 + c^3/d^3 + (3*c*x^2)/d + (3*c^2*x)/d^2)","B"
349,1,263,96,4.082997,"\text{Not used}","int(F^(a + b/(c + d*x)^3)/(c + d*x)^10,x)","-\frac{F^a\,F^{\frac{b}{c^3+3\,c^2\,d\,x+3\,c\,d^2\,x^2+d^3\,x^3}}\,\left(\frac{2\,x^6}{3\,b^3\,d\,{\ln\left(F\right)}^3}+\frac{b^2\,{\ln\left(F\right)}^2-2\,b\,c^3\,\ln\left(F\right)+2\,c^6}{3\,b^3\,d^7\,{\ln\left(F\right)}^3}+\frac{4\,c\,x^5}{b^3\,d^2\,{\ln\left(F\right)}^3}+\frac{10\,c^2\,x^4}{b^3\,d^3\,{\ln\left(F\right)}^3}-\frac{2\,x^3\,\left(b\,\ln\left(F\right)-20\,c^3\right)}{3\,b^3\,d^4\,{\ln\left(F\right)}^3}-\frac{2\,c^2\,x\,\left(b\,\ln\left(F\right)-2\,c^3\right)}{b^3\,d^6\,{\ln\left(F\right)}^3}-\frac{2\,c\,x^2\,\left(b\,\ln\left(F\right)-5\,c^3\right)}{b^3\,d^5\,{\ln\left(F\right)}^3}\right)}{x^6+\frac{c^6}{d^6}+\frac{6\,c\,x^5}{d}+\frac{6\,c^5\,x}{d^5}+\frac{15\,c^2\,x^4}{d^2}+\frac{20\,c^3\,x^3}{d^3}+\frac{15\,c^4\,x^2}{d^4}}","Not used",1,"-(F^a*F^(b/(c^3 + d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x))*((2*x^6)/(3*b^3*d*log(F)^3) + (b^2*log(F)^2 + 2*c^6 - 2*b*c^3*log(F))/(3*b^3*d^7*log(F)^3) + (4*c*x^5)/(b^3*d^2*log(F)^3) + (10*c^2*x^4)/(b^3*d^3*log(F)^3) - (2*x^3*(b*log(F) - 20*c^3))/(3*b^3*d^4*log(F)^3) - (2*c^2*x*(b*log(F) - 2*c^3))/(b^3*d^6*log(F)^3) - (2*c*x^2*(b*log(F) - 5*c^3))/(b^3*d^5*log(F)^3)))/(x^6 + c^6/d^6 + (6*c*x^5)/d + (6*c^5*x)/d^5 + (15*c^2*x^4)/d^2 + (20*c^3*x^3)/d^3 + (15*c^4*x^2)/d^4)","B"
350,1,422,123,4.585463,"\text{Not used}","int(F^(a + b/(c + d*x)^3)/(c + d*x)^13,x)","\frac{F^a\,F^{\frac{b}{c^3+3\,c^2\,d\,x+3\,c\,d^2\,x^2+d^3\,x^3}}\,\left(\frac{2\,x^9}{b^4\,d\,{\ln\left(F\right)}^4}-\frac{b^3\,{\ln\left(F\right)}^3-3\,b^2\,c^3\,{\ln\left(F\right)}^2+6\,b\,c^6\,\ln\left(F\right)-6\,c^9}{3\,b^4\,d^{10}\,{\ln\left(F\right)}^4}+\frac{18\,c\,x^8}{b^4\,d^2\,{\ln\left(F\right)}^4}+\frac{72\,c^2\,x^7}{b^4\,d^3\,{\ln\left(F\right)}^4}+\frac{x^3\,\left(b^2\,{\ln\left(F\right)}^2-40\,b\,c^3\,\ln\left(F\right)+168\,c^6\right)}{b^4\,d^7\,{\ln\left(F\right)}^4}-\frac{2\,x^6\,\left(b\,\ln\left(F\right)-84\,c^3\right)}{b^4\,d^4\,{\ln\left(F\right)}^4}+\frac{3\,c^2\,x\,\left(b^2\,{\ln\left(F\right)}^2-4\,b\,c^3\,\ln\left(F\right)+6\,c^6\right)}{b^4\,d^9\,{\ln\left(F\right)}^4}+\frac{3\,c\,x^2\,\left(b^2\,{\ln\left(F\right)}^2-10\,b\,c^3\,\ln\left(F\right)+24\,c^6\right)}{b^4\,d^8\,{\ln\left(F\right)}^4}-\frac{12\,c\,x^5\,\left(b\,\ln\left(F\right)-21\,c^3\right)}{b^4\,d^5\,{\ln\left(F\right)}^4}-\frac{6\,c^2\,x^4\,\left(5\,b\,\ln\left(F\right)-42\,c^3\right)}{b^4\,d^6\,{\ln\left(F\right)}^4}\right)}{x^9+\frac{c^9}{d^9}+\frac{9\,c\,x^8}{d}+\frac{9\,c^8\,x}{d^8}+\frac{36\,c^2\,x^7}{d^2}+\frac{84\,c^3\,x^6}{d^3}+\frac{126\,c^4\,x^5}{d^4}+\frac{126\,c^5\,x^4}{d^5}+\frac{84\,c^6\,x^3}{d^6}+\frac{36\,c^7\,x^2}{d^7}}","Not used",1,"(F^a*F^(b/(c^3 + d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x))*((2*x^9)/(b^4*d*log(F)^4) - (b^3*log(F)^3 - 6*c^9 + 6*b*c^6*log(F) - 3*b^2*c^3*log(F)^2)/(3*b^4*d^10*log(F)^4) + (18*c*x^8)/(b^4*d^2*log(F)^4) + (72*c^2*x^7)/(b^4*d^3*log(F)^4) + (x^3*(b^2*log(F)^2 + 168*c^6 - 40*b*c^3*log(F)))/(b^4*d^7*log(F)^4) - (2*x^6*(b*log(F) - 84*c^3))/(b^4*d^4*log(F)^4) + (3*c^2*x*(b^2*log(F)^2 + 6*c^6 - 4*b*c^3*log(F)))/(b^4*d^9*log(F)^4) + (3*c*x^2*(b^2*log(F)^2 + 24*c^6 - 10*b*c^3*log(F)))/(b^4*d^8*log(F)^4) - (12*c*x^5*(b*log(F) - 21*c^3))/(b^4*d^5*log(F)^4) - (6*c^2*x^4*(5*b*log(F) - 42*c^3))/(b^4*d^6*log(F)^4)))/(x^9 + c^9/d^9 + (9*c*x^8)/d + (9*c^8*x)/d^8 + (36*c^2*x^7)/d^2 + (84*c^3*x^6)/d^3 + (126*c^4*x^5)/d^4 + (126*c^5*x^4)/d^5 + (84*c^6*x^3)/d^6 + (36*c^7*x^2)/d^7)","B"
351,1,620,96,5.154818,"\text{Not used}","int(F^(a + b/(c + d*x)^3)/(c + d*x)^16,x)","-\frac{F^a\,F^{\frac{b}{c^3+3\,c^2\,d\,x+3\,c\,d^2\,x^2+d^3\,x^3}}\,\left(\frac{b^4\,{\ln\left(F\right)}^4-4\,b^3\,c^3\,{\ln\left(F\right)}^3+12\,b^2\,c^6\,{\ln\left(F\right)}^2-24\,b\,c^9\,\ln\left(F\right)+24\,c^{12}}{3\,b^5\,d^{13}\,{\ln\left(F\right)}^5}+\frac{8\,x^{12}}{b^5\,d\,{\ln\left(F\right)}^5}+\frac{96\,c\,x^{11}}{b^5\,d^2\,{\ln\left(F\right)}^5}+\frac{528\,c^2\,x^{10}}{b^5\,d^3\,{\ln\left(F\right)}^5}-\frac{4\,x^3\,\left(b^3\,{\ln\left(F\right)}^3-60\,b^2\,c^3\,{\ln\left(F\right)}^2+504\,b\,c^6\,\ln\left(F\right)-1320\,c^9\right)}{3\,b^5\,d^{10}\,{\ln\left(F\right)}^5}+\frac{4\,x^6\,\left(b^2\,{\ln\left(F\right)}^2-168\,b\,c^3\,\ln\left(F\right)+1848\,c^6\right)}{b^5\,d^7\,{\ln\left(F\right)}^5}-\frac{8\,x^9\,\left(b\,\ln\left(F\right)-220\,c^3\right)}{b^5\,d^4\,{\ln\left(F\right)}^5}-\frac{4\,c^2\,x\,\left(b^3\,{\ln\left(F\right)}^3-6\,b^2\,c^3\,{\ln\left(F\right)}^2+18\,b\,c^6\,\ln\left(F\right)-24\,c^9\right)}{b^5\,d^{12}\,{\ln\left(F\right)}^5}-\frac{4\,c\,x^2\,\left(b^3\,{\ln\left(F\right)}^3-15\,b^2\,c^3\,{\ln\left(F\right)}^2+72\,b\,c^6\,\ln\left(F\right)-132\,c^9\right)}{b^5\,d^{11}\,{\ln\left(F\right)}^5}+\frac{24\,c\,x^5\,\left(b^2\,{\ln\left(F\right)}^2-42\,b\,c^3\,\ln\left(F\right)+264\,c^6\right)}{b^5\,d^8\,{\ln\left(F\right)}^5}-\frac{72\,c\,x^8\,\left(b\,\ln\left(F\right)-55\,c^3\right)}{b^5\,d^5\,{\ln\left(F\right)}^5}+\frac{12\,c^2\,x^4\,\left(5\,b^2\,{\ln\left(F\right)}^2-84\,b\,c^3\,\ln\left(F\right)+330\,c^6\right)}{b^5\,d^9\,{\ln\left(F\right)}^5}-\frac{288\,c^2\,x^7\,\left(b\,\ln\left(F\right)-22\,c^3\right)}{b^5\,d^6\,{\ln\left(F\right)}^5}\right)}{x^{12}+\frac{c^{12}}{d^{12}}+\frac{12\,c\,x^{11}}{d}+\frac{12\,c^{11}\,x}{d^{11}}+\frac{66\,c^2\,x^{10}}{d^2}+\frac{220\,c^3\,x^9}{d^3}+\frac{495\,c^4\,x^8}{d^4}+\frac{792\,c^5\,x^7}{d^5}+\frac{924\,c^6\,x^6}{d^6}+\frac{792\,c^7\,x^5}{d^7}+\frac{495\,c^8\,x^4}{d^8}+\frac{220\,c^9\,x^3}{d^9}+\frac{66\,c^{10}\,x^2}{d^{10}}}","Not used",1,"-(F^a*F^(b/(c^3 + d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x))*((b^4*log(F)^4 + 24*c^12 - 24*b*c^9*log(F) - 4*b^3*c^3*log(F)^3 + 12*b^2*c^6*log(F)^2)/(3*b^5*d^13*log(F)^5) + (8*x^12)/(b^5*d*log(F)^5) + (96*c*x^11)/(b^5*d^2*log(F)^5) + (528*c^2*x^10)/(b^5*d^3*log(F)^5) - (4*x^3*(b^3*log(F)^3 - 1320*c^9 + 504*b*c^6*log(F) - 60*b^2*c^3*log(F)^2))/(3*b^5*d^10*log(F)^5) + (4*x^6*(b^2*log(F)^2 + 1848*c^6 - 168*b*c^3*log(F)))/(b^5*d^7*log(F)^5) - (8*x^9*(b*log(F) - 220*c^3))/(b^5*d^4*log(F)^5) - (4*c^2*x*(b^3*log(F)^3 - 24*c^9 + 18*b*c^6*log(F) - 6*b^2*c^3*log(F)^2))/(b^5*d^12*log(F)^5) - (4*c*x^2*(b^3*log(F)^3 - 132*c^9 + 72*b*c^6*log(F) - 15*b^2*c^3*log(F)^2))/(b^5*d^11*log(F)^5) + (24*c*x^5*(b^2*log(F)^2 + 264*c^6 - 42*b*c^3*log(F)))/(b^5*d^8*log(F)^5) - (72*c*x^8*(b*log(F) - 55*c^3))/(b^5*d^5*log(F)^5) + (12*c^2*x^4*(5*b^2*log(F)^2 + 330*c^6 - 84*b*c^3*log(F)))/(b^5*d^9*log(F)^5) - (288*c^2*x^7*(b*log(F) - 22*c^3))/(b^5*d^6*log(F)^5)))/(x^12 + c^12/d^12 + (12*c*x^11)/d + (12*c^11*x)/d^11 + (66*c^2*x^10)/d^2 + (220*c^3*x^9)/d^3 + (495*c^4*x^8)/d^4 + (792*c^5*x^7)/d^5 + (924*c^6*x^6)/d^6 + (792*c^7*x^5)/d^7 + (495*c^8*x^4)/d^8 + (220*c^9*x^3)/d^9 + (66*c^10*x^2)/d^10)","B"
352,1,854,113,5.772128,"\text{Not used}","int(F^(a + b/(c + d*x)^3)/(c + d*x)^19,x)","\frac{F^a\,F^{\frac{b}{c^3+3\,c^2\,d\,x+3\,c\,d^2\,x^2+d^3\,x^3}}\,\left(\frac{40\,x^{15}}{b^6\,d\,{\ln\left(F\right)}^6}-\frac{b^5\,{\ln\left(F\right)}^5-5\,b^4\,c^3\,{\ln\left(F\right)}^4+20\,b^3\,c^6\,{\ln\left(F\right)}^3-60\,b^2\,c^9\,{\ln\left(F\right)}^2+120\,b\,c^{12}\,\ln\left(F\right)-120\,c^{15}}{3\,b^6\,d^{16}\,{\ln\left(F\right)}^6}+\frac{600\,c\,x^{14}}{b^6\,d^2\,{\ln\left(F\right)}^6}+\frac{4200\,c^2\,x^{13}}{b^6\,d^3\,{\ln\left(F\right)}^6}+\frac{5\,x^3\,\left(b^4\,{\ln\left(F\right)}^4-80\,b^3\,c^3\,{\ln\left(F\right)}^3+1008\,b^2\,c^6\,{\ln\left(F\right)}^2-5280\,b\,c^9\,\ln\left(F\right)+10920\,c^{12}\right)}{3\,b^6\,d^{13}\,{\ln\left(F\right)}^6}-\frac{20\,x^6\,\left(b^3\,{\ln\left(F\right)}^3-252\,b^2\,c^3\,{\ln\left(F\right)}^2+5544\,b\,c^6\,\ln\left(F\right)-30030\,c^9\right)}{3\,b^6\,d^{10}\,{\ln\left(F\right)}^6}+\frac{20\,x^9\,\left(b^2\,{\ln\left(F\right)}^2-440\,b\,c^3\,\ln\left(F\right)+10010\,c^6\right)}{b^6\,d^7\,{\ln\left(F\right)}^6}-\frac{40\,x^{12}\,\left(b\,\ln\left(F\right)-455\,c^3\right)}{b^6\,d^4\,{\ln\left(F\right)}^6}+\frac{5\,c^2\,x\,\left(b^4\,{\ln\left(F\right)}^4-8\,b^3\,c^3\,{\ln\left(F\right)}^3+36\,b^2\,c^6\,{\ln\left(F\right)}^2-96\,b\,c^9\,\ln\left(F\right)+120\,c^{12}\right)}{b^6\,d^{15}\,{\ln\left(F\right)}^6}+\frac{5\,c\,x^2\,\left(b^4\,{\ln\left(F\right)}^4-20\,b^3\,c^3\,{\ln\left(F\right)}^3+144\,b^2\,c^6\,{\ln\left(F\right)}^2-528\,b\,c^9\,\ln\left(F\right)+840\,c^{12}\right)}{b^6\,d^{14}\,{\ln\left(F\right)}^6}-\frac{40\,c\,x^5\,\left(b^3\,{\ln\left(F\right)}^3-63\,b^2\,c^3\,{\ln\left(F\right)}^2+792\,b\,c^6\,\ln\left(F\right)-3003\,c^9\right)}{b^6\,d^{11}\,{\ln\left(F\right)}^6}+\frac{180\,c\,x^8\,\left(b^2\,{\ln\left(F\right)}^2-110\,b\,c^3\,\ln\left(F\right)+1430\,c^6\right)}{b^6\,d^8\,{\ln\left(F\right)}^6}-\frac{120\,c\,x^{11}\,\left(4\,b\,\ln\left(F\right)-455\,c^3\right)}{b^6\,d^5\,{\ln\left(F\right)}^6}-\frac{20\,c^2\,x^4\,\left(5\,b^3\,{\ln\left(F\right)}^3-126\,b^2\,c^3\,{\ln\left(F\right)}^2+990\,b\,c^6\,\ln\left(F\right)-2730\,c^9\right)}{b^6\,d^{12}\,{\ln\left(F\right)}^6}+\frac{360\,c^2\,x^7\,\left(2\,b^2\,{\ln\left(F\right)}^2-88\,b\,c^3\,\ln\left(F\right)+715\,c^6\right)}{b^6\,d^9\,{\ln\left(F\right)}^6}-\frac{1320\,c^2\,x^{10}\,\left(2\,b\,\ln\left(F\right)-91\,c^3\right)}{b^6\,d^6\,{\ln\left(F\right)}^6}\right)}{x^{15}+\frac{c^{15}}{d^{15}}+\frac{15\,c\,x^{14}}{d}+\frac{15\,c^{14}\,x}{d^{14}}+\frac{105\,c^2\,x^{13}}{d^2}+\frac{455\,c^3\,x^{12}}{d^3}+\frac{1365\,c^4\,x^{11}}{d^4}+\frac{3003\,c^5\,x^{10}}{d^5}+\frac{5005\,c^6\,x^9}{d^6}+\frac{6435\,c^7\,x^8}{d^7}+\frac{6435\,c^8\,x^7}{d^8}+\frac{5005\,c^9\,x^6}{d^9}+\frac{3003\,c^{10}\,x^5}{d^{10}}+\frac{1365\,c^{11}\,x^4}{d^{11}}+\frac{455\,c^{12}\,x^3}{d^{12}}+\frac{105\,c^{13}\,x^2}{d^{13}}}","Not used",1,"(F^a*F^(b/(c^3 + d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x))*((40*x^15)/(b^6*d*log(F)^6) - (b^5*log(F)^5 - 120*c^15 + 120*b*c^12*log(F) - 5*b^4*c^3*log(F)^4 + 20*b^3*c^6*log(F)^3 - 60*b^2*c^9*log(F)^2)/(3*b^6*d^16*log(F)^6) + (600*c*x^14)/(b^6*d^2*log(F)^6) + (4200*c^2*x^13)/(b^6*d^3*log(F)^6) + (5*x^3*(b^4*log(F)^4 + 10920*c^12 - 5280*b*c^9*log(F) - 80*b^3*c^3*log(F)^3 + 1008*b^2*c^6*log(F)^2))/(3*b^6*d^13*log(F)^6) - (20*x^6*(b^3*log(F)^3 - 30030*c^9 + 5544*b*c^6*log(F) - 252*b^2*c^3*log(F)^2))/(3*b^6*d^10*log(F)^6) + (20*x^9*(b^2*log(F)^2 + 10010*c^6 - 440*b*c^3*log(F)))/(b^6*d^7*log(F)^6) - (40*x^12*(b*log(F) - 455*c^3))/(b^6*d^4*log(F)^6) + (5*c^2*x*(b^4*log(F)^4 + 120*c^12 - 96*b*c^9*log(F) - 8*b^3*c^3*log(F)^3 + 36*b^2*c^6*log(F)^2))/(b^6*d^15*log(F)^6) + (5*c*x^2*(b^4*log(F)^4 + 840*c^12 - 528*b*c^9*log(F) - 20*b^3*c^3*log(F)^3 + 144*b^2*c^6*log(F)^2))/(b^6*d^14*log(F)^6) - (40*c*x^5*(b^3*log(F)^3 - 3003*c^9 + 792*b*c^6*log(F) - 63*b^2*c^3*log(F)^2))/(b^6*d^11*log(F)^6) + (180*c*x^8*(b^2*log(F)^2 + 1430*c^6 - 110*b*c^3*log(F)))/(b^6*d^8*log(F)^6) - (120*c*x^11*(4*b*log(F) - 455*c^3))/(b^6*d^5*log(F)^6) - (20*c^2*x^4*(5*b^3*log(F)^3 - 2730*c^9 + 990*b*c^6*log(F) - 126*b^2*c^3*log(F)^2))/(b^6*d^12*log(F)^6) + (360*c^2*x^7*(2*b^2*log(F)^2 + 715*c^6 - 88*b*c^3*log(F)))/(b^6*d^9*log(F)^6) - (1320*c^2*x^10*(2*b*log(F) - 91*c^3))/(b^6*d^6*log(F)^6)))/(x^15 + c^15/d^15 + (15*c*x^14)/d + (15*c^14*x)/d^14 + (105*c^2*x^13)/d^2 + (455*c^3*x^12)/d^3 + (1365*c^4*x^11)/d^4 + (3003*c^5*x^10)/d^5 + (5005*c^6*x^9)/d^6 + (6435*c^7*x^8)/d^7 + (6435*c^8*x^7)/d^8 + (5005*c^9*x^6)/d^9 + (3003*c^10*x^5)/d^10 + (1365*c^11*x^4)/d^11 + (455*c^12*x^3)/d^12 + (105*c^13*x^2)/d^13)","B"
353,1,128,49,3.924157,"\text{Not used}","int(F^(a + b/(c + d*x)^3)*(c + d*x)^3,x)","\frac{F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^3}}\,{\left(c+d\,x\right)}^4}{4\,d}-\frac{3\,F^a\,\Gamma \left(\frac{2}{3}\right)\,{\left(c+d\,x\right)}^4\,{\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^3}\right)}^{4/3}}{4\,d}+\frac{3\,F^a\,\Gamma \left(\frac{2}{3},-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^3}\right)\,{\left(c+d\,x\right)}^4\,{\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^3}\right)}^{4/3}}{4\,d}+\frac{3\,F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^3}}\,b\,\ln\left(F\right)\,\left(c+d\,x\right)}{4\,d}","Not used",1,"(F^a*F^(b/(c + d*x)^3)*(c + d*x)^4)/(4*d) - (3*F^a*gamma(2/3)*(c + d*x)^4*(-(b*log(F))/(c + d*x)^3)^(4/3))/(4*d) + (3*F^a*igamma(2/3, -(b*log(F))/(c + d*x)^3)*(c + d*x)^4*(-(b*log(F))/(c + d*x)^3)^(4/3))/(4*d) + (3*F^a*F^(b/(c + d*x)^3)*b*log(F)*(c + d*x))/(4*d)","B"
354,1,107,49,4.992867,"\text{Not used}","int(F^(a + b/(c + d*x)^3)*(c + d*x),x)","\frac{F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^3}}\,{\left(c+d\,x\right)}^2}{2\,d}-\frac{F^a\,\Gamma \left(\frac{1}{3},-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^3}\right)\,{\left(c+d\,x\right)}^2\,{\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^3}\right)}^{2/3}}{2\,d}+\frac{\pi \,\sqrt{3}\,F^a\,{\left(c+d\,x\right)}^2\,{\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^3}\right)}^{2/3}}{3\,d\,\Gamma \left(\frac{2}{3}\right)}","Not used",1,"(F^a*F^(b/(c + d*x)^3)*(c + d*x)^2)/(2*d) - (F^a*igamma(1/3, -(b*log(F))/(c + d*x)^3)*(c + d*x)^2*(-(b*log(F))/(c + d*x)^3)^(2/3))/(2*d) + (3^(1/2)*F^a*pi*(c + d*x)^2*(-(b*log(F))/(c + d*x)^3)^(2/3))/(3*d*gamma(2/3))","B"
355,1,71,47,3.934658,"\text{Not used}","int(F^(a + b/(c + d*x)^3),x)","\frac{F^a\,\left(c+d\,x\right)\,\left(F^{\frac{b}{{\left(c+d\,x\right)}^3}}-\Gamma \left(\frac{2}{3},-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^3}\right)\,{\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^3}\right)}^{1/3}+\Gamma \left(\frac{2}{3}\right)\,{\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^3}\right)}^{1/3}\right)}{d}","Not used",1,"(F^a*(c + d*x)*(F^(b/(c + d*x)^3) - igamma(2/3, -(b*log(F))/(c + d*x)^3)*(-(b*log(F))/(c + d*x)^3)^(1/3) + gamma(2/3)*(-(b*log(F))/(c + d*x)^3)^(1/3)))/d","B"
356,1,58,49,3.553976,"\text{Not used}","int(F^(a + b/(c + d*x)^3)/(c + d*x)^2,x)","\frac{F^a\,\left(3\,\Gamma \left(\frac{2}{3}\right)\,\Gamma \left(\frac{1}{3},-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^3}\right)-2\,\pi \,\sqrt{3}\right)}{9\,d\,\Gamma \left(\frac{2}{3}\right)\,\left(c+d\,x\right)\,{\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^3}\right)}^{1/3}}","Not used",1,"(F^a*(3*gamma(2/3)*igamma(1/3, -(b*log(F))/(c + d*x)^3) - 2*3^(1/2)*pi))/(9*d*gamma(2/3)*(c + d*x)*(-(b*log(F))/(c + d*x)^3)^(1/3))","B"
357,1,48,49,3.778309,"\text{Not used}","int(F^(a + b/(c + d*x)^3)/(c + d*x)^3,x)","-\frac{F^a\,\left(\Gamma \left(\frac{2}{3}\right)-\Gamma \left(\frac{2}{3},-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^3}\right)\right)}{3\,d\,{\left(c+d\,x\right)}^2\,{\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^3}\right)}^{2/3}}","Not used",1,"-(F^a*(gamma(2/3) - igamma(2/3, -(b*log(F))/(c + d*x)^3)))/(3*d*(c + d*x)^2*(-(b*log(F))/(c + d*x)^3)^(2/3))","B"
358,1,114,49,4.133726,"\text{Not used}","int(F^(a + b/(c + d*x)^3)/(c + d*x)^5,x)","\frac{F^a\,\Gamma \left(\frac{1}{3},-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^3}\right)}{9\,d\,{\left(c+d\,x\right)}^4\,{\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^3}\right)}^{4/3}}-\frac{F^a\,F^{\frac{b}{{\left(c+d\,x\right)}^3}}}{3\,b\,d\,\ln\left(F\right)\,\left(c+d\,x\right)}-\frac{2\,\pi \,\sqrt{3}\,F^a}{27\,d\,\Gamma \left(\frac{2}{3}\right)\,{\left(c+d\,x\right)}^4\,{\left(-\frac{b\,\ln\left(F\right)}{{\left(c+d\,x\right)}^3}\right)}^{4/3}}","Not used",1,"(F^a*igamma(1/3, -(b*log(F))/(c + d*x)^3))/(9*d*(c + d*x)^4*(-(b*log(F))/(c + d*x)^3)^(4/3)) - (F^a*F^(b/(c + d*x)^3))/(3*b*d*log(F)*(c + d*x)) - (2*3^(1/2)*F^a*pi)/(27*d*gamma(2/3)*(c + d*x)^4*(-(b*log(F))/(c + d*x)^3)^(4/3))","B"
359,1,93,61,3.983521,"\text{Not used}","int(F^(a + b*(c + d*x)^n)*(c + d*x)^m,x)","\frac{F^{a+\frac{b\,{\left(c+d\,x\right)}^n}{2}}\,{\left(c+d\,x\right)}^{m+1}\,{\mathrm{M}}_{-\frac{\frac{m}{2}-\frac{n}{2}+\frac{1}{2}}{n},\frac{\frac{m}{2}+\frac{1}{2}}{n}}\left(b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^n\right)}{d\,\left(m+1\right)\,{\left(b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^n\right)}^{\frac{m}{2\,n}+\frac{1}{2\,n}+\frac{1}{2}}}","Not used",1,"(F^(a + (b*(c + d*x)^n)/2)*(c + d*x)^(m + 1)*whittakerM(-(m/2 - n/2 + 1/2)/n, (m/2 + 1/2)/n, b*log(F)*(c + d*x)^n))/(d*(m + 1)*(b*log(F)*(c + d*x)^n)^(m/(2*n) + 1/(2*n) + 1/2))","B"
360,1,73,54,3.856596,"\text{Not used}","int(F^(a + b*(c + d*x)^n)*(c + d*x)^3,x)","\frac{F^a\,{\mathrm{e}}^{\frac{b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^n}{2}}\,{\left(c+d\,x\right)}^4\,{\mathrm{M}}_{\frac{1}{2}-\frac{2}{n},\frac{2}{n}}\left(b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^n\right)}{4\,d\,{\left(b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^n\right)}^{\frac{2}{n}+\frac{1}{2}}}","Not used",1,"(F^a*exp((b*log(F)*(c + d*x)^n)/2)*(c + d*x)^4*whittakerM(1/2 - 2/n, 2/n, b*log(F)*(c + d*x)^n))/(4*d*(b*log(F)*(c + d*x)^n)^(2/n + 1/2))","B"
361,1,73,54,3.896665,"\text{Not used}","int(F^(a + b*(c + d*x)^n)*(c + d*x)^2,x)","\frac{F^a\,{\mathrm{e}}^{\frac{b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^n}{2}}\,{\left(c+d\,x\right)}^3\,{\mathrm{M}}_{\frac{1}{2}-\frac{3}{2\,n},\frac{3}{2\,n}}\left(b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^n\right)}{3\,d\,{\left(b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^n\right)}^{\frac{3}{2\,n}+\frac{1}{2}}}","Not used",1,"(F^a*exp((b*log(F)*(c + d*x)^n)/2)*(c + d*x)^3*whittakerM(1/2 - 3/(2*n), 3/(2*n), b*log(F)*(c + d*x)^n))/(3*d*(b*log(F)*(c + d*x)^n)^(3/(2*n) + 1/2))","B"
362,0,-1,54,0.000000,"\text{Not used}","int(F^(a + b*(c + d*x)^n)*(c + d*x),x)","\int F^{a+b\,{\left(c+d\,x\right)}^n}\,\left(c+d\,x\right) \,d x","Not used",1,"int(F^(a + b*(c + d*x)^n)*(c + d*x), x)","F"
363,0,-1,50,0.000000,"\text{Not used}","int(F^(a + b*(c + d*x)^n),x)","\int F^{a+b\,{\left(c+d\,x\right)}^n} \,d x","Not used",1,"int(F^(a + b*(c + d*x)^n), x)","F"
364,0,-1,22,0.000000,"\text{Not used}","int(F^(a + b*(c + d*x)^n)/(c + d*x),x)","\int \frac{F^a\,F^{b\,{\left(c+d\,x\right)}^n}}{c+d\,x} \,d x","Not used",1,"int((F^a*F^(b*(c + d*x)^n))/(c + d*x), x)","F"
365,1,71,52,3.703414,"\text{Not used}","int(F^(a + b*(c + d*x)^n)/(c + d*x)^2,x)","-\frac{F^a\,{\mathrm{e}}^{\frac{b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^n}{2}}\,{\left(b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^n\right)}^{\frac{1}{2\,n}-\frac{1}{2}}\,{\mathrm{M}}_{\frac{1}{2\,n}+\frac{1}{2},-\frac{1}{2\,n}}\left(b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^n\right)}{d\,\left(c+d\,x\right)}","Not used",1,"-(F^a*exp((b*log(F)*(c + d*x)^n)/2)*(b*log(F)*(c + d*x)^n)^(1/(2*n) - 1/2)*whittakerM(1/(2*n) + 1/2, -1/(2*n), b*log(F)*(c + d*x)^n))/(d*(c + d*x))","B"
366,1,67,54,3.715747,"\text{Not used}","int(F^(a + b*(c + d*x)^n)/(c + d*x)^3,x)","-\frac{F^a\,{\mathrm{e}}^{\frac{b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^n}{2}}\,{\mathrm{M}}_{\frac{1}{n}+\frac{1}{2},-\frac{1}{n}}\left(b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^n\right)\,{\left(b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^n\right)}^{\frac{1}{n}-\frac{1}{2}}}{2\,d\,{\left(c+d\,x\right)}^2}","Not used",1,"-(F^a*exp((b*log(F)*(c + d*x)^n)/2)*whittakerM(1/n + 1/2, -1/n, b*log(F)*(c + d*x)^n)*(b*log(F)*(c + d*x)^n)^(1/n - 1/2))/(2*d*(c + d*x)^2)","B"
367,1,71,54,3.618585,"\text{Not used}","int(F^(a + b*(c + d*x)^n)/(c + d*x)^4,x)","-\frac{F^a\,{\mathrm{e}}^{\frac{b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^n}{2}}\,{\left(b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^n\right)}^{\frac{3}{2\,n}-\frac{1}{2}}\,{\mathrm{M}}_{\frac{3}{2\,n}+\frac{1}{2},-\frac{3}{2\,n}}\left(b\,\ln\left(F\right)\,{\left(c+d\,x\right)}^n\right)}{3\,d\,{\left(c+d\,x\right)}^3}","Not used",1,"-(F^a*exp((b*log(F)*(c + d*x)^n)/2)*(b*log(F)*(c + d*x)^n)^(3/(2*n) - 1/2)*whittakerM(3/(2*n) + 1/2, -3/(2*n), b*log(F)*(c + d*x)^n))/(3*d*(c + d*x)^3)","B"
368,0,-1,114,0.000000,"\text{Not used}","int(F^(a + b*(c + d*x)^n)*(c + d*x)^(6*n - 1),x)","\int F^{a+b\,{\left(c+d\,x\right)}^n}\,{\left(c+d\,x\right)}^{6\,n-1} \,d x","Not used",1,"int(F^(a + b*(c + d*x)^n)*(c + d*x)^(6*n - 1), x)","F"
369,0,-1,94,0.000000,"\text{Not used}","int(F^(a + b*(c + d*x)^n)*(c + d*x)^(5*n - 1),x)","\int F^{a+b\,{\left(c+d\,x\right)}^n}\,{\left(c+d\,x\right)}^{5\,n-1} \,d x","Not used",1,"int(F^(a + b*(c + d*x)^n)*(c + d*x)^(5*n - 1), x)","F"
370,0,-1,137,0.000000,"\text{Not used}","int(F^(a + b*(c + d*x)^n)*(c + d*x)^(4*n - 1),x)","\int F^{a+b\,{\left(c+d\,x\right)}^n}\,{\left(c+d\,x\right)}^{4\,n-1} \,d x","Not used",1,"int(F^(a + b*(c + d*x)^n)*(c + d*x)^(4*n - 1), x)","F"
371,0,-1,100,0.000000,"\text{Not used}","int(F^(a + b*(c + d*x)^n)*(c + d*x)^(3*n - 1),x)","\int F^{a+b\,{\left(c+d\,x\right)}^n}\,{\left(c+d\,x\right)}^{3\,n-1} \,d x","Not used",1,"int(F^(a + b*(c + d*x)^n)*(c + d*x)^(3*n - 1), x)","F"
372,0,-1,63,0.000000,"\text{Not used}","int(F^(a + b*(c + d*x)^n)*(c + d*x)^(2*n - 1),x)","\int F^{a+b\,{\left(c+d\,x\right)}^n}\,{\left(c+d\,x\right)}^{2\,n-1} \,d x","Not used",1,"int(F^(a + b*(c + d*x)^n)*(c + d*x)^(2*n - 1), x)","F"
373,1,27,27,3.679938,"\text{Not used}","int(F^(a + b*(c + d*x)^n)*(c + d*x)^(n - 1),x)","\frac{F^{a+b\,{\left(c+d\,x\right)}^n}}{b\,d\,n\,\ln\left(F\right)}","Not used",1,"F^(a + b*(c + d*x)^n)/(b*d*n*log(F))","B"
374,0,-1,22,0.000000,"\text{Not used}","int(F^(a + b*(c + d*x)^n)/(c + d*x),x)","\int \frac{F^a\,F^{b\,{\left(c+d\,x\right)}^n}}{c+d\,x} \,d x","Not used",1,"int((F^a*F^(b*(c + d*x)^n))/(c + d*x), x)","F"
375,0,-1,56,0.000000,"\text{Not used}","int(F^(a + b*(c + d*x)^n)/(c + d*x)^(n + 1),x)","\int \frac{F^{a+b\,{\left(c+d\,x\right)}^n}}{{\left(c+d\,x\right)}^{n+1}} \,d x","Not used",1,"int(F^(a + b*(c + d*x)^n)/(c + d*x)^(n + 1), x)","F"
376,0,-1,100,0.000000,"\text{Not used}","int(F^(a + b*(c + d*x)^n)/(c + d*x)^(2*n + 1),x)","\int \frac{F^{a+b\,{\left(c+d\,x\right)}^n}}{{\left(c+d\,x\right)}^{2\,n+1}} \,d x","Not used",1,"int(F^(a + b*(c + d*x)^n)/(c + d*x)^(2*n + 1), x)","F"
377,0,-1,139,0.000000,"\text{Not used}","int(F^(a + b*(c + d*x)^n)/(c + d*x)^(3*n + 1),x)","\int \frac{F^{a+b\,{\left(c+d\,x\right)}^n}}{{\left(c+d\,x\right)}^{3\,n+1}} \,d x","Not used",1,"int(F^(a + b*(c + d*x)^n)/(c + d*x)^(3*n + 1), x)","F"
378,0,-1,32,0.000000,"\text{Not used}","int(F^(a + b*(c + d*x)^n)/(c + d*x)^(4*n + 1),x)","\int \frac{F^{a+b\,{\left(c+d\,x\right)}^n}}{{\left(c+d\,x\right)}^{4\,n+1}} \,d x","Not used",1,"int(F^(a + b*(c + d*x)^n)/(c + d*x)^(4*n + 1), x)","F"
379,0,-1,31,0.000000,"\text{Not used}","int(F^(a + b*(c + d*x)^n)/(c + d*x)^(5*n + 1),x)","\int \frac{F^{a+b\,{\left(c+d\,x\right)}^n}}{{\left(c+d\,x\right)}^{5\,n+1}} \,d x","Not used",1,"int(F^(a + b*(c + d*x)^n)/(c + d*x)^(5*n + 1), x)","F"
380,1,39,47,3.946958,"\text{Not used}","int(F^(c*(a + b*x)^n)*(a + b*x)^(n/2 - 1),x)","-\frac{\sqrt{\pi }\,\mathrm{erf}\left(\sqrt{c}\,\sqrt{\ln\left(F\right)}\,{\left(a+b\,x\right)}^{n/2}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{b\,\sqrt{c}\,n\,\sqrt{\ln\left(F\right)}}","Not used",1,"-(pi^(1/2)*erf(c^(1/2)*log(F)^(1/2)*(a + b*x)^(n/2)*1i)*1i)/(b*c^(1/2)*n*log(F)^(1/2))","B"
381,1,35,47,4.044487,"\text{Not used}","int((a + b*x)^(n/2 - 1)/F^(c*(a + b*x)^n),x)","\frac{\sqrt{\pi }\,\mathrm{erf}\left(\sqrt{c}\,\sqrt{\ln\left(F\right)}\,{\left(a+b\,x\right)}^{n/2}\right)}{b\,\sqrt{c}\,n\,\sqrt{\ln\left(F\right)}}","Not used",1,"(pi^(1/2)*erf(c^(1/2)*log(F)^(1/2)*(a + b*x)^(n/2)))/(b*c^(1/2)*n*log(F)^(1/2))","B"
382,1,716,518,4.111517,"\text{Not used}","int(F^(a + b*(c + d*x)^2)*(e + f*x)^5,x)","\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,\left(f^5+\frac{{\ln\left(F\right)}^2\,\left(2\,F^a\,b^2\,c^4\,f^5+10\,F^a\,b^2\,d^4\,e^4\,f+20\,F^a\,b^2\,c^2\,d^2\,e^2\,f^3-10\,F^a\,b^2\,c^3\,d\,e\,f^4-20\,F^a\,b^2\,c\,d^3\,e^3\,f^2\right)}{4\,F^a}-\frac{\ln\left(F\right)\,\left(9\,F^a\,b\,c^2\,f^5+20\,F^a\,b\,d^2\,e^2\,f^3-25\,F^a\,b\,c\,d\,e\,f^4\right)}{4\,F^a}\right)}{b^3\,d^6\,{\ln\left(F\right)}^3}-\mathrm{erfi}\left(\frac{b\,x\,\ln\left(F\right)\,d^2+b\,c\,\ln\left(F\right)\,d}{\sqrt{b\,d^2\,\ln\left(F\right)}}\right)\,\left(\frac{\frac{F^a\,\sqrt{\pi }\,\left(15\,c\,f^5-15\,d\,e\,f^4\right)}{8\,\sqrt{b\,d^2\,\ln\left(F\right)}}-\frac{F^a\,\sqrt{\pi }\,\ln\left(F\right)\,\left(20\,b\,c^3\,f^5-60\,b\,c^2\,d\,e\,f^4+60\,b\,c\,d^2\,e^2\,f^3-20\,b\,d^3\,e^3\,f^2\right)}{8\,\sqrt{b\,d^2\,\ln\left(F\right)}}}{b^2\,d^5\,{\ln\left(F\right)}^2}+\frac{F^a\,\sqrt{\pi }\,\left(4\,b^2\,c^5\,f^5-20\,b^2\,c^4\,d\,e\,f^4+40\,b^2\,c^3\,d^2\,e^2\,f^3-40\,b^2\,c^2\,d^3\,e^3\,f^2+20\,b^2\,c\,d^4\,e^4\,f-4\,b^2\,d^5\,e^5\right)}{8\,b^2\,d^5\,\sqrt{b\,d^2\,\ln\left(F\right)}}\right)-\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,x\,\left(\ln\left(F\right)\,\left(\frac{b\,c^3\,f^5}{2}-\frac{5\,b\,c^2\,d\,e\,f^4}{2}+5\,b\,c\,d^2\,e^2\,f^3-5\,b\,d^3\,e^3\,f^2\right)-\frac{7\,c\,f^5}{4}+\frac{15\,d\,e\,f^4}{4}\right)}{b^2\,d^5\,{\ln\left(F\right)}^2}+\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,f^5\,x^4}{2\,b\,d^2\,\ln\left(F\right)}-\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,x^2\,\left(f^5-\frac{b\,f^3\,\left(\ln\left(F\right)\,c^2\,f^2-5\,\ln\left(F\right)\,c\,d\,e\,f+10\,\ln\left(F\right)\,d^2\,e^2\right)}{2}\right)}{b^2\,d^4\,{\ln\left(F\right)}^2}-\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,f^4\,x^3\,\left(c\,f-5\,d\,e\right)}{2\,b\,d^3\,\ln\left(F\right)}","Not used",1,"(F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*(f^5 + (log(F)^2*(2*F^a*b^2*c^4*f^5 + 10*F^a*b^2*d^4*e^4*f + 20*F^a*b^2*c^2*d^2*e^2*f^3 - 10*F^a*b^2*c^3*d*e*f^4 - 20*F^a*b^2*c*d^3*e^3*f^2))/(4*F^a) - (log(F)*(9*F^a*b*c^2*f^5 + 20*F^a*b*d^2*e^2*f^3 - 25*F^a*b*c*d*e*f^4))/(4*F^a)))/(b^3*d^6*log(F)^3) - erfi((b*c*d*log(F) + b*d^2*x*log(F))/(b*d^2*log(F))^(1/2))*(((F^a*pi^(1/2)*(15*c*f^5 - 15*d*e*f^4))/(8*(b*d^2*log(F))^(1/2)) - (F^a*pi^(1/2)*log(F)*(20*b*c^3*f^5 - 20*b*d^3*e^3*f^2 - 60*b*c^2*d*e*f^4 + 60*b*c*d^2*e^2*f^3))/(8*(b*d^2*log(F))^(1/2)))/(b^2*d^5*log(F)^2) + (F^a*pi^(1/2)*(4*b^2*c^5*f^5 - 4*b^2*d^5*e^5 - 40*b^2*c^2*d^3*e^3*f^2 + 40*b^2*c^3*d^2*e^2*f^3 + 20*b^2*c*d^4*e^4*f - 20*b^2*c^4*d*e*f^4))/(8*b^2*d^5*(b*d^2*log(F))^(1/2))) - (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*x*(log(F)*((b*c^3*f^5)/2 - 5*b*d^3*e^3*f^2 - (5*b*c^2*d*e*f^4)/2 + 5*b*c*d^2*e^2*f^3) - (7*c*f^5)/4 + (15*d*e*f^4)/4))/(b^2*d^5*log(F)^2) + (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*f^5*x^4)/(2*b*d^2*log(F)) - (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*x^2*(f^5 - (b*f^3*(c^2*f^2*log(F) + 10*d^2*e^2*log(F) - 5*c*d*e*f*log(F)))/2))/(b^2*d^4*log(F)^2) - (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*f^4*x^3*(c*f - 5*d*e))/(2*b*d^3*log(F))","B"
383,1,517,389,3.682047,"\text{Not used}","int(F^(a + b*(c + d*x)^2)*(e + f*x)^4,x)","\mathrm{erfi}\left(\frac{b\,x\,\ln\left(F\right)\,d^2+b\,c\,\ln\left(F\right)\,d}{\sqrt{b\,d^2\,\ln\left(F\right)}}\right)\,\left(\frac{\frac{3\,F^a\,f^4\,\sqrt{\pi }}{8\,\sqrt{b\,d^2\,\ln\left(F\right)}}-\frac{F^a\,\sqrt{\pi }\,\ln\left(F\right)\,\left(12\,b\,c^2\,f^4-24\,b\,c\,d\,e\,f^3+12\,b\,d^2\,e^2\,f^2\right)}{8\,\sqrt{b\,d^2\,\ln\left(F\right)}}}{b^2\,d^4\,{\ln\left(F\right)}^2}+\frac{F^a\,\sqrt{\pi }\,\left(4\,b^2\,c^4\,f^4-16\,b^2\,c^3\,d\,e\,f^3+24\,b^2\,c^2\,d^2\,e^2\,f^2-16\,b^2\,c\,d^3\,e^3\,f+4\,b^2\,d^4\,e^4\right)}{8\,b^2\,d^4\,\sqrt{b\,d^2\,\ln\left(F\right)}}\right)+\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,\left(\frac{5\,F^a\,c\,f^4-8\,F^a\,d\,e\,f^3}{4\,F^a}-\frac{b\,\left(2\,F^a\,c^3\,f^4\,\ln\left(F\right)-8\,F^a\,d^3\,e^3\,f\,\ln\left(F\right)-8\,F^a\,c^2\,d\,e\,f^3\,\ln\left(F\right)+12\,F^a\,c\,d^2\,e^2\,f^2\,\ln\left(F\right)\right)}{4\,F^a}\right)}{b^2\,d^5\,{\ln\left(F\right)}^2}+\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,f^4\,x^3}{2\,b\,d^2\,\ln\left(F\right)}+\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,x\,\left(b\,\left(\frac{\ln\left(F\right)\,c^2\,f^4}{2}-2\,\ln\left(F\right)\,c\,d\,e\,f^3+3\,\ln\left(F\right)\,d^2\,e^2\,f^2\right)-\frac{3\,f^4}{4}\right)}{b^2\,d^4\,{\ln\left(F\right)}^2}-\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,f^3\,x^2\,\left(c\,f-4\,d\,e\right)}{2\,b\,d^3\,\ln\left(F\right)}","Not used",1,"erfi((b*c*d*log(F) + b*d^2*x*log(F))/(b*d^2*log(F))^(1/2))*(((3*F^a*f^4*pi^(1/2))/(8*(b*d^2*log(F))^(1/2)) - (F^a*pi^(1/2)*log(F)*(12*b*c^2*f^4 + 12*b*d^2*e^2*f^2 - 24*b*c*d*e*f^3))/(8*(b*d^2*log(F))^(1/2)))/(b^2*d^4*log(F)^2) + (F^a*pi^(1/2)*(4*b^2*c^4*f^4 + 4*b^2*d^4*e^4 + 24*b^2*c^2*d^2*e^2*f^2 - 16*b^2*c*d^3*e^3*f - 16*b^2*c^3*d*e*f^3))/(8*b^2*d^4*(b*d^2*log(F))^(1/2))) + (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*((5*F^a*c*f^4 - 8*F^a*d*e*f^3)/(4*F^a) - (b*(2*F^a*c^3*f^4*log(F) - 8*F^a*d^3*e^3*f*log(F) - 8*F^a*c^2*d*e*f^3*log(F) + 12*F^a*c*d^2*e^2*f^2*log(F)))/(4*F^a)))/(b^2*d^5*log(F)^2) + (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*f^4*x^3)/(2*b*d^2*log(F)) + (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*x*(b*((c^2*f^4*log(F))/2 + 3*d^2*e^2*f^2*log(F) - 2*c*d*e*f^3*log(F)) - (3*f^4)/4))/(b^2*d^4*log(F)^2) - (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*f^3*x^2*(c*f - 4*d*e))/(2*b*d^3*log(F))","B"
384,1,313,258,3.757243,"\text{Not used}","int(F^(a + b*(c + d*x)^2)*(e + f*x)^3,x)","\frac{F^a\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,x\,\ln\left(F\right)\,d^2+b\,c\,\ln\left(F\right)\,d}{\sqrt{b\,d^2\,\ln\left(F\right)}}\right)\,\left(-2\,b\,\ln\left(F\right)\,c^3\,f^3+6\,b\,\ln\left(F\right)\,c^2\,d\,e\,f^2-6\,b\,\ln\left(F\right)\,c\,d^2\,e^2\,f+3\,c\,f^3+2\,b\,\ln\left(F\right)\,d^3\,e^3-3\,d\,e\,f^2\right)}{4\,b\,d^3\,\ln\left(F\right)\,\sqrt{b\,d^2\,\ln\left(F\right)}}-F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,\left(\frac{f^3}{2\,b^2\,d^4\,{\ln\left(F\right)}^2}-\frac{3\,e^2\,f}{2\,b\,d^2\,\ln\left(F\right)}-\frac{c^2\,f^3}{2\,b\,d^4\,\ln\left(F\right)}+\frac{3\,c\,e\,f^2}{2\,b\,d^3\,\ln\left(F\right)}\right)-\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,x\,\left(c\,f^3-3\,d\,e\,f^2\right)}{2\,b\,d^3\,\ln\left(F\right)}+\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,f^3\,x^2}{2\,b\,d^2\,\ln\left(F\right)}","Not used",1,"(F^a*pi^(1/2)*erfi((b*c*d*log(F) + b*d^2*x*log(F))/(b*d^2*log(F))^(1/2))*(3*c*f^3 - 3*d*e*f^2 - 2*b*c^3*f^3*log(F) + 2*b*d^3*e^3*log(F) - 6*b*c*d^2*e^2*f*log(F) + 6*b*c^2*d*e*f^2*log(F)))/(4*b*d^3*log(F)*(b*d^2*log(F))^(1/2)) - F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*(f^3/(2*b^2*d^4*log(F)^2) - (3*e^2*f)/(2*b*d^2*log(F)) - (c^2*f^3)/(2*b*d^4*log(F)) + (3*c*e*f^2)/(2*b*d^3*log(F))) - (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*x*(c*f^3 - 3*d*e*f^2))/(2*b*d^3*log(F)) + (F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*f^3*x^2)/(2*b*d^2*log(F))","B"
385,1,194,170,3.817679,"\text{Not used}","int(F^(a + b*(c + d*x)^2)*(e + f*x)^2,x)","\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,f^2\,x}{2\,b\,d^2\,\ln\left(F\right)}-\frac{F^a\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,x\,\ln\left(F\right)\,d^2+b\,c\,\ln\left(F\right)\,d}{\sqrt{b\,d^2\,\ln\left(F\right)}}\right)\,\left(-2\,b\,\ln\left(F\right)\,c^2\,f^2+4\,b\,\ln\left(F\right)\,c\,d\,e\,f-2\,b\,\ln\left(F\right)\,d^2\,e^2+f^2\right)}{4\,b\,d^2\,\ln\left(F\right)\,\sqrt{b\,d^2\,\ln\left(F\right)}}-F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,\left(\frac{c\,f^2}{2\,b\,d^3\,\ln\left(F\right)}-\frac{e\,f}{b\,d^2\,\ln\left(F\right)}\right)","Not used",1,"(F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*f^2*x)/(2*b*d^2*log(F)) - (F^a*pi^(1/2)*erfi((b*c*d*log(F) + b*d^2*x*log(F))/(b*d^2*log(F))^(1/2))*(f^2 - 2*b*c^2*f^2*log(F) - 2*b*d^2*e^2*log(F) + 4*b*c*d*e*f*log(F)))/(4*b*d^2*log(F)*(b*d^2*log(F))^(1/2)) - F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*((c*f^2)/(2*b*d^3*log(F)) - (e*f)/(b*d^2*log(F)))","B"
386,1,96,81,3.625507,"\text{Not used}","int(F^(a + b*(c + d*x)^2)*(e + f*x),x)","\frac{F^{b\,d^2\,x^2}\,F^a\,F^{b\,c^2}\,F^{2\,b\,c\,d\,x}\,f}{2\,b\,d^2\,\ln\left(F\right)}-\frac{F^a\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,x\,\ln\left(F\right)\,d^2+b\,c\,\ln\left(F\right)\,d}{\sqrt{b\,d^2\,\ln\left(F\right)}}\right)\,\left(c\,f-d\,e\right)}{2\,d\,\sqrt{b\,d^2\,\ln\left(F\right)}}","Not used",1,"(F^(b*d^2*x^2)*F^a*F^(b*c^2)*F^(2*b*c*d*x)*f)/(2*b*d^2*log(F)) - (F^a*pi^(1/2)*erfi((b*c*d*log(F) + b*d^2*x*log(F))/(b*d^2*log(F))^(1/2))*(c*f - d*e))/(2*d*(b*d^2*log(F))^(1/2))","B"
387,1,48,44,3.402118,"\text{Not used}","int(F^(a + b*(c + d*x)^2),x)","-\frac{F^a\,\sqrt{\pi }\,\mathrm{erf}\left(\frac{1{}\mathrm{i}\,b\,x\,\ln\left(F\right)\,d^2+1{}\mathrm{i}\,b\,c\,\ln\left(F\right)\,d}{\sqrt{b\,d^2\,\ln\left(F\right)}}\right)\,1{}\mathrm{i}}{2\,\sqrt{b\,d^2\,\ln\left(F\right)}}","Not used",1,"-(F^a*pi^(1/2)*erf((b*c*d*log(F)*1i + b*d^2*x*log(F)*1i)/(b*d^2*log(F))^(1/2))*1i)/(2*(b*d^2*log(F))^(1/2))","B"
388,0,-1,24,0.000000,"\text{Not used}","int(F^(a + b*(c + d*x)^2)/(e + f*x),x)","\int \frac{F^{a+b\,{\left(c+d\,x\right)}^2}}{e+f\,x} \,d x","Not used",0,"int(F^(a + b*(c + d*x)^2)/(e + f*x), x)","F"
389,0,-1,109,0.000000,"\text{Not used}","int(F^(a + b*(c + d*x)^2)/(e + f*x)^2,x)","\int \frac{F^{a+b\,{\left(c+d\,x\right)}^2}}{{\left(e+f\,x\right)}^2} \,d x","Not used",0,"int(F^(a + b*(c + d*x)^2)/(e + f*x)^2, x)","F"
390,0,-1,200,0.000000,"\text{Not used}","int(F^(a + b*(c + d*x)^2)/(e + f*x)^3,x)","\int \frac{F^{a+b\,{\left(c+d\,x\right)}^2}}{{\left(e+f\,x\right)}^3} \,d x","Not used",0,"int(F^(a + b*(c + d*x)^2)/(e + f*x)^3, x)","F"
391,0,-1,177,0.000000,"\text{Not used}","int(exp(e*(c + d*x)^3)*(a + b*x)^3,x)","\int {\mathrm{e}}^{e\,{\left(c+d\,x\right)}^3}\,{\left(a+b\,x\right)}^3 \,d x","Not used",1,"int(exp(e*(c + d*x)^3)*(a + b*x)^3, x)","F"
392,0,-1,126,0.000000,"\text{Not used}","int(exp(e*(c + d*x)^3)*(a + b*x)^2,x)","\int {\mathrm{e}}^{e\,{\left(c+d\,x\right)}^3}\,{\left(a+b\,x\right)}^2 \,d x","Not used",1,"int(exp(e*(c + d*x)^3)*(a + b*x)^2, x)","F"
393,0,-1,92,0.000000,"\text{Not used}","int(exp(e*(c + d*x)^3)*(a + b*x),x)","\int {\mathrm{e}}^{e\,{\left(c+d\,x\right)}^3}\,\left(a+b\,x\right) \,d x","Not used",1,"int(exp(e*(c + d*x)^3)*(a + b*x), x)","F"
394,0,-1,40,0.000000,"\text{Not used}","int(exp(e*(c + d*x)^3),x)","\int {\mathrm{e}}^{e\,{\left(c+d\,x\right)}^3} \,d x","Not used",1,"int(exp(e*(c + d*x)^3), x)","F"
395,0,-1,22,0.000000,"\text{Not used}","int(exp(e*(c + d*x)^3)/(a + b*x),x)","\int \frac{{\mathrm{e}}^{e\,{\left(c+d\,x\right)}^3}}{a+b\,x} \,d x","Not used",0,"int(exp(e*(c + d*x)^3)/(a + b*x), x)","F"
396,0,-1,153,0.000000,"\text{Not used}","int(exp(e*(c + d*x)^3)/(a + b*x)^2,x)","\int \frac{{\mathrm{e}}^{e\,{\left(c+d\,x\right)}^3}}{{\left(a+b\,x\right)}^2} \,d x","Not used",0,"int(exp(e*(c + d*x)^3)/(a + b*x)^2, x)","F"
397,0,-1,71,0.000000,"\text{Not used}","int(F^(a + b/(c + d*x))/(e + f*x),x)","\int \frac{F^{a+\frac{b}{c+d\,x}}}{e+f\,x} \,d x","Not used",1,"int(F^(a + b/(c + d*x))/(e + f*x), x)","F"
398,0,-1,116,0.000000,"\text{Not used}","int(F^(a + b/(c + d*x))/(e + f*x)^2,x)","\int \frac{F^{a+\frac{b}{c+d\,x}}}{{\left(e+f\,x\right)}^2} \,d x","Not used",1,"int(F^(a + b/(c + d*x))/(e + f*x)^2, x)","F"
399,0,-1,267,0.000000,"\text{Not used}","int(F^(a + b/(c + d*x))/(e + f*x)^3,x)","\int \frac{F^{a+\frac{b}{c+d\,x}}}{{\left(e+f\,x\right)}^3} \,d x","Not used",1,"int(F^(a + b/(c + d*x))/(e + f*x)^3, x)","F"
400,0,-1,460,0.000000,"\text{Not used}","int(F^(a + b/(c + d*x))/(e + f*x)^4,x)","\int \frac{F^{a+\frac{b}{c+d\,x}}}{{\left(e+f\,x\right)}^4} \,d x","Not used",1,"int(F^(a + b/(c + d*x))/(e + f*x)^4, x)","F"
401,0,-1,346,0.000000,"\text{Not used}","int(exp(e/(c + d*x))*(a + b*x)^4,x)","\int {\mathrm{e}}^{\frac{e}{c+d\,x}}\,{\left(a+b\,x\right)}^4 \,d x","Not used",1,"int(exp(e/(c + d*x))*(a + b*x)^4, x)","F"
402,0,-1,320,0.000000,"\text{Not used}","int(exp(e/(c + d*x))*(a + b*x)^3,x)","\int {\mathrm{e}}^{\frac{e}{c+d\,x}}\,{\left(a+b\,x\right)}^3 \,d x","Not used",1,"int(exp(e/(c + d*x))*(a + b*x)^3, x)","F"
403,1,306,255,4.101439,"\text{Not used}","int(exp(e/(c + d*x))*(a + b*x)^2,x)","\frac{x\,{\mathrm{e}}^{\frac{e}{c+d\,x}}\,\left(2\,a^2\,c+\frac{\frac{b^2\,c^3}{3}-d\,\left(a\,b\,c^2-2\,a\,b\,c\,e\right)+\frac{b^2\,c\,e^2}{3}-\frac{3\,b^2\,c^2\,e}{2}}{d^2}\right)+\frac{{\mathrm{e}}^{\frac{e}{c+d\,x}}\,\left(\frac{b^2\,c^4}{3}-d\,\left(a\,b\,c^3-a\,b\,c^2\,e\right)-\frac{5\,b^2\,c^3\,e}{6}+a^2\,c^2\,d^2+\frac{b^2\,c^2\,e^2}{6}\right)}{d^3}+x^2\,{\mathrm{e}}^{\frac{e}{c+d\,x}}\,\left(\frac{\frac{b^2\,e^2}{6}-\frac{b^2\,c\,e}{2}}{d}+a^2\,d+a\,b\,c+a\,b\,e\right)+\frac{b^2\,d\,x^4\,{\mathrm{e}}^{\frac{e}{c+d\,x}}}{3}+\frac{b\,x^3\,{\mathrm{e}}^{\frac{e}{c+d\,x}}\,\left(6\,a\,d+2\,b\,c+b\,e\right)}{6}}{c+d\,x}-\frac{\mathrm{ei}\left(\frac{e}{c+d\,x}\right)\,\left(\frac{b^2\,e^3}{6}+d\,\left(a\,b\,e^2-2\,a\,b\,c\,e\right)+a^2\,d^2\,e-b^2\,c\,e^2+b^2\,c^2\,e\right)}{d^3}","Not used",1,"(x*exp(e/(c + d*x))*(2*a^2*c + ((b^2*c^3)/3 - d*(a*b*c^2 - 2*a*b*c*e) + (b^2*c*e^2)/3 - (3*b^2*c^2*e)/2)/d^2) + (exp(e/(c + d*x))*((b^2*c^4)/3 - d*(a*b*c^3 - a*b*c^2*e) - (5*b^2*c^3*e)/6 + a^2*c^2*d^2 + (b^2*c^2*e^2)/6))/d^3 + x^2*exp(e/(c + d*x))*(((b^2*e^2)/6 - (b^2*c*e)/2)/d + a^2*d + a*b*c + a*b*e) + (b^2*d*x^4*exp(e/(c + d*x)))/3 + (b*x^3*exp(e/(c + d*x))*(6*a*d + 2*b*c + b*e))/6)/(c + d*x) - (ei(e/(c + d*x))*((b^2*e^3)/6 + d*(a*b*e^2 - 2*a*b*c*e) + a^2*d^2*e - b^2*c*e^2 + b^2*c^2*e))/d^3","B"
404,1,153,125,3.665284,"\text{Not used}","int(exp(e/(c + d*x))*(a + b*x),x)","\frac{\frac{{\mathrm{e}}^{\frac{e}{c+d\,x}}\,\left(2\,a\,c^2\,d-b\,c^3+b\,c^2\,e\right)}{2\,d^2}+x\,{\mathrm{e}}^{\frac{e}{c+d\,x}}\,\left(2\,a\,c-\frac{\frac{b\,c^2}{2}-b\,c\,e}{d}\right)+x^2\,{\mathrm{e}}^{\frac{e}{c+d\,x}}\,\left(a\,d+\frac{b\,c}{2}+\frac{b\,e}{2}\right)+\frac{b\,d\,x^3\,{\mathrm{e}}^{\frac{e}{c+d\,x}}}{2}}{c+d\,x}-\frac{\mathrm{ei}\left(\frac{e}{c+d\,x}\right)\,\left(b\,e^2+2\,a\,d\,e-2\,b\,c\,e\right)}{2\,d^2}","Not used",1,"((exp(e/(c + d*x))*(2*a*c^2*d - b*c^3 + b*c^2*e))/(2*d^2) + x*exp(e/(c + d*x))*(2*a*c - ((b*c^2)/2 - b*c*e)/d) + x^2*exp(e/(c + d*x))*(a*d + (b*c)/2 + (b*e)/2) + (b*d*x^3*exp(e/(c + d*x)))/2)/(c + d*x) - (ei(e/(c + d*x))*(b*e^2 + 2*a*d*e - 2*b*c*e))/(2*d^2)","B"
405,1,44,37,3.622097,"\text{Not used}","int(exp(e/(c + d*x)),x)","x\,{\mathrm{e}}^{\frac{e}{c+d\,x}}-\frac{e\,\mathrm{ei}\left(\frac{e}{c+d\,x}\right)-c\,{\mathrm{e}}^{\frac{e}{c+d\,x}}}{d}","Not used",1,"x*exp(e/(c + d*x)) - (e*ei(e/(c + d*x)) - c*exp(e/(c + d*x)))/d","B"
406,0,-1,62,0.000000,"\text{Not used}","int(exp(e/(c + d*x))/(a + b*x),x)","\int \frac{{\mathrm{e}}^{\frac{e}{c+d\,x}}}{a+b\,x} \,d x","Not used",1,"int(exp(e/(c + d*x))/(a + b*x), x)","F"
407,0,-1,107,0.000000,"\text{Not used}","int(exp(e/(c + d*x))/(a + b*x)^2,x)","\int \frac{{\mathrm{e}}^{\frac{e}{c+d\,x}}}{{\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(exp(e/(c + d*x))/(a + b*x)^2, x)","F"
408,0,-1,240,0.000000,"\text{Not used}","int(exp(e/(c + d*x))/(a + b*x)^3,x)","\int \frac{{\mathrm{e}}^{\frac{e}{c+d\,x}}}{{\left(a+b\,x\right)}^3} \,d x","Not used",1,"int(exp(e/(c + d*x))/(a + b*x)^3, x)","F"
409,0,-1,322,0.000000,"\text{Not used}","int(exp(e/(c + d*x)^2)*(a + b*x)^3,x)","\int {\mathrm{e}}^{\frac{e}{{\left(c+d\,x\right)}^2}}\,{\left(a+b\,x\right)}^3 \,d x","Not used",1,"int(exp(e/(c + d*x)^2)*(a + b*x)^3, x)","F"
410,0,-1,215,0.000000,"\text{Not used}","int(exp(e/(c + d*x)^2)*(a + b*x)^2,x)","\int {\mathrm{e}}^{\frac{e}{{\left(c+d\,x\right)}^2}}\,{\left(a+b\,x\right)}^2 \,d x","Not used",1,"int(exp(e/(c + d*x)^2)*(a + b*x)^2, x)","F"
411,0,-1,111,0.000000,"\text{Not used}","int(exp(e/(c + d*x)^2)*(a + b*x),x)","\int {\mathrm{e}}^{\frac{e}{{\left(c+d\,x\right)}^2}}\,\left(a+b\,x\right) \,d x","Not used",1,"int(exp(e/(c + d*x)^2)*(a + b*x), x)","F"
412,1,43,50,3.691357,"\text{Not used}","int(exp(e/(c + d*x)^2),x)","\frac{{\mathrm{e}}^{\frac{e}{{\left(c+d\,x\right)}^2}}\,\left(c+d\,x\right)}{d}-\frac{\sqrt{e}\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{\sqrt{e}}{c+d\,x}\right)}{d}","Not used",1,"(exp(e/(c + d*x)^2)*(c + d*x))/d - (e^(1/2)*pi^(1/2)*erfi(e^(1/2)/(c + d*x)))/d","B"
413,0,-1,22,0.000000,"\text{Not used}","int(exp(e/(c + d*x)^2)/(a + b*x),x)","\int \frac{{\mathrm{e}}^{\frac{e}{{\left(c+d\,x\right)}^2}}}{a+b\,x} \,d x","Not used",0,"int(exp(e/(c + d*x)^2)/(a + b*x), x)","F"
414,0,-1,22,0.000000,"\text{Not used}","int(exp(e/(c + d*x)^2)/(a + b*x)^2,x)","\int \frac{{\mathrm{e}}^{\frac{e}{{\left(c+d\,x\right)}^2}}}{{\left(a+b\,x\right)}^2} \,d x","Not used",0,"int(exp(e/(c + d*x)^2)/(a + b*x)^2, x)","F"
415,0,-1,22,0.000000,"\text{Not used}","int(exp(e/(c + d*x)^2)/(a + b*x)^3,x)","\int \frac{{\mathrm{e}}^{\frac{e}{{\left(c+d\,x\right)}^2}}}{{\left(a+b\,x\right)}^3} \,d x","Not used",0,"int(exp(e/(c + d*x)^2)/(a + b*x)^3, x)","F"
416,0,-1,206,0.000000,"\text{Not used}","int(exp(e/(c + d*x)^3)*(a + b*x)^3,x)","\int {\mathrm{e}}^{\frac{e}{{\left(c+d\,x\right)}^3}}\,{\left(a+b\,x\right)}^3 \,d x","Not used",1,"int(exp(e/(c + d*x)^3)*(a + b*x)^3, x)","F"
417,0,-1,151,0.000000,"\text{Not used}","int(exp(e/(c + d*x)^3)*(a + b*x)^2,x)","\int {\mathrm{e}}^{\frac{e}{{\left(c+d\,x\right)}^3}}\,{\left(a+b\,x\right)}^2 \,d x","Not used",1,"int(exp(e/(c + d*x)^3)*(a + b*x)^2, x)","F"
418,0,-1,92,0.000000,"\text{Not used}","int(exp(e/(c + d*x)^3)*(a + b*x),x)","\int {\mathrm{e}}^{\frac{e}{{\left(c+d\,x\right)}^3}}\,\left(a+b\,x\right) \,d x","Not used",1,"int(exp(e/(c + d*x)^3)*(a + b*x), x)","F"
419,1,61,40,3.950718,"\text{Not used}","int(exp(e/(c + d*x)^3),x)","\frac{\left(c+d\,x\right)\,\left({\mathrm{e}}^{\frac{e}{{\left(c+d\,x\right)}^3}}+\Gamma \left(\frac{2}{3}\right)\,{\left(-\frac{e}{{\left(c+d\,x\right)}^3}\right)}^{1/3}-{\left(-\frac{e}{{\left(c+d\,x\right)}^3}\right)}^{1/3}\,\Gamma \left(\frac{2}{3},-\frac{e}{{\left(c+d\,x\right)}^3}\right)\right)}{d}","Not used",1,"((c + d*x)*(exp(e/(c + d*x)^3) + gamma(2/3)*(-e/(c + d*x)^3)^(1/3) - (-e/(c + d*x)^3)^(1/3)*igamma(2/3, -e/(c + d*x)^3)))/d","B"
420,0,-1,22,0.000000,"\text{Not used}","int(exp(e/(c + d*x)^3)/(a + b*x),x)","\int \frac{{\mathrm{e}}^{\frac{e}{{\left(c+d\,x\right)}^3}}}{a+b\,x} \,d x","Not used",0,"int(exp(e/(c + d*x)^3)/(a + b*x), x)","F"
421,0,-1,22,0.000000,"\text{Not used}","int(exp(e/(c + d*x)^3)/(a + b*x)^2,x)","\int \frac{{\mathrm{e}}^{\frac{e}{{\left(c+d\,x\right)}^3}}}{{\left(a+b\,x\right)}^2} \,d x","Not used",0,"int(exp(e/(c + d*x)^3)/(a + b*x)^2, x)","F"
422,0,-1,104,0.000000,"\text{Not used}","int(F^(e + (f*(a + b*x))/(c + d*x))/(g + h*x),x)","\int \frac{F^{e+\frac{f\,\left(a+b\,x\right)}{c+d\,x}}}{g+h\,x} \,d x","Not used",1,"int(F^(e + (f*(a + b*x))/(c + d*x))/(g + h*x), x)","F"
423,0,-1,159,0.000000,"\text{Not used}","int(F^(e + (f*(a + b*x))/(c + d*x))/(g + h*x)^2,x)","\int \frac{F^{e+\frac{f\,\left(a+b\,x\right)}{c+d\,x}}}{{\left(g+h\,x\right)}^2} \,d x","Not used",1,"int(F^(e + (f*(a + b*x))/(c + d*x))/(g + h*x)^2, x)","F"
424,0,-1,366,0.000000,"\text{Not used}","int(F^(e + (f*(a + b*x))/(c + d*x))/(g + h*x)^3,x)","\int \frac{F^{e+\frac{f\,\left(a+b\,x\right)}{c+d\,x}}}{{\left(g+h\,x\right)}^3} \,d x","Not used",1,"int(F^(e + (f*(a + b*x))/(c + d*x))/(g + h*x)^3, x)","F"
425,0,-1,634,0.000000,"\text{Not used}","int(F^(e + (f*(a + b*x))/(c + d*x))/(g + h*x)^4,x)","\int \frac{F^{e+\frac{f\,\left(a+b\,x\right)}{c+d\,x}}}{{\left(g+h\,x\right)}^4} \,d x","Not used",1,"int(F^(e + (f*(a + b*x))/(c + d*x))/(g + h*x)^4, x)","F"
426,1,153,217,3.869890,"\text{Not used}","int(f^(a + b*x + c*x^2)*x^3,x)","\frac{f^a\,f^{c\,x^2}\,f^{b\,x}\,x^2}{2\,c\,\ln\left(f\right)}-f^a\,f^{c\,x^2}\,f^{b\,x}\,\left(\frac{1}{2\,c^2\,{\ln\left(f\right)}^2}-\frac{b^2}{8\,c^3\,\ln\left(f\right)}\right)+\frac{f^{a-\frac{b^2}{4\,c}}\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{\frac{b\,\ln\left(f\right)}{2}+c\,x\,\ln\left(f\right)}{\sqrt{c\,\ln\left(f\right)}}\right)\,\left(\frac{3\,b\,c}{8}-\frac{b^3\,\ln\left(f\right)}{16}\right)}{c^3\,\ln\left(f\right)\,\sqrt{c\,\ln\left(f\right)}}-\frac{b\,f^a\,f^{c\,x^2}\,f^{b\,x}\,x}{4\,c^2\,\ln\left(f\right)}","Not used",1,"(f^a*f^(c*x^2)*f^(b*x)*x^2)/(2*c*log(f)) - f^a*f^(c*x^2)*f^(b*x)*(1/(2*c^2*log(f)^2) - b^2/(8*c^3*log(f))) + (f^(a - b^2/(4*c))*pi^(1/2)*erfi(((b*log(f))/2 + c*x*log(f))/(c*log(f))^(1/2))*((3*b*c)/8 - (b^3*log(f))/16))/(c^3*log(f)*(c*log(f))^(1/2)) - (b*f^a*f^(c*x^2)*f^(b*x)*x)/(4*c^2*log(f))","B"
427,1,111,164,3.599012,"\text{Not used}","int(f^(a + b*x + c*x^2)*x^2,x)","\frac{f^a\,f^{c\,x^2}\,f^{b\,x}\,x}{2\,c\,\ln\left(f\right)}-\frac{b\,f^a\,f^{c\,x^2}\,f^{b\,x}}{4\,c^2\,\ln\left(f\right)}-\frac{f^{a-\frac{b^2}{4\,c}}\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{\frac{b\,\ln\left(f\right)}{2}+c\,x\,\ln\left(f\right)}{\sqrt{c\,\ln\left(f\right)}}\right)\,\left(\frac{c}{4}-\frac{b^2\,\ln\left(f\right)}{8}\right)}{c^2\,\ln\left(f\right)\,\sqrt{c\,\ln\left(f\right)}}","Not used",1,"(f^a*f^(c*x^2)*f^(b*x)*x)/(2*c*log(f)) - (b*f^a*f^(c*x^2)*f^(b*x))/(4*c^2*log(f)) - (f^(a - b^2/(4*c))*pi^(1/2)*erfi(((b*log(f))/2 + c*x*log(f))/(c*log(f))^(1/2))*(c/4 - (b^2*log(f))/8))/(c^2*log(f)*(c*log(f))^(1/2))","B"
428,1,71,81,3.570838,"\text{Not used}","int(f^(a + b*x + c*x^2)*x,x)","\frac{f^a\,f^{c\,x^2}\,f^{b\,x}}{2\,c\,\ln\left(f\right)}-\frac{b\,f^{a-\frac{b^2}{4\,c}}\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{\frac{b\,\ln\left(f\right)}{2}+c\,x\,\ln\left(f\right)}{\sqrt{c\,\ln\left(f\right)}}\right)}{4\,c\,\sqrt{c\,\ln\left(f\right)}}","Not used",1,"(f^a*f^(c*x^2)*f^(b*x))/(2*c*log(f)) - (b*f^(a - b^2/(4*c))*pi^(1/2)*erfi(((b*log(f))/2 + c*x*log(f))/(c*log(f))^(1/2)))/(4*c*(c*log(f))^(1/2))","B"
429,1,49,56,3.528748,"\text{Not used}","int(f^(a + b*x + c*x^2),x)","-\frac{f^a\,\sqrt{\pi }\,{\mathrm{e}}^{-\frac{b^2\,\ln\left(f\right)}{4\,c}}\,\mathrm{erf}\left(\frac{b\,\ln\left(f\right)\,1{}\mathrm{i}+c\,x\,\ln\left(f\right)\,2{}\mathrm{i}}{2\,\sqrt{c\,\ln\left(f\right)}}\right)\,1{}\mathrm{i}}{2\,\sqrt{c\,\ln\left(f\right)}}","Not used",1,"-(f^a*pi^(1/2)*exp(-(b^2*log(f))/(4*c))*erf((b*log(f)*1i + c*x*log(f)*2i)/(2*(c*log(f))^(1/2)))*1i)/(2*(c*log(f))^(1/2))","B"
430,0,-1,19,0.000000,"\text{Not used}","int(f^(a + b*x + c*x^2)/x,x)","\int \frac{f^{c\,x^2+b\,x+a}}{x} \,d x","Not used",0,"int(f^(a + b*x + c*x^2)/x, x)","F"
431,0,-1,94,0.000000,"\text{Not used}","int(f^(a + b*x + c*x^2)/x^2,x)","\int \frac{f^{c\,x^2+b\,x+a}}{x^2} \,d x","Not used",0,"int(f^(a + b*x + c*x^2)/x^2, x)","F"
432,1,112,181,0.300879,"\text{Not used}","int(x^3*exp(a + b*x - c*x^2),x)","-{\mathrm{e}}^{-c\,x^2+b\,x+a}\,\left(\frac{1}{2\,c^2}+\frac{b^2}{8\,c^3}\right)-\frac{x^2\,{\mathrm{e}}^{-c\,x^2+b\,x+a}}{2\,c}-\frac{b\,x\,{\mathrm{e}}^{-c\,x^2+b\,x+a}}{4\,c^2}-\frac{\sqrt{\pi }\,\mathrm{erfi}\left(\frac{\frac{b}{2}-c\,x}{\sqrt{-c}}\right)\,{\mathrm{e}}^{a+\frac{b^2}{4\,c}}\,\left(b^3+6\,c\,b\right)}{16\,{\left(-c\right)}^{7/2}}","Not used",1,"- exp(a + b*x - c*x^2)*(1/(2*c^2) + b^2/(8*c^3)) - (x^2*exp(a + b*x - c*x^2))/(2*c) - (b*x*exp(a + b*x - c*x^2))/(4*c^2) - (pi^(1/2)*erfi((b/2 - c*x)/(-c)^(1/2))*exp(a + b^2/(4*c))*(6*b*c + b^3))/(16*(-c)^(7/2))","B"
433,1,80,134,3.716510,"\text{Not used}","int(x^2*exp(a + b*x - c*x^2),x)","\frac{\sqrt{\pi }\,\mathrm{erfi}\left(\frac{\frac{b}{2}-c\,x}{\sqrt{-c}}\right)\,{\mathrm{e}}^{a+\frac{b^2}{4\,c}}\,\left(b^2+2\,c\right)}{8\,{\left(-c\right)}^{5/2}}-\frac{x\,{\mathrm{e}}^{-c\,x^2+b\,x+a}}{2\,c}-\frac{b\,{\mathrm{e}}^{-c\,x^2+b\,x+a}}{4\,c^2}","Not used",1,"(pi^(1/2)*erfi((b/2 - c*x)/(-c)^(1/2))*exp(a + b^2/(4*c))*(2*c + b^2))/(8*(-c)^(5/2)) - (x*exp(a + b*x - c*x^2))/(2*c) - (b*exp(a + b*x - c*x^2))/(4*c^2)","B"
434,1,58,66,3.474970,"\text{Not used}","int(x*exp(a + b*x - c*x^2),x)","-\frac{{\mathrm{e}}^{b\,x}\,{\mathrm{e}}^a\,{\mathrm{e}}^{-c\,x^2}}{2\,c}-\frac{b\,\sqrt{\pi }\,{\mathrm{e}}^{\frac{b^2}{4\,c}}\,{\mathrm{e}}^a\,\mathrm{erfi}\left(\frac{b}{2\,\sqrt{-c}}+\sqrt{-c}\,x\right)}{4\,{\left(-c\right)}^{3/2}}","Not used",1,"- (exp(b*x)*exp(a)*exp(-c*x^2))/(2*c) - (b*pi^(1/2)*exp(b^2/(4*c))*exp(a)*erfi(b/(2*(-c)^(1/2)) + (-c)^(1/2)*x))/(4*(-c)^(3/2))","B"
435,1,40,44,0.031676,"\text{Not used}","int(exp(a + b*x - c*x^2),x)","-\frac{\sqrt{\pi }\,\mathrm{erf}\left(\frac{b\,1{}\mathrm{i}-c\,x\,2{}\mathrm{i}}{2\,\sqrt{-c}}\right)\,{\mathrm{e}}^{a+\frac{b^2}{4\,c}}\,1{}\mathrm{i}}{2\,\sqrt{-c}}","Not used",1,"-(pi^(1/2)*erf((b*1i - c*x*2i)/(2*(-c)^(1/2)))*exp(a + b^2/(4*c))*1i)/(2*(-c)^(1/2))","B"
436,0,-1,20,0.000000,"\text{Not used}","int(exp(a + b*x - c*x^2)/x,x)","\int \frac{{\mathrm{e}}^{-c\,x^2+b\,x+a}}{x} \,d x","Not used",0,"int(exp(a + b*x - c*x^2)/x, x)","F"
437,0,-1,82,0.000000,"\text{Not used}","int(exp(a + b*x - c*x^2)/x^2,x)","\int \frac{{\mathrm{e}}^{-c\,x^2+b\,x+a}}{x^2} \,d x","Not used",0,"int(exp(a + b*x - c*x^2)/x^2, x)","F"
438,1,230,297,3.691510,"\text{Not used}","int(x^3*exp((a + b*x)*(c + d*x)),x)","\frac{{\mathrm{e}}^{a\,c+a\,d\,x+b\,c\,x+b\,d\,x^2}\,\left(\frac{a^2\,d^2}{8}-b\,\left(\frac{d}{2}-\frac{a\,c\,d}{4}\right)+\frac{b^2\,c^2}{8}\right)}{b^3\,d^3}+\frac{x^2\,{\mathrm{e}}^{a\,c+a\,d\,x+b\,c\,x+b\,d\,x^2}}{2\,b\,d}-\frac{x\,{\mathrm{e}}^{a\,c+a\,d\,x+b\,c\,x+b\,d\,x^2}\,\left(a\,d+b\,c\right)}{4\,b^2\,d^2}-\frac{\sqrt{\pi }\,{\mathrm{e}}^{\frac{a\,c}{2}-\frac{a^2\,d}{4\,b}-\frac{b\,c^2}{4\,d}}\,\mathrm{erfi}\left(\frac{\frac{a\,d}{2}+\frac{b\,c}{2}+b\,d\,x}{\sqrt{b\,d}}\right)\,\left(a^3\,d^3+3\,a^2\,b\,c\,d^2+3\,a\,b^2\,c^2\,d-6\,a\,b\,d^2+b^3\,c^3-6\,b^2\,c\,d\right)}{16\,b^3\,d^3\,\sqrt{b\,d}}","Not used",1,"(exp(a*c + a*d*x + b*c*x + b*d*x^2)*((a^2*d^2)/8 - b*(d/2 - (a*c*d)/4) + (b^2*c^2)/8))/(b^3*d^3) + (x^2*exp(a*c + a*d*x + b*c*x + b*d*x^2))/(2*b*d) - (x*exp(a*c + a*d*x + b*c*x + b*d*x^2)*(a*d + b*c))/(4*b^2*d^2) - (pi^(1/2)*exp((a*c)/2 - (a^2*d)/(4*b) - (b*c^2)/(4*d))*erfi(((a*d)/2 + (b*c)/2 + b*d*x)/(b*d)^(1/2))*(a^3*d^3 + b^3*c^3 - 6*a*b*d^2 - 6*b^2*c*d + 3*a*b^2*c^2*d + 3*a^2*b*c*d^2))/(16*b^3*d^3*(b*d)^(1/2))","B"
439,1,150,216,0.301163,"\text{Not used}","int(x^2*exp((a + b*x)*(c + d*x)),x)","\frac{x\,{\mathrm{e}}^{a\,c+a\,d\,x+b\,c\,x+b\,d\,x^2}}{2\,b\,d}-\frac{{\mathrm{e}}^{a\,c+a\,d\,x+b\,c\,x+b\,d\,x^2}\,\left(\frac{a\,d}{4}+\frac{b\,c}{4}\right)}{b^2\,d^2}+\frac{\sqrt{\pi }\,{\mathrm{e}}^{\frac{a\,c}{2}-\frac{a^2\,d}{4\,b}-\frac{b\,c^2}{4\,d}}\,\mathrm{erfi}\left(\frac{\frac{a\,d}{2}+\frac{b\,c}{2}+b\,d\,x}{\sqrt{b\,d}}\right)\,\left(a^2\,d^2+2\,a\,b\,c\,d+b^2\,c^2-2\,b\,d\right)}{8\,b^2\,d^2\,\sqrt{b\,d}}","Not used",1,"(x*exp(a*c + a*d*x + b*c*x + b*d*x^2))/(2*b*d) - (exp(a*c + a*d*x + b*c*x + b*d*x^2)*((a*d)/4 + (b*c)/4))/(b^2*d^2) + (pi^(1/2)*exp((a*c)/2 - (a^2*d)/(4*b) - (b*c^2)/(4*d))*erfi(((a*d)/2 + (b*c)/2 + b*d*x)/(b*d)^(1/2))*(a^2*d^2 - 2*b*d + b^2*c^2 + 2*a*b*c*d))/(8*b^2*d^2*(b*d)^(1/2))","B"
440,1,95,107,3.669145,"\text{Not used}","int(x*exp((a + b*x)*(c + d*x)),x)","\frac{{\mathrm{e}}^{a\,c+a\,d\,x+b\,c\,x+b\,d\,x^2}}{2\,b\,d}-\frac{\sqrt{\pi }\,{\mathrm{e}}^{\frac{a\,c}{2}-\frac{a^2\,d}{4\,b}-\frac{b\,c^2}{4\,d}}\,\mathrm{erfi}\left(\frac{\frac{a\,d}{2}+\frac{b\,c}{2}+b\,d\,x}{\sqrt{b\,d}}\right)\,\left(a\,d+b\,c\right)}{4\,b\,d\,\sqrt{b\,d}}","Not used",1,"exp(a*c + a*d*x + b*c*x + b*d*x^2)/(2*b*d) - (pi^(1/2)*exp((a*c)/2 - (a^2*d)/(4*b) - (b*c^2)/(4*d))*erfi(((a*d)/2 + (b*c)/2 + b*d*x)/(b*d)^(1/2))*(a*d + b*c))/(4*b*d*(b*d)^(1/2))","B"
441,1,60,68,0.035441,"\text{Not used}","int(exp((a + b*x)*(c + d*x)),x)","-\frac{\sqrt{\pi }\,{\mathrm{e}}^{\frac{a\,c}{2}-\frac{a^2\,d}{4\,b}-\frac{b\,c^2}{4\,d}}\,\mathrm{erf}\left(\frac{a\,d\,1{}\mathrm{i}+b\,c\,1{}\mathrm{i}+b\,d\,x\,2{}\mathrm{i}}{2\,\sqrt{b\,d}}\right)\,1{}\mathrm{i}}{2\,\sqrt{b\,d}}","Not used",1,"-(pi^(1/2)*exp((a*c)/2 - (a^2*d)/(4*b) - (b*c^2)/(4*d))*erf((a*d*1i + b*c*1i + b*d*x*2i)/(2*(b*d)^(1/2)))*1i)/(2*(b*d)^(1/2))","B"
442,0,-1,28,0.000000,"\text{Not used}","int(exp((a + b*x)*(c + d*x))/x,x)","\int \frac{{\mathrm{e}}^{\left(a+b\,x\right)\,\left(c+d\,x\right)}}{x} \,d x","Not used",0,"int(exp((a + b*x)*(c + d*x))/x, x)","F"
443,0,-1,128,0.000000,"\text{Not used}","int(exp((a + b*x)*(c + d*x))/x^2,x)","\int \frac{{\mathrm{e}}^{\left(a+b\,x\right)\,\left(c+d\,x\right)}}{x^2} \,d x","Not used",0,"int(exp((a + b*x)*(c + d*x))/x^2, x)","F"
444,1,251,266,3.887995,"\text{Not used}","int(f^(a + b*x + c*x^2)*(d + e*x)^3,x)","\frac{e^3\,f^a\,f^{c\,x^2}\,f^{b\,x}\,x^2}{2\,c\,\ln\left(f\right)}-\frac{f^{a-\frac{b^2}{4\,c}}\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{\frac{b\,\ln\left(f\right)}{2}+c\,x\,\ln\left(f\right)}{\sqrt{c\,\ln\left(f\right)}}\right)\,\left(\frac{\ln\left(f\right)\,b^3\,e^3}{16}-\frac{3\,\ln\left(f\right)\,b^2\,c\,d\,e^2}{8}+\frac{3\,\ln\left(f\right)\,b\,c^2\,d^2\,e}{4}-\frac{3\,b\,c\,e^3}{8}-\frac{\ln\left(f\right)\,c^3\,d^3}{2}+\frac{3\,c^2\,d\,e^2}{4}\right)}{c^3\,\ln\left(f\right)\,\sqrt{c\,\ln\left(f\right)}}-\frac{f^a\,f^{c\,x^2}\,f^{b\,x}\,x\,\left(b\,e^3-6\,c\,d\,e^2\right)}{4\,c^2\,\ln\left(f\right)}-f^a\,f^{c\,x^2}\,f^{b\,x}\,\left(\frac{e^3}{2\,c^2\,{\ln\left(f\right)}^2}-\frac{3\,d^2\,e}{2\,c\,\ln\left(f\right)}-\frac{b^2\,e^3}{8\,c^3\,\ln\left(f\right)}+\frac{3\,b\,d\,e^2}{4\,c^2\,\ln\left(f\right)}\right)","Not used",1,"(e^3*f^a*f^(c*x^2)*f^(b*x)*x^2)/(2*c*log(f)) - (f^(a - b^2/(4*c))*pi^(1/2)*erfi(((b*log(f))/2 + c*x*log(f))/(c*log(f))^(1/2))*((3*c^2*d*e^2)/4 + (b^3*e^3*log(f))/16 - (c^3*d^3*log(f))/2 - (3*b*c*e^3)/8 + (3*b*c^2*d^2*e*log(f))/4 - (3*b^2*c*d*e^2*log(f))/8))/(c^3*log(f)*(c*log(f))^(1/2)) - (f^a*f^(c*x^2)*f^(b*x)*x*(b*e^3 - 6*c*d*e^2))/(4*c^2*log(f)) - f^a*f^(c*x^2)*f^(b*x)*(e^3/(2*c^2*log(f)^2) - (3*d^2*e)/(2*c*log(f)) - (b^2*e^3)/(8*c^3*log(f)) + (3*b*d*e^2)/(4*c^2*log(f)))","B"
445,1,153,189,3.849857,"\text{Not used}","int(f^(a + b*x + c*x^2)*(d + e*x)^2,x)","f^a\,f^{c\,x^2}\,f^{b\,x}\,\left(\frac{d\,e}{c\,\ln\left(f\right)}-\frac{b\,e^2}{4\,c^2\,\ln\left(f\right)}\right)+\frac{e^2\,f^a\,f^{c\,x^2}\,f^{b\,x}\,x}{2\,c\,\ln\left(f\right)}-\frac{f^{a-\frac{b^2}{4\,c}}\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{\frac{b\,\ln\left(f\right)}{2}+c\,x\,\ln\left(f\right)}{\sqrt{c\,\ln\left(f\right)}}\right)\,\left(-\frac{\ln\left(f\right)\,b^2\,e^2}{8}+\frac{\ln\left(f\right)\,b\,c\,d\,e}{2}-\frac{\ln\left(f\right)\,c^2\,d^2}{2}+\frac{c\,e^2}{4}\right)}{c^2\,\ln\left(f\right)\,\sqrt{c\,\ln\left(f\right)}}","Not used",1,"f^a*f^(c*x^2)*f^(b*x)*((d*e)/(c*log(f)) - (b*e^2)/(4*c^2*log(f))) + (e^2*f^a*f^(c*x^2)*f^(b*x)*x)/(2*c*log(f)) - (f^(a - b^2/(4*c))*pi^(1/2)*erfi(((b*log(f))/2 + c*x*log(f))/(c*log(f))^(1/2))*((c*e^2)/4 - (b^2*e^2*log(f))/8 - (c^2*d^2*log(f))/2 + (b*c*d*e*log(f))/2))/(c^2*log(f)*(c*log(f))^(1/2))","B"
446,1,80,90,3.705300,"\text{Not used}","int(f^(a + b*x + c*x^2)*(d + e*x),x)","\frac{e\,f^a\,f^{c\,x^2}\,f^{b\,x}}{2\,c\,\ln\left(f\right)}-\frac{f^{a-\frac{b^2}{4\,c}}\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{\frac{b\,\ln\left(f\right)}{2}+c\,x\,\ln\left(f\right)}{\sqrt{c\,\ln\left(f\right)}}\right)\,\left(\frac{b\,e}{4}-\frac{c\,d}{2}\right)}{c\,\sqrt{c\,\ln\left(f\right)}}","Not used",1,"(e*f^a*f^(c*x^2)*f^(b*x))/(2*c*log(f)) - (f^(a - b^2/(4*c))*pi^(1/2)*erfi(((b*log(f))/2 + c*x*log(f))/(c*log(f))^(1/2))*((b*e)/4 - (c*d)/2))/(c*(c*log(f))^(1/2))","B"
447,0,-1,23,0.000000,"\text{Not used}","int(f^(a + b*x + c*x^2)/(d + e*x),x)","\int \frac{f^{c\,x^2+b\,x+a}}{d+e\,x} \,d x","Not used",0,"int(f^(a + b*x + c*x^2)/(d + e*x), x)","F"
448,0,-1,120,0.000000,"\text{Not used}","int(f^(a + b*x + c*x^2)/(d + e*x)^2,x)","\int \frac{f^{c\,x^2+b\,x+a}}{{\left(d+e\,x\right)}^2} \,d x","Not used",0,"int(f^(a + b*x + c*x^2)/(d + e*x)^2, x)","F"
449,0,-1,207,0.000000,"\text{Not used}","int(f^(a + b*x + c*x^2)/(d + e*x)^3,x)","\int \frac{f^{c\,x^2+b\,x+a}}{{\left(d+e\,x\right)}^3} \,d x","Not used",0,"int(f^(a + b*x + c*x^2)/(d + e*x)^3, x)","F"
450,1,44,45,3.809625,"\text{Not used}","int(f^(a + b*x + c*x^2)*(b + 2*c*x)^3,x)","\frac{f^{c\,x^2+b\,x+a}\,\left(\ln\left(f\right)\,b^2+4\,\ln\left(f\right)\,b\,c\,x+4\,\ln\left(f\right)\,c^2\,x^2-4\,c\right)}{{\ln\left(f\right)}^2}","Not used",1,"(f^(a + b*x + c*x^2)*(b^2*log(f) - 4*c + 4*c^2*x^2*log(f) + 4*b*c*x*log(f)))/log(f)^2","B"
451,1,92,78,3.793257,"\text{Not used}","int(f^(a + b*x + c*x^2)*(b + 2*c*x)^2,x)","\frac{b\,f^a\,f^{c\,x^2}\,f^{b\,x}}{\ln\left(f\right)}-\frac{c\,f^{a-\frac{b^2}{4\,c}}\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{\frac{b\,\ln\left(f\right)}{2}+c\,x\,\ln\left(f\right)}{\sqrt{c\,\ln\left(f\right)}}\right)}{\ln\left(f\right)\,\sqrt{c\,\ln\left(f\right)}}+\frac{2\,c\,f^a\,f^{c\,x^2}\,f^{b\,x}\,x}{\ln\left(f\right)}","Not used",1,"(b*f^a*f^(c*x^2)*f^(b*x))/log(f) - (c*f^(a - b^2/(4*c))*pi^(1/2)*erfi(((b*log(f))/2 + c*x*log(f))/(c*log(f))^(1/2)))/(log(f)*(c*log(f))^(1/2)) + (2*c*f^a*f^(c*x^2)*f^(b*x)*x)/log(f)","B"
452,1,17,17,3.623683,"\text{Not used}","int(f^(a + b*x + c*x^2)*(b + 2*c*x),x)","\frac{f^{c\,x^2+b\,x+a}}{\ln\left(f\right)}","Not used",1,"f^(a + b*x + c*x^2)/log(f)","B"
453,0,-1,39,0.000000,"\text{Not used}","int(f^(a + b*x + c*x^2)/(b + 2*c*x),x)","\int \frac{f^{c\,x^2+b\,x+a}}{b+2\,c\,x} \,d x","Not used",1,"int(f^(a + b*x + c*x^2)/(b + 2*c*x), x)","F"
454,1,76,84,4.142369,"\text{Not used}","int(f^(a + b*x + c*x^2)/(b + 2*c*x)^2,x)","\frac{f^{a-\frac{b^2}{4\,c}}\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{\frac{b\,\ln\left(f\right)}{2}+c\,x\,\ln\left(f\right)}{\sqrt{c\,\ln\left(f\right)}}\right)\,\ln\left(f\right)}{4\,c\,\sqrt{c\,\ln\left(f\right)}}-\frac{f^a\,f^{c\,x^2}\,f^{b\,x}}{2\,c\,\left(b+2\,c\,x\right)}","Not used",1,"(f^(a - b^2/(4*c))*pi^(1/2)*erfi(((b*log(f))/2 + c*x*log(f))/(c*log(f))^(1/2))*log(f))/(4*c*(c*log(f))^(1/2)) - (f^a*f^(c*x^2)*f^(b*x))/(2*c*(b + 2*c*x))","B"
455,0,-1,69,0.000000,"\text{Not used}","int(f^(a + b*x + c*x^2)/(b + 2*c*x)^3,x)","\int \frac{f^{c\,x^2+b\,x+a}}{{\left(b+2\,c\,x\right)}^3} \,d x","Not used",1,"int(f^(a + b*x + c*x^2)/(b + 2*c*x)^3, x)","F"
456,1,43,43,3.687583,"\text{Not used}","int(f^(b*x + c*x^2)*(b + 2*c*x)^3,x)","\frac{f^{c\,x^2+b\,x}\,\left(\ln\left(f\right)\,b^2+4\,\ln\left(f\right)\,b\,c\,x+4\,\ln\left(f\right)\,c^2\,x^2-4\,c\right)}{{\ln\left(f\right)}^2}","Not used",1,"(f^(b*x + c*x^2)*(b^2*log(f) - 4*c + 4*c^2*x^2*log(f) + 4*b*c*x*log(f)))/log(f)^2","B"
457,1,86,75,3.646514,"\text{Not used}","int(f^(b*x + c*x^2)*(b + 2*c*x)^2,x)","\frac{b\,f^{c\,x^2}\,f^{b\,x}}{\ln\left(f\right)}+\frac{2\,c\,f^{c\,x^2}\,f^{b\,x}\,x}{\ln\left(f\right)}-\frac{c\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{\frac{b\,\ln\left(f\right)}{2}+c\,x\,\ln\left(f\right)}{\sqrt{c\,\ln\left(f\right)}}\right)}{f^{\frac{b^2}{4\,c}}\,\ln\left(f\right)\,\sqrt{c\,\ln\left(f\right)}}","Not used",1,"(b*f^(c*x^2)*f^(b*x))/log(f) + (2*c*f^(c*x^2)*f^(b*x)*x)/log(f) - (c*pi^(1/2)*erfi(((b*log(f))/2 + c*x*log(f))/(c*log(f))^(1/2)))/(f^(b^2/(4*c))*log(f)*(c*log(f))^(1/2))","B"
458,1,16,16,3.515807,"\text{Not used}","int(f^(b*x + c*x^2)*(b + 2*c*x),x)","\frac{f^{c\,x^2+b\,x}}{\ln\left(f\right)}","Not used",1,"f^(b*x + c*x^2)/log(f)","B"
459,0,-1,37,0.000000,"\text{Not used}","int(f^(b*x + c*x^2)/(b + 2*c*x),x)","\int \frac{f^{c\,x^2+b\,x}}{b+2\,c\,x} \,d x","Not used",1,"int(f^(b*x + c*x^2)/(b + 2*c*x), x)","F"
460,1,73,81,3.780701,"\text{Not used}","int(f^(b*x + c*x^2)/(b + 2*c*x)^2,x)","\frac{\sqrt{\pi }\,\mathrm{erfi}\left(\frac{\frac{b\,\ln\left(f\right)}{2}+c\,x\,\ln\left(f\right)}{\sqrt{c\,\ln\left(f\right)}}\right)\,\ln\left(f\right)}{4\,c\,f^{\frac{b^2}{4\,c}}\,\sqrt{c\,\ln\left(f\right)}}-\frac{f^{c\,x^2}\,f^{b\,x}}{2\,c\,\left(b+2\,c\,x\right)}","Not used",1,"(pi^(1/2)*erfi(((b*log(f))/2 + c*x*log(f))/(c*log(f))^(1/2))*log(f))/(4*c*f^(b^2/(4*c))*(c*log(f))^(1/2)) - (f^(c*x^2)*f^(b*x))/(2*c*(b + 2*c*x))","B"
461,0,-1,66,0.000000,"\text{Not used}","int(f^(b*x + c*x^2)/(b + 2*c*x)^3,x)","\int \frac{f^{c\,x^2+b\,x}}{{\left(b+2\,c\,x\right)}^3} \,d x","Not used",1,"int(f^(b*x + c*x^2)/(b + 2*c*x)^3, x)","F"
462,0,-1,145,0.000000,"\text{Not used}","int(exp(a + b*x)/(x^2*(c + d*x^2)),x)","\int \frac{{\mathrm{e}}^{a+b\,x}}{x^2\,\left(d\,x^2+c\right)} \,d x","Not used",1,"int(exp(a + b*x)/(x^2*(c + d*x^2)), x)","F"
463,0,-1,111,0.000000,"\text{Not used}","int(exp(a + b*x)/(x*(c + d*x^2)),x)","\int \frac{{\mathrm{e}}^{a+b\,x}}{x\,\left(d\,x^2+c\right)} \,d x","Not used",1,"int(exp(a + b*x)/(x*(c + d*x^2)), x)","F"
464,0,-1,118,0.000000,"\text{Not used}","int(exp(a + b*x)/(c + d*x^2),x)","\int \frac{{\mathrm{e}}^{a+b\,x}}{d\,x^2+c} \,d x","Not used",1,"int(exp(a + b*x)/(c + d*x^2), x)","F"
465,0,-1,100,0.000000,"\text{Not used}","int((x*exp(a + b*x))/(c + d*x^2),x)","\int \frac{x\,{\mathrm{e}}^{a+b\,x}}{d\,x^2+c} \,d x","Not used",1,"int((x*exp(a + b*x))/(c + d*x^2), x)","F"
466,0,-1,132,0.000000,"\text{Not used}","int((x^2*exp(a + b*x))/(c + d*x^2),x)","\int \frac{x^2\,{\mathrm{e}}^{a+b\,x}}{d\,x^2+c} \,d x","Not used",1,"int((x^2*exp(a + b*x))/(c + d*x^2), x)","F"
467,0,-1,212,0.000000,"\text{Not used}","int(exp(d + e*x)/(x^2*(a + b*x + c*x^2)),x)","\int \frac{{\mathrm{e}}^{d+e\,x}}{x^2\,\left(c\,x^2+b\,x+a\right)} \,d x","Not used",1,"int(exp(d + e*x)/(x^2*(a + b*x + c*x^2)), x)","F"
468,0,-1,169,0.000000,"\text{Not used}","int(exp(d + e*x)/(x*(a + b*x + c*x^2)),x)","\int \frac{{\mathrm{e}}^{d+e\,x}}{x\,\left(c\,x^2+b\,x+a\right)} \,d x","Not used",1,"int(exp(d + e*x)/(x*(a + b*x + c*x^2)), x)","F"
469,0,-1,138,0.000000,"\text{Not used}","int(exp(d + e*x)/(a + b*x + c*x^2),x)","\int \frac{{\mathrm{e}}^{d+e\,x}}{c\,x^2+b\,x+a} \,d x","Not used",1,"int(exp(d + e*x)/(a + b*x + c*x^2), x)","F"
470,0,-1,158,0.000000,"\text{Not used}","int((x*exp(d + e*x))/(a + b*x + c*x^2),x)","\int \frac{x\,{\mathrm{e}}^{d+e\,x}}{c\,x^2+b\,x+a} \,d x","Not used",1,"int((x*exp(d + e*x))/(a + b*x + c*x^2), x)","F"
471,0,-1,186,0.000000,"\text{Not used}","int((x^2*exp(d + e*x))/(a + b*x + c*x^2),x)","\int \frac{x^2\,{\mathrm{e}}^{d+e\,x}}{c\,x^2+b\,x+a} \,d x","Not used",1,"int((x^2*exp(d + e*x))/(a + b*x + c*x^2), x)","F"
472,0,-1,232,0.000000,"\text{Not used}","int((x^3*exp(d + e*x))/(a + b*x + c*x^2),x)","\int \frac{x^3\,{\mathrm{e}}^{d+e\,x}}{c\,x^2+b\,x+a} \,d x","Not used",1,"int((x^3*exp(d + e*x))/(a + b*x + c*x^2), x)","F"
473,1,26,30,3.595603,"\text{Not used}","int(4^x/(a + 2^x*b),x)","-\frac{a\,\ln\left(a+2^x\,b\right)-2^x\,b}{b^2\,\ln\left(2\right)}","Not used",1,"-(a*log(a + 2^x*b) - 2^x*b)/(b^2*log(2))","B"
474,1,26,30,3.605967,"\text{Not used}","int(2^(2*x)/(a + 2^x*b),x)","-\frac{a\,\ln\left(a+2^x\,b\right)-2^x\,b}{b^2\,\ln\left(2\right)}","Not used",1,"-(a*log(a + 2^x*b) - 2^x*b)/(b^2*log(2))","B"
475,1,27,32,3.614087,"\text{Not used}","int(4^x/(a - 2^x*b),x)","-\frac{2^x\,b+a\,\ln\left(2^x\,b-a\right)}{b^2\,\ln\left(2\right)}","Not used",1,"-(2^x*b + a*log(2^x*b - a))/(b^2*log(2))","B"
476,1,27,32,3.578391,"\text{Not used}","int(2^(2*x)/(a - 2^x*b),x)","-\frac{2^x\,b+a\,\ln\left(2^x\,b-a\right)}{b^2\,\ln\left(2\right)}","Not used",1,"-(2^x*b + a*log(2^x*b - a))/(b^2*log(2))","B"
477,0,-1,58,0.000000,"\text{Not used}","int(4^x/(a + b/2^x),x)","\int \frac{4^x}{a+\frac{b}{2^x}} \,d x","Not used",1,"int(4^x/(a + b/2^x), x)","F"
478,1,47,58,3.681403,"\text{Not used}","int(2^(2*x)/(a + b/2^x),x)","\frac{2^{2\,x}}{2\,a\,\ln\left(2\right)}-\frac{2^x\,b}{a^2\,\ln\left(2\right)}+\frac{b^2\,\ln\left(b+2^x\,a\right)}{a^3\,\ln\left(2\right)}","Not used",1,"2^(2*x)/(2*a*log(2)) - (2^x*b)/(a^2*log(2)) + (b^2*log(b + 2^x*a))/(a^3*log(2))","B"
479,0,-1,58,0.000000,"\text{Not used}","int(4^x/(a - b/2^x),x)","\int \frac{4^x}{a-\frac{b}{2^x}} \,d x","Not used",1,"int(4^x/(a - b/2^x), x)","F"
480,1,47,58,3.651889,"\text{Not used}","int(2^(2*x)/(a - b/2^x),x)","\frac{2^{2\,x}}{2\,a\,\ln\left(2\right)}+\frac{2^x\,b}{a^2\,\ln\left(2\right)}+\frac{b^2\,\ln\left(b-2^x\,a\right)}{a^3\,\ln\left(2\right)}","Not used",1,"2^(2*x)/(2*a*log(2)) + (2^x*b)/(a^2*log(2)) + (b^2*log(b - 2^x*a))/(a^3*log(2))","B"
481,1,22,30,3.544351,"\text{Not used}","int(2^x/(a + 4^x*b),x)","\frac{\mathrm{atan}\left(\frac{2^x\,\sqrt{b}}{\sqrt{a}}\right)}{\sqrt{a}\,\sqrt{b}\,\ln\left(2\right)}","Not used",1,"atan((2^x*b^(1/2))/a^(1/2))/(a^(1/2)*b^(1/2)*log(2))","B"
482,1,22,30,3.583224,"\text{Not used}","int(2^x/(a + 2^(2*x)*b),x)","\frac{\mathrm{atan}\left(\frac{2^x\,\sqrt{b}}{\sqrt{a}}\right)}{\sqrt{a}\,\sqrt{b}\,\ln\left(2\right)}","Not used",1,"atan((2^x*b^(1/2))/a^(1/2))/(a^(1/2)*b^(1/2)*log(2))","B"
483,1,22,30,3.783699,"\text{Not used}","int(2^x/(a - 4^x*b),x)","\frac{\mathrm{atanh}\left(\frac{2^x\,\sqrt{b}}{\sqrt{a}}\right)}{\sqrt{a}\,\sqrt{b}\,\ln\left(2\right)}","Not used",1,"atanh((2^x*b^(1/2))/a^(1/2))/(a^(1/2)*b^(1/2)*log(2))","B"
484,1,22,30,3.586940,"\text{Not used}","int(2^x/(a - 2^(2*x)*b),x)","\frac{\mathrm{atanh}\left(\frac{2^x\,\sqrt{b}}{\sqrt{a}}\right)}{\sqrt{a}\,\sqrt{b}\,\ln\left(2\right)}","Not used",1,"atanh((2^x*b^(1/2))/a^(1/2))/(a^(1/2)*b^(1/2)*log(2))","B"
485,1,35,43,3.606254,"\text{Not used}","int(2^x/(a + b/4^x),x)","\frac{2^x}{a\,\ln\left(2\right)}-\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{2^x\,\sqrt{a}}{\sqrt{b}}\right)}{a^{3/2}\,\ln\left(2\right)}","Not used",1,"2^x/(a*log(2)) - (b^(1/2)*atan((2^x*a^(1/2))/b^(1/2)))/(a^(3/2)*log(2))","B"
486,1,35,43,3.539020,"\text{Not used}","int(2^x/(a + b/2^(2*x)),x)","\frac{2^x}{a\,\ln\left(2\right)}-\frac{\sqrt{b}\,\mathrm{atan}\left(\frac{2^x\,\sqrt{a}}{\sqrt{b}}\right)}{a^{3/2}\,\ln\left(2\right)}","Not used",1,"2^x/(a*log(2)) - (b^(1/2)*atan((2^x*a^(1/2))/b^(1/2)))/(a^(3/2)*log(2))","B"
487,1,35,43,3.675664,"\text{Not used}","int(2^x/(a - b/4^x),x)","\frac{2^x}{a\,\ln\left(2\right)}-\frac{\sqrt{b}\,\mathrm{atanh}\left(\frac{2^x\,\sqrt{a}}{\sqrt{b}}\right)}{a^{3/2}\,\ln\left(2\right)}","Not used",1,"2^x/(a*log(2)) - (b^(1/2)*atanh((2^x*a^(1/2))/b^(1/2)))/(a^(3/2)*log(2))","B"
488,1,35,43,3.618972,"\text{Not used}","int(2^x/(a - b/2^(2*x)),x)","\frac{2^x}{a\,\ln\left(2\right)}-\frac{\sqrt{b}\,\mathrm{atanh}\left(\frac{2^x\,\sqrt{a}}{\sqrt{b}}\right)}{a^{3/2}\,\ln\left(2\right)}","Not used",1,"2^x/(a*log(2)) - (b^(1/2)*atanh((2^x*a^(1/2))/b^(1/2)))/(a^(3/2)*log(2))","B"
489,1,28,31,3.677524,"\text{Not used}","int(2^x/(a + 4^x*b)^(1/2),x)","\frac{\ln\left(\sqrt{a+2^{2\,x}\,b}+2^x\,\sqrt{b}\right)}{\sqrt{b}\,\ln\left(2\right)}","Not used",1,"log((a + 2^(2*x)*b)^(1/2) + 2^x*b^(1/2))/(b^(1/2)*log(2))","B"
490,1,28,31,3.713337,"\text{Not used}","int(2^x/(a + 2^(2*x)*b)^(1/2),x)","\frac{\ln\left(\sqrt{a+2^{2\,x}\,b}+2^x\,\sqrt{b}\right)}{\sqrt{b}\,\ln\left(2\right)}","Not used",1,"log((a + 2^(2*x)*b)^(1/2) + 2^x*b^(1/2))/(b^(1/2)*log(2))","B"
491,1,33,32,3.773894,"\text{Not used}","int(2^x/(a - 4^x*b)^(1/2),x)","\frac{\ln\left(\sqrt{a-2^{2\,x}\,b}+2^x\,\sqrt{-b}\right)}{\sqrt{-b}\,\ln\left(2\right)}","Not used",1,"log((a - 2^(2*x)*b)^(1/2) + 2^x*(-b)^(1/2))/((-b)^(1/2)*log(2))","B"
492,1,33,32,3.634481,"\text{Not used}","int(2^x/(a - 2^(2*x)*b)^(1/2),x)","\frac{\ln\left(\sqrt{a-2^{2\,x}\,b}+2^x\,\sqrt{-b}\right)}{\sqrt{-b}\,\ln\left(2\right)}","Not used",1,"log((a - 2^(2*x)*b)^(1/2) + 2^x*(-b)^(1/2))/((-b)^(1/2)*log(2))","B"
493,1,24,24,3.506630,"\text{Not used}","int(2^x/(a + b/4^x)^(1/2),x)","\frac{2^x\,\sqrt{a+\frac{b}{2^{2\,x}}}}{a\,\ln\left(2\right)}","Not used",1,"(2^x*(a + b/2^(2*x))^(1/2))/(a*log(2))","B"
494,1,24,24,3.548904,"\text{Not used}","int(2^x/(a + b/2^(2*x))^(1/2),x)","\frac{2^x\,\sqrt{a+\frac{b}{2^{2\,x}}}}{a\,\ln\left(2\right)}","Not used",1,"(2^x*(a + b/2^(2*x))^(1/2))/(a*log(2))","B"
495,1,25,25,3.556028,"\text{Not used}","int(2^x/(a - b/4^x)^(1/2),x)","\frac{2^x\,\sqrt{a-\frac{b}{2^{2\,x}}}}{a\,\ln\left(2\right)}","Not used",1,"(2^x*(a - b/2^(2*x))^(1/2))/(a*log(2))","B"
496,1,25,25,3.512250,"\text{Not used}","int(2^x/(a - b/2^(2*x))^(1/2),x)","\frac{2^x\,\sqrt{a-\frac{b}{2^{2\,x}}}}{a\,\ln\left(2\right)}","Not used",1,"(2^x*(a - b/2^(2*x))^(1/2))/(a*log(2))","B"
497,1,28,44,3.681475,"\text{Not used}","int(4^x/(a + 2^x*b)^(1/2),x)","-\frac{2\,\sqrt{a+2^x\,b}\,\left(2\,a-2^x\,b\right)}{3\,b^2\,\ln\left(2\right)}","Not used",1,"-(2*(a + 2^x*b)^(1/2)*(2*a - 2^x*b))/(3*b^2*log(2))","B"
498,1,28,44,3.617649,"\text{Not used}","int(2^(2*x)/(a + 2^x*b)^(1/2),x)","-\frac{2\,\sqrt{a+2^x\,b}\,\left(2\,a-2^x\,b\right)}{3\,b^2\,\ln\left(2\right)}","Not used",1,"-(2*(a + 2^x*b)^(1/2)*(2*a - 2^x*b))/(3*b^2*log(2))","B"
499,1,28,46,3.644249,"\text{Not used}","int(4^x/(a - 2^x*b)^(1/2),x)","-\frac{2\,\sqrt{a-2^x\,b}\,\left(2\,a+2^x\,b\right)}{3\,b^2\,\ln\left(2\right)}","Not used",1,"-(2*(a - 2^x*b)^(1/2)*(2*a + 2^x*b))/(3*b^2*log(2))","B"
500,1,28,46,3.536097,"\text{Not used}","int(2^(2*x)/(a - 2^x*b)^(1/2),x)","-\frac{2\,\sqrt{a-2^x\,b}\,\left(2\,a+2^x\,b\right)}{3\,b^2\,\ln\left(2\right)}","Not used",1,"-(2*(a - 2^x*b)^(1/2)*(2*a + 2^x*b))/(3*b^2*log(2))","B"
501,0,-1,93,0.000000,"\text{Not used}","int(4^x/(a + b/2^x)^(1/2),x)","\int \frac{4^x}{\sqrt{a+\frac{b}{2^x}}} \,d x","Not used",1,"int(4^x/(a + b/2^x)^(1/2), x)","F"
502,0,-1,93,0.000000,"\text{Not used}","int(2^(2*x)/(a + b/2^x)^(1/2),x)","\int \frac{2^{2\,x}}{\sqrt{a+\frac{b}{2^x}}} \,d x","Not used",1,"int(2^(2*x)/(a + b/2^x)^(1/2), x)","F"
503,0,-1,96,0.000000,"\text{Not used}","int(4^x/(a - b/2^x)^(1/2),x)","\int \frac{4^x}{\sqrt{a-\frac{b}{2^x}}} \,d x","Not used",1,"int(4^x/(a - b/2^x)^(1/2), x)","F"
504,0,-1,96,0.000000,"\text{Not used}","int(2^(2*x)/(a - b/2^x)^(1/2),x)","\int \frac{2^{2\,x}}{\sqrt{a-\frac{b}{2^x}}} \,d x","Not used",1,"int(2^(2*x)/(a - b/2^x)^(1/2), x)","F"
505,1,15,17,3.263953,"\text{Not used}","int(1/(exp(2*x) + 2*exp(x) + 1),x)","x-\ln\left({\mathrm{e}}^x+1\right)+\frac{1}{{\mathrm{e}}^x+1}","Not used",1,"x - log(exp(x) + 1) + 1/(exp(x) + 1)","B"
506,1,18,24,0.074642,"\text{Not used}","int(1/(exp(2*x) + 3*exp(x) + 2),x)","\frac{x}{2}-\ln\left({\mathrm{e}}^x+1\right)+\frac{\ln\left({\mathrm{e}}^x+2\right)}{2}","Not used",1,"x/2 - log(exp(x) + 1) + log(exp(x) + 2)/2","B"
507,1,32,56,3.695381,"\text{Not used}","int(1/(exp(2*x) + exp(x) - 1),x)","\frac{\ln\left({\mathrm{e}}^{2\,x}+{\mathrm{e}}^x-1\right)}{2}-x-\frac{\sqrt{5}\,\mathrm{atanh}\left(\frac{\sqrt{5}\,\left(2\,{\mathrm{e}}^x+1\right)}{5}\right)}{5}","Not used",1,"log(exp(2*x) + exp(x) - 1)/2 - x - (5^(1/2)*atanh((5^(1/2)*(2*exp(x) + 1))/5))/5","B"
508,1,34,44,3.517828,"\text{Not used}","int(1/(exp(2*x) + 3*exp(x) + 3),x)","\frac{x}{3}-\frac{\ln\left({\mathrm{e}}^{2\,x}+3\,{\mathrm{e}}^x+3\right)}{6}-\frac{\sqrt{3}\,\mathrm{atan}\left(\sqrt{3}+\frac{2\,\sqrt{3}\,{\mathrm{e}}^x}{3}\right)}{3}","Not used",1,"x/3 - log(exp(2*x) + 3*exp(x) + 3)/6 - (3^(1/2)*atan(3^(1/2) + (2*3^(1/2)*exp(x))/3))/3","B"
509,1,63,67,0.231887,"\text{Not used}","int(1/(a + b*exp(x) + c*exp(2*x)),x)","\frac{x}{a}-\frac{\ln\left(a+b\,{\mathrm{e}}^x+c\,{\mathrm{e}}^{2\,x}\right)}{2\,a}-\frac{b\,\mathrm{atan}\left(\frac{b+2\,c\,{\mathrm{e}}^x}{\sqrt{4\,a\,c-b^2}}\right)}{a\,\sqrt{4\,a\,c-b^2}}","Not used",1,"x/a - log(a + b*exp(x) + c*exp(2*x))/(2*a) - (b*atan((b + 2*c*exp(x))/(4*a*c - b^2)^(1/2)))/(a*(4*a*c - b^2)^(1/2))","B"
510,0,-1,44,0.000000,"\text{Not used}","int(x/(exp(2*x) + 2*exp(x) + 1),x)","\int \frac{x}{{\mathrm{e}}^{2\,x}+2\,{\mathrm{e}}^x+1} \,d x","Not used",1,"int(x/(exp(2*x) + 2*exp(x) + 1), x)","F"
511,0,-1,54,0.000000,"\text{Not used}","int(x/(exp(2*x) + 3*exp(x) + 2),x)","\int \frac{x}{{\mathrm{e}}^{2\,x}+3\,{\mathrm{e}}^x+2} \,d x","Not used",1,"int(x/(exp(2*x) + 3*exp(x) + 2), x)","F"
512,0,-1,180,0.000000,"\text{Not used}","int(x/(exp(2*x) + exp(x) - 1),x)","\int \frac{x}{{\mathrm{e}}^{2\,x}+{\mathrm{e}}^x-1} \,d x","Not used",1,"int(x/(exp(2*x) + exp(x) - 1), x)","F"
513,0,-1,204,0.000000,"\text{Not used}","int(x/(exp(2*x) + 3*exp(x) + 3),x)","\int \frac{x}{{\mathrm{e}}^{2\,x}+3\,{\mathrm{e}}^x+3} \,d x","Not used",1,"int(x/(exp(2*x) + 3*exp(x) + 3), x)","F"
514,0,-1,276,0.000000,"\text{Not used}","int(x/(a + b*exp(x) + c*exp(2*x)),x)","\int \frac{x}{a+b\,{\mathrm{e}}^x+c\,{\mathrm{e}}^{2\,x}} \,d x","Not used",1,"int(x/(a + b*exp(x) + c*exp(2*x)), x)","F"
515,0,-1,72,0.000000,"\text{Not used}","int(x^2/(exp(2*x) + 2*exp(x) + 1),x)","\int \frac{x^2}{{\mathrm{e}}^{2\,x}+2\,{\mathrm{e}}^x+1} \,d x","Not used",1,"int(x^2/(exp(2*x) + 2*exp(x) + 1), x)","F"
516,0,-1,77,0.000000,"\text{Not used}","int(x^2/(exp(2*x) + 3*exp(x) + 2),x)","\int \frac{x^2}{{\mathrm{e}}^{2\,x}+3\,{\mathrm{e}}^x+2} \,d x","Not used",1,"int(x^2/(exp(2*x) + 3*exp(x) + 2), x)","F"
517,0,-1,259,0.000000,"\text{Not used}","int(x^2/(exp(2*x) + exp(x) - 1),x)","\int \frac{x^2}{{\mathrm{e}}^{2\,x}+{\mathrm{e}}^x-1} \,d x","Not used",1,"int(x^2/(exp(2*x) + exp(x) - 1), x)","F"
518,0,-1,293,0.000000,"\text{Not used}","int(x^2/(exp(2*x) + 3*exp(x) + 3),x)","\int \frac{x^2}{{\mathrm{e}}^{2\,x}+3\,{\mathrm{e}}^x+3} \,d x","Not used",1,"int(x^2/(exp(2*x) + 3*exp(x) + 3), x)","F"
519,0,-1,391,0.000000,"\text{Not used}","int(x^2/(a + b*exp(x) + c*exp(2*x)),x)","\int \frac{x^2}{a+b\,{\mathrm{e}}^x+c\,{\mathrm{e}}^{2\,x}} \,d x","Not used",1,"int(x^2/(a + b*exp(x) + c*exp(2*x)), x)","F"
520,1,50,40,3.520377,"\text{Not used}","int(1/(f^(2*c + 2*d*x) + 2*f^(c + d*x) + 1),x)","\frac{1}{d\,\ln\left(f\right)\,\left(f^{d\,x}\,f^c+1\right)}-\frac{\ln\left(f^{d\,x}\,f^c+1\right)-d\,x\,\ln\left(f\right)}{d\,\ln\left(f\right)}","Not used",1,"1/(d*log(f)*(f^(d*x)*f^c + 1)) - (log(f^(d*x)*f^c + 1) - d*x*log(f))/(d*log(f))","B"
521,1,96,94,3.667701,"\text{Not used}","int(1/(a + b*f^(c + d*x) + c*f^(2*c + 2*d*x)),x)","\frac{x}{a}-\frac{\ln\left(a+c\,f^{2\,d\,x}\,f^{2\,c}+b\,f^{d\,x}\,f^c\right)}{2\,a\,d\,\ln\left(f\right)}-\frac{b\,\mathrm{atan}\left(\frac{b+2\,c\,f^{d\,x}\,f^c}{\sqrt{4\,a\,c-b^2}}\right)}{a\,d\,\ln\left(f\right)\,\sqrt{4\,a\,c-b^2}}","Not used",1,"x/a - log(a + c*f^(2*d*x)*f^(2*c) + b*f^(d*x)*f^c)/(2*a*d*log(f)) - (b*atan((b + 2*c*f^(d*x)*f^c)/(4*a*c - b^2)^(1/2)))/(a*d*log(f)*(4*a*c - b^2)^(1/2))","B"
522,1,96,94,3.805717,"\text{Not used}","int(1/(a + b*f^(g + h*x) + c*f^(2*g + 2*h*x)),x)","\frac{x}{a}-\frac{\ln\left(a+c\,f^{2\,h\,x}\,f^{2\,g}+b\,f^{h\,x}\,f^g\right)}{2\,a\,h\,\ln\left(f\right)}-\frac{b\,\mathrm{atan}\left(\frac{b+2\,c\,f^{h\,x}\,f^g}{\sqrt{4\,a\,c-b^2}}\right)}{a\,h\,\ln\left(f\right)\,\sqrt{4\,a\,c-b^2}}","Not used",1,"x/a - log(a + c*f^(2*h*x)*f^(2*g) + b*f^(h*x)*f^g)/(2*a*h*log(f)) - (b*atan((b + 2*c*f^(h*x)*f^g)/(4*a*c - b^2)^(1/2)))/(a*h*log(f)*(4*a*c - b^2)^(1/2))","B"
523,0,-1,96,0.000000,"\text{Not used}","int(x/(f^(2*c + 2*d*x) + 2*f^(c + d*x) + 1),x)","\int \frac{x}{f^{2\,c+2\,d\,x}+2\,f^{c+d\,x}+1} \,d x","Not used",1,"int(x/(f^(2*c + 2*d*x) + 2*f^(c + d*x) + 1), x)","F"
524,0,-1,338,0.000000,"\text{Not used}","int(x/(a + b*f^(c + d*x) + c*f^(2*c + 2*d*x)),x)","\int \frac{x}{a+b\,f^{c+d\,x}+c\,f^{2\,c+2\,d\,x}} \,d x","Not used",1,"int(x/(a + b*f^(c + d*x) + c*f^(2*c + 2*d*x)), x)","F"
525,0,-1,145,0.000000,"\text{Not used}","int(x^2/(f^(2*c + 2*d*x) + 2*f^(c + d*x) + 1),x)","\int \frac{x^2}{f^{2\,c+2\,d\,x}+2\,f^{c+d\,x}+1} \,d x","Not used",1,"int(x^2/(f^(2*c + 2*d*x) + 2*f^(c + d*x) + 1), x)","F"
526,0,-1,484,0.000000,"\text{Not used}","int(x^2/(a + b*f^(c + d*x) + c*f^(2*c + 2*d*x)),x)","\int \frac{x^2}{a+b\,f^{c+d\,x}+c\,f^{2\,c+2\,d\,x}} \,d x","Not used",1,"int(x^2/(a + b*f^(c + d*x) + c*f^(2*c + 2*d*x)), x)","F"
527,1,105,103,3.806815,"\text{Not used}","int((d + e*f^(g + h*x))/(a + b*f^(g + h*x) + c*f^(2*g + 2*h*x)),x)","\frac{d\,x}{a}-\frac{d\,\ln\left(a+c\,f^{2\,h\,x}\,f^{2\,g}+b\,f^{h\,x}\,f^g\right)}{2\,a\,h\,\ln\left(f\right)}+\frac{\mathrm{atan}\left(\frac{b+2\,c\,f^{h\,x}\,f^g}{\sqrt{4\,a\,c-b^2}}\right)\,\left(2\,a\,e-b\,d\right)}{a\,h\,\ln\left(f\right)\,\sqrt{4\,a\,c-b^2}}","Not used",1,"(d*x)/a - (d*log(a + c*f^(2*h*x)*f^(2*g) + b*f^(h*x)*f^g))/(2*a*h*log(f)) + (atan((b + 2*c*f^(h*x)*f^g)/(4*a*c - b^2)^(1/2))*(2*a*e - b*d))/(a*h*log(f)*(4*a*c - b^2)^(1/2))","B"
528,1,105,103,0.002179,"\text{Not used}","int((d + e*f^(g + h*x))/(a + b*f^(g + h*x) + c*f^(2*g + 2*h*x)),x)","\frac{d\,x}{a}-\frac{d\,\ln\left(a+c\,f^{2\,h\,x}\,f^{2\,g}+b\,f^{h\,x}\,f^g\right)}{2\,a\,h\,\ln\left(f\right)}+\frac{\mathrm{atan}\left(\frac{b+2\,c\,f^{h\,x}\,f^g}{\sqrt{4\,a\,c-b^2}}\right)\,\left(2\,a\,e-b\,d\right)}{a\,h\,\ln\left(f\right)\,\sqrt{4\,a\,c-b^2}}","Not used",1,"(d*x)/a - (d*log(a + c*f^(2*h*x)*f^(2*g) + b*f^(h*x)*f^g))/(2*a*h*log(f)) + (atan((b + 2*c*f^(h*x)*f^g)/(4*a*c - b^2)^(1/2))*(2*a*e - b*d))/(a*h*log(f)*(4*a*c - b^2)^(1/2))","B"
529,1,8,9,0.056225,"\text{Not used}","int(1/(exp(-x) + exp(x) + 2),x)","-\frac{1}{{\mathrm{e}}^x+1}","Not used",1,"-1/(exp(x) + 1)","B"
530,1,18,20,0.063509,"\text{Not used}","int(x/(exp(-x) + exp(x) + 2),x)","\frac{x\,{\mathrm{e}}^x}{{\mathrm{e}}^x+1}-\ln\left({\mathrm{e}}^x+1\right)","Not used",1,"(x*exp(x))/(exp(x) + 1) - log(exp(x) + 1)","B"
531,0,-1,34,0.000000,"\text{Not used}","int(x^2/(exp(-x) + exp(x) + 2),x)","\int \frac{x^2}{{\mathrm{e}}^{-x}+{\mathrm{e}}^x+2} \,d x","Not used",1,"int(x^2/(exp(-x) + exp(x) + 2), x)","F"
532,1,20,20,3.557602,"\text{Not used}","int(1/(1/f^(c + d*x) + f^(c + d*x) + 2),x)","-\frac{1}{d\,\ln\left(f\right)\,\left(f^{c+d\,x}+1\right)}","Not used",1,"-1/(d*log(f)*(f^(c + d*x) + 1))","B"
533,1,52,50,3.617306,"\text{Not used}","int(x/(1/f^(c + d*x) + f^(c + d*x) + 2),x)","\frac{f^{d\,x}\,f^c\,x}{d\,\ln\left(f\right)\,\left(f^{d\,x}\,f^c+1\right)}-\frac{\ln\left(f^{d\,x}\,f^c+1\right)}{d^2\,{\ln\left(f\right)}^2}","Not used",1,"(f^(d*x)*f^c*x)/(d*log(f)*(f^(d*x)*f^c + 1)) - log(f^(d*x)*f^c + 1)/(d^2*log(f)^2)","B"
534,0,-1,75,0.000000,"\text{Not used}","int(x^2/(1/f^(c + d*x) + f^(c + d*x) + 2),x)","\int \frac{x^2}{\frac{1}{f^{c+d\,x}}+f^{c+d\,x}+2} \,d x","Not used",1,"int(x^2/(1/f^(c + d*x) + f^(c + d*x) + 2), x)","F"
535,1,13,13,3.477958,"\text{Not used}","int(1/(1/3^x + 3^x + 2),x)","-\frac{1}{\ln\left(3\right)\,\left(3^x+1\right)}","Not used",1,"-1/(log(3)*(3^x + 1))","B"
536,1,17,23,0.121252,"\text{Not used}","int(1/(2*exp(x) - exp(-x) + 1),x)","\frac{\ln\left(2\,{\mathrm{e}}^x-1\right)}{3}-\frac{\ln\left({\mathrm{e}}^x+1\right)}{3}","Not used",1,"log(2*exp(x) - 1)/3 - log(exp(x) + 1)/3","B"
537,1,35,36,0.205845,"\text{Not used}","int(1/(a + c*exp(x) + b*exp(-x)),x)","\frac{2\,\mathrm{atan}\left(\frac{a+2\,c\,{\mathrm{e}}^x}{\sqrt{4\,b\,c-a^2}}\right)}{\sqrt{4\,b\,c-a^2}}","Not used",1,"(2*atan((a + 2*c*exp(x))/(4*b*c - a^2)^(1/2)))/(4*b*c - a^2)^(1/2)","B"
538,0,-1,159,0.000000,"\text{Not used}","int(x/(a + c*exp(x) + b*exp(-x)),x)","\int \frac{x}{a+c\,{\mathrm{e}}^x+b\,{\mathrm{e}}^{-x}} \,d x","Not used",1,"int(x/(a + c*exp(x) + b*exp(-x)), x)","F"
539,0,-1,244,0.000000,"\text{Not used}","int(x^2/(a + c*exp(x) + b*exp(-x)),x)","\int \frac{x^2}{a+c\,{\mathrm{e}}^x+b\,{\mathrm{e}}^{-x}} \,d x","Not used",1,"int(x^2/(a + c*exp(x) + b*exp(-x)), x)","F"
540,1,47,47,3.642792,"\text{Not used}","int(1/(a + c*f^(c + d*x) + b/f^(c + d*x)),x)","\frac{2\,\mathrm{atan}\left(\frac{a+2\,c\,f^{c+d\,x}}{\sqrt{4\,b\,c-a^2}}\right)}{d\,\ln\left(f\right)\,\sqrt{4\,b\,c-a^2}}","Not used",1,"(2*atan((a + 2*c*f^(c + d*x))/(4*b*c - a^2)^(1/2)))/(d*log(f)*(4*b*c - a^2)^(1/2))","B"
541,0,-1,203,0.000000,"\text{Not used}","int(x/(a + c*f^(c + d*x) + b/f^(c + d*x)),x)","\int \frac{x}{a+c\,f^{c+d\,x}+\frac{b}{f^{c+d\,x}}} \,d x","Not used",1,"int(x/(a + c*f^(c + d*x) + b/f^(c + d*x)), x)","F"
542,0,-1,310,0.000000,"\text{Not used}","int(x^2/(a + c*f^(c + d*x) + b/f^(c + d*x)),x)","\int \frac{x^2}{a+c\,f^{c+d\,x}+\frac{b}{f^{c+d\,x}}} \,d x","Not used",1,"int(x^2/(a + c*f^(c + d*x) + b/f^(c + d*x)), x)","F"
543,0,-1,53,0.000000,"\text{Not used}","int((a + F^((c*(d + e*x)^(1/2))/(f + g*x)^(1/2))*b)^n/(d*f + x*(d*g + e*f) + e*g*x^2),x)","\int \frac{{\left(a+F^{\frac{c\,\sqrt{d+e\,x}}{\sqrt{f+g\,x}}}\,b\right)}^n}{e\,g\,x^2+\left(d\,g+e\,f\right)\,x+d\,f} \,d x","Not used",0,"int((a + F^((c*(d + e*x)^(1/2))/(f + g*x)^(1/2))*b)^n/(d*f + x*(d*g + e*f) + e*g*x^2), x)","F"
544,0,-1,154,0.000000,"\text{Not used}","int((a + F^((c*(d + e*x)^(1/2))/(f + g*x)^(1/2))*b)^3/(d*f + x*(d*g + e*f) + e*g*x^2),x)","\int \frac{{\left(a+F^{\frac{c\,\sqrt{d+e\,x}}{\sqrt{f+g\,x}}}\,b\right)}^3}{e\,g\,x^2+\left(d\,g+e\,f\right)\,x+d\,f} \,d x","Not used",1,"int((a + F^((c*(d + e*x)^(1/2))/(f + g*x)^(1/2))*b)^3/(d*f + x*(d*g + e*f) + e*g*x^2), x)","F"
545,0,-1,112,0.000000,"\text{Not used}","int((a + F^((c*(d + e*x)^(1/2))/(f + g*x)^(1/2))*b)^2/(d*f + x*(d*g + e*f) + e*g*x^2),x)","\int \frac{{\left(a+F^{\frac{c\,\sqrt{d+e\,x}}{\sqrt{f+g\,x}}}\,b\right)}^2}{e\,g\,x^2+\left(d\,g+e\,f\right)\,x+d\,f} \,d x","Not used",1,"int((a + F^((c*(d + e*x)^(1/2))/(f + g*x)^(1/2))*b)^2/(d*f + x*(d*g + e*f) + e*g*x^2), x)","F"
546,0,-1,70,0.000000,"\text{Not used}","int((a + F^((c*(d + e*x)^(1/2))/(f + g*x)^(1/2))*b)/(d*f + x*(d*g + e*f) + e*g*x^2),x)","\int \frac{a+F^{\frac{c\,\sqrt{d+e\,x}}{\sqrt{f+g\,x}}}\,b}{e\,g\,x^2+\left(d\,g+e\,f\right)\,x+d\,f} \,d x","Not used",1,"int((a + F^((c*(d + e*x)^(1/2))/(f + g*x)^(1/2))*b)/(d*f + x*(d*g + e*f) + e*g*x^2), x)","F"
547,1,40,36,0.100003,"\text{Not used}","int(1/(d*f + x*(d*g + e*f) + e*g*x^2),x)","\frac{\mathrm{atan}\left(\frac{e\,f\,2{}\mathrm{i}+e\,g\,x\,2{}\mathrm{i}}{d\,g-e\,f}+1{}\mathrm{i}\right)\,2{}\mathrm{i}}{d\,g-e\,f}","Not used",1,"(atan((e*f*2i + e*g*x*2i)/(d*g - e*f) + 1i)*2i)/(d*g - e*f)","B"
548,0,-1,53,0.000000,"\text{Not used}","int(1/((a + F^((c*(d + e*x)^(1/2))/(f + g*x)^(1/2))*b)*(d*f + x*(d*g + e*f) + e*g*x^2)),x)","\int \frac{1}{\left(a+F^{\frac{c\,\sqrt{d+e\,x}}{\sqrt{f+g\,x}}}\,b\right)\,\left(e\,g\,x^2+\left(d\,g+e\,f\right)\,x+d\,f\right)} \,d x","Not used",0,"int(1/((a + F^((c*(d + e*x)^(1/2))/(f + g*x)^(1/2))*b)*(d*f + x*(d*g + e*f) + e*g*x^2)), x)","F"
549,0,-1,53,0.000000,"\text{Not used}","int(1/((a + F^((c*(d + e*x)^(1/2))/(f + g*x)^(1/2))*b)^2*(d*f + x*(d*g + e*f) + e*g*x^2)),x)","\int \frac{1}{{\left(a+F^{\frac{c\,\sqrt{d+e\,x}}{\sqrt{f+g\,x}}}\,b\right)}^2\,\left(e\,g\,x^2+\left(d\,g+e\,f\right)\,x+d\,f\right)} \,d x","Not used",0,"int(1/((a + F^((c*(d + e*x)^(1/2))/(f + g*x)^(1/2))*b)^2*(d*f + x*(d*g + e*f) + e*g*x^2)), x)","F"
550,0,-1,50,0.000000,"\text{Not used}","int((a + F^((c*(d + e*x)^(1/2))/(d*f - e*f*x)^(1/2))*b)^n/(d^2 - e^2*x^2),x)","\int \frac{{\left(a+b\,{\mathrm{e}}^{\frac{c\,\ln\left(F\right)\,\sqrt{d+e\,x}}{\sqrt{d\,f-e\,f\,x}}}\right)}^n}{d^2-e^2\,x^2} \,d x","Not used",0,"int((a + b*exp((c*log(F)*(d + e*x)^(1/2))/(d*f - e*f*x)^(1/2)))^n/(d^2 - e^2*x^2), x)","F"
551,0,-1,152,0.000000,"\text{Not used}","int((a + F^((c*(d + e*x)^(1/2))/(d*f - e*f*x)^(1/2))*b)^3/(d^2 - e^2*x^2),x)","\int \frac{{\left(a+b\,{\mathrm{e}}^{\frac{c\,\ln\left(F\right)\,\sqrt{d+e\,x}}{\sqrt{d\,f-e\,f\,x}}}\right)}^3}{d^2-e^2\,x^2} \,d x","Not used",1,"int((a + b*exp((c*log(F)*(d + e*x)^(1/2))/(d*f - e*f*x)^(1/2)))^3/(d^2 - e^2*x^2), x)","F"
552,0,-1,110,0.000000,"\text{Not used}","int((a + F^((c*(d + e*x)^(1/2))/(d*f - e*f*x)^(1/2))*b)^2/(d^2 - e^2*x^2),x)","\int \frac{{\left(a+b\,{\mathrm{e}}^{\frac{c\,\ln\left(F\right)\,\sqrt{d+e\,x}}{\sqrt{d\,f-e\,f\,x}}}\right)}^2}{d^2-e^2\,x^2} \,d x","Not used",1,"int((a + b*exp((c*log(F)*(d + e*x)^(1/2))/(d*f - e*f*x)^(1/2)))^2/(d^2 - e^2*x^2), x)","F"
553,0,-1,68,0.000000,"\text{Not used}","int((a + F^((c*(d + e*x)^(1/2))/(d*f - e*f*x)^(1/2))*b)/(d^2 - e^2*x^2),x)","\int \frac{a+b\,{\mathrm{e}}^{\frac{c\,\ln\left(F\right)\,\sqrt{d+e\,x}}{\sqrt{d\,f-e\,f\,x}}}}{d^2-e^2\,x^2} \,d x","Not used",1,"int((a + b*exp((c*log(F)*(d + e*x)^(1/2))/(d*f - e*f*x)^(1/2)))/(d^2 - e^2*x^2), x)","F"
554,1,14,14,3.425759,"\text{Not used}","int(1/(d^2 - e^2*x^2),x)","\frac{\mathrm{atanh}\left(\frac{e\,x}{d}\right)}{d\,e}","Not used",1,"atanh((e*x)/d)/(d*e)","B"
555,0,-1,50,0.000000,"\text{Not used}","int(1/((d^2 - e^2*x^2)*(a + F^((c*(d + e*x)^(1/2))/(d*f - e*f*x)^(1/2))*b)),x)","\int \frac{1}{\left(d^2-e^2\,x^2\right)\,\left(a+b\,{\mathrm{e}}^{\frac{c\,\ln\left(F\right)\,\sqrt{d+e\,x}}{\sqrt{d\,f-e\,f\,x}}}\right)} \,d x","Not used",0,"int(1/((d^2 - e^2*x^2)*(a + b*exp((c*log(F)*(d + e*x)^(1/2))/(d*f - e*f*x)^(1/2)))), x)","F"
556,0,-1,50,0.000000,"\text{Not used}","int(1/((d^2 - e^2*x^2)*(a + F^((c*(d + e*x)^(1/2))/(d*f - e*f*x)^(1/2))*b)^2),x)","\int \frac{1}{\left(d^2-e^2\,x^2\right)\,{\left(a+b\,{\mathrm{e}}^{\frac{c\,\ln\left(F\right)\,\sqrt{d+e\,x}}{\sqrt{d\,f-e\,f\,x}}}\right)}^2} \,d x","Not used",0,"int(1/((d^2 - e^2*x^2)*(a + b*exp((c*log(F)*(d + e*x)^(1/2))/(d*f - e*f*x)^(1/2)))^2), x)","F"
557,0,-1,77,0.000000,"\text{Not used}","int(-(F^((1 - a*x)^(1/2)/(a*x + 1)^(1/2)))^n/(a^2*x^2 - 1),x)","\int -\frac{{\left(F^{\frac{\sqrt{1-a\,x}}{\sqrt{a\,x+1}}}\right)}^n}{a^2\,x^2-1} \,d x","Not used",1,"int(-(F^((1 - a*x)^(1/2)/(a*x + 1)^(1/2)))^n/(a^2*x^2 - 1), x)","F"
558,0,-1,29,0.000000,"\text{Not used}","int(-F^((3*(1 - a*x)^(1/2))/(a*x + 1)^(1/2))/(a^2*x^2 - 1),x)","\int -\frac{F^{\frac{3\,\sqrt{1-a\,x}}{\sqrt{a\,x+1}}}}{a^2\,x^2-1} \,d x","Not used",1,"int(-F^((3*(1 - a*x)^(1/2))/(a*x + 1)^(1/2))/(a^2*x^2 - 1), x)","F"
559,0,-1,29,0.000000,"\text{Not used}","int(-F^((2*(1 - a*x)^(1/2))/(a*x + 1)^(1/2))/(a^2*x^2 - 1),x)","\int -\frac{F^{\frac{2\,\sqrt{1-a\,x}}{\sqrt{a\,x+1}}}}{a^2\,x^2-1} \,d x","Not used",1,"int(-F^((2*(1 - a*x)^(1/2))/(a*x + 1)^(1/2))/(a^2*x^2 - 1), x)","F"
560,0,-1,28,0.000000,"\text{Not used}","int(-F^((1 - a*x)^(1/2)/(a*x + 1)^(1/2))/(a^2*x^2 - 1),x)","\int -\frac{F^{\frac{\sqrt{1-a\,x}}{\sqrt{a\,x+1}}}}{a^2\,x^2-1} \,d x","Not used",1,"int(-F^((1 - a*x)^(1/2)/(a*x + 1)^(1/2))/(a^2*x^2 - 1), x)","F"
561,0,-1,29,0.000000,"\text{Not used}","int(-1/(F^((1 - a*x)^(1/2)/(a*x + 1)^(1/2))*(a^2*x^2 - 1)),x)","\int -\frac{1}{F^{\frac{\sqrt{1-a\,x}}{\sqrt{a\,x+1}}}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"int(-1/(F^((1 - a*x)^(1/2)/(a*x + 1)^(1/2))*(a^2*x^2 - 1)), x)","F"
562,0,-1,29,0.000000,"\text{Not used}","int(-1/(F^((2*(1 - a*x)^(1/2))/(a*x + 1)^(1/2))*(a^2*x^2 - 1)),x)","\int -\frac{1}{F^{\frac{2\,\sqrt{1-a\,x}}{\sqrt{a\,x+1}}}\,\left(a^2\,x^2-1\right)} \,d x","Not used",1,"int(-1/(F^((2*(1 - a*x)^(1/2))/(a*x + 1)^(1/2))*(a^2*x^2 - 1)), x)","F"
563,1,35,49,0.053221,"\text{Not used}","int(a^x*b^x*x^2,x)","\frac{a^x\,b^x\,\left(x^2\,{\left(\ln\left(a\right)+\ln\left(b\right)\right)}^2-2\,x\,\left(\ln\left(a\right)+\ln\left(b\right)\right)+2\right)}{{\left(\ln\left(a\right)+\ln\left(b\right)\right)}^3}","Not used",1,"(a^x*b^x*(x^2*(log(a) + log(b))^2 - 2*x*(log(a) + log(b)) + 2))/(log(a) + log(b))^3","B"
564,1,23,31,0.020377,"\text{Not used}","int(a^x*b^x*x,x)","\frac{a^x\,b^x\,\left(x\,\left(\ln\left(a\right)+\ln\left(b\right)\right)-1\right)}{{\left(\ln\left(a\right)+\ln\left(b\right)\right)}^2}","Not used",1,"(a^x*b^x*(x*(log(a) + log(b)) - 1))/(log(a) + log(b))^2","B"
565,1,14,14,3.596141,"\text{Not used}","int(a^x*b^x,x)","\frac{a^x\,b^x}{\ln\left(a\right)+\ln\left(b\right)}","Not used",1,"(a^x*b^x)/(log(a) + log(b))","B"
566,1,8,8,0.025881,"\text{Not used}","int((a^x*b^x)/x,x)","\mathrm{ei}\left(x\,\left(\ln\left(a\right)+\ln\left(b\right)\right)\right)","Not used",1,"ei(x*(log(a) + log(b)))","B"
567,1,28,26,3.503501,"\text{Not used}","int((a^x*b^x)/x^2,x)","-\mathrm{expint}\left(-x\,\left(\ln\left(a\right)+\ln\left(b\right)\right)\right)\,\left(\ln\left(a\right)+\ln\left(b\right)\right)-\frac{a^x\,b^x}{x}","Not used",1,"- expint(-x*(log(a) + log(b)))*(log(a) + log(b)) - (a^x*b^x)/x","B"
568,1,59,51,0.053351,"\text{Not used}","int((a^x*b^x)/x^3,x)","-\frac{\mathrm{expint}\left(-x\,\left(\ln\left(a\right)+\ln\left(b\right)\right)\right)\,{\left(\ln\left(a\right)+\ln\left(b\right)\right)}^2}{2}-a^x\,b^x\,\left(\frac{1}{2\,x\,\left(\ln\left(a\right)+\ln\left(b\right)\right)}+\frac{1}{2\,x^2\,{\left(\ln\left(a\right)+\ln\left(b\right)\right)}^2}\right)\,{\left(\ln\left(a\right)+\ln\left(b\right)\right)}^2","Not used",1,"- (expint(-x*(log(a) + log(b)))*(log(a) + log(b))^2)/2 - a^x*b^x*(1/(2*x*(log(a) + log(b))) + 1/(2*x^2*(log(a) + log(b))^2))*(log(a) + log(b))^2","B"
569,1,19,19,3.513691,"\text{Not used}","int(a^x*b^x*c^x,x)","\frac{a^x\,b^x\,c^x}{\ln\left(a\right)+\ln\left(b\right)+\ln\left(c\right)}","Not used",1,"(a^x*b^x*c^x)/(log(a) + log(b) + log(c))","B"
570,1,18,18,3.584952,"\text{Not used}","int(a^x/b^x,x)","\frac{a^x}{b^x\,\left(\ln\left(a\right)-\ln\left(b\right)\right)}","Not used",1,"a^x/(b^x*(log(a) - log(b)))","B"
571,1,43,61,3.561127,"\text{Not used}","int((a^x*x^2)/b^x,x)","\frac{a^x\,\left(x^2\,{\left(\ln\left(a\right)-\ln\left(b\right)\right)}^2-2\,x\,\left(\ln\left(a\right)-\ln\left(b\right)\right)+2\right)}{b^x\,{\left(\ln\left(a\right)-\ln\left(b\right)\right)}^3}","Not used",1,"(a^x*(x^2*(log(a) - log(b))^2 - 2*x*(log(a) - log(b)) + 2))/(b^x*(log(a) - log(b))^3)","B"
572,0,-1,770,0.000000,"\text{Not used}","int(((f + g*x)^3*(d + e*exp(h + i*x)))/(a + b*exp(h + i*x) + c*exp(2*h + 2*i*x)),x)","\int \frac{{\left(f+g\,x\right)}^3\,\left(d+e\,{\mathrm{e}}^{h+i\,x}\right)}{a+b\,{\mathrm{e}}^{h+i\,x}+c\,{\mathrm{e}}^{2\,h+2\,i\,x}} \,d x","Not used",1,"int(((f + g*x)^3*(d + e*exp(h + i*x)))/(a + b*exp(h + i*x) + c*exp(2*h + 2*i*x)), x)","F"
573,0,-1,599,0.000000,"\text{Not used}","int(((f + g*x)^2*(d + e*exp(h + i*x)))/(a + b*exp(h + i*x) + c*exp(2*h + 2*i*x)),x)","\int \frac{{\left(f+g\,x\right)}^2\,\left(d+e\,{\mathrm{e}}^{h+i\,x}\right)}{a+b\,{\mathrm{e}}^{h+i\,x}+c\,{\mathrm{e}}^{2\,h+2\,i\,x}} \,d x","Not used",1,"int(((f + g*x)^2*(d + e*exp(h + i*x)))/(a + b*exp(h + i*x) + c*exp(2*h + 2*i*x)), x)","F"
574,0,-1,428,0.000000,"\text{Not used}","int(((f + g*x)*(d + e*exp(h + i*x)))/(a + b*exp(h + i*x) + c*exp(2*h + 2*i*x)),x)","\int \frac{\left(f+g\,x\right)\,\left(d+e\,{\mathrm{e}}^{h+i\,x}\right)}{a+b\,{\mathrm{e}}^{h+i\,x}+c\,{\mathrm{e}}^{2\,h+2\,i\,x}} \,d x","Not used",1,"int(((f + g*x)*(d + e*exp(h + i*x)))/(a + b*exp(h + i*x) + c*exp(2*h + 2*i*x)), x)","F"
575,1,91,95,3.784957,"\text{Not used}","int((d + e*exp(h + i*x))/(a + b*exp(h + i*x) + c*exp(2*h + 2*i*x)),x)","\frac{d\,x}{a}-\frac{d\,\ln\left(a+b\,{\mathrm{e}}^{i\,x}\,{\mathrm{e}}^h+c\,{\mathrm{e}}^{2\,h}\,{\mathrm{e}}^{2\,i\,x}\right)}{2\,a\,i}+\frac{\mathrm{atan}\left(\frac{b+2\,c\,{\mathrm{e}}^{i\,x}\,{\mathrm{e}}^h}{\sqrt{4\,a\,c-b^2}}\right)\,\left(2\,a\,e-b\,d\right)}{a\,i\,\sqrt{4\,a\,c-b^2}}","Not used",1,"(d*x)/a - (d*log(a + b*exp(i*x)*exp(h) + c*exp(2*h)*exp(2*i*x)))/(2*a*i) + (atan((b + 2*c*exp(i*x)*exp(h))/(4*a*c - b^2)^(1/2))*(2*a*e - b*d))/(a*i*(4*a*c - b^2)^(1/2))","B"
576,0,-1,84,0.000000,"\text{Not used}","int((d + e*exp(h + i*x))/((f + g*x)*(a + b*exp(h + i*x) + c*exp(2*h + 2*i*x))),x)","\int \frac{d+e\,{\mathrm{e}}^{h+i\,x}}{\left(f+g\,x\right)\,\left(a+b\,{\mathrm{e}}^{h+i\,x}+c\,{\mathrm{e}}^{2\,h+2\,i\,x}\right)} \,d x","Not used",0,"int((d + e*exp(h + i*x))/((f + g*x)*(a + b*exp(h + i*x) + c*exp(2*h + 2*i*x))), x)","F"
577,0,-1,84,0.000000,"\text{Not used}","int((d + e*exp(h + i*x))/((f + g*x)^2*(a + b*exp(h + i*x) + c*exp(2*h + 2*i*x))),x)","\int \frac{d+e\,{\mathrm{e}}^{h+i\,x}}{{\left(f+g\,x\right)}^2\,\left(a+b\,{\mathrm{e}}^{h+i\,x}+c\,{\mathrm{e}}^{2\,h+2\,i\,x}\right)} \,d x","Not used",0,"int((d + e*exp(h + i*x))/((f + g*x)^2*(a + b*exp(h + i*x) + c*exp(2*h + 2*i*x))), x)","F"
578,0,-1,150,0.000000,"\text{Not used}","int(-(x*(b*e - a*e*exp(c + d*x)))/(2*a*e*exp(c + d*x) - b*e + b*e*exp(2*c + 2*d*x)),x)","\int -\frac{x\,\left(b\,e-a\,e\,{\mathrm{e}}^{c+d\,x}\right)}{2\,a\,e\,{\mathrm{e}}^{c+d\,x}-b\,e+b\,e\,{\mathrm{e}}^{2\,c+2\,d\,x}} \,d x","Not used",1,"int(-(x*(b*e - a*e*exp(c + d*x)))/(2*a*e*exp(c + d*x) - b*e + b*e*exp(2*c + 2*d*x)), x)","F"
579,0,-1,65,0.000000,"\text{Not used}","int(F^(a + b*log(c + d*x^n))*x^2,x)","\int F^{a+b\,\ln\left(c+d\,x^n\right)}\,x^2 \,d x","Not used",1,"int(F^(a + b*log(c + d*x^n))*x^2, x)","F"
580,0,-1,65,0.000000,"\text{Not used}","int(F^(a + b*log(c + d*x^n))*x,x)","\int F^{a+b\,\ln\left(c+d\,x^n\right)}\,x \,d x","Not used",1,"int(F^(a + b*log(c + d*x^n))*x, x)","F"
581,1,58,56,4.006726,"\text{Not used}","int(F^(a + b*log(c + d*x^n)),x)","\frac{F^a\,x\,{\left(c+d\,x^n\right)}^{b\,\ln\left(F\right)}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{n},-b\,\ln\left(F\right);\ \frac{1}{n}+1;\ -\frac{d\,x^n}{c}\right)}{{\left(\frac{d\,x^n}{c}+1\right)}^{b\,\ln\left(F\right)}}","Not used",1,"(F^a*x*(c + d*x^n)^(b*log(F))*hypergeom([1/n, -b*log(F)], 1/n + 1, -(d*x^n)/c))/((d*x^n)/c + 1)^(b*log(F))","B"
582,0,-1,57,0.000000,"\text{Not used}","int(F^(a + b*log(c + d*x^n))/x,x)","\int \frac{F^{a+b\,\ln\left(c+d\,x^n\right)}}{x} \,d x","Not used",1,"int(F^(a + b*log(c + d*x^n))/x, x)","F"
583,0,-1,66,0.000000,"\text{Not used}","int(F^(a + b*log(c + d*x^n))/x^2,x)","\int \frac{F^{a+b\,\ln\left(c+d\,x^n\right)}}{x^2} \,d x","Not used",1,"int(F^(a + b*log(c + d*x^n))/x^2, x)","F"
584,0,-1,68,0.000000,"\text{Not used}","int(F^(a + b*log(c + d*x^n))/x^3,x)","\int \frac{F^{a+b\,\ln\left(c+d\,x^n\right)}}{x^3} \,d x","Not used",1,"int(F^(a + b*log(c + d*x^n))/x^3, x)","F"
585,0,-1,77,0.000000,"\text{Not used}","int(F^(a + b*log(c + d*x^n))*(d*x)^m,x)","\int F^{a+b\,\ln\left(c+d\,x^n\right)}\,{\left(d\,x\right)}^m \,d x","Not used",1,"int(F^(a + b*log(c + d*x^n))*(d*x)^m, x)","F"
586,0,-1,76,0.000000,"\text{Not used}","int(exp(log((d + e*x)^n)^2)*(d + e*x)^m,x)","\int {\mathrm{e}}^{{\ln\left({\left(d+e\,x\right)}^n\right)}^2}\,{\left(d+e\,x\right)}^m \,d x","Not used",1,"int(exp(log((d + e*x)^n)^2)*(d + e*x)^m, x)","F"
587,0,-1,137,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n)^2))*(d*g + e*g*x)^m,x)","\int {\mathrm{e}}^{f\,\ln\left(F\right)\,\left(b\,{\ln\left(c\,{\left(d+e\,x\right)}^n\right)}^2+a\right)}\,{\left(d\,g+e\,g\,x\right)}^m \,d x","Not used",1,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n)^2))*(d*g + e*g*x)^m, x)","F"
588,0,-1,123,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n)^2))*(d*g + e*g*x)^2,x)","\int {\mathrm{e}}^{f\,\ln\left(F\right)\,\left(b\,{\ln\left(c\,{\left(d+e\,x\right)}^n\right)}^2+a\right)}\,{\left(d\,g+e\,g\,x\right)}^2 \,d x","Not used",1,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n)^2))*(d*g + e*g*x)^2, x)","F"
589,0,-1,115,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n)^2))*(d*g + e*g*x),x)","\int {\mathrm{e}}^{f\,\ln\left(F\right)\,\left(b\,{\ln\left(c\,{\left(d+e\,x\right)}^n\right)}^2+a\right)}\,\left(d\,g+e\,g\,x\right) \,d x","Not used",1,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n)^2))*(d*g + e*g*x), x)","F"
590,0,-1,118,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n)^2)),x)","\int F^{b\,f\,{\ln\left(c\,{\left(d+e\,x\right)}^n\right)}^2}\,F^{a\,f} \,d x","Not used",1,"int(F^(b*f*log(c*(d + e*x)^n)^2)*F^(a*f), x)","F"
591,1,49,67,3.744923,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n)^2))/(d*g + e*g*x),x)","\frac{F^{a\,f}\,\sqrt{\pi }\,\mathrm{erfi}\left(\frac{b\,f\,\ln\left(F\right)\,\ln\left(c\,{\left(d+e\,x\right)}^n\right)}{\sqrt{b\,f\,\ln\left(F\right)}}\right)}{2\,e\,g\,n\,\sqrt{b\,f\,\ln\left(F\right)}}","Not used",1,"(F^(a*f)*pi^(1/2)*erfi((b*f*log(F)*log(c*(d + e*x)^n))/(b*f*log(F))^(1/2)))/(2*e*g*n*(b*f*log(F))^(1/2))","B"
592,0,-1,121,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n)^2))/(d*g + e*g*x)^2,x)","\int \frac{{\mathrm{e}}^{f\,\ln\left(F\right)\,\left(b\,{\ln\left(c\,{\left(d+e\,x\right)}^n\right)}^2+a\right)}}{{\left(d\,g+e\,g\,x\right)}^2} \,d x","Not used",1,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n)^2))/(d*g + e*g*x)^2, x)","F"
593,0,-1,118,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n)^2))/(d*g + e*g*x)^3,x)","\int \frac{{\mathrm{e}}^{f\,\ln\left(F\right)\,\left(b\,{\ln\left(c\,{\left(d+e\,x\right)}^n\right)}^2+a\right)}}{{\left(d\,g+e\,g\,x\right)}^3} \,d x","Not used",1,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n)^2))/(d*g + e*g*x)^3, x)","F"
594,0,-1,31,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n)^2))*(g + h*x)^m,x)","\int {\mathrm{e}}^{f\,\ln\left(F\right)\,\left(b\,{\ln\left(c\,{\left(d+e\,x\right)}^n\right)}^2+a\right)}\,{\left(g+h\,x\right)}^m \,d x","Not used",0,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n)^2))*(g + h*x)^m, x)","F"
595,0,-1,502,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n)^2))*(g + h*x)^3,x)","\int {\mathrm{e}}^{f\,\ln\left(F\right)\,\left(b\,{\ln\left(c\,{\left(d+e\,x\right)}^n\right)}^2+a\right)}\,{\left(g+h\,x\right)}^3 \,d x","Not used",1,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n)^2))*(g + h*x)^3, x)","F"
596,0,-1,372,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n)^2))*(g + h*x)^2,x)","\int {\mathrm{e}}^{f\,\ln\left(F\right)\,\left(b\,{\ln\left(c\,{\left(d+e\,x\right)}^n\right)}^2+a\right)}\,{\left(g+h\,x\right)}^2 \,d x","Not used",1,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n)^2))*(g + h*x)^2, x)","F"
597,0,-1,242,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n)^2))*(g + h*x),x)","\int {\mathrm{e}}^{f\,\ln\left(F\right)\,\left(b\,{\ln\left(c\,{\left(d+e\,x\right)}^n\right)}^2+a\right)}\,\left(g+h\,x\right) \,d x","Not used",1,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n)^2))*(g + h*x), x)","F"
598,0,-1,118,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n)^2)),x)","\int F^{b\,f\,{\ln\left(c\,{\left(d+e\,x\right)}^n\right)}^2}\,F^{a\,f} \,d x","Not used",1,"int(F^(b*f*log(c*(d + e*x)^n)^2)*F^(a*f), x)","F"
599,0,-1,31,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n)^2))/(g + h*x),x)","\int \frac{{\mathrm{e}}^{f\,\ln\left(F\right)\,\left(b\,{\ln\left(c\,{\left(d+e\,x\right)}^n\right)}^2+a\right)}}{g+h\,x} \,d x","Not used",0,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n)^2))/(g + h*x), x)","F"
600,0,-1,31,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n)^2))/(g + h*x)^2,x)","\int \frac{{\mathrm{e}}^{f\,\ln\left(F\right)\,\left(b\,{\ln\left(c\,{\left(d+e\,x\right)}^n\right)}^2+a\right)}}{{\left(g+h\,x\right)}^2} \,d x","Not used",0,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n)^2))/(g + h*x)^2, x)","F"
601,0,-1,31,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n)^2))/(g + h*x)^3,x)","\int \frac{{\mathrm{e}}^{f\,\ln\left(F\right)\,\left(b\,{\ln\left(c\,{\left(d+e\,x\right)}^n\right)}^2+a\right)}}{{\left(g+h\,x\right)}^3} \,d x","Not used",0,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n)^2))/(g + h*x)^3, x)","F"
602,0,-1,153,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n))^2)*(d*g + e*g*x)^m,x)","\int {\mathrm{e}}^{f\,\ln\left(F\right)\,{\left(a+b\,\ln\left(c\,{\left(d+e\,x\right)}^n\right)\right)}^2}\,{\left(d\,g+e\,g\,x\right)}^m \,d x","Not used",1,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n))^2)*(d*g + e*g*x)^m, x)","F"
603,0,-1,133,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n))^2)*(d*g + e*g*x)^2,x)","\int {\mathrm{e}}^{f\,\ln\left(F\right)\,{\left(a+b\,\ln\left(c\,{\left(d+e\,x\right)}^n\right)\right)}^2}\,{\left(d\,g+e\,g\,x\right)}^2 \,d x","Not used",1,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n))^2)*(d*g + e*g*x)^2, x)","F"
604,0,-1,122,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n))^2)*(d*g + e*g*x),x)","\int {\mathrm{e}}^{f\,\ln\left(F\right)\,{\left(a+b\,\ln\left(c\,{\left(d+e\,x\right)}^n\right)\right)}^2}\,\left(d\,g+e\,g\,x\right) \,d x","Not used",1,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n))^2)*(d*g + e*g*x), x)","F"
605,0,-1,126,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n))^2),x)","\int {\mathrm{e}}^{f\,\ln\left(F\right)\,{\left(a+b\,\ln\left(c\,{\left(d+e\,x\right)}^n\right)\right)}^2} \,d x","Not used",1,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n))^2), x)","F"
606,1,63,70,3.691065,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n))^2)/(d*g + e*g*x),x)","-\frac{\sqrt{\pi }\,\mathrm{erf}\left(\frac{1{}\mathrm{i}\,f\,\ln\left(F\right)\,\ln\left(c\,{\left(d+e\,x\right)}^n\right)\,b^2+1{}\mathrm{i}\,a\,f\,\ln\left(F\right)\,b}{\sqrt{b^2\,f\,\ln\left(F\right)}}\right)\,1{}\mathrm{i}}{2\,e\,g\,n\,\sqrt{b^2\,f\,\ln\left(F\right)}}","Not used",1,"-(pi^(1/2)*erf((b^2*f*log(F)*log(c*(d + e*x)^n)*1i + a*b*f*log(F)*1i)/(b^2*f*log(F))^(1/2))*1i)/(2*e*g*n*(b^2*f*log(F))^(1/2))","B"
607,0,-1,128,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n))^2)/(d*g + e*g*x)^2,x)","\int \frac{{\mathrm{e}}^{f\,\ln\left(F\right)\,{\left(a+b\,\ln\left(c\,{\left(d+e\,x\right)}^n\right)\right)}^2}}{{\left(d\,g+e\,g\,x\right)}^2} \,d x","Not used",1,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n))^2)/(d*g + e*g*x)^2, x)","F"
608,0,-1,126,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n))^2)/(d*g + e*g*x)^3,x)","\int \frac{{\mathrm{e}}^{f\,\ln\left(F\right)\,{\left(a+b\,\ln\left(c\,{\left(d+e\,x\right)}^n\right)\right)}^2}}{{\left(d\,g+e\,g\,x\right)}^3} \,d x","Not used",1,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n))^2)/(d*g + e*g*x)^3, x)","F"
609,0,-1,31,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n))^2)*(g + h*x)^m,x)","\int {\mathrm{e}}^{f\,\ln\left(F\right)\,{\left(a+b\,\ln\left(c\,{\left(d+e\,x\right)}^n\right)\right)}^2}\,{\left(g+h\,x\right)}^m \,d x","Not used",0,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n))^2)*(g + h*x)^m, x)","F"
610,0,-1,535,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n))^2)*(g + h*x)^3,x)","\int {\mathrm{e}}^{f\,\ln\left(F\right)\,{\left(a+b\,\ln\left(c\,{\left(d+e\,x\right)}^n\right)\right)}^2}\,{\left(g+h\,x\right)}^3 \,d x","Not used",1,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n))^2)*(g + h*x)^3, x)","F"
611,0,-1,397,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n))^2)*(g + h*x)^2,x)","\int {\mathrm{e}}^{f\,\ln\left(F\right)\,{\left(a+b\,\ln\left(c\,{\left(d+e\,x\right)}^n\right)\right)}^2}\,{\left(g+h\,x\right)}^2 \,d x","Not used",1,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n))^2)*(g + h*x)^2, x)","F"
612,0,-1,257,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n))^2)*(g + h*x),x)","\int {\mathrm{e}}^{f\,\ln\left(F\right)\,{\left(a+b\,\ln\left(c\,{\left(d+e\,x\right)}^n\right)\right)}^2}\,\left(g+h\,x\right) \,d x","Not used",1,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n))^2)*(g + h*x), x)","F"
613,0,-1,126,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n))^2),x)","\int {\mathrm{e}}^{f\,\ln\left(F\right)\,{\left(a+b\,\ln\left(c\,{\left(d+e\,x\right)}^n\right)\right)}^2} \,d x","Not used",1,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n))^2), x)","F"
614,0,-1,31,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n))^2)/(g + h*x),x)","\int \frac{{\mathrm{e}}^{f\,\ln\left(F\right)\,{\left(a+b\,\ln\left(c\,{\left(d+e\,x\right)}^n\right)\right)}^2}}{g+h\,x} \,d x","Not used",0,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n))^2)/(g + h*x), x)","F"
615,0,-1,31,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n))^2)/(g + h*x)^2,x)","\int \frac{{\mathrm{e}}^{f\,\ln\left(F\right)\,{\left(a+b\,\ln\left(c\,{\left(d+e\,x\right)}^n\right)\right)}^2}}{{\left(g+h\,x\right)}^2} \,d x","Not used",0,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n))^2)/(g + h*x)^2, x)","F"
616,0,-1,31,0.000000,"\text{Not used}","int(F^(f*(a + b*log(c*(d + e*x)^n))^2)/(g + h*x)^3,x)","\int \frac{{\mathrm{e}}^{f\,\ln\left(F\right)\,{\left(a+b\,\ln\left(c\,{\left(d+e\,x\right)}^n\right)\right)}^2}}{{\left(g+h\,x\right)}^3} \,d x","Not used",0,"int(exp(f*log(F)*(a + b*log(c*(d + e*x)^n))^2)/(g + h*x)^3, x)","F"
617,1,17,17,3.684481,"\text{Not used}","int(F^(a + b*x + c*x^3)*(b + 3*c*x^2),x)","\frac{F^{c\,x^3+b\,x+a}}{\ln\left(F\right)}","Not used",1,"F^(a + b*x + c*x^3)/log(F)","B"
618,1,20,20,3.997683,"\text{Not used}","int((F^(1/(a + b*x + c*x^2))*(b + 2*c*x))/(a + b*x + c*x^2)^2,x)","-\frac{F^{\frac{1}{c\,x^2+b\,x+a}}}{\ln\left(F\right)}","Not used",1,"-F^(1/(a + b*x + c*x^2))/log(F)","B"
619,1,49,49,3.688927,"\text{Not used}","int(exp(a + b*x + c*x^2)*(b + 2*c*x)*(a + b*x + c*x^2)^m,x)","\frac{\Gamma \left(m+1,-c\,x^2-b\,x-a\right)\,{\left(c\,x^2+b\,x+a\right)}^m}{{\left(-c\,x^2-b\,x-a\right)}^m}","Not used",1,"(igamma(m + 1, - a - b*x - c*x^2)*(a + b*x + c*x^2)^m)/(- a - b*x - c*x^2)^m","B"
620,1,145,90,3.793181,"\text{Not used}","int(exp(a + b*x + c*x^2)*(b + 2*c*x)*(a + b*x + c*x^2)^3,x)","{\mathrm{e}}^{b\,x}\,{\mathrm{e}}^a\,{\mathrm{e}}^{c\,x^2}\,\left(a^3+3\,a^2\,b\,x+3\,a^2\,c\,x^2-3\,a^2+3\,a\,b^2\,x^2+6\,a\,b\,c\,x^3-6\,a\,b\,x+3\,a\,c^2\,x^4-6\,a\,c\,x^2+6\,a+b^3\,x^3+3\,b^2\,c\,x^4-3\,b^2\,x^2+3\,b\,c^2\,x^5-6\,b\,c\,x^3+6\,b\,x+c^3\,x^6-3\,c^2\,x^4+6\,c\,x^2-6\right)","Not used",1,"exp(b*x)*exp(a)*exp(c*x^2)*(6*a + 6*b*x + 6*c*x^2 - 3*a^2 + a^3 - 3*b^2*x^2 + b^3*x^3 - 3*c^2*x^4 + c^3*x^6 + 3*a*b^2*x^2 + 3*a^2*c*x^2 + 3*a*c^2*x^4 + 3*b^2*c*x^4 + 3*b*c^2*x^5 - 6*a*b*x + 3*a^2*b*x - 6*a*c*x^2 - 6*b*c*x^3 + 6*a*b*c*x^3 - 6)","B"
621,1,64,64,3.613654,"\text{Not used}","int(exp(a + b*x + c*x^2)*(b + 2*c*x)*(a + b*x + c*x^2)^2,x)","{\mathrm{e}}^{b\,x}\,{\mathrm{e}}^a\,{\mathrm{e}}^{c\,x^2}\,\left(a^2+2\,a\,b\,x+2\,a\,c\,x^2-2\,a+b^2\,x^2+2\,b\,c\,x^3-2\,b\,x+c^2\,x^4-2\,c\,x^2+2\right)","Not used",1,"exp(b*x)*exp(a)*exp(c*x^2)*(a^2 - 2*b*x - 2*c*x^2 - 2*a + b^2*x^2 + c^2*x^4 + 2*a*b*x + 2*a*c*x^2 + 2*b*c*x^3 + 2)","B"
622,1,23,38,0.102425,"\text{Not used}","int(exp(a + b*x + c*x^2)*(b + 2*c*x)*(a + b*x + c*x^2),x)","{\mathrm{e}}^{c\,x^2+b\,x+a}\,\left(c\,x^2+b\,x+a-1\right)","Not used",1,"exp(a + b*x + c*x^2)*(a + b*x + c*x^2 - 1)","B"
623,1,13,12,0.075348,"\text{Not used}","int(exp(a + b*x + c*x^2)*(b + 2*c*x),x)","{\mathrm{e}}^{b\,x}\,{\mathrm{e}}^a\,{\mathrm{e}}^{c\,x^2}","Not used",1,"exp(b*x)*exp(a)*exp(c*x^2)","B"
624,1,11,11,3.786529,"\text{Not used}","int((exp(a + b*x + c*x^2)*(b + 2*c*x))/(a + b*x + c*x^2),x)","\mathrm{ei}\left(c\,x^2+b\,x+a\right)","Not used",1,"ei(a + b*x + c*x^2)","B"
625,1,44,38,3.989428,"\text{Not used}","int((exp(a + b*x + c*x^2)*(b + 2*c*x))/(a + b*x + c*x^2)^2,x)","-\mathrm{expint}\left(-c\,x^2-b\,x-a\right)-\frac{{\mathrm{e}}^{b\,x}\,{\mathrm{e}}^a\,{\mathrm{e}}^{c\,x^2}}{c\,x^2+b\,x+a}","Not used",1,"- expint(- a - b*x - c*x^2) - (exp(b*x)*exp(a)*exp(c*x^2))/(a + b*x + c*x^2)","B"
626,1,62,72,4.043377,"\text{Not used}","int((exp(a + b*x + c*x^2)*(b + 2*c*x))/(a + b*x + c*x^2)^3,x)","-\frac{\mathrm{expint}\left(-c\,x^2-b\,x-a\right)}{2}-{\mathrm{e}}^{c\,x^2+b\,x+a}\,\left(\frac{1}{2\,\left(c\,x^2+b\,x+a\right)}+\frac{1}{2\,{\left(c\,x^2+b\,x+a\right)}^2}\right)","Not used",1,"- expint(- a - b*x - c*x^2)/2 - exp(a + b*x + c*x^2)*(1/(2*(a + b*x + c*x^2)) + 1/(2*(a + b*x + c*x^2)^2))","B"
627,1,135,142,4.216622,"\text{Not used}","int(exp(a + b*x + c*x^2)*(b + 2*c*x)*(a + b*x + c*x^2)^(7/2),x)","\frac{\left({\mathrm{e}}^{c\,x^2+b\,x+a}\,\left(\frac{105\,\sqrt{-c\,x^2-b\,x-a}}{8}+\frac{35\,{\left(-c\,x^2-b\,x-a\right)}^{3/2}}{4}+\frac{7\,{\left(-c\,x^2-b\,x-a\right)}^{5/2}}{2}+{\left(-c\,x^2-b\,x-a\right)}^{7/2}\right)+\frac{105\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-c\,x^2-b\,x-a}\right)}{16}\right)\,{\left(c\,x^2+b\,x+a\right)}^{7/2}}{{\left(-c\,x^2-b\,x-a\right)}^{7/2}}","Not used",1,"((exp(a + b*x + c*x^2)*((105*(- a - b*x - c*x^2)^(1/2))/8 + (35*(- a - b*x - c*x^2)^(3/2))/4 + (7*(- a - b*x - c*x^2)^(5/2))/2 + (- a - b*x - c*x^2)^(7/2)) + (105*pi^(1/2)*erfc((- a - b*x - c*x^2)^(1/2)))/16)*(a + b*x + c*x^2)^(7/2))/(- a - b*x - c*x^2)^(7/2)","B"
628,1,117,112,3.910022,"\text{Not used}","int(exp(a + b*x + c*x^2)*(b + 2*c*x)*(a + b*x + c*x^2)^(5/2),x)","\frac{\left({\mathrm{e}}^{c\,x^2+b\,x+a}\,\left(\frac{15\,\sqrt{-c\,x^2-b\,x-a}}{4}+\frac{5\,{\left(-c\,x^2-b\,x-a\right)}^{3/2}}{2}+{\left(-c\,x^2-b\,x-a\right)}^{5/2}\right)+\frac{15\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-c\,x^2-b\,x-a}\right)}{8}\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2}}{{\left(-c\,x^2-b\,x-a\right)}^{5/2}}","Not used",1,"((exp(a + b*x + c*x^2)*((15*(- a - b*x - c*x^2)^(1/2))/4 + (5*(- a - b*x - c*x^2)^(3/2))/2 + (- a - b*x - c*x^2)^(5/2)) + (15*pi^(1/2)*erfc((- a - b*x - c*x^2)^(1/2)))/8)*(a + b*x + c*x^2)^(5/2))/(- a - b*x - c*x^2)^(5/2)","B"
629,1,102,82,3.767133,"\text{Not used}","int(exp(a + b*x + c*x^2)*(b + 2*c*x)*(a + b*x + c*x^2)^(3/2),x)","\frac{3\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-c\,x^2-b\,x-a}\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,{\left(-c\,x^2-b\,x-a\right)}^{3/2}}-\frac{3\,{\mathrm{e}}^{b\,x}\,{\mathrm{e}}^a\,{\mathrm{e}}^{c\,x^2}\,\sqrt{c\,x^2+b\,x+a}}{2}+{\mathrm{e}}^{b\,x}\,{\mathrm{e}}^a\,{\mathrm{e}}^{c\,x^2}\,{\left(c\,x^2+b\,x+a\right)}^{3/2}","Not used",1,"(3*pi^(1/2)*erfc((- a - b*x - c*x^2)^(1/2))*(a + b*x + c*x^2)^(3/2))/(4*(- a - b*x - c*x^2)^(3/2)) - (3*exp(b*x)*exp(a)*exp(c*x^2)*(a + b*x + c*x^2)^(1/2))/2 + exp(b*x)*exp(a)*exp(c*x^2)*(a + b*x + c*x^2)^(3/2)","B"
630,1,76,52,3.507821,"\text{Not used}","int(exp(a + b*x + c*x^2)*(b + 2*c*x)*(a + b*x + c*x^2)^(1/2),x)","\frac{\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-c\,x^2-b\,x-a}\right)\,\sqrt{c\,x^2+b\,x+a}}{2\,\sqrt{-c\,x^2-b\,x-a}}+{\mathrm{e}}^{b\,x}\,{\mathrm{e}}^a\,{\mathrm{e}}^{c\,x^2}\,\sqrt{c\,x^2+b\,x+a}","Not used",1,"(pi^(1/2)*erfc((- a - b*x - c*x^2)^(1/2))*(a + b*x + c*x^2)^(1/2))/(2*(- a - b*x - c*x^2)^(1/2)) + exp(b*x)*exp(a)*exp(c*x^2)*(a + b*x + c*x^2)^(1/2)","B"
631,1,49,21,3.895898,"\text{Not used}","int((exp(a + b*x + c*x^2)*(b + 2*c*x))/(a + b*x + c*x^2)^(1/2),x)","\frac{\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-c\,x^2-b\,x-a}\right)\,\sqrt{-c\,x^2-b\,x-a}}{\sqrt{c\,x^2+b\,x+a}}","Not used",1,"(pi^(1/2)*erfc((- a - b*x - c*x^2)^(1/2))*(- a - b*x - c*x^2)^(1/2))/(a + b*x + c*x^2)^(1/2)","B"
632,1,79,51,4.004602,"\text{Not used}","int((exp(a + b*x + c*x^2)*(b + 2*c*x))/(a + b*x + c*x^2)^(3/2),x)","-\frac{{\mathrm{e}}^{c\,x^2+b\,x+a}\,\left(2\,c\,x^2+2\,b\,x+2\,a\right)+2\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-c\,x^2-b\,x-a}\right)\,{\left(-c\,x^2-b\,x-a\right)}^{3/2}}{{\left(c\,x^2+b\,x+a\right)}^{3/2}}","Not used",1,"-(exp(a + b*x + c*x^2)*(2*a + 2*b*x + 2*c*x^2) + 2*pi^(1/2)*erfc((- a - b*x - c*x^2)^(1/2))*(- a - b*x - c*x^2)^(3/2))/(a + b*x + c*x^2)^(3/2)","B"
633,1,104,85,4.200178,"\text{Not used}","int((exp(a + b*x + c*x^2)*(b + 2*c*x))/(a + b*x + c*x^2)^(5/2),x)","-\frac{{\mathrm{e}}^{c\,x^2+b\,x+a}\,\left(2\,c\,x^2+2\,b\,x+2\,a\right)+4\,{\mathrm{e}}^{c\,x^2+b\,x+a}\,{\left(c\,x^2+b\,x+a\right)}^2-4\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-c\,x^2-b\,x-a}\right)\,{\left(-c\,x^2-b\,x-a\right)}^{5/2}}{3\,{\left(c\,x^2+b\,x+a\right)}^{5/2}}","Not used",1,"-(exp(a + b*x + c*x^2)*(2*a + 2*b*x + 2*c*x^2) + 4*exp(a + b*x + c*x^2)*(a + b*x + c*x^2)^2 - 4*pi^(1/2)*erfc((- a - b*x - c*x^2)^(1/2))*(- a - b*x - c*x^2)^(5/2))/(3*(a + b*x + c*x^2)^(5/2))","B"
634,1,129,115,4.664179,"\text{Not used}","int((exp(a + b*x + c*x^2)*(b + 2*c*x))/(a + b*x + c*x^2)^(7/2),x)","-\frac{{\mathrm{e}}^{c\,x^2+b\,x+a}\,\left(6\,c\,x^2+6\,b\,x+6\,a\right)+4\,{\mathrm{e}}^{c\,x^2+b\,x+a}\,{\left(c\,x^2+b\,x+a\right)}^2+8\,{\mathrm{e}}^{c\,x^2+b\,x+a}\,{\left(c\,x^2+b\,x+a\right)}^3+8\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-c\,x^2-b\,x-a}\right)\,{\left(-c\,x^2-b\,x-a\right)}^{7/2}}{15\,{\left(c\,x^2+b\,x+a\right)}^{7/2}}","Not used",1,"-(exp(a + b*x + c*x^2)*(6*a + 6*b*x + 6*c*x^2) + 4*exp(a + b*x + c*x^2)*(a + b*x + c*x^2)^2 + 8*exp(a + b*x + c*x^2)*(a + b*x + c*x^2)^3 + 8*pi^(1/2)*erfc((- a - b*x - c*x^2)^(1/2))*(- a - b*x - c*x^2)^(7/2))/(15*(a + b*x + c*x^2)^(7/2))","B"
635,1,154,145,5.697668,"\text{Not used}","int((exp(a + b*x + c*x^2)*(b + 2*c*x))/(a + b*x + c*x^2)^(9/2),x)","-\frac{{\mathrm{e}}^{c\,x^2+b\,x+a}\,\left(30\,c\,x^2+30\,b\,x+30\,a\right)+12\,{\mathrm{e}}^{c\,x^2+b\,x+a}\,{\left(c\,x^2+b\,x+a\right)}^2+8\,{\mathrm{e}}^{c\,x^2+b\,x+a}\,{\left(c\,x^2+b\,x+a\right)}^3+16\,{\mathrm{e}}^{c\,x^2+b\,x+a}\,{\left(c\,x^2+b\,x+a\right)}^4-16\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-c\,x^2-b\,x-a}\right)\,{\left(-c\,x^2-b\,x-a\right)}^{9/2}}{105\,{\left(c\,x^2+b\,x+a\right)}^{9/2}}","Not used",1,"-(exp(a + b*x + c*x^2)*(30*a + 30*b*x + 30*c*x^2) + 12*exp(a + b*x + c*x^2)*(a + b*x + c*x^2)^2 + 8*exp(a + b*x + c*x^2)*(a + b*x + c*x^2)^3 + 16*exp(a + b*x + c*x^2)*(a + b*x + c*x^2)^4 - 16*pi^(1/2)*erfc((- a - b*x - c*x^2)^(1/2))*(- a - b*x - c*x^2)^(9/2))/(105*(a + b*x + c*x^2)^(9/2))","B"
636,0,-1,8,0.000000,"\text{Not used}","int(exp(-x)/(1 - exp(-2*x))^(1/2),x)","\int \frac{{\mathrm{e}}^{-x}}{\sqrt{1-{\mathrm{e}}^{-2\,x}}} \,d x","Not used",1,"int(exp(-x)/(1 - exp(-2*x))^(1/2), x)","F"
637,1,7,12,3.584081,"\text{Not used}","int(exp(x)/(exp(2*x) + 4),x)","\frac{\mathrm{atan}\left(\frac{{\mathrm{e}}^x}{2}\right)}{2}","Not used",1,"atan(exp(x)/2)/2","B"
638,1,15,4,0.128287,"\text{Not used}","int(-exp(x)/(exp(2*x) - 1),x)","\frac{\ln\left({\mathrm{e}}^x+1\right)}{2}-\frac{\ln\left({\mathrm{e}}^x-1\right)}{2}","Not used",1,"log(exp(x) + 1)/2 - log(exp(x) - 1)/2","B"
639,1,13,20,0.155433,"\text{Not used}","int(-exp(x)/(4*exp(2*x) - 3),x)","\frac{\sqrt{3}\,\mathrm{atanh}\left(\frac{2\,\sqrt{3}\,{\mathrm{e}}^x}{3}\right)}{6}","Not used",1,"(3^(1/2)*atanh((2*3^(1/2)*exp(x))/3))/6","B"
640,1,24,36,0.091742,"\text{Not used}","int(exp(x)*(3 - 4*exp(2*x))^(1/2),x)","\frac{3\,\mathrm{asin}\left(\frac{2\,\sqrt{3}\,{\mathrm{e}}^x}{3}\right)}{4}+{\mathrm{e}}^x\,\sqrt{\frac{3}{4}-{\mathrm{e}}^{2\,x}}","Not used",1,"(3*asin((2*3^(1/2)*exp(x))/3))/4 + exp(x)*(3/4 - exp(2*x))^(1/2)","B"
641,1,11,22,0.037393,"\text{Not used}","int(x^3*exp(x^2),x)","\frac{{\mathrm{e}}^{x^2}\,\left(x^2-1\right)}{2}","Not used",1,"(exp(x^2)*(x^2 - 1))/2","B"
642,1,20,29,3.351803,"\text{Not used}","int(exp(x)*(1 - exp(2*x))^(1/2),x)","\frac{\mathrm{asin}\left({\mathrm{e}}^x\right)}{2}+\frac{{\mathrm{e}}^x\,\sqrt{1-{\mathrm{e}}^{2\,x}}}{2}","Not used",1,"asin(exp(x))/2 + (exp(x)*(1 - exp(2*x))^(1/2))/2","B"
643,1,15,14,3.642732,"\text{Not used}","int(exp(x)/(exp(2*x) + exp(x) + 1)^(1/2),x)","\ln\left({\mathrm{e}}^x+\sqrt{{\mathrm{e}}^{2\,x}+{\mathrm{e}}^x+1}+\frac{1}{2}\right)","Not used",1,"log(exp(x) + (exp(2*x) + exp(x) + 1)^(1/2) + 1/2)","B"
644,1,15,12,0.139295,"\text{Not used}","int(exp(x)/(exp(2*x) - 4),x)","\frac{\ln\left({\mathrm{e}}^x-2\right)}{4}-\frac{\ln\left({\mathrm{e}}^x+2\right)}{4}","Not used",1,"log(exp(x) - 2)/4 - log(exp(x) + 2)/4","B"
645,1,10,13,0.059400,"\text{Not used}","int(x*exp(2 - x^2),x)","-\frac{{\mathrm{e}}^2\,{\mathrm{e}}^{-x^2}}{2}","Not used",1,"-(exp(2)*exp(-x^2))/2","B"
646,1,16,16,3.331802,"\text{Not used}","int(exp(x) - x^exp(1),x)","{\mathrm{e}}^x-\frac{x\,x^{\mathrm{e}}}{\mathrm{e}+1}","Not used",1,"exp(x) - (x*x^exp(1))/(exp(1) + 1)","B"
647,1,13,18,0.075089,"\text{Not used}","int((exp(2*x) - 1)/(exp(2*x) + 3),x)","\frac{2\,\ln\left({\mathrm{e}}^{2\,x}+3\right)}{3}-\frac{x}{3}","Not used",1,"(2*log(exp(2*x) + 3))/3 - x/3","B"
648,1,3,4,3.533012,"\text{Not used}","int(exp(x)/(1 - exp(2*x))^(1/2),x)","\mathrm{asin}\left({\mathrm{e}}^x\right)","Not used",1,"asin(exp(x))","B"
649,1,7,10,3.368683,"\text{Not used}","int(exp(2*x)/(exp(4*x) + 1),x)","\frac{\mathrm{atan}\left({\mathrm{e}}^{2\,x}\right)}{2}","Not used",1,"atan(exp(2*x))/2","B"
650,1,17,27,0.074627,"\text{Not used}","int(1/(exp(2*x) - 3*exp(x)),x)","\frac{{\mathrm{e}}^{-x}}{3}-\frac{x}{9}+\frac{\ln\left({\mathrm{e}}^x-3\right)}{9}","Not used",1,"exp(-x)/3 - x/9 + log(exp(x) - 3)/9","B"
651,1,10,12,3.328070,"\text{Not used}","int((exp(x)*(exp(x) - 2))/(exp(x) + 1),x)","{\mathrm{e}}^x-3\,\ln\left({\mathrm{e}}^x+1\right)","Not used",1,"exp(x) - 3*log(exp(x) + 1)","B"
652,1,15,6,0.076017,"\text{Not used}","int(exp(x)/(exp(2*x) - 1),x)","\frac{\ln\left({\mathrm{e}}^x-1\right)}{2}-\frac{\ln\left({\mathrm{e}}^x+1\right)}{2}","Not used",1,"log(exp(x) - 1)/2 - log(exp(x) + 1)/2","B"
653,1,3,4,0.051545,"\text{Not used}","int(exp(x)/(exp(2*x) + 1),x)","\mathrm{atan}\left({\mathrm{e}}^x\right)","Not used",1,"atan(exp(x))","B"
654,1,11,12,0.056213,"\text{Not used}","int(-(exp(-x) + exp(x))/(exp(-x) - exp(x)),x)","\ln\left({\mathrm{e}}^{2\,x}-1\right)-x","Not used",1,"log(exp(2*x) - 1) - x","B"
655,1,11,10,3.537225,"\text{Not used}","int(-(exp(-x) - exp(x))/(exp(-x) + exp(x)),x)","\ln\left({\mathrm{e}}^{2\,x}+1\right)-x","Not used",1,"log(exp(2*x) + 1) - x","B"
656,1,22,18,3.339729,"\text{Not used}","int(-(exp(-2*x) + exp(2*x))/(exp(-2*x) - exp(2*x)),x)","\frac{\ln\left({\mathrm{e}}^{2\,x}-1\right)}{2}-x+\frac{\ln\left({\mathrm{e}}^{2\,x}+1\right)}{2}","Not used",1,"log(exp(2*x) - 1)/2 - x + log(exp(2*x) + 1)/2","B"
657,1,3,4,0.076018,"\text{Not used}","int(exp(x)/(exp(2*x) + 1)^(1/2),x)","\mathrm{asinh}\left({\mathrm{e}}^x\right)","Not used",1,"asinh(exp(x))","B"
658,1,8,11,3.457238,"\text{Not used}","int(exp((x + 4)^(1/2))/(x + 4)^(1/2),x)","2\,{\mathrm{e}}^{\sqrt{x+4}}","Not used",1,"2*exp((x + 4)^(1/2))","B"
659,1,13,18,3.706688,"\text{Not used}","int(x/(exp(2*x^2) - 1)^(1/2),x)","\frac{\mathrm{atan}\left(\sqrt{{\mathrm{e}}^{2\,x^2}-1}\right)}{2}","Not used",1,"atan((exp(2*x^2) - 1)^(1/2))/2","B"
660,1,20,31,3.589436,"\text{Not used}","int(exp(x)*(exp(2*x) + 9)^(1/2),x)","\frac{9\,\mathrm{asinh}\left(\frac{{\mathrm{e}}^x}{3}\right)}{2}+\frac{{\mathrm{e}}^x\,\sqrt{{\mathrm{e}}^{2\,x}+9}}{2}","Not used",1,"(9*asinh(exp(x)/3))/2 + (exp(x)*(exp(2*x) + 9)^(1/2))/2","B"
661,1,18,27,3.546378,"\text{Not used}","int(exp(x)*(exp(2*x) + 1)^(1/2),x)","\frac{\mathrm{asinh}\left({\mathrm{e}}^x\right)}{2}+\frac{{\mathrm{e}}^x\,\sqrt{{\mathrm{e}}^{2\,x}+1}}{2}","Not used",1,"asinh(exp(x))/2 + (exp(x)*(exp(2*x) + 1)^(1/2))/2","B"
662,1,7,10,0.066509,"\text{Not used}","int((x*exp(x^2))/(exp(2*x^2) + 1),x)","\frac{\mathrm{atan}\left({\mathrm{e}}^{x^2}\right)}{2}","Not used",1,"atan(exp(x^2))/2","B"
663,1,16,28,3.565170,"\text{Not used}","int(x^2*exp(x^(3/2)),x)","\frac{2\,x^{3/2}\,{\mathrm{e}}^{x^{3/2}}}{3}-\frac{2\,{\mathrm{e}}^{x^{3/2}}}{3}","Not used",1,"(2*x^(3/2)*exp(x^(3/2)))/3 - (2*exp(x^(3/2)))/3","B"
664,1,12,16,3.770263,"\text{Not used}","int(exp(x)/(exp(2*x) - 3)^(1/2),x)","\ln\left({\mathrm{e}}^x+\sqrt{{\mathrm{e}}^{2\,x}-3}\right)","Not used",1,"log(exp(x) + (exp(2*x) - 3)^(1/2))","B"
665,1,15,12,3.654243,"\text{Not used}","int(-exp(x)/(exp(2*x) - 16),x)","\frac{\ln\left({\mathrm{e}}^x+4\right)}{8}-\frac{\ln\left({\mathrm{e}}^x-4\right)}{8}","Not used",1,"log(exp(x) + 4)/8 - log(exp(x) - 4)/8","B"
666,1,7,10,0.056856,"\text{Not used}","int(exp(5*x)/(exp(10*x) + 1),x)","\frac{\mathrm{atan}\left({\mathrm{e}}^{5\,x}\right)}{5}","Not used",1,"atan(exp(5*x))/5","B"
667,0,-1,14,0.000000,"\text{Not used}","int(exp(4*x)/(exp(8*x) + 16)^(1/2),x)","\int \frac{{\mathrm{e}}^{4\,x}}{\sqrt{{\mathrm{e}}^{8\,x}+16}} \,d x","Not used",1,"int(exp(4*x)/(exp(8*x) + 16)^(1/2), x)","F"
668,1,25,35,3.591478,"\text{Not used}","int(x^2*exp(4*x^3)*cos(7*x^3),x)","\frac{{\mathrm{e}}^{4\,x^3}\,\left(4\,\cos\left(7\,x^3\right)+7\,\sin\left(7\,x^3\right)\right)}{195}","Not used",1,"(exp(4*x^3)*(4*cos(7*x^3) + 7*sin(7*x^3)))/195","B"
669,1,8,11,0.048441,"\text{Not used}","int(x*exp(x^2 + 1),x)","\frac{{\mathrm{e}}^{x^2}\,\mathrm{e}}{2}","Not used",1,"(exp(x^2)*exp(1))/2","B"
670,1,8,11,3.513287,"\text{Not used}","int(x^2*exp(x^3 + 1),x)","\frac{{\mathrm{e}}^{x^3}\,\mathrm{e}}{3}","Not used",1,"(exp(x^3)*exp(1))/3","B"
671,1,6,9,3.489970,"\text{Not used}","int(exp(x^(1/2))/x^(1/2),x)","2\,{\mathrm{e}}^{\sqrt{x}}","Not used",1,"2*exp(x^(1/2))","B"
672,1,6,9,3.570716,"\text{Not used}","int(exp(x^(1/3))/x^(2/3),x)","3\,{\mathrm{e}}^{x^{1/3}}","Not used",1,"3*exp(x^(1/3))","B"
673,1,31,68,3.532603,"\text{Not used}","int(exp(3*x)*(2*x^3 + x^5 - 8),x)","\frac{{\mathrm{e}}^{3\,x}\,\left(81\,x^5-135\,x^4+342\,x^3-342\,x^2+228\,x-724\right)}{243}","Not used",1,"(exp(3*x)*(228*x - 342*x^2 + 342*x^3 - 135*x^4 + 81*x^5 - 724))/243","B"
674,1,21,28,3.499172,"\text{Not used}","int((x + exp(x))^2,x)","\frac{{\mathrm{e}}^{2\,x}}{2}-2\,{\mathrm{e}}^x+2\,x\,{\mathrm{e}}^x+\frac{x^3}{3}","Not used",1,"exp(2*x)/2 - 2*exp(x) + 2*x*exp(x) + x^3/3","B"
675,1,18,26,0.065453,"\text{Not used}","int(exp(-4*x)*(exp(2*x) + exp(3*x) + exp(x)),x)","-\frac{{\mathrm{e}}^{-3\,x}\,\left(6\,{\mathrm{e}}^{2\,x}+3\,{\mathrm{e}}^x+2\right)}{6}","Not used",1,"-(exp(-3*x)*(6*exp(2*x) + 3*exp(x) + 2))/6","B"
676,1,8,9,0.059764,"\text{Not used}","int(exp(x)/(exp(2*x) + 2*exp(x) + 1),x)","-\frac{1}{{\mathrm{e}}^x+1}","Not used",1,"-1/(exp(x) + 1)","B"
677,1,17,27,0.029165,"\text{Not used}","int(cos(3*x)*exp(-x),x)","-\frac{{\mathrm{e}}^{-x}\,\left(\cos\left(3\,x\right)-3\,\sin\left(3\,x\right)\right)}{10}","Not used",1,"-(exp(-x)*(cos(3*x) - 3*sin(3*x)))/10","B"
678,1,15,17,3.543459,"\text{Not used}","int(exp(2*x)/(exp(2*x) + 3*exp(x) + 2),x)","2\,\ln\left({\mathrm{e}}^x+2\right)-\ln\left({\mathrm{e}}^x+1\right)","Not used",1,"2*log(exp(x) + 2) - log(exp(x) + 1)","B"
679,1,10,12,3.536122,"\text{Not used}","int(exp(2*x)/(exp(x) + 1),x)","{\mathrm{e}}^x-\ln\left({\mathrm{e}}^x+1\right)","Not used",1,"exp(x) - log(exp(x) + 1)","B"
680,1,19,27,0.030530,"\text{Not used}","int(cos(5*x)*exp(3*x),x)","\frac{{\mathrm{e}}^{3\,x}\,\left(3\,\cos\left(5\,x\right)+5\,\sin\left(5\,x\right)\right)}{34}","Not used",1,"(exp(3*x)*(3*cos(5*x) + 5*sin(5*x)))/34","B"
681,1,6,5,0.046532,"\text{Not used}","int(exp(x)/cosh(exp(x)),x)","2\,\mathrm{atan}\left({\mathrm{e}}^{{\mathrm{e}}^x}\right)","Not used",1,"2*atan(exp(exp(x)))","B"
682,1,19,21,0.069954,"\text{Not used}","int(exp(-x)/(2*exp(x) + 1),x)","2\,\ln\left(2\,{\mathrm{e}}^x+1\right)-2\,x-{\mathrm{e}}^{-x}","Not used",1,"2*log(2*exp(x) + 1) - 2*x - exp(-x)","B"
683,1,19,27,3.534045,"\text{Not used}","int(exp(x)*cos(3*x + 4),x)","\frac{{\mathrm{e}}^x\,\left(\cos\left(3\,x+4\right)+3\,\sin\left(3\,x+4\right)\right)}{10}","Not used",1,"(exp(x)*(cos(3*x + 4) + 3*sin(3*x + 4)))/10","B"
684,1,78,34,5.530470,"\text{Not used}","int(exp(x)/cos(exp(x) - 1)^3,x)","-\mathrm{atan}\left({\mathrm{e}}^{-\mathrm{i}}\,{\mathrm{e}}^{{\mathrm{e}}^x\,1{}\mathrm{i}}\right)\,1{}\mathrm{i}-\frac{{\mathrm{e}}^{-\mathrm{i}}\,{\mathrm{e}}^{{\mathrm{e}}^x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{{\mathrm{e}}^{-2{}\mathrm{i}}\,{\mathrm{e}}^{{\mathrm{e}}^x\,2{}\mathrm{i}}+1}+\frac{{\mathrm{e}}^{-\mathrm{i}}\,{\mathrm{e}}^{{\mathrm{e}}^x\,1{}\mathrm{i}}\,2{}\mathrm{i}}{2\,{\mathrm{e}}^{-2{}\mathrm{i}}\,{\mathrm{e}}^{{\mathrm{e}}^x\,2{}\mathrm{i}}+{\mathrm{e}}^{-4{}\mathrm{i}}\,{\mathrm{e}}^{{\mathrm{e}}^x\,4{}\mathrm{i}}+1}","Not used",1,"(exp(-1i)*exp(exp(x)*1i)*2i)/(2*exp(-2i)*exp(exp(x)*2i) + exp(-4i)*exp(exp(x)*4i) + 1) - (exp(-1i)*exp(exp(x)*1i)*1i)/(exp(-2i)*exp(exp(x)*2i) + 1) - atan(exp(-1i)*exp(exp(x)*1i))*1i","B"
685,1,10,26,0.060246,"\text{Not used}","int(x*(exp(-x) + exp(x)),x)","2\,x\,\mathrm{sinh}\left(x\right)-2\,\mathrm{cosh}\left(x\right)","Not used",1,"2*x*sinh(x) - 2*cosh(x)","B"
686,1,13,15,3.487505,"\text{Not used}","int(exp(x)/(exp(2*x) + 3*exp(x) + 2),x)","\ln\left({\mathrm{e}}^x+1\right)-\ln\left({\mathrm{e}}^x+2\right)","Not used",1,"log(exp(x) + 1) - log(exp(x) + 2)","B"
687,1,14,27,0.062371,"\text{Not used}","int(exp(2*x)/(exp(x) + 1)^(1/3),x)","\frac{3\,{\left({\mathrm{e}}^x+1\right)}^{2/3}\,\left(2\,{\mathrm{e}}^x-3\right)}{10}","Not used",1,"(3*(exp(x) + 1)^(2/3)*(2*exp(x) - 3))/10","B"
688,1,14,27,3.535206,"\text{Not used}","int(exp(2*x)/(exp(x) + 1)^(1/4),x)","\frac{4\,{\left({\mathrm{e}}^x+1\right)}^{3/4}\,\left(3\,{\mathrm{e}}^x-4\right)}{21}","Not used",1,"(4*(exp(x) + 1)^(3/4)*(3*exp(x) - 4))/21","B"
689,1,49,62,4.201405,"\text{Not used}","int((2*exp(2*x) - exp(x))/(3*exp(2*x) - 6*exp(x) - 1)^(1/2),x)","\frac{\sqrt{3}\,\ln\left(\sqrt{3\,{\mathrm{e}}^{2\,x}-6\,{\mathrm{e}}^x-1}-\sqrt{3}+\sqrt{3}\,{\mathrm{e}}^x\right)}{3}+\frac{2\,\sqrt{3\,{\mathrm{e}}^{2\,x}-6\,{\mathrm{e}}^x-1}}{3}","Not used",1,"(3^(1/2)*log((3*exp(2*x) - 6*exp(x) - 1)^(1/2) - 3^(1/2) + 3^(1/2)*exp(x)))/3 + (2*(3*exp(2*x) - 6*exp(x) - 1)^(1/2))/3","B"
690,1,11,19,3.456999,"\text{Not used}","int(-exp(x)*(5*x - x^2),x)","{\mathrm{e}}^x\,\left(x^2-7\,x+7\right)","Not used",1,"exp(x)*(x^2 - 7*x + 7)","B"
691,1,16,32,3.525769,"\text{Not used}","int(-exp(3*x)*(x - x^2),x)","\frac{{\mathrm{e}}^{3\,x}\,\left(9\,x^2-15\,x+5\right)}{27}","Not used",1,"(exp(3*x)*(9*x^2 - 15*x + 5))/27","B"
692,1,10,11,3.594250,"\text{Not used}","int(x^(2*x)*exp(x^x)*(log(x) + 1),x)","{\mathrm{e}}^{x^x}\,\left(x^x-1\right)","Not used",1,"exp(x^x)*(x^x - 1)","B"
693,1,6,9,0.038239,"\text{Not used}","int((exp(5*x) + exp(7*x))/(exp(-x) + exp(x)),x)","\frac{{\mathrm{e}}^{6\,x}}{6}","Not used",1,"exp(6*x)/6","B"
694,1,9,9,3.584471,"\text{Not used}","int(-(log(x) - 1)/x^(1/x + 2),x)","-\frac{1}{x^{1/x}}","Not used",1,"-1/x^(1/x)","B"
695,1,21,25,3.548658,"\text{Not used}","int((a + b*exp(x))^2,x)","x\,a^2+2\,{\mathrm{e}}^x\,a\,b+\frac{{\mathrm{e}}^{2\,x}\,b^2}{2}","Not used",1,"(b^2*exp(2*x))/2 + a^2*x + 2*a*b*exp(x)","B"
696,1,33,40,0.072268,"\text{Not used}","int((a + b*exp(x))^3,x)","x\,a^3+3\,{\mathrm{e}}^x\,a^2\,b+\frac{3\,{\mathrm{e}}^{2\,x}\,a\,b^2}{2}+\frac{{\mathrm{e}}^{3\,x}\,b^3}{3}","Not used",1,"(b^3*exp(3*x))/3 + a^3*x + 3*a^2*b*exp(x) + (3*a*b^2*exp(2*x))/2","B"
697,1,45,53,3.425767,"\text{Not used}","int((a + b*exp(x))^4,x)","x\,a^4+4\,{\mathrm{e}}^x\,a^3\,b+3\,{\mathrm{e}}^{2\,x}\,a^2\,b^2+\frac{4\,{\mathrm{e}}^{3\,x}\,a\,b^3}{3}+\frac{{\mathrm{e}}^{4\,x}\,b^4}{4}","Not used",1,"(b^4*exp(4*x))/4 + a^4*x + 3*a^2*b^2*exp(2*x) + 4*a^3*b*exp(x) + (4*a*b^3*exp(3*x))/3","B"
698,1,25,32,3.617699,"\text{Not used}","int(1/(a + b*exp(c + d*x))^(1/2),x)","-\frac{2\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c}}{\sqrt{a}}\right)}{\sqrt{a}\,d}","Not used",1,"-(2*atanh((a + b*exp(d*x)*exp(c))^(1/2)/a^(1/2)))/(a^(1/2)*d)","B"
699,1,31,34,3.617072,"\text{Not used}","int(1/(b*exp(c + d*x) - a)^(1/2),x)","-\frac{2\,\mathrm{atanh}\left(\frac{\sqrt{b\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c-a}}{\sqrt{-a}}\right)}{\sqrt{-a}\,d}","Not used",1,"-(2*atanh((b*exp(d*x)*exp(c) - a)^(1/2)/(-a)^(1/2)))/((-a)^(1/2)*d)","B"
700,1,43,53,3.515175,"\text{Not used}","int((a + b*exp(c + d*x))^(1/2),x)","\frac{2\,\sqrt{a+b\,{\mathrm{e}}^{c+d\,x}}}{d}-\frac{2\,\sqrt{a}\,\mathrm{atanh}\left(\frac{\sqrt{a+b\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c}}{\sqrt{a}}\right)}{d}","Not used",1,"(2*(a + b*exp(c + d*x))^(1/2))/d - (2*a^(1/2)*atanh((a + b*exp(d*x)*exp(c))^(1/2)/a^(1/2)))/d","B"
701,1,47,57,3.596429,"\text{Not used}","int((b*exp(c + d*x) - a)^(1/2),x)","\frac{2\,\sqrt{b\,{\mathrm{e}}^{c+d\,x}-a}}{d}-\frac{2\,\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{b\,{\mathrm{e}}^{d\,x}\,{\mathrm{e}}^c-a}}{\sqrt{a}}\right)}{d}","Not used",1,"(2*(b*exp(c + d*x) - a)^(1/2))/d - (2*a^(1/2)*atan((b*exp(d*x)*exp(c) - a)^(1/2)/a^(1/2)))/d","B"
702,1,19,27,0.030052,"\text{Not used}","int(sin(3*x)*exp(6*x),x)","-\frac{{\mathrm{e}}^{6\,x}\,\left(3\,\cos\left(3\,x\right)-6\,\sin\left(3\,x\right)\right)}{45}","Not used",1,"-(exp(6*x)*(3*cos(3*x) - 6*sin(3*x)))/45","B"
703,1,8,10,0.079684,"\text{Not used}","int(exp(3*x)/(exp(2*x) + 1),x)","{\mathrm{e}}^x-\mathrm{atan}\left({\mathrm{e}}^x\right)","Not used",1,"exp(x) - atan(exp(x))","B"
704,1,17,10,0.099373,"\text{Not used}","int(exp(3*x)/(exp(2*x) - 1),x)","\frac{\ln\left({\mathrm{e}}^x-1\right)}{2}-\frac{\ln\left({\mathrm{e}}^x+1\right)}{2}+{\mathrm{e}}^x","Not used",1,"log(exp(x) - 1)/2 - log(exp(x) + 1)/2 + exp(x)","B"
705,0,-1,18,0.000000,"\text{Not used}","int(exp(-x)/(exp(2*x) + 1)^(1/2),x)","\int \frac{{\mathrm{e}}^{-x}}{\sqrt{{\mathrm{e}}^{2\,x}+1}} \,d x","Not used",1,"int(exp(-x)/(exp(2*x) + 1)^(1/2), x)","F"
706,1,17,20,0.388007,"\text{Not used}","int(-exp(x)/(8*exp(x) - exp(2*x) + 1),x)","-\frac{\sqrt{17}\,\mathrm{atanh}\left(\frac{\sqrt{17}\,\left(2\,{\mathrm{e}}^x-8\right)}{34}\right)}{17}","Not used",1,"-(17^(1/2)*atanh((17^(1/2)*(2*exp(x) - 8))/34))/17","B"
707,1,21,44,0.027843,"\text{Not used}","int(x^3*exp(7*x),x)","\frac{{\mathrm{e}}^{7\,x}\,\left(343\,x^3-147\,x^2+42\,x-6\right)}{2401}","Not used",1,"(exp(7*x)*(42*x - 147*x^2 + 343*x^3 - 6))/2401","B"
708,1,23,52,0.054297,"\text{Not used}","int(x^3*exp(8 - 2*x),x)","-{\mathrm{e}}^{8-2\,x}\,\left(\frac{x^3}{2}+\frac{3\,x^2}{4}+\frac{3\,x}{4}+\frac{3}{8}\right)","Not used",1,"-exp(8 - 2*x)*((3*x)/4 + (3*x^2)/4 + x^3/2 + 3/8)","B"
709,1,22,33,0.089098,"\text{Not used}","int(exp(x)*(9 - exp(2*x))^(1/2),x)","\frac{9\,\mathrm{asin}\left(\frac{{\mathrm{e}}^x}{3}\right)}{2}+\frac{{\mathrm{e}}^x\,\sqrt{9-{\mathrm{e}}^{2\,x}}}{2}","Not used",1,"(9*asin(exp(x)/3))/2 + (exp(x)*(9 - exp(2*x))^(1/2))/2","B"
710,1,32,50,3.572927,"\text{Not used}","int(exp(6*x)*(9 - exp(2*x))^(1/2),x)","-\sqrt{9-{\mathrm{e}}^{2\,x}}\,\left(\frac{108\,{\mathrm{e}}^{2\,x}}{35}+\frac{9\,{\mathrm{e}}^{4\,x}}{35}-\frac{{\mathrm{e}}^{6\,x}}{7}+\frac{1944}{35}\right)","Not used",1,"-(9 - exp(2*x))^(1/2)*((108*exp(2*x))/35 + (9*exp(4*x))/35 - exp(6*x)/7 + 1944/35)","B"
711,1,38,81,0.194494,"\text{Not used}","int(exp(6*x)/(9 - exp(x))^(5/2),x)","-\frac{2\,\left(23328\,{\mathrm{e}}^{2\,x}+432\,{\mathrm{e}}^{3\,x}+18\,{\mathrm{e}}^{4\,x}+{\mathrm{e}}^{5\,x}-839808\,{\mathrm{e}}^x+5038848\right)}{7\,{\left(9-{\mathrm{e}}^x\right)}^{3/2}}","Not used",1,"-(2*(23328*exp(2*x) + 432*exp(3*x) + 18*exp(4*x) + exp(5*x) - 839808*exp(x) + 5038848))/(7*(9 - exp(x))^(3/2))","B"
712,1,44,55,3.566749,"\text{Not used}","int(-x^3*(7*exp(x^4) - 2)^5,x)","490\,{\mathrm{e}}^{2\,x^4}-140\,{\mathrm{e}}^{x^4}-\frac{3430\,{\mathrm{e}}^{3\,x^4}}{3}+\frac{12005\,{\mathrm{e}}^{4\,x^4}}{8}-\frac{16807\,{\mathrm{e}}^{5\,x^4}}{20}+8\,x^4","Not used",1,"490*exp(2*x^4) - 140*exp(x^4) - (3430*exp(3*x^4))/3 + (12005*exp(4*x^4))/8 - (16807*exp(5*x^4))/20 + 8*x^4","B"
713,1,26,35,3.650148,"\text{Not used}","int(x*exp(x^2)*(1 - exp(2*x^2))^(1/2),x)","\frac{\mathrm{asin}\left({\mathrm{e}}^{x^2}\right)}{4}+\frac{{\mathrm{e}}^{x^2}\,\sqrt{1-{\mathrm{e}}^{2\,x^2}}}{4}","Not used",1,"asin(exp(x^2))/4 + (exp(x^2)*(1 - exp(2*x^2))^(1/2))/4","B"
714,1,24,32,3.606509,"\text{Not used}","int(x^2*exp(x^3)*(exp(4*x^3) - 1)^2,x)","\frac{{\mathrm{e}}^{x^3}\,\left(5\,{\mathrm{e}}^{8\,x^3}-18\,{\mathrm{e}}^{4\,x^3}+45\right)}{135}","Not used",1,"(exp(x^3)*(5*exp(8*x^3) - 18*exp(4*x^3) + 45))/135","B"
715,1,3,5,0.029118,"\text{Not used}","int(exp(x + exp(x)),x)","{\mathrm{e}}^{{\mathrm{e}}^x}","Not used",1,"exp(exp(x))","B"
716,1,4,7,3.461588,"\text{Not used}","int(exp(x + exp(exp(x)) + exp(x)),x)","{\mathrm{e}}^{{\mathrm{e}}^{{\mathrm{e}}^x}}","Not used",1,"exp(exp(exp(x)))","B"
717,1,8,22,3.581749,"\text{Not used}","int((exp(-x) + exp(x))^2,x)","2\,x+\mathrm{sinh}\left(2\,x\right)","Not used",1,"2*x + sinh(2*x)","B"
718,1,3,4,0.018892,"\text{Not used}","int(1/(exp(-x) + exp(x)),x)","\mathrm{atan}\left({\mathrm{e}}^x\right)","Not used",1,"atan(exp(x))","B"
719,1,12,13,0.070827,"\text{Not used}","int(1/(exp(-x) + exp(x))^2,x)","-\frac{1}{2\,\left({\mathrm{e}}^{2\,x}+1\right)}","Not used",1,"-1/(2*(exp(2*x) + 1))","B"
720,1,15,6,0.054589,"\text{Not used}","int(-1/(exp(-x) - exp(x)),x)","\frac{\ln\left({\mathrm{e}}^x-1\right)}{2}-\frac{\ln\left({\mathrm{e}}^x+1\right)}{2}","Not used",1,"log(exp(x) - 1)/2 - log(exp(x) + 1)/2","B"
721,1,12,15,3.404820,"\text{Not used}","int(1/(exp(-x) - exp(x))^2,x)","-\frac{1}{2\,\left({\mathrm{e}}^{2\,x}-1\right)}","Not used",1,"-1/(2*(exp(2*x) - 1))","B"
722,1,17,22,0.055260,"\text{Not used}","int(exp(x)*(exp(-x) - exp(x))^2,x)","\frac{{\mathrm{e}}^{3\,x}}{3}-{\mathrm{e}}^{-x}-2\,{\mathrm{e}}^x","Not used",1,"exp(3*x)/3 - exp(-x) - 2*exp(x)","B"
723,1,22,31,3.594406,"\text{Not used}","int(-exp(x)*(exp(-x) - exp(x))^3,x)","3\,x+\frac{{\mathrm{e}}^{-2\,x}}{2}-\frac{3\,{\mathrm{e}}^{2\,x}}{2}+\frac{{\mathrm{e}}^{4\,x}}{4}","Not used",1,"3*x + exp(-2*x)/2 - (3*exp(2*x))/2 + exp(4*x)/4","B"
724,1,21,22,3.477224,"\text{Not used}","int((4^x + 1)/(2^x + 1),x)","\frac{x\,\ln\left(2\right)-2\,\ln\left(2^x+1\right)+2^x}{\ln\left(2\right)}","Not used",1,"(x*log(2) - 2*log(2^x + 1) + 2^x)/log(2)","B"
725,0,-1,34,0.000000,"\text{Not used}","int((4^x + 1)/(1/2^x + 1),x)","\int \frac{4^x+1}{\frac{1}{2^x}+1} \,d x","Not used",1,"int((4^x + 1)/(1/2^x + 1), x)","F"
726,1,27,23,3.414694,"\text{Not used}","int(exp((a + x)^2)/x^2 - (2*a*exp((a + x)^2))/x,x)","\sqrt{\pi }\,\mathrm{erfi}\left(a+x\right)-\frac{{\mathrm{e}}^{a^2}\,{\mathrm{e}}^{x^2}\,{\mathrm{e}}^{2\,a\,x}}{x}","Not used",1,"pi^(1/2)*erfi(a + x) - (exp(a^2)*exp(x^2)*exp(2*a*x))/x","B"
727,1,50,66,3.616823,"\text{Not used}","int(exp(-x^2)*(x^4 + x^6 + x^8),x)","\frac{147\,\sqrt{\pi }\,\mathrm{erf}\left(x\right)}{32}-\frac{49\,x^3\,{\mathrm{e}}^{-x^2}}{8}-\frac{9\,x^5\,{\mathrm{e}}^{-x^2}}{4}-\frac{x^7\,{\mathrm{e}}^{-x^2}}{2}-\frac{147\,x\,{\mathrm{e}}^{-x^2}}{16}","Not used",1,"(147*pi^(1/2)*erf(x))/32 - (49*x^3*exp(-x^2))/8 - (9*x^5*exp(-x^2))/4 - (x^7*exp(-x^2))/2 - (147*x*exp(-x^2))/16","B"
728,1,19,12,0.064093,"\text{Not used}","int(1/(exp(3*x) - exp(x)),x)","{\mathrm{e}}^{-x}+\frac{\ln\left({\mathrm{e}}^x-1\right)}{2}-\frac{\ln\left({\mathrm{e}}^x+1\right)}{2}","Not used",1,"exp(-x) + log(exp(x) - 1)/2 - log(exp(x) + 1)/2","B"
729,1,11,16,0.080164,"\text{Not used}","int((exp(x)*(x + x^2 - 5))/(x - 1)^2,x)","\frac{{\mathrm{e}}^x\,\left(x+2\right)}{x-1}","Not used",1,"(exp(x)*(x + 2))/(x - 1)","B"
730,1,14,16,3.482110,"\text{Not used}","int((x^3*exp(x^2))/(x^2 + 1)^2,x)","\frac{{\mathrm{e}}^{x^2}}{2\,\left(x^2+1\right)}","Not used",1,"exp(x^2)/(2*(x^2 + 1))","B"
731,0,-1,33,0.000000,"\text{Not used}","int(exp(3*x)/(16*exp(2*x) + 25)^(1/2),x)","\int \frac{{\mathrm{e}}^{3\,x}}{\sqrt{16\,{\mathrm{e}}^{2\,x}+25}} \,d x","Not used",1,"int(exp(3*x)/(16*exp(2*x) + 25)^(1/2), x)","F"
732,1,8,11,3.501188,"\text{Not used}","int((exp(x) + 1)/(x + exp(x))^(1/2),x)","2\,\sqrt{x+{\mathrm{e}}^x}","Not used",1,"2*(x + exp(x))^(1/2)","B"
733,1,5,6,0.034711,"\text{Not used}","int((exp(x) + 1)/(x + exp(x)),x)","\ln\left(x+{\mathrm{e}}^x\right)","Not used",1,"log(x + exp(x))","B"
734,1,21,19,3.600650,"\text{Not used}","int(exp(x^2)/x^2,x)","-\frac{{\mathrm{e}}^{x^2}}{x}+\sqrt{\pi }\,\mathrm{erfc}\left(x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}","Not used",1,"pi^(1/2)*erfc(x*1i)*1i - exp(x^2)/x","B"
735,1,15,19,0.073419,"\text{Not used}","int((exp(x^2)*(4*x^4 + 1))/x^2,x)","\frac{{\mathrm{e}}^{x^2}\,\left(2\,x^2-1\right)}{x}","Not used",1,"(exp(x^2)*(2*x^2 - 1))/x","B"
736,1,62,56,3.671192,"\text{Not used}","int((f^x)^(1/2)*(a + b*x)^2,x)","\sqrt{f^x}\,\left(\frac{2\,a^2\,{\ln\left(f\right)}^2-8\,a\,b\,\ln\left(f\right)+16\,b^2}{{\ln\left(f\right)}^3}+\frac{2\,b^2\,x^2}{\ln\left(f\right)}-\frac{4\,b\,x\,\left(2\,b-a\,\ln\left(f\right)\right)}{{\ln\left(f\right)}^2}\right)","Not used",1,"(f^x)^(1/2)*((2*a^2*log(f)^2 + 16*b^2 - 8*a*b*log(f))/log(f)^3 + (2*b^2*x^2)/log(f) - (4*b*x*(2*b - a*log(f)))/log(f)^2)","B"
737,1,11,15,3.500080,"\text{Not used}","int(3^(x^2 + 1)*x,x)","\frac{3\,3^{x^2}}{2\,\ln\left(3\right)}","Not used",1,"(3*3^(x^2))/(2*log(3))","B"
738,1,11,14,3.588177,"\text{Not used}","int(2^(x^(1/2))/x^(1/2),x)","\frac{2\,2^{\sqrt{x}}}{\ln\left(2\right)}","Not used",1,"(2*2^(x^(1/2)))/log(2)","B"
739,1,11,11,3.499279,"\text{Not used}","int(2^(1/x)/x^2,x)","-\frac{2^{1/x}}{\ln\left(2\right)}","Not used",1,"-2^(1/x)/log(2)","B"
740,1,17,20,3.448282,"\text{Not used}","int(1/2^x + 2^x,x)","\frac{2^{2\,x}-1}{2^x\,\ln\left(2\right)}","Not used",1,"(2^(2*x) - 1)/(2^x*log(2))","B"
741,1,16,32,0.049673,"\text{Not used}","int(exp(-4*x)*(x^2 - 3*x + 2),x)","-\frac{{\mathrm{e}}^{-4\,x}\,\left(8\,x^2-20\,x+11\right)}{32}","Not used",1,"-(exp(-4*x)*(8*x^2 - 20*x + 11))/32","B"
742,1,26,33,3.628756,"\text{Not used}","int(k^(x/2) + x^(k^(1/2)),x)","\frac{2\,k^{x/2}}{\ln\left(k\right)}+\frac{x\,x^{\sqrt{k}}}{\sqrt{k}+1}","Not used",1,"(2*k^(x/2))/log(k) + (x*x^(k^(1/2)))/(k^(1/2) + 1)","B"
743,1,11,21,3.493764,"\text{Not used}","int(10^(x^(1/2))/x^(1/2),x)","\frac{2\,{10}^{\sqrt{x}}}{\ln\left(10\right)}","Not used",1,"(2*10^(x^(1/2)))/log(10)","B"
744,1,8,11,3.447467,"\text{Not used}","int(1/(x + exp(x))^(1/2) + exp(x)/(x + exp(x))^(1/2),x)","2\,\sqrt{x+{\mathrm{e}}^x}","Not used",1,"2*(x + exp(x))^(1/2)","B"
745,1,9,12,3.628579,"\text{Not used}","int(2*(x + exp(x))^(1/2) + (x*(exp(x) + 1))/(x + exp(x))^(1/2),x)","2\,x\,\sqrt{x+{\mathrm{e}}^x}","Not used",1,"2*x*(x + exp(x))^(1/2)","B"
746,1,9,12,3.352591,"\text{Not used}","int(2*(x + exp(x))^(1/2) + x/(x + exp(x))^(1/2) + (x*exp(x))/(x + exp(x))^(1/2),x)","2\,x\,\sqrt{x+{\mathrm{e}}^x}","Not used",1,"2*x*(x + exp(x))^(1/2)","B"
747,0,-1,27,0.000000,"\text{Not used}","int((x*(exp(x) + 1))/(x + exp(x))^(1/2),x)","\int \frac{x\,\left({\mathrm{e}}^x+1\right)}{\sqrt{x+{\mathrm{e}}^x}} \,d x","Not used",0,"int((x*(exp(x) + 1))/(x + exp(x))^(1/2), x)","F"
748,0,-1,27,0.000000,"\text{Not used}","int(x/(x + exp(x))^(1/2) + (x*exp(x))/(x + exp(x))^(1/2),x)","\int \frac{x}{\sqrt{x+{\mathrm{e}}^x}}+\frac{x\,{\mathrm{e}}^x}{\sqrt{x+{\mathrm{e}}^x}} \,d x","Not used",0,"int(x/(x + exp(x))^(1/2) + (x*exp(x))/(x + exp(x))^(1/2), x)","F"
749,0,-1,52,0.000000,"\text{Not used}","int((x*exp(x))/(x + exp(x))^(1/2),x)","\int \frac{x\,{\mathrm{e}}^x}{\sqrt{x+{\mathrm{e}}^x}} \,d x","Not used",0,"int((x*exp(x))/(x + exp(x))^(1/2), x)","F"
750,1,15,20,3.694298,"\text{Not used}","int((4*x*(5*exp(x) + x^3)^(1/2))/5 + (x^2*(5*exp(x) + 3*x^2))/(5*(5*exp(x) + x^3)^(1/2)),x)","\frac{2\,x^2\,\sqrt{5\,{\mathrm{e}}^x+x^3}}{5}","Not used",1,"(2*x^2*(5*exp(x) + x^3)^(1/2))/5","B"
751,0,-1,67,0.000000,"\text{Not used}","int((x^2*exp(x))/(5*exp(x) + x^3)^(1/2),x)","\int \frac{x^2\,{\mathrm{e}}^x}{\sqrt{5\,{\mathrm{e}}^x+x^3}} \,d x","Not used",0,"int((x^2*exp(x))/(5*exp(x) + x^3)^(1/2), x)","F"
752,1,8,13,3.368243,"\text{Not used}","int(-(exp(x) + 1)/(x + exp(x))^(1/3),x)","-\frac{3\,{\left(x+{\mathrm{e}}^x\right)}^{2/3}}{2}","Not used",1,"-(3*(x + exp(x))^(2/3))/2","B"
753,1,8,13,3.379459,"\text{Not used}","int(x/(x + exp(x))^(1/3) - (x + exp(x))^(2/3) - 1/(x + exp(x))^(1/3),x)","-\frac{3\,{\left(x+{\mathrm{e}}^x\right)}^{2/3}}{2}","Not used",1,"-(3*(x + exp(x))^(2/3))/2","B"
754,0,-1,38,0.000000,"\text{Not used}","int(x/(x + exp(x))^(1/3),x)","\int \frac{x}{{\left(x+{\mathrm{e}}^x\right)}^{1/3}} \,d x","Not used",0,"int(x/(x + exp(x))^(1/3), x)","F"
755,1,9,12,3.469776,"\text{Not used}","int((5*x + exp(x)*(2*x + 3))/(x + exp(x))^(1/3),x)","3\,x\,{\left(x+{\mathrm{e}}^x\right)}^{2/3}","Not used",1,"3*x*(x + exp(x))^(2/3)","B"
756,1,9,12,3.639381,"\text{Not used}","int(3*(x + exp(x))^(2/3) + (2*x)/(x + exp(x))^(1/3) + (2*x*exp(x))/(x + exp(x))^(1/3),x)","3\,x\,{\left(x+{\mathrm{e}}^x\right)}^{2/3}","Not used",1,"3*x*(x + exp(x))^(2/3)","B"
757,1,22,31,3.394873,"\text{Not used}","int(-exp(x)*(exp(-x) + exp(x))^2*(exp(-x) - exp(x)),x)","\frac{{\mathrm{e}}^{-2\,x}}{2}-x+\frac{{\mathrm{e}}^{2\,x}}{2}+\frac{{\mathrm{e}}^{4\,x}}{4}","Not used",1,"exp(-2*x)/2 - x + exp(2*x)/2 + exp(4*x)/4","B"
758,0,-1,12,0.000000,"\text{Not used}","int(x/(x + exp(x)),x)","\int \frac{x}{x+{\mathrm{e}}^x} \,d x","Not used",0,"int(x/(x + exp(x)), x)","F"
759,0,-1,16,0.000000,"\text{Not used}","int(x^2/(x + exp(x))^(1/2),x)","\int \frac{x^2}{\sqrt{x+{\mathrm{e}}^x}} \,d x","Not used",0,"int(x^2/(x + exp(x))^(1/2), x)","F"
760,0,-1,14,0.000000,"\text{Not used}","int(exp(x)/(x + exp(x)),x)","\int \frac{{\mathrm{e}}^x}{x+{\mathrm{e}}^x} \,d x","Not used",0,"int(exp(x)/(x + exp(x)), x)","F"
761,0,-1,16,0.000000,"\text{Not used}","int(exp(x)/(exp(x) + x^2),x)","\int \frac{{\mathrm{e}}^x}{{\mathrm{e}}^x+x^2} \,d x","Not used",0,"int(exp(x)/(exp(x) + x^2), x)","F"
762,0,-1,15,0.000000,"\text{Not used}","int(F0(x)/(x + F0(x)),x)","\int \frac{F_{0}\left(x\right)}{x+F_{0}\left(x\right)} \,d x","Not used",0,"int(F0(x)/(x + F0(x)), x)","F"
763,0,-1,19,0.000000,"\text{Not used}","int(F0(x)/(F0(x) + x^2),x)","\int \frac{F_{0}\left(x\right)}{F_{0}\left(x\right)+x^2} \,d x","Not used",0,"int(F0(x)/(F0(x) + x^2), x)","F"
764,0,-1,23,0.000000,"\text{Not used}","int(F0(x)/(x + F0(x))^2,x)","\int \frac{F_{0}\left(x\right)}{{\left(x+F_{0}\left(x\right)\right)}^2} \,d x","Not used",0,"int(F0(x)/(x + F0(x))^2, x)","F"
765,0,-1,29,0.000000,"\text{Not used}","int(F0(x)/(F0(x) + x^2)^2,x)","\int \frac{F_{0}\left(x\right)}{{\left(F_{0}\left(x\right)+x^2\right)}^2} \,d x","Not used",0,"int(F0(x)/(F0(x) + x^2)^2, x)","F"
766,0,-1,36,0.000000,"\text{Not used}","int((F^(c + d*x)*a)^m*(F^(e + f*x)*b)^n,x)","\int {\left(F^{c+d\,x}\,a\right)}^m\,{\left(F^{e+f\,x}\,b\right)}^n \,d x","Not used",1,"int((F^(c + d*x)*a)^m*(F^(e + f*x)*b)^n, x)","F"
767,0,-1,37,0.000000,"\text{Not used}","int(exp(a + c + b*x^n + d*x^n),x)","\int {\mathrm{e}}^{a+c+b\,x^n+d\,x^n} \,d x","Not used",1,"int(exp(a + c + b*x^n + d*x^n), x)","F"
768,0,-1,50,0.000000,"\text{Not used}","int(f^(a + b*x^n)*g^(c + d*x^n),x)","\int f^{a+b\,x^n}\,g^{c+d\,x^n} \,d x","Not used",1,"int(f^(a + b*x^n)*g^(c + d*x^n), x)","F"
769,1,58,37,3.749531,"\text{Not used}","int(x^m*exp(x^n),x)","\frac{x^{m+1}\,{\mathrm{e}}^{\frac{x^n}{2}}\,{\mathrm{M}}_{1-\frac{m+n+1}{2\,n},\frac{m+n+1}{2\,n}-\frac{1}{2}}\left(x^n\right)}{{\left(x^n\right)}^{\frac{m+n+1}{2\,n}}\,\left(m+1\right)}","Not used",1,"(x^(m + 1)*exp(x^n/2)*whittakerM(1 - (m + n + 1)/(2*n), (m + n + 1)/(2*n) - 1/2, x^n))/((x^n)^((m + n + 1)/(2*n))*(m + 1))","B"
770,1,71,41,3.781851,"\text{Not used}","int(f^(x^n)*x^m,x)","\frac{f^{x^n}\,x^{m+1}\,{\mathrm{e}}^{-\frac{x^n\,\ln\left(f\right)}{2}}\,{\mathrm{M}}_{1-\frac{m+n+1}{2\,n},\frac{m+n+1}{2\,n}-\frac{1}{2}}\left(x^n\,\ln\left(f\right)\right)}{{\left(x^n\,\ln\left(f\right)\right)}^{\frac{m+n+1}{2\,n}}\,\left(m+1\right)}","Not used",1,"(f^(x^n)*x^(m + 1)*exp(-(x^n*log(f))/2)*whittakerM(1 - (m + n + 1)/(2*n), (m + n + 1)/(2*n) - 1/2, x^n*log(f)))/((x^n*log(f))^((m + n + 1)/(2*n))*(m + 1))","B"
771,1,77,52,3.894601,"\text{Not used}","int(exp((a + b*x)^n)*(a + b*x)^m,x)","\frac{{\mathrm{e}}^{\frac{{\left(a+b\,x\right)}^n}{2}}\,{\left(a+b\,x\right)}^{m+1}\,{\mathrm{M}}_{1-\frac{m+n+1}{2\,n},\frac{m+n+1}{2\,n}-\frac{1}{2}}\left({\left(a+b\,x\right)}^n\right)}{b\,{\left({\left(a+b\,x\right)}^n\right)}^{\frac{m+n+1}{2\,n}}\,\left(m+1\right)}","Not used",1,"(exp((a + b*x)^n/2)*(a + b*x)^(m + 1)*whittakerM(1 - (m + n + 1)/(2*n), (m + n + 1)/(2*n) - 1/2, (a + b*x)^n))/(b*((a + b*x)^n)^((m + n + 1)/(2*n))*(m + 1))","B"
772,1,94,56,4.007118,"\text{Not used}","int(f^((a + b*x)^n)*(a + b*x)^m,x)","\frac{f^{{\left(a+b\,x\right)}^n}\,{\mathrm{e}}^{-\frac{\ln\left(f\right)\,{\left(a+b\,x\right)}^n}{2}}\,{\left(a+b\,x\right)}^{m+1}\,{\mathrm{M}}_{1-\frac{m+n+1}{2\,n},\frac{m+n+1}{2\,n}-\frac{1}{2}}\left(\ln\left(f\right)\,{\left(a+b\,x\right)}^n\right)}{b\,\left(m+1\right)\,{\left(\ln\left(f\right)\,{\left(a+b\,x\right)}^n\right)}^{\frac{m+n+1}{2\,n}}}","Not used",1,"(f^((a + b*x)^n)*exp(-(log(f)*(a + b*x)^n)/2)*(a + b*x)^(m + 1)*whittakerM(1 - (m + n + 1)/(2*n), (m + n + 1)/(2*n) - 1/2, log(f)*(a + b*x)^n))/(b*(m + 1)*(log(f)*(a + b*x)^n)^((m + n + 1)/(2*n)))","B"
773,0,-1,80,0.000000,"\text{Not used}","int(x*exp((a + b*x)^3),x)","\int x\,{\mathrm{e}}^{{\left(a+b\,x\right)}^3} \,d x","Not used",1,"int(x*exp((a + b*x)^3), x)","F"
774,1,14,17,3.674291,"\text{Not used}","int((3*(x + exp(x))^(1/3) + exp(x)*(3*x + 2*x^2) + 5*x^2)/(x*(x + exp(x))^(1/3)),x)","3\,\ln\left(x\right)+3\,x\,{\left(x+{\mathrm{e}}^x\right)}^{2/3}","Not used",1,"3*log(x) + 3*x*(x + exp(x))^(2/3)","B"