1,0,-1,67,0.000000,"\text{Not used}","int(F^(c*(a + b*x))*(d + e*x)^m,x)","\int F^{c\,\left(a+b\,x\right)}\,{\left(d+e\,x\right)}^m \,d x","Not used",1,"int(F^(c*(a + b*x))*(d + e*x)^m, x)","F"
2,1,260,141,3.680726,"\text{Not used}","int(F^(c*(a + b*x))*(d + e*x)^4,x)","\frac{F^{a\,c+b\,c\,x}\,\left(b^4\,c^4\,d^4\,{\ln\left(F\right)}^4+4\,b^4\,c^4\,d^3\,e\,x\,{\ln\left(F\right)}^4+6\,b^4\,c^4\,d^2\,e^2\,x^2\,{\ln\left(F\right)}^4+4\,b^4\,c^4\,d\,e^3\,x^3\,{\ln\left(F\right)}^4+b^4\,c^4\,e^4\,x^4\,{\ln\left(F\right)}^4-4\,b^3\,c^3\,d^3\,e\,{\ln\left(F\right)}^3-12\,b^3\,c^3\,d^2\,e^2\,x\,{\ln\left(F\right)}^3-12\,b^3\,c^3\,d\,e^3\,x^2\,{\ln\left(F\right)}^3-4\,b^3\,c^3\,e^4\,x^3\,{\ln\left(F\right)}^3+12\,b^2\,c^2\,d^2\,e^2\,{\ln\left(F\right)}^2+24\,b^2\,c^2\,d\,e^3\,x\,{\ln\left(F\right)}^2+12\,b^2\,c^2\,e^4\,x^2\,{\ln\left(F\right)}^2-24\,b\,c\,d\,e^3\,\ln\left(F\right)-24\,b\,c\,e^4\,x\,\ln\left(F\right)+24\,e^4\right)}{b^5\,c^5\,{\ln\left(F\right)}^5}","Not used",1,"(F^(a*c + b*c*x)*(24*e^4 + b^4*c^4*d^4*log(F)^4 - 24*b*c*e^4*x*log(F) - 4*b^3*c^3*d^3*e*log(F)^3 + 12*b^2*c^2*d^2*e^2*log(F)^2 + 12*b^2*c^2*e^4*x^2*log(F)^2 - 4*b^3*c^3*e^4*x^3*log(F)^3 + b^4*c^4*e^4*x^4*log(F)^4 - 24*b*c*d*e^3*log(F) + 6*b^4*c^4*d^2*e^2*x^2*log(F)^4 + 24*b^2*c^2*d*e^3*x*log(F)^2 + 4*b^4*c^4*d^3*e*x*log(F)^4 - 12*b^3*c^3*d^2*e^2*x*log(F)^3 - 12*b^3*c^3*d*e^3*x^2*log(F)^3 + 4*b^4*c^4*d*e^3*x^3*log(F)^4))/(b^5*c^5*log(F)^5)","B"
3,1,165,110,3.564270,"\text{Not used}","int(F^(c*(a + b*x))*(d + e*x)^3,x)","\frac{F^{a\,c+b\,c\,x}\,\left(b^3\,c^3\,d^3\,{\ln\left(F\right)}^3+3\,b^3\,c^3\,d^2\,e\,x\,{\ln\left(F\right)}^3+3\,b^3\,c^3\,d\,e^2\,x^2\,{\ln\left(F\right)}^3+b^3\,c^3\,e^3\,x^3\,{\ln\left(F\right)}^3-3\,b^2\,c^2\,d^2\,e\,{\ln\left(F\right)}^2-6\,b^2\,c^2\,d\,e^2\,x\,{\ln\left(F\right)}^2-3\,b^2\,c^2\,e^3\,x^2\,{\ln\left(F\right)}^2+6\,b\,c\,d\,e^2\,\ln\left(F\right)+6\,b\,c\,e^3\,x\,\ln\left(F\right)-6\,e^3\right)}{b^4\,c^4\,{\ln\left(F\right)}^4}","Not used",1,"(F^(a*c + b*c*x)*(b^3*c^3*d^3*log(F)^3 - 6*e^3 + 6*b*c*e^3*x*log(F) - 3*b^2*c^2*d^2*e*log(F)^2 - 3*b^2*c^2*e^3*x^2*log(F)^2 + b^3*c^3*e^3*x^3*log(F)^3 + 6*b*c*d*e^2*log(F) - 6*b^2*c^2*d*e^2*x*log(F)^2 + 3*b^3*c^3*d^2*e*x*log(F)^3 + 3*b^3*c^3*d*e^2*x^2*log(F)^3))/(b^4*c^4*log(F)^4)","B"
4,1,91,79,3.506536,"\text{Not used}","int(F^(c*(a + b*x))*(d + e*x)^2,x)","\frac{F^{a\,c+b\,c\,x}\,\left(b^2\,c^2\,d^2\,{\ln\left(F\right)}^2+2\,b^2\,c^2\,d\,e\,x\,{\ln\left(F\right)}^2+b^2\,c^2\,e^2\,x^2\,{\ln\left(F\right)}^2-2\,b\,c\,d\,e\,\ln\left(F\right)-2\,b\,c\,e^2\,x\,\ln\left(F\right)+2\,e^2\right)}{b^3\,c^3\,{\ln\left(F\right)}^3}","Not used",1,"(F^(a*c + b*c*x)*(2*e^2 + b^2*c^2*d^2*log(F)^2 - 2*b*c*e^2*x*log(F) + b^2*c^2*e^2*x^2*log(F)^2 - 2*b*c*d*e*log(F) + 2*b^2*c^2*d*e*x*log(F)^2))/(b^3*c^3*log(F)^3)","B"
5,1,38,48,3.370927,"\text{Not used}","int(F^(c*(a + b*x))*(d + e*x),x)","\frac{F^{a\,c+b\,c\,x}\,\left(b\,c\,d\,\ln\left(F\right)-e+b\,c\,e\,x\,\ln\left(F\right)\right)}{b^2\,c^2\,{\ln\left(F\right)}^2}","Not used",1,"(F^(a*c + b*c*x)*(b*c*d*log(F) - e + b*c*e*x*log(F)))/(b^2*c^2*log(F)^2)","B"
6,1,21,20,3.428053,"\text{Not used}","int(F^(c*(a + b*x)),x)","\frac{F^{a\,c+b\,c\,x}}{b\,c\,\ln\left(F\right)}","Not used",1,"F^(a*c + b*c*x)/(b*c*log(F))","B"
7,0,-1,31,0.000000,"\text{Not used}","int(F^(c*(a + b*x))/(d + e*x),x)","\int \frac{F^{c\,\left(a+b\,x\right)}}{d+e\,x} \,d x","Not used",1,"int(F^(c*(a + b*x))/(d + e*x), x)","F"
8,0,-1,57,0.000000,"\text{Not used}","int(F^(c*(a + b*x))/(d + e*x)^2,x)","\int \frac{F^{c\,\left(a+b\,x\right)}}{{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int(F^(c*(a + b*x))/(d + e*x)^2, x)","F"
9,0,-1,95,0.000000,"\text{Not used}","int(F^(c*(a + b*x))/(d + e*x)^3,x)","\int \frac{F^{c\,\left(a+b\,x\right)}}{{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int(F^(c*(a + b*x))/(d + e*x)^3, x)","F"
10,0,-1,128,0.000000,"\text{Not used}","int(F^(c*(a + b*x))/(d + e*x)^4,x)","\int \frac{F^{c\,\left(a+b\,x\right)}}{{\left(d+e\,x\right)}^4} \,d x","Not used",1,"int(F^(c*(a + b*x))/(d + e*x)^4, x)","F"
11,0,-1,161,0.000000,"\text{Not used}","int(F^(c*(a + b*x))/(d + e*x)^5,x)","\int \frac{F^{c\,\left(a+b\,x\right)}}{{\left(d+e\,x\right)}^5} \,d x","Not used",1,"int(F^(c*(a + b*x))/(d + e*x)^5, x)","F"
12,1,260,141,3.485538,"\text{Not used}","int(F^(c*(a + b*x))*(d^4 + e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x),x)","\frac{F^{a\,c+b\,c\,x}\,\left(b^4\,c^4\,d^4\,{\ln\left(F\right)}^4+4\,b^4\,c^4\,d^3\,e\,x\,{\ln\left(F\right)}^4+6\,b^4\,c^4\,d^2\,e^2\,x^2\,{\ln\left(F\right)}^4+4\,b^4\,c^4\,d\,e^3\,x^3\,{\ln\left(F\right)}^4+b^4\,c^4\,e^4\,x^4\,{\ln\left(F\right)}^4-4\,b^3\,c^3\,d^3\,e\,{\ln\left(F\right)}^3-12\,b^3\,c^3\,d^2\,e^2\,x\,{\ln\left(F\right)}^3-12\,b^3\,c^3\,d\,e^3\,x^2\,{\ln\left(F\right)}^3-4\,b^3\,c^3\,e^4\,x^3\,{\ln\left(F\right)}^3+12\,b^2\,c^2\,d^2\,e^2\,{\ln\left(F\right)}^2+24\,b^2\,c^2\,d\,e^3\,x\,{\ln\left(F\right)}^2+12\,b^2\,c^2\,e^4\,x^2\,{\ln\left(F\right)}^2-24\,b\,c\,d\,e^3\,\ln\left(F\right)-24\,b\,c\,e^4\,x\,\ln\left(F\right)+24\,e^4\right)}{b^5\,c^5\,{\ln\left(F\right)}^5}","Not used",1,"(F^(a*c + b*c*x)*(24*e^4 + b^4*c^4*d^4*log(F)^4 - 24*b*c*e^4*x*log(F) - 4*b^3*c^3*d^3*e*log(F)^3 + 12*b^2*c^2*d^2*e^2*log(F)^2 + 12*b^2*c^2*e^4*x^2*log(F)^2 - 4*b^3*c^3*e^4*x^3*log(F)^3 + b^4*c^4*e^4*x^4*log(F)^4 - 24*b*c*d*e^3*log(F) + 6*b^4*c^4*d^2*e^2*x^2*log(F)^4 + 24*b^2*c^2*d*e^3*x*log(F)^2 + 4*b^4*c^4*d^3*e*x*log(F)^4 - 12*b^3*c^3*d^2*e^2*x*log(F)^3 - 12*b^3*c^3*d*e^3*x^2*log(F)^3 + 4*b^4*c^4*d*e^3*x^3*log(F)^4))/(b^5*c^5*log(F)^5)","B"
13,1,165,110,3.429099,"\text{Not used}","int(F^(c*(a + b*x))*(d^3 + e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x),x)","\frac{F^{a\,c+b\,c\,x}\,\left(b^3\,c^3\,d^3\,{\ln\left(F\right)}^3+3\,b^3\,c^3\,d^2\,e\,x\,{\ln\left(F\right)}^3+3\,b^3\,c^3\,d\,e^2\,x^2\,{\ln\left(F\right)}^3+b^3\,c^3\,e^3\,x^3\,{\ln\left(F\right)}^3-3\,b^2\,c^2\,d^2\,e\,{\ln\left(F\right)}^2-6\,b^2\,c^2\,d\,e^2\,x\,{\ln\left(F\right)}^2-3\,b^2\,c^2\,e^3\,x^2\,{\ln\left(F\right)}^2+6\,b\,c\,d\,e^2\,\ln\left(F\right)+6\,b\,c\,e^3\,x\,\ln\left(F\right)-6\,e^3\right)}{b^4\,c^4\,{\ln\left(F\right)}^4}","Not used",1,"(F^(a*c + b*c*x)*(b^3*c^3*d^3*log(F)^3 - 6*e^3 + 6*b*c*e^3*x*log(F) - 3*b^2*c^2*d^2*e*log(F)^2 - 3*b^2*c^2*e^3*x^2*log(F)^2 + b^3*c^3*e^3*x^3*log(F)^3 + 6*b*c*d*e^2*log(F) - 6*b^2*c^2*d*e^2*x*log(F)^2 + 3*b^3*c^3*d^2*e*x*log(F)^3 + 3*b^3*c^3*d*e^2*x^2*log(F)^3))/(b^4*c^4*log(F)^4)","B"
14,1,91,79,3.402722,"\text{Not used}","int(F^(c*(a + b*x))*(d^2 + e^2*x^2 + 2*d*e*x),x)","\frac{F^{a\,c+b\,c\,x}\,\left(b^2\,c^2\,d^2\,{\ln\left(F\right)}^2+2\,b^2\,c^2\,d\,e\,x\,{\ln\left(F\right)}^2+b^2\,c^2\,e^2\,x^2\,{\ln\left(F\right)}^2-2\,b\,c\,d\,e\,\ln\left(F\right)-2\,b\,c\,e^2\,x\,\ln\left(F\right)+2\,e^2\right)}{b^3\,c^3\,{\ln\left(F\right)}^3}","Not used",1,"(F^(a*c + b*c*x)*(2*e^2 + b^2*c^2*d^2*log(F)^2 - 2*b*c*e^2*x*log(F) + b^2*c^2*e^2*x^2*log(F)^2 - 2*b*c*d*e*log(F) + 2*b^2*c^2*d*e*x*log(F)^2))/(b^3*c^3*log(F)^3)","B"
15,0,-1,57,0.000000,"\text{Not used}","int(F^(c*(a + b*x))/(d^2 + e^2*x^2 + 2*d*e*x),x)","\int \frac{F^{c\,\left(a+b\,x\right)}}{d^2+2\,d\,e\,x+e^2\,x^2} \,d x","Not used",1,"int(F^(c*(a + b*x))/(d^2 + e^2*x^2 + 2*d*e*x), x)","F"
16,0,-1,95,0.000000,"\text{Not used}","int(F^(c*(a + b*x))/(d^3 + e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x),x)","\int \frac{F^{c\,\left(a+b\,x\right)}}{d^3+3\,d^2\,e\,x+3\,d\,e^2\,x^2+e^3\,x^3} \,d x","Not used",1,"int(F^(c*(a + b*x))/(d^3 + e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x), x)","F"
17,0,-1,128,0.000000,"\text{Not used}","int(F^(c*(a + b*x))/(d^4 + e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x),x)","\int \frac{F^{c\,\left(a+b\,x\right)}}{d^4+4\,d^3\,e\,x+6\,d^2\,e^2\,x^2+4\,d\,e^3\,x^3+e^4\,x^4} \,d x","Not used",1,"int(F^(c*(a + b*x))/(d^4 + e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x), x)","F"
18,0,-1,161,0.000000,"\text{Not used}","int(F^(c*(a + b*x))/(d^5 + e^5*x^5 + 5*d*e^4*x^4 + 10*d^3*e^2*x^2 + 10*d^2*e^3*x^3 + 5*d^4*e*x),x)","\int \frac{F^{c\,\left(a+b\,x\right)}}{d^5+5\,d^4\,e\,x+10\,d^3\,e^2\,x^2+10\,d^2\,e^3\,x^3+5\,d\,e^4\,x^4+e^5\,x^5} \,d x","Not used",1,"int(F^(c*(a + b*x))/(d^5 + e^5*x^5 + 5*d*e^4*x^4 + 10*d^3*e^2*x^2 + 10*d^2*e^3*x^3 + 5*d^4*e*x), x)","F"
19,0,-1,72,0.000000,"\text{Not used}","int(F^(c*(a + b*x))*((d + e*x)^n)^m,x)","\int F^{c\,\left(a+b\,x\right)}\,{\left({\left(d+e\,x\right)}^n\right)}^m \,d x","Not used",1,"int(F^(c*(a + b*x))*((d + e*x)^n)^m, x)","F"
20,0,-1,71,0.000000,"\text{Not used}","int(F^(c*(a + b*x))*(d^4 + e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x)^m,x)","\int F^{c\,\left(a+b\,x\right)}\,{\left(d^4+4\,d^3\,e\,x+6\,d^2\,e^2\,x^2+4\,d\,e^3\,x^3+e^4\,x^4\right)}^m \,d x","Not used",1,"int(F^(c*(a + b*x))*(d^4 + e^4*x^4 + 4*d*e^3*x^3 + 6*d^2*e^2*x^2 + 4*d^3*e*x)^m, x)","F"
21,0,-1,71,0.000000,"\text{Not used}","int(F^(c*(a + b*x))*(d^3 + e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x)^m,x)","\int F^{c\,\left(a+b\,x\right)}\,{\left(d^3+3\,d^2\,e\,x+3\,d\,e^2\,x^2+e^3\,x^3\right)}^m \,d x","Not used",1,"int(F^(c*(a + b*x))*(d^3 + e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x)^m, x)","F"
22,0,-1,71,0.000000,"\text{Not used}","int(F^(c*(a + b*x))*(d^2 + e^2*x^2 + 2*d*e*x)^m,x)","\int F^{c\,\left(a+b\,x\right)}\,{\left(d^2+2\,d\,e\,x+e^2\,x^2\right)}^m \,d x","Not used",1,"int(F^(c*(a + b*x))*(d^2 + e^2*x^2 + 2*d*e*x)^m, x)","F"
23,0,-1,67,0.000000,"\text{Not used}","int(F^(c*(a + b*x))*(d + e*x)^m,x)","\int F^{c\,\left(a+b\,x\right)}\,{\left(d+e\,x\right)}^m \,d x","Not used",1,"int(F^(c*(a + b*x))*(d + e*x)^m, x)","F"
24,0,-1,69,0.000000,"\text{Not used}","int(F^(c*(a + b*x))/(d + e*x)^m,x)","\int \frac{F^{c\,\left(a+b\,x\right)}}{{\left(d+e\,x\right)}^m} \,d x","Not used",1,"int(F^(c*(a + b*x))/(d + e*x)^m, x)","F"
25,0,-1,73,0.000000,"\text{Not used}","int(F^(c*(a + b*x))/(d^2 + e^2*x^2 + 2*d*e*x)^m,x)","\int \frac{F^{c\,\left(a+b\,x\right)}}{{\left(d^2+2\,d\,e\,x+e^2\,x^2\right)}^m} \,d x","Not used",1,"int(F^(c*(a + b*x))/(d^2 + e^2*x^2 + 2*d*e*x)^m, x)","F"
26,0,-1,73,0.000000,"\text{Not used}","int(F^(c*(a + b*x))/(d^3 + e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x)^m,x)","\int \frac{F^{c\,\left(a+b\,x\right)}}{{\left(d^3+3\,d^2\,e\,x+3\,d\,e^2\,x^2+e^3\,x^3\right)}^m} \,d x","Not used",1,"int(F^(c*(a + b*x))/(d^3 + e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x)^m, x)","F"
27,1,13,15,3.537605,"\text{Not used}","int(F^(5*x + 2),x)","\frac{F^{5\,x+2}}{5\,\ln\left(F\right)}","Not used",1,"F^(5*x + 2)/(5*log(F))","B"
28,1,15,15,3.441853,"\text{Not used}","int(F^(a + b*x),x)","\frac{F^{a+b\,x}}{b\,\ln\left(F\right)}","Not used",1,"F^(a + b*x)/(b*log(F))","B"
29,1,11,19,0.091734,"\text{Not used}","int(10^(5*x + 2),x)","\frac{20\,{10}^{5\,x}}{\ln\left(10\right)}","Not used",1,"(20*10^(5*x))/log(10)","B"
30,1,82,131,3.433345,"\text{Not used}","int(F^(a + b*x)*x^(7/2),x)","\frac{F^a\,x^{7/2}\,\left(\frac{105\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-b\,x\,\ln\left(F\right)}\right)}{16}+F^{b\,x}\,\left(\frac{105\,\sqrt{-b\,x\,\ln\left(F\right)}}{8}+\frac{35\,{\left(-b\,x\,\ln\left(F\right)\right)}^{3/2}}{4}+\frac{7\,{\left(-b\,x\,\ln\left(F\right)\right)}^{5/2}}{2}+{\left(-b\,x\,\ln\left(F\right)\right)}^{7/2}\right)\right)}{b\,\ln\left(F\right)\,{\left(-b\,x\,\ln\left(F\right)\right)}^{7/2}}","Not used",1,"(F^a*x^(7/2)*((105*pi^(1/2)*erfc((-b*x*log(F))^(1/2)))/16 + F^(b*x)*((105*(-b*x*log(F))^(1/2))/8 + (35*(-b*x*log(F))^(3/2))/4 + (7*(-b*x*log(F))^(5/2))/2 + (-b*x*log(F))^(7/2))))/(b*log(F)*(-b*x*log(F))^(7/2))","B"
31,1,72,108,3.463672,"\text{Not used}","int(F^(a + b*x)*x^(5/2),x)","\frac{F^a\,x^{5/2}\,\left(F^{b\,x}\,\left(\frac{15\,\sqrt{-b\,x\,\ln\left(F\right)}}{4}+\frac{5\,{\left(-b\,x\,\ln\left(F\right)\right)}^{3/2}}{2}+{\left(-b\,x\,\ln\left(F\right)\right)}^{5/2}\right)+\frac{15\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-b\,x\,\ln\left(F\right)}\right)}{8}\right)}{b\,\ln\left(F\right)\,{\left(-b\,x\,\ln\left(F\right)\right)}^{5/2}}","Not used",1,"(F^a*x^(5/2)*(F^(b*x)*((15*(-b*x*log(F))^(1/2))/4 + (5*(-b*x*log(F))^(3/2))/2 + (-b*x*log(F))^(5/2)) + (15*pi^(1/2)*erfc((-b*x*log(F))^(1/2)))/8))/(b*log(F)*(-b*x*log(F))^(5/2))","B"
32,1,75,85,3.417157,"\text{Not used}","int(F^(a + b*x)*x^(3/2),x)","\frac{F^a\,F^{b\,x}\,x^{3/2}}{b\,\ln\left(F\right)}-\frac{3\,F^a\,F^{b\,x}\,\sqrt{x}}{2\,b^2\,{\ln\left(F\right)}^2}+\frac{3\,F^a\,x^{3/2}\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-b\,x\,\ln\left(F\right)}\right)}{4\,b\,\ln\left(F\right)\,{\left(-b\,x\,\ln\left(F\right)\right)}^{3/2}}","Not used",1,"(F^a*F^(b*x)*x^(3/2))/(b*log(F)) - (3*F^a*F^(b*x)*x^(1/2))/(2*b^2*log(F)^2) + (3*F^a*x^(3/2)*pi^(1/2)*erfc((-b*x*log(F))^(1/2)))/(4*b*log(F)*(-b*x*log(F))^(3/2))","B"
33,1,55,62,3.410774,"\text{Not used}","int(F^(a + b*x)*x^(1/2),x)","\frac{F^a\,F^{b\,x}\,\sqrt{x}}{b\,\ln\left(F\right)}+\frac{F^a\,\sqrt{x}\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-b\,x\,\ln\left(F\right)}\right)}{2\,b\,\ln\left(F\right)\,\sqrt{-b\,x\,\ln\left(F\right)}}","Not used",1,"(F^a*F^(b*x)*x^(1/2))/(b*log(F)) + (F^a*x^(1/2)*pi^(1/2)*erfc((-b*x*log(F))^(1/2)))/(2*b*log(F)*(-b*x*log(F))^(1/2))","B"
34,1,32,38,3.496785,"\text{Not used}","int(F^(a + b*x)/x^(1/2),x)","\frac{F^a\,\mathrm{erfc}\left(\sqrt{-b\,x\,\ln\left(F\right)}\right)\,\sqrt{-\pi \,b\,x\,\ln\left(F\right)}}{b\,\sqrt{x}\,\ln\left(F\right)}","Not used",1,"(F^a*erfc((-b*x*log(F))^(1/2))*(-b*x*pi*log(F))^(1/2))/(b*x^(1/2)*log(F))","B"
35,1,42,54,3.488171,"\text{Not used}","int(F^(a + b*x)/x^(3/2),x)","\frac{2\,F^a\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-b\,x\,\ln\left(F\right)}\right)\,\sqrt{-b\,x\,\ln\left(F\right)}}{\sqrt{x}}-\frac{2\,F^a\,F^{b\,x}}{\sqrt{x}}","Not used",1,"(2*F^a*pi^(1/2)*erfc((-b*x*log(F))^(1/2))*(-b*x*log(F))^(1/2))/x^(1/2) - (2*F^a*F^(b*x))/x^(1/2)","B"
36,1,61,77,3.505197,"\text{Not used}","int(F^(a + b*x)/x^(5/2),x)","\frac{4\,F^a\,b\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{-b\,x\,\ln\left(F\right)}\right)\,\ln\left(F\right)\,\sqrt{-b\,x\,\ln\left(F\right)}}{3\,\sqrt{x}}-\frac{4\,F^a\,F^{b\,x}\,b\,\ln\left(F\right)}{3\,\sqrt{x}}-\frac{2\,F^a\,F^{b\,x}}{3\,x^{3/2}}","Not used",1,"(4*F^a*b*pi^(1/2)*erfc((-b*x*log(F))^(1/2))*log(F)*(-b*x*log(F))^(1/2))/(3*x^(1/2)) - (4*F^a*F^(b*x)*b*log(F))/(3*x^(1/2)) - (2*F^a*F^(b*x))/(3*x^(3/2))","B"
37,1,80,100,3.452749,"\text{Not used}","int(F^(a + b*x)/x^(7/2),x)","-\frac{\frac{2\,F^{a+b\,x}}{5}+\frac{4\,F^{a+b\,x}\,b\,x\,\ln\left(F\right)}{15}+\frac{8\,F^{a+b\,x}\,b^2\,x^2\,{\ln\left(F\right)}^2}{15}-\frac{8\,F^a\,b^2\,x^2\,\mathrm{erfc}\left(\sqrt{-b\,x\,\ln\left(F\right)}\right)\,{\ln\left(F\right)}^2\,\sqrt{-\pi \,b\,x\,\ln\left(F\right)}}{15}}{x^{5/2}}","Not used",1,"-((2*F^(a + b*x))/5 + (4*F^(a + b*x)*b*x*log(F))/15 + (8*F^(a + b*x)*b^2*x^2*log(F)^2)/15 - (8*F^a*b^2*x^2*erfc((-b*x*log(F))^(1/2))*log(F)^2*(-b*x*pi*log(F))^(1/2))/15)/x^(5/2)","B"
38,1,99,123,3.525133,"\text{Not used}","int(F^(a + b*x)/x^(9/2),x)","-\frac{\frac{2\,F^{a+b\,x}}{7}+\frac{4\,F^{a+b\,x}\,b\,x\,\ln\left(F\right)}{35}+\frac{8\,F^{a+b\,x}\,b^2\,x^2\,{\ln\left(F\right)}^2}{105}+\frac{16\,F^{a+b\,x}\,b^3\,x^3\,{\ln\left(F\right)}^3}{105}-\frac{16\,F^a\,b^3\,x^3\,\mathrm{erfc}\left(\sqrt{-b\,x\,\ln\left(F\right)}\right)\,{\ln\left(F\right)}^3\,\sqrt{-\pi \,b\,x\,\ln\left(F\right)}}{105}}{x^{7/2}}","Not used",1,"-((2*F^(a + b*x))/7 + (4*F^(a + b*x)*b*x*log(F))/35 + (8*F^(a + b*x)*b^2*x^2*log(F)^2)/105 + (16*F^(a + b*x)*b^3*x^3*log(F)^3)/105 - (16*F^a*b^3*x^3*erfc((-b*x*log(F))^(1/2))*log(F)^3*(-b*x*pi*log(F))^(1/2))/105)/x^(7/2)","B"
39,0,-1,208,0.000000,"\text{Not used}","int(F^(c*(a + b*x))*(d + e*x)^(7/2),x)","\int F^{c\,\left(a+b\,x\right)}\,{\left(d+e\,x\right)}^{7/2} \,d x","Not used",1,"int(F^(c*(a + b*x))*(d + e*x)^(7/2), x)","F"
40,0,-1,173,0.000000,"\text{Not used}","int(F^(c*(a + b*x))*(d + e*x)^(5/2),x)","\int F^{c\,\left(a+b\,x\right)}\,{\left(d+e\,x\right)}^{5/2} \,d x","Not used",1,"int(F^(c*(a + b*x))*(d + e*x)^(5/2), x)","F"
41,0,-1,138,0.000000,"\text{Not used}","int(F^(c*(a + b*x))*(d + e*x)^(3/2),x)","\int F^{c\,\left(a+b\,x\right)}\,{\left(d+e\,x\right)}^{3/2} \,d x","Not used",1,"int(F^(c*(a + b*x))*(d + e*x)^(3/2), x)","F"
42,0,-1,105,0.000000,"\text{Not used}","int(F^(c*(a + b*x))*(d + e*x)^(1/2),x)","\int F^{c\,\left(a+b\,x\right)}\,\sqrt{d+e\,x} \,d x","Not used",1,"int(F^(c*(a + b*x))*(d + e*x)^(1/2), x)","F"
43,0,-1,72,0.000000,"\text{Not used}","int(F^(c*(a + b*x))/(d + e*x)^(1/2),x)","\int \frac{F^{c\,\left(a+b\,x\right)}}{\sqrt{d+e\,x}} \,d x","Not used",1,"int(F^(c*(a + b*x))/(d + e*x)^(1/2), x)","F"
44,0,-1,97,0.000000,"\text{Not used}","int(F^(c*(a + b*x))/(d + e*x)^(3/2),x)","\int \frac{F^{c\,\left(a+b\,x\right)}}{{\left(d+e\,x\right)}^{3/2}} \,d x","Not used",1,"int(F^(c*(a + b*x))/(d + e*x)^(3/2), x)","F"
45,0,-1,130,0.000000,"\text{Not used}","int(F^(c*(a + b*x))/(d + e*x)^(5/2),x)","\int \frac{F^{c\,\left(a+b\,x\right)}}{{\left(d+e\,x\right)}^{5/2}} \,d x","Not used",1,"int(F^(c*(a + b*x))/(d + e*x)^(5/2), x)","F"
46,0,-1,165,0.000000,"\text{Not used}","int(F^(c*(a + b*x))/(d + e*x)^(7/2),x)","\int \frac{F^{c\,\left(a+b\,x\right)}}{{\left(d+e\,x\right)}^{7/2}} \,d x","Not used",1,"int(F^(c*(a + b*x))/(d + e*x)^(7/2), x)","F"
47,0,-1,200,0.000000,"\text{Not used}","int(F^(c*(a + b*x))/(d + e*x)^(9/2),x)","\int \frac{F^{c\,\left(a+b\,x\right)}}{{\left(d+e\,x\right)}^{9/2}} \,d x","Not used",1,"int(F^(c*(a + b*x))/(d + e*x)^(9/2), x)","F"
48,1,89,151,3.433862,"\text{Not used}","int(x^(13/2)*exp(-b*x),x)","-\frac{135135\,x^{13/2}\,\sqrt{\pi }\,\mathrm{erfc}\left(\sqrt{b\,x}\right)}{128\,b\,{\left(b\,x\right)}^{13/2}}-\frac{x^{13/2}\,{\mathrm{e}}^{-b\,x}\,\left(\frac{135135\,\sqrt{b\,x}}{64}+\frac{45045\,{\left(b\,x\right)}^{3/2}}{32}+\frac{9009\,{\left(b\,x\right)}^{5/2}}{16}+\frac{1287\,{\left(b\,x\right)}^{7/2}}{8}+\frac{143\,{\left(b\,x\right)}^{9/2}}{4}+\frac{13\,{\left(b\,x\right)}^{11/2}}{2}+{\left(b\,x\right)}^{13/2}\right)}{b\,{\left(b\,x\right)}^{13/2}}","Not used",1,"- (135135*x^(13/2)*pi^(1/2)*erfc((b*x)^(1/2)))/(128*b*(b*x)^(13/2)) - (x^(13/2)*exp(-b*x)*((135135*(b*x)^(1/2))/64 + (45045*(b*x)^(3/2))/32 + (9009*(b*x)^(5/2))/16 + (1287*(b*x)^(7/2))/8 + (143*(b*x)^(9/2))/4 + (13*(b*x)^(11/2))/2 + (b*x)^(13/2)))/(b*(b*x)^(13/2))","B"
49,0,-1,71,0.000000,"\text{Not used}","int(F^(c*(a + b*x))*(d + e*x)^(4/3),x)","\int F^{c\,\left(a+b\,x\right)}\,{\left(d+e\,x\right)}^{4/3} \,d x","Not used",1,"int(F^(c*(a + b*x))*(d + e*x)^(4/3), x)","F"
50,0,-1,98,0.000000,"\text{Not used}","int((F^(c*(a + b*x)))^n*(d + e*x)^(4/3),x)","\int {\left(F^{c\,\left(a+b\,x\right)}\right)}^n\,{\left(d+e\,x\right)}^{4/3} \,d x","Not used",1,"int((F^(c*(a + b*x)))^n*(d + e*x)^(4/3), x)","F"
51,1,38,48,0.002096,"\text{Not used}","int(F^(c*(a + b*x))*(d + e*x),x)","\frac{F^{a\,c+b\,c\,x}\,\left(b\,c\,d\,\ln\left(F\right)-e+b\,c\,e\,x\,\ln\left(F\right)\right)}{b^2\,c^2\,{\ln\left(F\right)}^2}","Not used",1,"(F^(a*c + b*c*x)*(b*c*d*log(F) - e + b*c*e*x*log(F)))/(b^2*c^2*log(F)^2)","B"
52,1,80,135,3.395979,"\text{Not used}","int(F^(c*(a + b*x))*(d + e*x + f*x^2),x)","\frac{F^{a\,c+b\,c\,x}\,\left(f\,b^2\,c^2\,x^2\,{\ln\left(F\right)}^2+e\,b^2\,c^2\,x\,{\ln\left(F\right)}^2+d\,b^2\,c^2\,{\ln\left(F\right)}^2-2\,f\,b\,c\,x\,\ln\left(F\right)-e\,b\,c\,\ln\left(F\right)+2\,f\right)}{b^3\,c^3\,{\ln\left(F\right)}^3}","Not used",1,"(F^(a*c + b*c*x)*(2*f - b*c*e*log(F) + b^2*c^2*d*log(F)^2 + b^2*c^2*f*x^2*log(F)^2 - 2*b*c*f*x*log(F) + b^2*c^2*e*x*log(F)^2))/(b^3*c^3*log(F)^3)","B"
53,1,138,229,3.541616,"\text{Not used}","int(F^(c*(a + b*x))*(d + e*x + f*x^2 + g*x^3),x)","\frac{F^{a\,c+b\,c\,x}\,\left(g\,b^3\,c^3\,x^3\,{\ln\left(F\right)}^3+f\,b^3\,c^3\,x^2\,{\ln\left(F\right)}^3+e\,b^3\,c^3\,x\,{\ln\left(F\right)}^3+d\,b^3\,c^3\,{\ln\left(F\right)}^3-3\,g\,b^2\,c^2\,x^2\,{\ln\left(F\right)}^2-2\,f\,b^2\,c^2\,x\,{\ln\left(F\right)}^2-e\,b^2\,c^2\,{\ln\left(F\right)}^2+6\,g\,b\,c\,x\,\ln\left(F\right)+2\,f\,b\,c\,\ln\left(F\right)-6\,g\right)}{b^4\,c^4\,{\ln\left(F\right)}^4}","Not used",1,"(F^(a*c + b*c*x)*(2*b*c*f*log(F) - 6*g + b^3*c^3*d*log(F)^3 - b^2*c^2*e*log(F)^2 + b^3*c^3*f*x^2*log(F)^3 - 3*b^2*c^2*g*x^2*log(F)^2 + b^3*c^3*g*x^3*log(F)^3 + 6*b*c*g*x*log(F) + b^3*c^3*e*x*log(F)^3 - 2*b^2*c^2*f*x*log(F)^2))/(b^4*c^4*log(F)^4)","B"
54,1,212,348,3.530765,"\text{Not used}","int(F^(c*(a + b*x))*(d + e*x + f*x^2 + g*x^3 + h*x^4),x)","\frac{F^{a\,c+b\,c\,x}\,\left(h\,b^4\,c^4\,x^4\,{\ln\left(F\right)}^4+g\,b^4\,c^4\,x^3\,{\ln\left(F\right)}^4+f\,b^4\,c^4\,x^2\,{\ln\left(F\right)}^4+e\,b^4\,c^4\,x\,{\ln\left(F\right)}^4+d\,b^4\,c^4\,{\ln\left(F\right)}^4-4\,h\,b^3\,c^3\,x^3\,{\ln\left(F\right)}^3-3\,g\,b^3\,c^3\,x^2\,{\ln\left(F\right)}^3-2\,f\,b^3\,c^3\,x\,{\ln\left(F\right)}^3-e\,b^3\,c^3\,{\ln\left(F\right)}^3+12\,h\,b^2\,c^2\,x^2\,{\ln\left(F\right)}^2+6\,g\,b^2\,c^2\,x\,{\ln\left(F\right)}^2+2\,f\,b^2\,c^2\,{\ln\left(F\right)}^2-24\,h\,b\,c\,x\,\ln\left(F\right)-6\,g\,b\,c\,\ln\left(F\right)+24\,h\right)}{b^5\,c^5\,{\ln\left(F\right)}^5}","Not used",1,"(F^(a*c + b*c*x)*(24*h - 6*b*c*g*log(F) + b^4*c^4*d*log(F)^4 - b^3*c^3*e*log(F)^3 + 2*b^2*c^2*f*log(F)^2 + b^4*c^4*f*x^2*log(F)^4 - 3*b^3*c^3*g*x^2*log(F)^3 + b^4*c^4*g*x^3*log(F)^4 + 12*b^2*c^2*h*x^2*log(F)^2 - 4*b^3*c^3*h*x^3*log(F)^3 + b^4*c^4*h*x^4*log(F)^4 - 24*b*c*h*x*log(F) + b^4*c^4*e*x*log(F)^4 - 2*b^3*c^3*f*x*log(F)^3 + 6*b^2*c^2*g*x*log(F)^2))/(b^5*c^5*log(F)^5)","B"
55,0,-1,116,0.000000,"\text{Not used}","int(x^m*exp(- a - b*x)*(a + b*x)^3,x)","\int x^m\,{\mathrm{e}}^{-a-b\,x}\,{\left(a+b\,x\right)}^3 \,d x","Not used",1,"int(x^m*exp(- a - b*x)*(a + b*x)^3, x)","F"
56,1,175,397,3.535334,"\text{Not used}","int(x^3*exp(- a - b*x)*(a + b*x)^3,x)","-x^4\,{\mathrm{e}}^{-a-b\,x}\,\left(3\,a^2+15\,a+30\right)-b^2\,x^6\,{\mathrm{e}}^{-a-b\,x}-\frac{6\,{\mathrm{e}}^{-a-b\,x}\,\left(a^3+12\,a^2+60\,a+120\right)}{b^4}-3\,b\,x^5\,{\mathrm{e}}^{-a-b\,x}\,\left(a+2\right)-\frac{6\,x\,{\mathrm{e}}^{-a-b\,x}\,\left(a^3+12\,a^2+60\,a+120\right)}{b^3}-\frac{x^3\,{\mathrm{e}}^{-a-b\,x}\,\left(a^3+12\,a^2+60\,a+120\right)}{b}-\frac{3\,x^2\,{\mathrm{e}}^{-a-b\,x}\,\left(a^3+12\,a^2+60\,a+120\right)}{b^2}","Not used",1,"- x^4*exp(- a - b*x)*(15*a + 3*a^2 + 30) - b^2*x^6*exp(- a - b*x) - (6*exp(- a - b*x)*(60*a + 12*a^2 + a^3 + 120))/b^4 - 3*b*x^5*exp(- a - b*x)*(a + 2) - (6*x*exp(- a - b*x)*(60*a + 12*a^2 + a^3 + 120))/b^3 - (x^3*exp(- a - b*x)*(60*a + 12*a^2 + a^3 + 120))/b - (3*x^2*exp(- a - b*x)*(60*a + 12*a^2 + a^3 + 120))/b^2","B"
57,1,126,318,3.523304,"\text{Not used}","int(x^2*exp(- a - b*x)*(a + b*x)^3,x)","-x^3\,{\mathrm{e}}^{-a-b\,x}\,\left(3\,a^2+3\,a\,b\,x+12\,a+b^2\,x^2+5\,b\,x+20\right)-\frac{2\,{\mathrm{e}}^{-a-b\,x}\,\left(a^3+9\,a^2+36\,a+60\right)}{b^3}-\frac{2\,x\,{\mathrm{e}}^{-a-b\,x}\,\left(a^3+9\,a^2+36\,a+60\right)}{b^2}-\frac{x^2\,{\mathrm{e}}^{-a-b\,x}\,\left(a^3+9\,a^2+36\,a+60\right)}{b}","Not used",1,"- x^3*exp(- a - b*x)*(12*a + 5*b*x + 3*a^2 + b^2*x^2 + 3*a*b*x + 20) - (2*exp(- a - b*x)*(36*a + 9*a^2 + a^3 + 60))/b^3 - (2*x*exp(- a - b*x)*(36*a + 9*a^2 + a^3 + 60))/b^2 - (x^2*exp(- a - b*x)*(36*a + 9*a^2 + a^3 + 60))/b","B"
58,1,117,184,3.429928,"\text{Not used}","int(x*exp(- a - b*x)*(a + b*x)^3,x)","-x^2\,{\mathrm{e}}^{-a-b\,x}\,\left(3\,a^2+9\,a+12\right)-b^2\,x^4\,{\mathrm{e}}^{-a-b\,x}-\frac{{\mathrm{e}}^{-a-b\,x}\,\left(a^3+6\,a^2+18\,a+24\right)}{b^2}-\frac{x\,{\mathrm{e}}^{-a-b\,x}\,\left(a^3+6\,a^2+18\,a+24\right)}{b}-b\,x^3\,{\mathrm{e}}^{-a-b\,x}\,\left(3\,a+4\right)","Not used",1,"- x^2*exp(- a - b*x)*(9*a + 3*a^2 + 12) - b^2*x^4*exp(- a - b*x) - (exp(- a - b*x)*(18*a + 6*a^2 + a^3 + 24))/b^2 - (x*exp(- a - b*x)*(18*a + 6*a^2 + a^3 + 24))/b - b*x^3*exp(- a - b*x)*(3*a + 4)","B"
59,1,66,80,0.108954,"\text{Not used}","int(exp(- a - b*x)*(a + b*x)^3,x)","-x\,{\mathrm{e}}^{-a-b\,x}\,\left(3\,a^2+3\,a\,b\,x+6\,a+b^2\,x^2+3\,b\,x+6\right)-\frac{{\mathrm{e}}^{-a-b\,x}\,\left(a^3+3\,a^2+6\,a+6\right)}{b}","Not used",1,"- x*exp(- a - b*x)*(6*a + 3*b*x + 3*a^2 + b^2*x^2 + 3*a*b*x + 6) - (exp(- a - b*x)*(6*a + 3*a^2 + a^3 + 6))/b","B"
60,1,69,102,3.557748,"\text{Not used}","int((exp(- a - b*x)*(a + b*x)^3)/x,x)","-{\mathrm{e}}^{-a-b\,x}\,\left(b^2\,x^2+2\,b\,x+2\right)-3\,a^2\,{\mathrm{e}}^{-a-b\,x}-3\,a\,{\mathrm{e}}^{-a-b\,x}\,\left(b\,x+1\right)-a^3\,{\mathrm{e}}^{-a}\,\mathrm{expint}\left(b\,x\right)","Not used",1,"- exp(- a - b*x)*(2*b*x + b^2*x^2 + 2) - 3*a^2*exp(- a - b*x) - 3*a*exp(- a - b*x)*(b*x + 1) - a^3*exp(-a)*expint(b*x)","B"
61,1,72,94,3.635325,"\text{Not used}","int((exp(- a - b*x)*(a + b*x)^3)/x^2,x)","a^3\,b\,{\mathrm{e}}^{-a}\,\left(\mathrm{expint}\left(b\,x\right)-\frac{{\mathrm{e}}^{-b\,x}}{b\,x}\right)-3\,a\,b\,{\mathrm{e}}^{-a-b\,x}-b\,{\mathrm{e}}^{-a-b\,x}\,\left(b\,x+1\right)-3\,a^2\,b\,{\mathrm{e}}^{-a}\,\mathrm{expint}\left(b\,x\right)","Not used",1,"a^3*b*exp(-a)*(expint(b*x) - exp(-b*x)/(b*x)) - 3*a*b*exp(- a - b*x) - b*exp(- a - b*x)*(b*x + 1) - 3*a^2*b*exp(-a)*expint(b*x)","B"
62,1,100,130,3.635791,"\text{Not used}","int((exp(- a - b*x)*(a + b*x)^3)/x^3,x)","3\,a^2\,b^2\,{\mathrm{e}}^{-a}\,\left(\mathrm{expint}\left(b\,x\right)-\frac{{\mathrm{e}}^{-b\,x}}{b\,x}\right)-3\,a\,b^2\,{\mathrm{e}}^{-a}\,\mathrm{expint}\left(b\,x\right)-b^2\,{\mathrm{e}}^{-a-b\,x}+a^3\,b^2\,{\mathrm{e}}^{-a}\,\left({\mathrm{e}}^{-b\,x}\,\left(\frac{1}{2\,b\,x}-\frac{1}{2\,b^2\,x^2}\right)-\frac{\mathrm{expint}\left(b\,x\right)}{2}\right)","Not used",1,"3*a^2*b^2*exp(-a)*(expint(b*x) - exp(-b*x)/(b*x)) - 3*a*b^2*exp(-a)*expint(b*x) - b^2*exp(- a - b*x) + a^3*b^2*exp(-a)*(exp(-b*x)*(1/(2*b*x) - 1/(2*b^2*x^2)) - expint(b*x)/2)","B"
63,1,142,198,3.565093,"\text{Not used}","int((exp(- a - b*x)*(a + b*x)^3)/x^4,x)","3\,a\,b^3\,{\mathrm{e}}^{-a}\,\left(\mathrm{expint}\left(b\,x\right)-\frac{{\mathrm{e}}^{-b\,x}}{b\,x}\right)-b^3\,{\mathrm{e}}^{-a}\,\mathrm{expint}\left(b\,x\right)+\frac{a^3\,b^3\,{\mathrm{e}}^{-a}\,\mathrm{expint}\left(b\,x\right)}{6}+3\,a^2\,b^3\,{\mathrm{e}}^{-a}\,\left({\mathrm{e}}^{-b\,x}\,\left(\frac{1}{2\,b\,x}-\frac{1}{2\,b^2\,x^2}\right)-\frac{\mathrm{expint}\left(b\,x\right)}{2}\right)-a^3\,b^3\,{\mathrm{e}}^{-a-b\,x}\,\left(\frac{1}{6\,b\,x}-\frac{1}{6\,b^2\,x^2}+\frac{1}{3\,b^3\,x^3}\right)","Not used",1,"3*a*b^3*exp(-a)*(expint(b*x) - exp(-b*x)/(b*x)) - b^3*exp(-a)*expint(b*x) + (a^3*b^3*exp(-a)*expint(b*x))/6 + 3*a^2*b^3*exp(-a)*(exp(-b*x)*(1/(2*b*x) - 1/(2*b^2*x^2)) - expint(b*x)/2) - a^3*b^3*exp(- a - b*x)*(1/(6*b*x) - 1/(6*b^2*x^2) + 1/(3*b^3*x^3))","B"
64,0,-1,139,0.000000,"\text{Not used}","int(F^(a + b*(c + d*x))*x^m*(e + f*x)^2,x)","\int F^{a+b\,\left(c+d\,x\right)}\,x^m\,{\left(e+f\,x\right)}^2 \,d x","Not used",1,"int(F^(a + b*(c + d*x))*x^m*(e + f*x)^2, x)","F"
65,1,249,414,3.645776,"\text{Not used}","int(F^(a + b*(c + d*x))*x^3*(e + f*x)^2,x)","\frac{F^{a+b\,c+b\,d\,x}\,\left(b^5\,d^5\,e^2\,x^3\,{\ln\left(F\right)}^5+2\,b^5\,d^5\,e\,f\,x^4\,{\ln\left(F\right)}^5+b^5\,d^5\,f^2\,x^5\,{\ln\left(F\right)}^5-3\,b^4\,d^4\,e^2\,x^2\,{\ln\left(F\right)}^4-8\,b^4\,d^4\,e\,f\,x^3\,{\ln\left(F\right)}^4-5\,b^4\,d^4\,f^2\,x^4\,{\ln\left(F\right)}^4+6\,b^3\,d^3\,e^2\,x\,{\ln\left(F\right)}^3+24\,b^3\,d^3\,e\,f\,x^2\,{\ln\left(F\right)}^3+20\,b^3\,d^3\,f^2\,x^3\,{\ln\left(F\right)}^3-6\,b^2\,d^2\,e^2\,{\ln\left(F\right)}^2-48\,b^2\,d^2\,e\,f\,x\,{\ln\left(F\right)}^2-60\,b^2\,d^2\,f^2\,x^2\,{\ln\left(F\right)}^2+48\,b\,d\,e\,f\,\ln\left(F\right)+120\,b\,d\,f^2\,x\,\ln\left(F\right)-120\,f^2\right)}{b^6\,d^6\,{\ln\left(F\right)}^6}","Not used",1,"(F^(a + b*c + b*d*x)*(120*b*d*f^2*x*log(F) - 6*b^2*d^2*e^2*log(F)^2 - 120*f^2 + 6*b^3*d^3*e^2*x*log(F)^3 - 3*b^4*d^4*e^2*x^2*log(F)^4 + b^5*d^5*e^2*x^3*log(F)^5 - 60*b^2*d^2*f^2*x^2*log(F)^2 + 20*b^3*d^3*f^2*x^3*log(F)^3 - 5*b^4*d^4*f^2*x^4*log(F)^4 + b^5*d^5*f^2*x^5*log(F)^5 + 48*b*d*e*f*log(F) - 48*b^2*d^2*e*f*x*log(F)^2 + 24*b^3*d^3*e*f*x^2*log(F)^3 - 8*b^4*d^4*e*f*x^3*log(F)^4 + 2*b^5*d^5*e*f*x^4*log(F)^5))/(b^6*d^6*log(F)^6)","B"
66,1,196,328,3.559466,"\text{Not used}","int(F^(a + b*(c + d*x))*x^2*(e + f*x)^2,x)","\frac{F^{a+b\,c+b\,d\,x}\,\left(b^4\,d^4\,e^2\,x^2\,{\ln\left(F\right)}^4+2\,b^4\,d^4\,e\,f\,x^3\,{\ln\left(F\right)}^4+b^4\,d^4\,f^2\,x^4\,{\ln\left(F\right)}^4-2\,b^3\,d^3\,e^2\,x\,{\ln\left(F\right)}^3-6\,b^3\,d^3\,e\,f\,x^2\,{\ln\left(F\right)}^3-4\,b^3\,d^3\,f^2\,x^3\,{\ln\left(F\right)}^3+2\,b^2\,d^2\,e^2\,{\ln\left(F\right)}^2+12\,b^2\,d^2\,e\,f\,x\,{\ln\left(F\right)}^2+12\,b^2\,d^2\,f^2\,x^2\,{\ln\left(F\right)}^2-12\,b\,d\,e\,f\,\ln\left(F\right)-24\,b\,d\,f^2\,x\,\ln\left(F\right)+24\,f^2\right)}{b^5\,d^5\,{\ln\left(F\right)}^5}","Not used",1,"(F^(a + b*c + b*d*x)*(24*f^2 + 2*b^2*d^2*e^2*log(F)^2 - 24*b*d*f^2*x*log(F) - 2*b^3*d^3*e^2*x*log(F)^3 + b^4*d^4*e^2*x^2*log(F)^4 + 12*b^2*d^2*f^2*x^2*log(F)^2 - 4*b^3*d^3*f^2*x^3*log(F)^3 + b^4*d^4*f^2*x^4*log(F)^4 - 12*b*d*e*f*log(F) + 12*b^2*d^2*e*f*x*log(F)^2 - 6*b^3*d^3*e*f*x^2*log(F)^3 + 2*b^4*d^4*e*f*x^3*log(F)^4))/(b^5*d^5*log(F)^5)","B"
67,1,143,242,3.518972,"\text{Not used}","int(F^(a + b*(c + d*x))*x*(e + f*x)^2,x)","\frac{F^{a+b\,c+b\,d\,x}\,\left(b^3\,d^3\,e^2\,x\,{\ln\left(F\right)}^3+2\,b^3\,d^3\,e\,f\,x^2\,{\ln\left(F\right)}^3+b^3\,d^3\,f^2\,x^3\,{\ln\left(F\right)}^3-b^2\,d^2\,e^2\,{\ln\left(F\right)}^2-4\,b^2\,d^2\,e\,f\,x\,{\ln\left(F\right)}^2-3\,b^2\,d^2\,f^2\,x^2\,{\ln\left(F\right)}^2+4\,b\,d\,e\,f\,\ln\left(F\right)+6\,b\,d\,f^2\,x\,\ln\left(F\right)-6\,f^2\right)}{b^4\,d^4\,{\ln\left(F\right)}^4}","Not used",1,"(F^(a + b*c + b*d*x)*(6*b*d*f^2*x*log(F) - b^2*d^2*e^2*log(F)^2 - 6*f^2 + b^3*d^3*e^2*x*log(F)^3 - 3*b^2*d^2*f^2*x^2*log(F)^2 + b^3*d^3*f^2*x^3*log(F)^3 + 4*b*d*e*f*log(F) - 4*b^2*d^2*e*f*x*log(F)^2 + 2*b^3*d^3*e*f*x^2*log(F)^3))/(b^4*d^4*log(F)^4)","B"
68,1,92,85,3.442638,"\text{Not used}","int(F^(a + b*(c + d*x))*(e + f*x)^2,x)","\frac{F^{a+b\,c+b\,d\,x}\,\left(b^2\,d^2\,e^2\,{\ln\left(F\right)}^2+2\,b^2\,d^2\,e\,f\,x\,{\ln\left(F\right)}^2+b^2\,d^2\,f^2\,x^2\,{\ln\left(F\right)}^2-2\,b\,d\,e\,f\,\ln\left(F\right)-2\,b\,d\,f^2\,x\,\ln\left(F\right)+2\,f^2\right)}{b^3\,d^3\,{\ln\left(F\right)}^3}","Not used",1,"(F^(a + b*c + b*d*x)*(2*f^2 + b^2*d^2*e^2*log(F)^2 - 2*b*d*f^2*x*log(F) + b^2*d^2*f^2*x^2*log(F)^2 - 2*b*d*e*f*log(F) + 2*b^2*d^2*e*f*x*log(F)^2))/(b^3*d^3*log(F)^3)","B"
69,1,80,96,3.583580,"\text{Not used}","int((F^(a + b*(c + d*x))*(e + f*x)^2)/x,x)","\frac{F^{a+b\,c}\,\left(b^2\,d^2\,e^2\,\mathrm{ei}\left(b\,d\,x\,\ln\left(F\right)\right)\,{\ln\left(F\right)}^2-F^{b\,d\,x}\,f^2+F^{b\,d\,x}\,b\,d\,f^2\,x\,\ln\left(F\right)+2\,F^{b\,d\,x}\,b\,d\,e\,f\,\ln\left(F\right)\right)}{b^2\,d^2\,{\ln\left(F\right)}^2}","Not used",1,"(F^(a + b*c)*(b^2*d^2*e^2*ei(b*d*x*log(F))*log(F)^2 - F^(b*d*x)*f^2 + F^(b*d*x)*b*d*f^2*x*log(F) + 2*F^(b*d*x)*b*d*e*f*log(F)))/(b^2*d^2*log(F)^2)","B"
70,1,89,85,3.587932,"\text{Not used}","int((F^(a + b*(c + d*x))*(e + f*x)^2)/x^2,x)","2\,F^{a+b\,c}\,e\,f\,\mathrm{ei}\left(b\,d\,x\,\ln\left(F\right)\right)-\frac{F^{b\,d\,x}\,F^{a+b\,c}\,e^2}{x}+\frac{F^{a+b\,c+b\,d\,x}\,f^2}{b\,d\,\ln\left(F\right)}-F^{a+b\,c}\,b\,d\,e^2\,\ln\left(F\right)\,\mathrm{expint}\left(-b\,d\,x\,\ln\left(F\right)\right)","Not used",1,"2*F^(a + b*c)*e*f*ei(b*d*x*log(F)) - (F^(b*d*x)*F^(a + b*c)*e^2)/x + (F^(a + b*c + b*d*x)*f^2)/(b*d*log(F)) - F^(a + b*c)*b*d*e^2*log(F)*expint(-b*d*x*log(F))","B"
71,1,133,136,3.601185,"\text{Not used}","int((F^(a + b*(c + d*x))*(e + f*x)^2)/x^3,x)","F^{a+b\,c}\,f^2\,\mathrm{ei}\left(b\,d\,x\,\ln\left(F\right)\right)-\frac{2\,F^{b\,d\,x}\,F^{a+b\,c}\,e\,f}{x}-F^{a+b\,c}\,b^2\,d^2\,e^2\,{\ln\left(F\right)}^2\,\left(\frac{\mathrm{expint}\left(-b\,d\,x\,\ln\left(F\right)\right)}{2}+F^{b\,d\,x}\,\left(\frac{1}{2\,b\,d\,x\,\ln\left(F\right)}+\frac{1}{2\,b^2\,d^2\,x^2\,{\ln\left(F\right)}^2}\right)\right)-2\,F^{a+b\,c}\,b\,d\,e\,f\,\ln\left(F\right)\,\mathrm{expint}\left(-b\,d\,x\,\ln\left(F\right)\right)","Not used",1,"F^(a + b*c)*f^2*ei(b*d*x*log(F)) - (2*F^(b*d*x)*F^(a + b*c)*e*f)/x - F^(a + b*c)*b^2*d^2*e^2*log(F)^2*(expint(-b*d*x*log(F))/2 + F^(b*d*x)*(1/(2*b*d*x*log(F)) + 1/(2*b^2*d^2*x^2*log(F)^2))) - 2*F^(a + b*c)*b*d*e*f*log(F)*expint(-b*d*x*log(F))","B"
72,1,202,217,3.660025,"\text{Not used}","int((F^(a + b*(c + d*x))*(e + f*x)^2)/x^4,x)","-\frac{F^{b\,d\,x}\,F^{a+b\,c}\,f^2}{x}-F^{a+b\,c}\,b^3\,d^3\,e^2\,{\ln\left(F\right)}^3\,\left(F^{b\,d\,x}\,\left(\frac{1}{6\,b\,d\,x\,\ln\left(F\right)}+\frac{1}{6\,b^2\,d^2\,x^2\,{\ln\left(F\right)}^2}+\frac{1}{3\,b^3\,d^3\,x^3\,{\ln\left(F\right)}^3}\right)+\frac{\mathrm{expint}\left(-b\,d\,x\,\ln\left(F\right)\right)}{6}\right)-F^{a+b\,c}\,b\,d\,f^2\,\ln\left(F\right)\,\mathrm{expint}\left(-b\,d\,x\,\ln\left(F\right)\right)-2\,F^{a+b\,c}\,b^2\,d^2\,e\,f\,{\ln\left(F\right)}^2\,\left(\frac{\mathrm{expint}\left(-b\,d\,x\,\ln\left(F\right)\right)}{2}+F^{b\,d\,x}\,\left(\frac{1}{2\,b\,d\,x\,\ln\left(F\right)}+\frac{1}{2\,b^2\,d^2\,x^2\,{\ln\left(F\right)}^2}\right)\right)","Not used",1,"- (F^(b*d*x)*F^(a + b*c)*f^2)/x - F^(a + b*c)*b^3*d^3*e^2*log(F)^3*(F^(b*d*x)*(1/(6*b*d*x*log(F)) + 1/(6*b^2*d^2*x^2*log(F)^2) + 1/(3*b^3*d^3*x^3*log(F)^3)) + expint(-b*d*x*log(F))/6) - F^(a + b*c)*b*d*f^2*log(F)*expint(-b*d*x*log(F)) - 2*F^(a + b*c)*b^2*d^2*e*f*log(F)^2*(expint(-b*d*x*log(F))/2 + F^(b*d*x)*(1/(2*b*d*x*log(F)) + 1/(2*b^2*d^2*x^2*log(F)^2)))","B"
73,1,258,321,3.679174,"\text{Not used}","int((F^(a + b*(c + d*x))*(e + f*x)^2)/x^5,x)","-F^{a+b\,c}\,b^2\,d^2\,f^2\,{\ln\left(F\right)}^2\,\left(\frac{\mathrm{expint}\left(-b\,d\,x\,\ln\left(F\right)\right)}{2}+F^{b\,d\,x}\,\left(\frac{1}{2\,b\,d\,x\,\ln\left(F\right)}+\frac{1}{2\,b^2\,d^2\,x^2\,{\ln\left(F\right)}^2}\right)\right)-F^{a+b\,c}\,b^4\,d^4\,e^2\,{\ln\left(F\right)}^4\,\left(F^{b\,d\,x}\,\left(\frac{1}{24\,b\,d\,x\,\ln\left(F\right)}+\frac{1}{24\,b^2\,d^2\,x^2\,{\ln\left(F\right)}^2}+\frac{1}{12\,b^3\,d^3\,x^3\,{\ln\left(F\right)}^3}+\frac{1}{4\,b^4\,d^4\,x^4\,{\ln\left(F\right)}^4}\right)+\frac{\mathrm{expint}\left(-b\,d\,x\,\ln\left(F\right)\right)}{24}\right)-2\,F^{a+b\,c}\,b^3\,d^3\,e\,f\,{\ln\left(F\right)}^3\,\left(F^{b\,d\,x}\,\left(\frac{1}{6\,b\,d\,x\,\ln\left(F\right)}+\frac{1}{6\,b^2\,d^2\,x^2\,{\ln\left(F\right)}^2}+\frac{1}{3\,b^3\,d^3\,x^3\,{\ln\left(F\right)}^3}\right)+\frac{\mathrm{expint}\left(-b\,d\,x\,\ln\left(F\right)\right)}{6}\right)","Not used",1,"- F^(a + b*c)*b^2*d^2*f^2*log(F)^2*(expint(-b*d*x*log(F))/2 + F^(b*d*x)*(1/(2*b*d*x*log(F)) + 1/(2*b^2*d^2*x^2*log(F)^2))) - F^(a + b*c)*b^4*d^4*e^2*log(F)^4*(F^(b*d*x)*(1/(24*b*d*x*log(F)) + 1/(24*b^2*d^2*x^2*log(F)^2) + 1/(12*b^3*d^3*x^3*log(F)^3) + 1/(4*b^4*d^4*x^4*log(F)^4)) + expint(-b*d*x*log(F))/24) - 2*F^(a + b*c)*b^3*d^3*e*f*log(F)^3*(F^(b*d*x)*(1/(6*b*d*x*log(F)) + 1/(6*b^2*d^2*x^2*log(F)^2) + 1/(3*b^3*d^3*x^3*log(F)^3)) + expint(-b*d*x*log(F))/6)","B"
74,1,803,754,3.819154,"\text{Not used}","int(exp(- a - b*x)*(a + b*x)^4*(c + d*x)^3,x)","-x^3\,{\mathrm{e}}^{-a-b\,x}\,\left(b^2\,\left(4\,a\,c^3+4\,c^3\right)+360\,c\,d^2+\frac{a^4\,d^3+16\,a^3\,d^3+120\,a^2\,d^3+480\,a\,d^3+840\,d^3}{b}+b\,\left(18\,d\,a^2\,c^2+48\,d\,a\,c^2+60\,d\,c^2\right)+72\,a^2\,c\,d^2+12\,a^3\,c\,d^2+240\,a\,c\,d^2\right)-x^4\,{\mathrm{e}}^{-a-b\,x}\,\left(4\,a^3\,d^3+18\,a^2\,b\,c\,d^2+30\,a^2\,d^3+12\,a\,b^2\,c^2\,d+60\,a\,b\,c\,d^2+120\,a\,d^3+b^3\,c^3+15\,b^2\,c^2\,d+90\,b\,c\,d^2+210\,d^3\right)-\frac{{\mathrm{e}}^{-a-b\,x}\,\left(a^4\,b^3\,c^3+3\,a^4\,b^2\,c^2\,d+6\,a^4\,b\,c\,d^2+6\,a^4\,d^3+4\,a^3\,b^3\,c^3+24\,a^3\,b^2\,c^2\,d+72\,a^3\,b\,c\,d^2+96\,a^3\,d^3+12\,a^2\,b^3\,c^3+108\,a^2\,b^2\,c^2\,d+432\,a^2\,b\,c\,d^2+720\,a^2\,d^3+24\,a\,b^3\,c^3+288\,a\,b^2\,c^2\,d+1440\,a\,b\,c\,d^2+2880\,a\,d^3+24\,b^3\,c^3+360\,b^2\,c^2\,d+2160\,b\,c\,d^2+5040\,d^3\right)}{b^4}-x\,{\mathrm{e}}^{-a-b\,x}\,\left(4\,c^3\,\left(a^3+3\,a^2+6\,a+6\right)+\frac{6\,d^3\,\left(a^4+16\,a^3+120\,a^2+480\,a+840\right)}{b^3}+\frac{3\,c^2\,d\,\left(a^4+8\,a^3+36\,a^2+96\,a+120\right)}{b}+\frac{6\,c\,d^2\,\left(a^4+12\,a^3+72\,a^2+240\,a+360\right)}{b^2}\right)-\frac{3\,x^2\,{\mathrm{e}}^{-a-b\,x}\,\left(a^4\,b\,c\,d^2+a^4\,d^3+4\,a^3\,b^2\,c^2\,d+12\,a^3\,b\,c\,d^2+16\,a^3\,d^3+2\,a^2\,b^3\,c^3+18\,a^2\,b^2\,c^2\,d+72\,a^2\,b\,c\,d^2+120\,a^2\,d^3+4\,a\,b^3\,c^3+48\,a\,b^2\,c^2\,d+240\,a\,b\,c\,d^2+480\,a\,d^3+4\,b^3\,c^3+60\,b^2\,c^2\,d+360\,b\,c\,d^2+840\,d^3\right)}{b^2}-b^3\,d^3\,x^7\,{\mathrm{e}}^{-a-b\,x}-b^2\,d^2\,x^6\,{\mathrm{e}}^{-a-b\,x}\,\left(7\,d+4\,a\,d+3\,b\,c\right)-3\,b\,d\,x^5\,{\mathrm{e}}^{-a-b\,x}\,\left(2\,a^2\,d^2+4\,a\,b\,c\,d+8\,a\,d^2+b^2\,c^2+6\,b\,c\,d+14\,d^2\right)","Not used",1,"- x^3*exp(- a - b*x)*(b^2*(4*a*c^3 + 4*c^3) + 360*c*d^2 + (480*a*d^3 + 840*d^3 + 120*a^2*d^3 + 16*a^3*d^3 + a^4*d^3)/b + b*(60*c^2*d + 18*a^2*c^2*d + 48*a*c^2*d) + 72*a^2*c*d^2 + 12*a^3*c*d^2 + 240*a*c*d^2) - x^4*exp(- a - b*x)*(120*a*d^3 + 210*d^3 + 30*a^2*d^3 + 4*a^3*d^3 + b^3*c^3 + 15*b^2*c^2*d + 90*b*c*d^2 + 60*a*b*c*d^2 + 12*a*b^2*c^2*d + 18*a^2*b*c*d^2) - (exp(- a - b*x)*(2880*a*d^3 + 5040*d^3 + 720*a^2*d^3 + 96*a^3*d^3 + 24*b^3*c^3 + 6*a^4*d^3 + 24*a*b^3*c^3 + 360*b^2*c^2*d + 12*a^2*b^3*c^3 + 4*a^3*b^3*c^3 + a^4*b^3*c^3 + 2160*b*c*d^2 + 108*a^2*b^2*c^2*d + 24*a^3*b^2*c^2*d + 3*a^4*b^2*c^2*d + 1440*a*b*c*d^2 + 288*a*b^2*c^2*d + 432*a^2*b*c*d^2 + 72*a^3*b*c*d^2 + 6*a^4*b*c*d^2))/b^4 - x*exp(- a - b*x)*(4*c^3*(6*a + 3*a^2 + a^3 + 6) + (6*d^3*(480*a + 120*a^2 + 16*a^3 + a^4 + 840))/b^3 + (3*c^2*d*(96*a + 36*a^2 + 8*a^3 + a^4 + 120))/b + (6*c*d^2*(240*a + 72*a^2 + 12*a^3 + a^4 + 360))/b^2) - (3*x^2*exp(- a - b*x)*(480*a*d^3 + 840*d^3 + 120*a^2*d^3 + 16*a^3*d^3 + 4*b^3*c^3 + a^4*d^3 + 4*a*b^3*c^3 + 60*b^2*c^2*d + 2*a^2*b^3*c^3 + 360*b*c*d^2 + 18*a^2*b^2*c^2*d + 4*a^3*b^2*c^2*d + 240*a*b*c*d^2 + 48*a*b^2*c^2*d + 72*a^2*b*c*d^2 + 12*a^3*b*c*d^2 + a^4*b*c*d^2))/b^2 - b^3*d^3*x^7*exp(- a - b*x) - b^2*d^2*x^6*exp(- a - b*x)*(7*d + 4*a*d + 3*b*c) - 3*b*d*x^5*exp(- a - b*x)*(8*a*d^2 + 14*d^2 + 2*a^2*d^2 + b^2*c^2 + 6*b*c*d + 4*a*b*c*d)","B"
75,1,537,495,3.662872,"\text{Not used}","int(exp(- a - b*x)*(a + b*x)^4*(c + d*x)^2,x)","-x^2\,{\mathrm{e}}^{-a-b\,x}\,\left(120\,c\,d+b\,\left(6\,a^2\,c^2+12\,a\,c^2+12\,c^2\right)+\frac{a^4\,d^2+12\,a^3\,d^2+72\,a^2\,d^2+240\,a\,d^2+360\,d^2}{b}+96\,a\,c\,d+36\,a^2\,c\,d+8\,a^3\,c\,d\right)-x^3\,{\mathrm{e}}^{-a-b\,x}\,\left(4\,a^3\,d^2+12\,a^2\,b\,c\,d+24\,a^2\,d^2+4\,a\,b^2\,c^2+32\,a\,b\,c\,d+80\,a\,d^2+4\,b^2\,c^2+40\,b\,c\,d+120\,d^2\right)-\frac{{\mathrm{e}}^{-a-b\,x}\,\left(a^4\,b^2\,c^2+2\,a^4\,b\,c\,d+2\,a^4\,d^2+4\,a^3\,b^2\,c^2+16\,a^3\,b\,c\,d+24\,a^3\,d^2+12\,a^2\,b^2\,c^2+72\,a^2\,b\,c\,d+144\,a^2\,d^2+24\,a\,b^2\,c^2+192\,a\,b\,c\,d+480\,a\,d^2+24\,b^2\,c^2+240\,b\,c\,d+720\,d^2\right)}{b^3}-b^3\,d^2\,x^6\,{\mathrm{e}}^{-a-b\,x}-b\,x^4\,{\mathrm{e}}^{-a-b\,x}\,\left(6\,a^2\,d^2+8\,a\,b\,c\,d+20\,a\,d^2+b^2\,c^2+10\,b\,c\,d+30\,d^2\right)-\frac{2\,x\,{\mathrm{e}}^{-a-b\,x}\,\left(a^4\,b\,c\,d+a^4\,d^2+2\,a^3\,b^2\,c^2+8\,a^3\,b\,c\,d+12\,a^3\,d^2+6\,a^2\,b^2\,c^2+36\,a^2\,b\,c\,d+72\,a^2\,d^2+12\,a\,b^2\,c^2+96\,a\,b\,c\,d+240\,a\,d^2+12\,b^2\,c^2+120\,b\,c\,d+360\,d^2\right)}{b^2}-2\,b^2\,d\,x^5\,{\mathrm{e}}^{-a-b\,x}\,\left(3\,d+2\,a\,d+b\,c\right)","Not used",1,"- x^2*exp(- a - b*x)*(120*c*d + b*(12*a*c^2 + 12*c^2 + 6*a^2*c^2) + (240*a*d^2 + 360*d^2 + 72*a^2*d^2 + 12*a^3*d^2 + a^4*d^2)/b + 96*a*c*d + 36*a^2*c*d + 8*a^3*c*d) - x^3*exp(- a - b*x)*(80*a*d^2 + 120*d^2 + 24*a^2*d^2 + 4*b^2*c^2 + 4*a^3*d^2 + 4*a*b^2*c^2 + 40*b*c*d + 12*a^2*b*c*d + 32*a*b*c*d) - (exp(- a - b*x)*(480*a*d^2 + 720*d^2 + 144*a^2*d^2 + 24*b^2*c^2 + 24*a^3*d^2 + 2*a^4*d^2 + 24*a*b^2*c^2 + 240*b*c*d + 12*a^2*b^2*c^2 + 4*a^3*b^2*c^2 + a^4*b^2*c^2 + 72*a^2*b*c*d + 16*a^3*b*c*d + 2*a^4*b*c*d + 192*a*b*c*d))/b^3 - b^3*d^2*x^6*exp(- a - b*x) - b*x^4*exp(- a - b*x)*(20*a*d^2 + 30*d^2 + 6*a^2*d^2 + b^2*c^2 + 10*b*c*d + 8*a*b*c*d) - (2*x*exp(- a - b*x)*(240*a*d^2 + 360*d^2 + 72*a^2*d^2 + 12*b^2*c^2 + 12*a^3*d^2 + a^4*d^2 + 12*a*b^2*c^2 + 120*b*c*d + 6*a^2*b^2*c^2 + 2*a^3*b^2*c^2 + 36*a^2*b*c*d + 8*a^3*b*c*d + a^4*b*c*d + 96*a*b*c*d))/b^2 - 2*b^2*d*x^5*exp(- a - b*x)*(3*d + 2*a*d + b*c)","B"
76,1,264,271,0.178264,"\text{Not used}","int(exp(- a - b*x)*(a + b*x)^4*(c + d*x),x)","-\frac{{\mathrm{e}}^{-a-b\,x}\,\left(120\,d+96\,a\,d+24\,b\,c+36\,a^2\,d+8\,a^3\,d+a^4\,d+24\,a\,b\,c+12\,a^2\,b\,c+4\,a^3\,b\,c+a^4\,b\,c\right)}{b^2}-x^2\,{\mathrm{e}}^{-a-b\,x}\,\left(60\,d+48\,a\,d+12\,b\,c+18\,a^2\,d+4\,a^3\,d+12\,a\,b\,c+6\,a^2\,b\,c\right)-x\,{\mathrm{e}}^{-a-b\,x}\,\left(24\,c+24\,a\,c+12\,a^2\,c+4\,a^3\,c+\frac{d\,a^4+8\,d\,a^3+36\,d\,a^2+96\,d\,a+120\,d}{b}\right)-b^3\,d\,x^5\,{\mathrm{e}}^{-a-b\,x}-b^2\,x^4\,{\mathrm{e}}^{-a-b\,x}\,\left(5\,d+4\,a\,d+b\,c\right)-2\,b\,x^3\,{\mathrm{e}}^{-a-b\,x}\,\left(10\,d+8\,a\,d+2\,b\,c+3\,a^2\,d+2\,a\,b\,c\right)","Not used",1,"- (exp(- a - b*x)*(120*d + 96*a*d + 24*b*c + 36*a^2*d + 8*a^3*d + a^4*d + 24*a*b*c + 12*a^2*b*c + 4*a^3*b*c + a^4*b*c))/b^2 - x^2*exp(- a - b*x)*(60*d + 48*a*d + 12*b*c + 18*a^2*d + 4*a^3*d + 12*a*b*c + 6*a^2*b*c) - x*exp(- a - b*x)*(24*c + 24*a*c + 12*a^2*c + 4*a^3*c + (120*d + 96*a*d + 36*a^2*d + 8*a^3*d + a^4*d)/b) - b^3*d*x^5*exp(- a - b*x) - b^2*x^4*exp(- a - b*x)*(5*d + 4*a*d + b*c) - 2*b*x^3*exp(- a - b*x)*(10*d + 8*a*d + 2*b*c + 3*a^2*d + 2*a*b*c)","B"
77,1,120,102,0.109684,"\text{Not used}","int(exp(- a - b*x)*(a + b*x)^4,x)","-b^3\,x^4\,{\mathrm{e}}^{-a-b\,x}-x\,{\mathrm{e}}^{-a-b\,x}\,\left(4\,a^3+12\,a^2+24\,a+24\right)-\frac{{\mathrm{e}}^{-a-b\,x}\,\left(a^4+4\,a^3+12\,a^2+24\,a+24\right)}{b}-6\,b\,x^2\,{\mathrm{e}}^{-a-b\,x}\,\left(a^2+2\,a+2\right)-4\,b^2\,x^3\,{\mathrm{e}}^{-a-b\,x}\,\left(a+1\right)","Not used",1,"- b^3*x^4*exp(- a - b*x) - x*exp(- a - b*x)*(24*a + 12*a^2 + 4*a^3 + 24) - (exp(- a - b*x)*(24*a + 12*a^2 + 4*a^3 + a^4 + 24))/b - 6*b*x^2*exp(- a - b*x)*(2*a + a^2 + 2) - 4*b^2*x^3*exp(- a - b*x)*(a + 1)","B"
78,0,-1,277,0.000000,"\text{Not used}","int((exp(- a - b*x)*(a + b*x)^4)/(c + d*x),x)","\int \frac{{\mathrm{e}}^{-a-b\,x}\,{\left(a+b\,x\right)}^4}{c+d\,x} \,d x","Not used",1,"int((exp(- a - b*x)*(a + b*x)^4)/(c + d*x), x)","F"
79,0,-1,258,0.000000,"\text{Not used}","int((exp(- a - b*x)*(a + b*x)^4)/(c + d*x)^2,x)","\int \frac{{\mathrm{e}}^{-a-b\,x}\,{\left(a+b\,x\right)}^4}{{\left(c+d\,x\right)}^2} \,d x","Not used",1,"int((exp(- a - b*x)*(a + b*x)^4)/(c + d*x)^2, x)","F"
80,0,-1,294,0.000000,"\text{Not used}","int((exp(- a - b*x)*(a + b*x)^4)/(c + d*x)^3,x)","\int \frac{{\mathrm{e}}^{-a-b\,x}\,{\left(a+b\,x\right)}^4}{{\left(c+d\,x\right)}^3} \,d x","Not used",1,"int((exp(- a - b*x)*(a + b*x)^4)/(c + d*x)^3, x)","F"
81,0,-1,396,0.000000,"\text{Not used}","int((exp(- a - b*x)*(a + b*x)^4)/(c + d*x)^4,x)","\int \frac{{\mathrm{e}}^{-a-b\,x}\,{\left(a+b\,x\right)}^4}{{\left(c+d\,x\right)}^4} \,d x","Not used",1,"int((exp(- a - b*x)*(a + b*x)^4)/(c + d*x)^4, x)","F"
82,0,-1,557,0.000000,"\text{Not used}","int((exp(- a - b*x)*(a + b*x)^4)/(c + d*x)^5,x)","\int \frac{{\mathrm{e}}^{-a-b\,x}\,{\left(a+b\,x\right)}^4}{{\left(c+d\,x\right)}^5} \,d x","Not used",1,"int((exp(- a - b*x)*(a + b*x)^4)/(c + d*x)^5, x)","F"
83,1,25,24,3.588780,"\text{Not used}","int(F^(c*(a + b*x))*x^m*log(d*x)^n*(e + e*n + e*log(d*x)*(m + b*c*x*log(F) + 1)),x)","F^{a\,c+b\,c\,x}\,e\,x^{m+1}\,{\ln\left(d\,x\right)}^{n+1}","Not used",1,"F^(a*c + b*c*x)*e*x^(m + 1)*log(d*x)^(n + 1)","B"
84,1,23,22,3.498915,"\text{Not used}","int(F^(c*(a + b*x))*x^2*log(d*x)^n*(e + e*n + e*log(d*x)*(b*c*x*log(F) + 3)),x)","F^{a\,c+b\,c\,x}\,e\,x^3\,{\ln\left(d\,x\right)}^{n+1}","Not used",1,"F^(a*c + b*c*x)*e*x^3*log(d*x)^(n + 1)","B"
85,1,23,22,3.391999,"\text{Not used}","int(F^(c*(a + b*x))*x*log(d*x)^n*(e + e*n + e*log(d*x)*(b*c*x*log(F) + 2)),x)","F^{a\,c+b\,c\,x}\,e\,x^2\,{\ln\left(d\,x\right)}^{n+1}","Not used",1,"F^(a*c + b*c*x)*e*x^2*log(d*x)^(n + 1)","B"
86,1,21,20,3.479493,"\text{Not used}","int(F^(c*(a + b*x))*log(d*x)^n*(e + e*n + e*log(d*x)*(b*c*x*log(F) + 1)),x)","F^{a\,c+b\,c\,x}\,e\,x\,{\ln\left(d\,x\right)}^{n+1}","Not used",1,"F^(a*c + b*c*x)*e*x*log(d*x)^(n + 1)","B"
87,1,20,19,3.515695,"\text{Not used}","int((F^(c*(a + b*x))*log(d*x)^n*(e + e*n + b*c*e*x*log(d*x)*log(F)))/x,x)","F^{a\,c+b\,c\,x}\,e\,{\ln\left(d\,x\right)}^{n+1}","Not used",1,"F^(a*c + b*c*x)*e*log(d*x)^(n + 1)","B"
88,1,23,22,3.571432,"\text{Not used}","int((F^(c*(a + b*x))*log(d*x)^n*(e + e*n + e*log(d*x)*(b*c*x*log(F) - 1)))/x^2,x)","\frac{F^{a\,c+b\,c\,x}\,e\,{\ln\left(d\,x\right)}^{n+1}}{x}","Not used",1,"(F^(a*c + b*c*x)*e*log(d*x)^(n + 1))/x","B"
89,1,23,22,3.582770,"\text{Not used}","int((F^(c*(a + b*x))*log(d*x)^n*(e + e*n + e*log(d*x)*(b*c*x*log(F) - 2)))/x^3,x)","\frac{F^{a\,c+b\,c\,x}\,e\,{\ln\left(d\,x\right)}^{n+1}}{x^2}","Not used",1,"(F^(a*c + b*c*x)*e*log(d*x)^(n + 1))/x^2","B"
90,1,45,91,0.130471,"\text{Not used}","int(x^4*exp(a + b*x)^(1/2),x)","\sqrt{{\mathrm{e}}^{a+b\,x}}\,\left(\frac{768}{b^5}-\frac{384\,x}{b^4}+\frac{2\,x^4}{b}-\frac{16\,x^3}{b^2}+\frac{96\,x^2}{b^3}\right)","Not used",1,"exp(a + b*x)^(1/2)*(768/b^5 - (384*x)/b^4 + (2*x^4)/b - (16*x^3)/b^2 + (96*x^2)/b^3)","B"
91,1,37,72,0.054768,"\text{Not used}","int(x^3*exp(a + b*x)^(1/2),x)","\sqrt{{\mathrm{e}}^{a+b\,x}}\,\left(\frac{48\,x}{b^3}-\frac{96}{b^4}+\frac{2\,x^3}{b}-\frac{12\,x^2}{b^2}\right)","Not used",1,"exp(a + b*x)^(1/2)*((48*x)/b^3 - 96/b^4 + (2*x^3)/b - (12*x^2)/b^2)","B"
92,1,29,53,0.057979,"\text{Not used}","int(x^2*exp(a + b*x)^(1/2),x)","\sqrt{{\mathrm{e}}^{a+b\,x}}\,\left(\frac{16}{b^3}-\frac{8\,x}{b^2}+\frac{2\,x^2}{b}\right)","Not used",1,"exp(a + b*x)^(1/2)*(16/b^3 - (8*x)/b^2 + (2*x^2)/b)","B"
93,1,18,34,0.044545,"\text{Not used}","int(x*exp(a + b*x)^(1/2),x)","\frac{2\,\sqrt{{\mathrm{e}}^{a+b\,x}}\,\left(b\,x-2\right)}{b^2}","Not used",1,"(2*exp(a + b*x)^(1/2)*(b*x - 2))/b^2","B"
94,1,13,16,3.388209,"\text{Not used}","int(exp(a + b*x)^(1/2),x)","\frac{2\,\sqrt{{\mathrm{e}}^{a+b\,x}}}{b}","Not used",1,"(2*exp(a + b*x)^(1/2))/b","B"
95,0,-1,27,0.000000,"\text{Not used}","int(exp(a + b*x)^(1/2)/x,x)","\int \frac{\sqrt{{\mathrm{e}}^{a+b\,x}}}{x} \,d x","Not used",1,"int(exp(a + b*x)^(1/2)/x, x)","F"
96,0,-1,48,0.000000,"\text{Not used}","int(exp(a + b*x)^(1/2)/x^2,x)","\int \frac{\sqrt{{\mathrm{e}}^{a+b\,x}}}{x^2} \,d x","Not used",1,"int(exp(a + b*x)^(1/2)/x^2, x)","F"
97,0,-1,71,0.000000,"\text{Not used}","int(exp(a + b*x)^(1/2)/x^3,x)","\int \frac{\sqrt{{\mathrm{e}}^{a+b\,x}}}{x^3} \,d x","Not used",1,"int(exp(a + b*x)^(1/2)/x^3, x)","F"
98,0,-1,92,0.000000,"\text{Not used}","int(exp(a + b*x)^(1/2)/x^4,x)","\int \frac{\sqrt{{\mathrm{e}}^{a+b\,x}}}{x^4} \,d x","Not used",1,"int(exp(a + b*x)^(1/2)/x^4, x)","F"