1,0,0,67,0.075000," ","int(F^(c*(b*x+a))*(e*x+d)^m,x)","\int F^{\left(b x +a \right) c} \left(e x +d \right)^{m}\, dx"," ",0,"int(F^(c*(b*x+a))*(e*x+d)^m,x)","F"
2,1,260,141,0.012000," ","int(F^((b*x+a)*c)*(e*x+d)^4,x)","\frac{\left(b^{4} c^{4} e^{4} x^{4} \ln \left(F \right)^{4}+4 b^{4} c^{4} d \,e^{3} x^{3} \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^{3} e x \ln \left(F \right)^{4}+b^{4} c^{4} d^{4} \ln \left(F \right)^{4}-4 b^{3} c^{3} e^{4} x^{3} \ln \left(F \right)^{3}-12 b^{3} c^{3} d \,e^{3} x^{2} \ln \left(F \right)^{3}-12 b^{3} c^{3} d^{2} e^{2} x \ln \left(F \right)^{3}-4 b^{3} c^{3} d^{3} e \ln \left(F \right)^{3}+12 b^{2} c^{2} e^{4} x^{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} d^{2} e^{2} \ln \left(F \right)^{2}-24 b c \,e^{4} x \ln \left(F \right)-24 b c d \,e^{3} \ln \left(F \right)+24 e^{4}\right) F^{\left(b x +a \right) c}}{b^{5} c^{5} \ln \left(F \right)^{5}}"," ",0,"(e^4*x^4*b^4*c^4*ln(F)^4+4*ln(F)^4*b^4*c^4*d*e^3*x^3+6*ln(F)^4*b^4*c^4*d^2*e^2*x^2+4*ln(F)^4*b^4*c^4*d^3*e*x+ln(F)^4*b^4*c^4*d^4-4*ln(F)^3*b^3*c^3*e^4*x^3-12*ln(F)^3*b^3*c^3*d*e^3*x^2-12*ln(F)^3*b^3*c^3*d^2*e^2*x-4*ln(F)^3*b^3*c^3*d^3*e+12*ln(F)^2*b^2*c^2*e^4*x^2+24*ln(F)^2*b^2*c^2*d*e^3*x+12*b^2*c^2*ln(F)^2*d^2*e^2-24*ln(F)*b*c*e^4*x-24*d*e^3*b*c*ln(F)+24*e^4)*F^((b*x+a)*c)/b^5/c^5/ln(F)^5","A"
3,1,165,110,0.008000," ","int(F^((b*x+a)*c)*(e*x+d)^3,x)","\frac{\left(b^{3} c^{3} e^{3} x^{3} \ln \left(F \right)^{3}+3 b^{3} c^{3} d \,e^{2} x^{2} \ln \left(F \right)^{3}+3 b^{3} c^{3} d^{2} e x \ln \left(F \right)^{3}+b^{3} c^{3} d^{3} \ln \left(F \right)^{3}-3 b^{2} c^{2} e^{3} x^{2} \ln \left(F \right)^{2}-6 b^{2} c^{2} d \,e^{2} x \ln \left(F \right)^{2}-3 b^{2} c^{2} d^{2} e \ln \left(F \right)^{2}+6 b c \,e^{3} x \ln \left(F \right)+6 b c d \,e^{2} \ln \left(F \right)-6 e^{3}\right) F^{\left(b x +a \right) c}}{b^{4} c^{4} \ln \left(F \right)^{4}}"," ",0,"(e^3*x^3*b^3*c^3*ln(F)^3+3*ln(F)^3*b^3*c^3*d*e^2*x^2+3*ln(F)^3*b^3*c^3*d^2*e*x+b^3*c^3*ln(F)^3*d^3-3*ln(F)^2*b^2*c^2*e^3*x^2-6*ln(F)^2*b^2*c^2*d*e^2*x-3*b^2*c^2*ln(F)^2*e*d^2+6*ln(F)*b*c*e^3*x+6*d*e^2*b*c*ln(F)-6*e^3)*F^((b*x+a)*c)/b^4/c^4/ln(F)^4","A"
4,1,91,79,0.007000," ","int(F^((b*x+a)*c)*(e*x+d)^2,x)","\frac{\left(b^{2} c^{2} e^{2} x^{2} \ln \left(F \right)^{2}+2 b^{2} c^{2} d e x \ln \left(F \right)^{2}+b^{2} c^{2} d^{2} \ln \left(F \right)^{2}-2 b c \,e^{2} x \ln \left(F \right)-2 b c d e \ln \left(F \right)+2 e^{2}\right) F^{\left(b x +a \right) c}}{b^{3} c^{3} \ln \left(F \right)^{3}}"," ",0,"(e^2*x^2*b^2*c^2*ln(F)^2+2*ln(F)^2*b^2*c^2*d*e*x+b^2*c^2*ln(F)^2*d^2-2*ln(F)*b*c*e^2*x-2*ln(F)*b*c*e*d+2*e^2)*F^((b*x+a)*c)/b^3/c^3/ln(F)^3","A"
5,1,38,48,0.006000," ","int(F^((b*x+a)*c)*(e*x+d),x)","\frac{\left(b c e x \ln \left(F \right)+b c d \ln \left(F \right)-e \right) F^{\left(b x +a \right) c}}{b^{2} c^{2} \ln \left(F \right)^{2}}"," ",0,"(ln(F)*b*c*e*x+ln(F)*b*c*d-e)*F^((b*x+a)*c)/b^2/c^2/ln(F)^2","A"
6,1,21,20,0.003000," ","int(F^((b*x+a)*c),x)","\frac{F^{\left(b x +a \right) c}}{b c \ln \left(F \right)}"," ",0,"F^((b*x+a)*c)/b/c/ln(F)","A"
7,1,56,31,0.050000," ","int(F^((b*x+a)*c)/(e*x+d),x)","-\frac{F^{\frac{\left(a e -b d \right) c}{e}} \Ei \left(1, -b c x \ln \left(F \right)-a c \ln \left(F \right)-\frac{-a c e \ln \left(F \right)+b c d \ln \left(F \right)}{e}\right)}{e}"," ",0,"-1/e*F^(c*(a*e-b*d)/e)*Ei(1,-b*c*x*ln(F)-a*c*ln(F)-(-ln(F)*a*c*e+b*c*d*ln(F))/e)","A"
8,1,99,57,0.053000," ","int(F^((b*x+a)*c)/(e*x+d)^2,x)","-\frac{b c \,F^{a c} F^{b c x} \ln \left(F \right)}{\left(b c x \ln \left(F \right)+\frac{b c d \ln \left(F \right)}{e}\right) e^{2}}-\frac{b c \,F^{\frac{\left(a e -b d \right) c}{e}} \Ei \left(1, -b c x \ln \left(F \right)-a c \ln \left(F \right)-\frac{-a c e \ln \left(F \right)+b c d \ln \left(F \right)}{e}\right) \ln \left(F \right)}{e^{2}}"," ",0,"-b*c*ln(F)/e^2*F^(b*c*x)*F^(a*c)/(b*c*x*ln(F)+1/e*ln(F)*b*c*d)-b*c*ln(F)/e^2*F^((a*e-b*d)*c/e)*Ei(1,-b*c*x*ln(F)-a*c*ln(F)-(-a*c*e*ln(F)+b*c*d*ln(F))/e)","A"
9,1,155,89,0.060000," ","int(F^((b*x+a)*c)/(e*x+d)^3,x)","-\frac{b^{2} c^{2} F^{a c} F^{b c x} \ln \left(F \right)^{2}}{2 \left(b c x \ln \left(F \right)+\frac{b c d \ln \left(F \right)}{e}\right)^{2} e^{3}}-\frac{b^{2} c^{2} F^{a c} F^{b c x} \ln \left(F \right)^{2}}{2 \left(b c x \ln \left(F \right)+\frac{b c d \ln \left(F \right)}{e}\right) e^{3}}-\frac{b^{2} c^{2} F^{\frac{\left(a e -b d \right) c}{e}} \Ei \left(1, -b c x \ln \left(F \right)-a c \ln \left(F \right)-\frac{-a c e \ln \left(F \right)+b c d \ln \left(F \right)}{e}\right) \ln \left(F \right)^{2}}{2 e^{3}}"," ",0,"-1/2*b^2*c^2*ln(F)^2/e^3*F^(b*c*x)*F^(a*c)/(b*c*x*ln(F)+b*c*d/e*ln(F))^2-1/2*b^2*c^2*ln(F)^2/e^3*F^(b*c*x)*F^(a*c)/(b*c*x*ln(F)+b*c*d/e*ln(F))-1/2*b^2*c^2*ln(F)^2/e^3*F^((a*e-b*d)*c/e)*Ei(1,-b*c*x*ln(F)-a*c*ln(F)-(-a*c*e*ln(F)+b*c*d*ln(F))/e)","A"
10,1,199,120,0.066000," ","int(F^((b*x+a)*c)/(e*x+d)^4,x)","-\frac{b^{3} c^{3} F^{a c} F^{b c x} \ln \left(F \right)^{3}}{3 \left(b c x \ln \left(F \right)+\frac{b c d \ln \left(F \right)}{e}\right)^{3} e^{4}}-\frac{b^{3} c^{3} F^{a c} F^{b c x} \ln \left(F \right)^{3}}{6 \left(b c x \ln \left(F \right)+\frac{b c d \ln \left(F \right)}{e}\right)^{2} e^{4}}-\frac{b^{3} c^{3} F^{a c} F^{b c x} \ln \left(F \right)^{3}}{6 \left(b c x \ln \left(F \right)+\frac{b c d \ln \left(F \right)}{e}\right) e^{4}}-\frac{b^{3} c^{3} F^{\frac{\left(a e -b d \right) c}{e}} \Ei \left(1, -b c x \ln \left(F \right)-a c \ln \left(F \right)-\frac{-a c e \ln \left(F \right)+b c d \ln \left(F \right)}{e}\right) \ln \left(F \right)^{3}}{6 e^{4}}"," ",0,"-1/3*b^3*c^3*ln(F)^3/e^4*F^(b*c*x)*F^(a*c)/(b*c*x*ln(F)+b*c*d/e*ln(F))^3-1/6*b^3*c^3*ln(F)^3/e^4*F^(b*c*x)*F^(a*c)/(b*c*x*ln(F)+b*c*d/e*ln(F))^2-1/6*b^3*c^3*ln(F)^3/e^4*F^(b*c*x)*F^(a*c)/(b*c*x*ln(F)+b*c*d/e*ln(F))-1/6*b^3*c^3*ln(F)^3/e^4*F^((a*e-b*d)*c/e)*Ei(1,-b*c*x*ln(F)-a*c*ln(F)-(-a*c*e*ln(F)+b*c*d*ln(F))/e)","A"
11,1,243,151,0.075000," ","int(F^((b*x+a)*c)/(e*x+d)^5,x)","-\frac{b^{4} c^{4} F^{a c} F^{b c x} \ln \left(F \right)^{4}}{4 \left(b c x \ln \left(F \right)+\frac{b c d \ln \left(F \right)}{e}\right)^{4} e^{5}}-\frac{b^{4} c^{4} F^{a c} F^{b c x} \ln \left(F \right)^{4}}{12 \left(b c x \ln \left(F \right)+\frac{b c d \ln \left(F \right)}{e}\right)^{3} e^{5}}-\frac{b^{4} c^{4} F^{a c} F^{b c x} \ln \left(F \right)^{4}}{24 \left(b c x \ln \left(F \right)+\frac{b c d \ln \left(F \right)}{e}\right)^{2} e^{5}}-\frac{b^{4} c^{4} F^{a c} F^{b c x} \ln \left(F \right)^{4}}{24 \left(b c x \ln \left(F \right)+\frac{b c d \ln \left(F \right)}{e}\right) e^{5}}-\frac{b^{4} c^{4} F^{\frac{\left(a e -b d \right) c}{e}} \Ei \left(1, -b c x \ln \left(F \right)-a c \ln \left(F \right)-\frac{-a c e \ln \left(F \right)+b c d \ln \left(F \right)}{e}\right) \ln \left(F \right)^{4}}{24 e^{5}}"," ",0,"-1/4*b^4*c^4*ln(F)^4/e^5*F^(b*c*x)*F^(a*c)/(b*c*x*ln(F)+b*c*d/e*ln(F))^4-1/12*b^4*c^4*ln(F)^4/e^5*F^(b*c*x)*F^(a*c)/(b*c*x*ln(F)+b*c*d/e*ln(F))^3-1/24*b^4*c^4*ln(F)^4/e^5*F^(b*c*x)*F^(a*c)/(b*c*x*ln(F)+b*c*d/e*ln(F))^2-1/24*b^4*c^4*ln(F)^4/e^5*F^(b*c*x)*F^(a*c)/(b*c*x*ln(F)+b*c*d/e*ln(F))-1/24*b^4*c^4*ln(F)^4/e^5*F^((a*e-b*d)*c/e)*Ei(1,-b*c*x*ln(F)-a*c*ln(F)-(-a*c*e*ln(F)+b*c*d*ln(F))/e)","A"
12,1,260,141,0.010000," ","int(F^((b*x+a)*c)*(e^4*x^4+4*d*e^3*x^3+6*d^2*e^2*x^2+4*d^3*e*x+d^4),x)","\frac{\left(b^{4} c^{4} e^{4} x^{4} \ln \left(F \right)^{4}+4 b^{4} c^{4} d \,e^{3} x^{3} \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^{3} e x \ln \left(F \right)^{4}+b^{4} c^{4} d^{4} \ln \left(F \right)^{4}-4 b^{3} c^{3} e^{4} x^{3} \ln \left(F \right)^{3}-12 b^{3} c^{3} d \,e^{3} x^{2} \ln \left(F \right)^{3}-12 b^{3} c^{3} d^{2} e^{2} x \ln \left(F \right)^{3}-4 b^{3} c^{3} d^{3} e \ln \left(F \right)^{3}+12 b^{2} c^{2} e^{4} x^{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} d^{2} e^{2} \ln \left(F \right)^{2}-24 b c \,e^{4} x \ln \left(F \right)-24 b c d \,e^{3} \ln \left(F \right)+24 e^{4}\right) F^{\left(b x +a \right) c}}{b^{5} c^{5} \ln \left(F \right)^{5}}"," ",0,"(b^4*c^4*e^4*x^4*ln(F)^4+4*b^4*c^4*d*e^3*x^3*ln(F)^4+6*b^4*c^4*d^2*e^2*x^2*ln(F)^4+4*b^4*c^4*d^3*e*x*ln(F)^4+b^4*c^4*d^4*ln(F)^4-4*b^3*c^3*e^4*x^3*ln(F)^3-12*b^3*c^3*d*e^3*x^2*ln(F)^3-12*b^3*c^3*d^2*e^2*x*ln(F)^3-4*b^3*c^3*d^3*e*ln(F)^3+12*b^2*c^2*e^4*x^2*ln(F)^2+24*b^2*c^2*d*e^3*x*ln(F)^2+12*b^2*c^2*d^2*e^2*ln(F)^2-24*b*c*e^4*x*ln(F)-24*b*c*d*e^3*ln(F)+24*e^4)/b^5/c^5*F^((b*x+a)*c)/ln(F)^5","A"
13,1,165,110,0.011000," ","int(F^((b*x+a)*c)*(e^3*x^3+3*d*e^2*x^2+3*d^2*e*x+d^3),x)","\frac{\left(b^{3} c^{3} e^{3} x^{3} \ln \left(F \right)^{3}+3 b^{3} c^{3} d \,e^{2} x^{2} \ln \left(F \right)^{3}+3 b^{3} c^{3} d^{2} e x \ln \left(F \right)^{3}+b^{3} c^{3} d^{3} \ln \left(F \right)^{3}-3 b^{2} c^{2} e^{3} x^{2} \ln \left(F \right)^{2}-6 b^{2} c^{2} d \,e^{2} x \ln \left(F \right)^{2}-3 b^{2} c^{2} d^{2} e \ln \left(F \right)^{2}+6 b c \,e^{3} x \ln \left(F \right)+6 b c d \,e^{2} \ln \left(F \right)-6 e^{3}\right) F^{\left(b x +a \right) c}}{b^{4} c^{4} \ln \left(F \right)^{4}}"," ",0,"(b^3*c^3*e^3*x^3*ln(F)^3+3*b^3*c^3*d*e^2*x^2*ln(F)^3+3*b^3*c^3*d^2*e*x*ln(F)^3+b^3*c^3*d^3*ln(F)^3-3*b^2*c^2*e^3*x^2*ln(F)^2-6*b^2*c^2*d*e^2*x*ln(F)^2-3*b^2*c^2*d^2*e*ln(F)^2+6*b*c*e^3*x*ln(F)+6*b*c*d*e^2*ln(F)-6*e^3)/b^4/c^4*F^((b*x+a)*c)/ln(F)^4","A"
14,1,91,79,0.009000," ","int(F^((b*x+a)*c)*(e^2*x^2+2*d*e*x+d^2),x)","\frac{\left(b^{2} c^{2} e^{2} x^{2} \ln \left(F \right)^{2}+2 b^{2} c^{2} d e x \ln \left(F \right)^{2}+b^{2} c^{2} d^{2} \ln \left(F \right)^{2}-2 b c \,e^{2} x \ln \left(F \right)-2 b c d e \ln \left(F \right)+2 e^{2}\right) F^{\left(b x +a \right) c}}{b^{3} c^{3} \ln \left(F \right)^{3}}"," ",0,"(b^2*c^2*e^2*x^2*ln(F)^2+2*b^2*c^2*d*e*x*ln(F)^2+b^2*c^2*d^2*ln(F)^2-2*b*c*e^2*x*ln(F)-2*b*c*d*e*ln(F)+2*e^2)/b^3/c^3*F^((b*x+a)*c)/ln(F)^3","A"
15,1,99,57,0.066000," ","int(F^((b*x+a)*c)/(e^2*x^2+2*d*e*x+d^2),x)","-\frac{b c \,F^{a c} F^{b c x} \ln \left(F \right)}{\left(b c x \ln \left(F \right)+\frac{b c d \ln \left(F \right)}{e}\right) e^{2}}-\frac{b c \,F^{\frac{\left(a e -b d \right) c}{e}} \Ei \left(1, -b c x \ln \left(F \right)-a c \ln \left(F \right)-\frac{-a c e \ln \left(F \right)+b c d \ln \left(F \right)}{e}\right) \ln \left(F \right)}{e^{2}}"," ",0,"-1/(b*c*x*ln(F)+b*c*d/e*ln(F))*b*c/e^2*F^(a*c)*F^(b*c*x)*ln(F)-b*c*ln(F)/e^2*F^((a*e-b*d)*c/e)*Ei(1,-b*c*x*ln(F)-a*c*ln(F)-(-a*c*e*ln(F)+b*c*d*ln(F))/e)","A"
16,1,155,89,0.080000," ","int(F^((b*x+a)*c)/(e^3*x^3+3*d*e^2*x^2+3*d^2*e*x+d^3),x)","-\frac{b^{2} c^{2} F^{a c} F^{b c x} \ln \left(F \right)^{2}}{2 \left(b c x \ln \left(F \right)+\frac{b c d \ln \left(F \right)}{e}\right)^{2} e^{3}}-\frac{b^{2} c^{2} F^{a c} F^{b c x} \ln \left(F \right)^{2}}{2 \left(b c x \ln \left(F \right)+\frac{b c d \ln \left(F \right)}{e}\right) e^{3}}-\frac{b^{2} c^{2} F^{\frac{\left(a e -b d \right) c}{e}} \Ei \left(1, -b c x \ln \left(F \right)-a c \ln \left(F \right)-\frac{-a c e \ln \left(F \right)+b c d \ln \left(F \right)}{e}\right) \ln \left(F \right)^{2}}{2 e^{3}}"," ",0,"-1/2/(b*c*x*ln(F)+b*c*d/e*ln(F))^2*b^2*c^2/e^3*F^(a*c)*F^(b*c*x)*ln(F)^2-1/2/(b*c*x*ln(F)+b*c*d/e*ln(F))*b^2*c^2/e^3*F^(a*c)*F^(b*c*x)*ln(F)^2-1/2*b^2*c^2*ln(F)^2/e^3*F^((a*e-b*d)*c/e)*Ei(1,-b*c*x*ln(F)-a*c*ln(F)-(-a*c*e*ln(F)+b*c*d*ln(F))/e)","A"
17,1,199,120,0.095000," ","int(F^((b*x+a)*c)/(e^4*x^4+4*d*e^3*x^3+6*d^2*e^2*x^2+4*d^3*e*x+d^4),x)","-\frac{b^{3} c^{3} F^{a c} F^{b c x} \ln \left(F \right)^{3}}{3 \left(b c x \ln \left(F \right)+\frac{b c d \ln \left(F \right)}{e}\right)^{3} e^{4}}-\frac{b^{3} c^{3} F^{a c} F^{b c x} \ln \left(F \right)^{3}}{6 \left(b c x \ln \left(F \right)+\frac{b c d \ln \left(F \right)}{e}\right)^{2} e^{4}}-\frac{b^{3} c^{3} F^{a c} F^{b c x} \ln \left(F \right)^{3}}{6 \left(b c x \ln \left(F \right)+\frac{b c d \ln \left(F \right)}{e}\right) e^{4}}-\frac{b^{3} c^{3} F^{\frac{\left(a e -b d \right) c}{e}} \Ei \left(1, -b c x \ln \left(F \right)-a c \ln \left(F \right)-\frac{-a c e \ln \left(F \right)+b c d \ln \left(F \right)}{e}\right) \ln \left(F \right)^{3}}{6 e^{4}}"," ",0,"-1/3/(b*c*x*ln(F)+b*c*d/e*ln(F))^3*b^3*c^3/e^4*F^(a*c)*F^(b*c*x)*ln(F)^3-1/6/(b*c*x*ln(F)+b*c*d/e*ln(F))^2*b^3*c^3/e^4*F^(a*c)*F^(b*c*x)*ln(F)^3-1/6/(b*c*x*ln(F)+b*c*d/e*ln(F))*b^3*c^3/e^4*F^(a*c)*F^(b*c*x)*ln(F)^3-1/6*b^3*c^3*ln(F)^3/e^4*F^((a*e-b*d)*c/e)*Ei(1,-b*c*x*ln(F)-a*c*ln(F)-(-a*c*e*ln(F)+b*c*d*ln(F))/e)","A"
18,1,243,151,0.117000," ","int(F^((b*x+a)*c)/(e^5*x^5+5*d*e^4*x^4+10*d^2*e^3*x^3+10*d^3*e^2*x^2+5*d^4*e*x+d^5),x)","-\frac{b^{4} c^{4} F^{a c} F^{b c x} \ln \left(F \right)^{4}}{4 \left(b c x \ln \left(F \right)+\frac{b c d \ln \left(F \right)}{e}\right)^{4} e^{5}}-\frac{b^{4} c^{4} F^{a c} F^{b c x} \ln \left(F \right)^{4}}{12 \left(b c x \ln \left(F \right)+\frac{b c d \ln \left(F \right)}{e}\right)^{3} e^{5}}-\frac{b^{4} c^{4} F^{a c} F^{b c x} \ln \left(F \right)^{4}}{24 \left(b c x \ln \left(F \right)+\frac{b c d \ln \left(F \right)}{e}\right)^{2} e^{5}}-\frac{b^{4} c^{4} F^{a c} F^{b c x} \ln \left(F \right)^{4}}{24 \left(b c x \ln \left(F \right)+\frac{b c d \ln \left(F \right)}{e}\right) e^{5}}-\frac{b^{4} c^{4} F^{\frac{\left(a e -b d \right) c}{e}} \Ei \left(1, -b c x \ln \left(F \right)-a c \ln \left(F \right)-\frac{-a c e \ln \left(F \right)+b c d \ln \left(F \right)}{e}\right) \ln \left(F \right)^{4}}{24 e^{5}}"," ",0,"-1/4/(b*c*x*ln(F)+b*c*d/e*ln(F))^4*b^4*c^4/e^5*F^(a*c)*F^(b*c*x)*ln(F)^4-1/12/(b*c*x*ln(F)+b*c*d/e*ln(F))^3*b^4*c^4/e^5*F^(a*c)*F^(b*c*x)*ln(F)^4-1/24/(b*c*x*ln(F)+b*c*d/e*ln(F))^2*b^4*c^4/e^5*F^(a*c)*F^(b*c*x)*ln(F)^4-1/24/(b*c*x*ln(F)+b*c*d/e*ln(F))*b^4*c^4/e^5*F^(a*c)*F^(b*c*x)*ln(F)^4-1/24*b^4*c^4*ln(F)^4/e^5*F^((a*e-b*d)*c/e)*Ei(1,-b*c*x*ln(F)-a*c*ln(F)-(-a*c*e*ln(F)+b*c*d*ln(F))/e)","A"
19,0,0,73,0.072000," ","int(F^((b*x+a)*c)*((e*x+d)^n)^m,x)","\int F^{\left(b x +a \right) c} \left(\left(e x +d \right)^{n}\right)^{m}\, dx"," ",0,"int(F^((b*x+a)*c)*((e*x+d)^n)^m,x)","F"
20,0,0,73,0.173000," ","int(F^((b*x+a)*c)*(e^4*x^4+4*d*e^3*x^3+6*d^2*e^2*x^2+4*d^3*e*x+d^4)^m,x)","\int F^{\left(b x +a \right) c} \left(e^{4} x^{4}+4 d \,e^{3} x^{3}+6 d^{2} e^{2} x^{2}+4 d^{3} e x +d^{4}\right)^{m}\, dx"," ",0,"int(F^((b*x+a)*c)*(e^4*x^4+4*d*e^3*x^3+6*d^2*e^2*x^2+4*d^3*e*x+d^4)^m,x)","F"
21,0,0,73,0.120000," ","int(F^((b*x+a)*c)*(e^3*x^3+3*d*e^2*x^2+3*d^2*e*x+d^3)^m,x)","\int F^{\left(b x +a \right) c} \left(e^{3} x^{3}+3 d \,e^{2} x^{2}+3 d^{2} e x +d^{3}\right)^{m}\, dx"," ",0,"int(F^((b*x+a)*c)*(e^3*x^3+3*d*e^2*x^2+3*d^2*e*x+d^3)^m,x)","F"
22,0,0,73,0.143000," ","int(F^((b*x+a)*c)*(e^2*x^2+2*d*e*x+d^2)^m,x)","\int F^{\left(b x +a \right) c} \left(e^{2} x^{2}+2 d e x +d^{2}\right)^{m}\, dx"," ",0,"int(F^((b*x+a)*c)*(e^2*x^2+2*d*e*x+d^2)^m,x)","F"
23,0,0,67,0.001000," ","int(F^((b*x+a)*c)*(e*x+d)^m,x)","\int F^{\left(b x +a \right) c} \left(e x +d \right)^{m}\, dx"," ",0,"int(F^((b*x+a)*c)*(e*x+d)^m,x)","F"
24,0,0,69,0.073000," ","int(F^((b*x+a)*c)/((e*x+d)^m),x)","\int F^{\left(b x +a \right) c} \left(e x +d \right)^{-m}\, dx"," ",0,"int(F^((b*x+a)*c)/((e*x+d)^m),x)","F"
25,0,0,73,0.140000," ","int(F^((b*x+a)*c)/((e^2*x^2+2*d*e*x+d^2)^m),x)","\int F^{\left(b x +a \right) c} \left(e^{2} x^{2}+2 d e x +d^{2}\right)^{-m}\, dx"," ",0,"int(F^((b*x+a)*c)/((e^2*x^2+2*d*e*x+d^2)^m),x)","F"
26,0,0,73,0.122000," ","int(F^((b*x+a)*c)/((e^3*x^3+3*d*e^2*x^2+3*d^2*e*x+d^3)^m),x)","\int F^{\left(b x +a \right) c} \left(e^{3} x^{3}+3 d \,e^{2} x^{2}+3 d^{2} e x +d^{3}\right)^{-m}\, dx"," ",0,"int(F^((b*x+a)*c)/((e^3*x^3+3*d*e^2*x^2+3*d^2*e*x+d^3)^m),x)","F"
27,1,14,13,0.006000," ","int(F^(5*x+2),x)","\frac{F^{5 x +2}}{5 \ln \left(F \right)}"," ",0,"1/5*F^(5*x+2)/ln(F)","A"
28,1,16,15,0.005000," ","int(F^(b*x+a),x)","\frac{F^{b x +a}}{b \ln \left(F \right)}"," ",0,"F^(b*x+a)/b/ln(F)","A"
29,1,14,19,0.013000," ","int(10^(5*x+2),x)","\frac{10^{5 x +2}}{5 \ln \left(10\right)}"," ",0,"1/5/ln(10)*10^(5*x+2)","A"
30,1,99,103,0.032000," ","int(F^(b*x+a)*x^(7/2),x)","-\frac{\left(-\frac{\left(-b \right)^{\frac{9}{2}} \left(-72 b^{3} x^{3} \ln \left(F \right)^{3}+252 b^{2} x^{2} \ln \left(F \right)^{2}-630 b x \ln \left(F \right)+945\right) \sqrt{x}\, {\mathrm e}^{b x \ln \left(F \right)} \sqrt{\ln \left(F \right)}}{72 b^{4}}+\frac{105 \left(-b \right)^{\frac{9}{2}} \sqrt{\pi}\, \erfi \left(\sqrt{b}\, \sqrt{x}\, \sqrt{\ln \left(F \right)}\right)}{16 b^{\frac{9}{2}}}\right) F^{a}}{\left(-b \right)^{\frac{7}{2}} b \ln \left(F \right)^{\frac{9}{2}}}"," ",0,"-F^a/(-b)^(7/2)/ln(F)^(9/2)/b*(-1/72*x^(1/2)*(-b)^(9/2)*ln(F)^(1/2)*(-72*b^3*x^3*ln(F)^3+252*b^2*x^2*ln(F)^2-630*b*ln(F)*x+945)/b^4*exp(b*ln(F)*x)+105/16*(-b)^(9/2)/b^(9/2)*Pi^(1/2)*erfi(b^(1/2)*x^(1/2)*ln(F)^(1/2)))","A"
31,1,87,84,0.020000," ","int(F^(b*x+a)*x^(5/2),x)","-\frac{\left(\frac{\left(-b \right)^{\frac{7}{2}} \left(28 b^{2} x^{2} \ln \left(F \right)^{2}-70 b x \ln \left(F \right)+105\right) \sqrt{x}\, {\mathrm e}^{b x \ln \left(F \right)} \sqrt{\ln \left(F \right)}}{28 b^{3}}-\frac{15 \left(-b \right)^{\frac{7}{2}} \sqrt{\pi}\, \erfi \left(\sqrt{b}\, \sqrt{x}\, \sqrt{\ln \left(F \right)}\right)}{8 b^{\frac{7}{2}}}\right) F^{a}}{\left(-b \right)^{\frac{5}{2}} b \ln \left(F \right)^{\frac{7}{2}}}"," ",0,"-F^a/(-b)^(5/2)/ln(F)^(7/2)/b*(1/28*x^(1/2)*(-b)^(7/2)*ln(F)^(1/2)*(28*b^2*x^2*ln(F)^2-70*b*x*ln(F)+105)/b^3*exp(b*x*ln(F))-15/8*(-b)^(7/2)/b^(7/2)*Pi^(1/2)*erfi(b^(1/2)*x^(1/2)*ln(F)^(1/2)))","A"
32,1,75,65,0.019000," ","int(F^(b*x+a)*x^(3/2),x)","-\frac{\left(-\frac{\left(-b \right)^{\frac{5}{2}} \left(-10 b x \ln \left(F \right)+15\right) \sqrt{x}\, {\mathrm e}^{b x \ln \left(F \right)} \sqrt{\ln \left(F \right)}}{10 b^{2}}+\frac{3 \left(-b \right)^{\frac{5}{2}} \sqrt{\pi}\, \erfi \left(\sqrt{b}\, \sqrt{x}\, \sqrt{\ln \left(F \right)}\right)}{4 b^{\frac{5}{2}}}\right) F^{a}}{\left(-b \right)^{\frac{3}{2}} b \ln \left(F \right)^{\frac{5}{2}}}"," ",0,"-F^a/(-b)^(3/2)/ln(F)^(5/2)/b*(-1/10*x^(1/2)*(-b)^(5/2)*ln(F)^(1/2)*(-10*b*x*ln(F)+15)/b^2*exp(b*x*ln(F))+3/4*(-b)^(5/2)/b^(5/2)*Pi^(1/2)*erfi(b^(1/2)*x^(1/2)*ln(F)^(1/2)))","A"
33,1,66,46,0.019000," ","int(F^(b*x+a)*x^(1/2),x)","-\frac{\left(\frac{\left(-b \right)^{\frac{3}{2}} \sqrt{x}\, {\mathrm e}^{b x \ln \left(F \right)} \sqrt{\ln \left(F \right)}}{b}-\frac{\left(-b \right)^{\frac{3}{2}} \sqrt{\pi}\, \erfi \left(\sqrt{b}\, \sqrt{x}\, \sqrt{\ln \left(F \right)}\right)}{2 b^{\frac{3}{2}}}\right) F^{a}}{\sqrt{-b}\, b \ln \left(F \right)^{\frac{3}{2}}}"," ",0,"-F^a/(-b)^(1/2)/ln(F)^(3/2)/b*(x^(1/2)*(-b)^(3/2)*ln(F)^(1/2)/b*exp(b*x*ln(F))-1/2*(-b)^(3/2)/b^(3/2)*Pi^(1/2)*erfi(b^(1/2)*x^(1/2)*ln(F)^(1/2)))","A"
34,1,27,26,0.019000," ","int(F^(b*x+a)/x^(1/2),x)","\frac{\sqrt{\pi}\, F^{a} \erfi \left(\sqrt{b}\, \sqrt{x}\, \sqrt{\ln \left(F \right)}\right)}{\sqrt{b}\, \sqrt{\ln \left(F \right)}}"," ",0,"F^a*erfi(b^(1/2)*x^(1/2)*ln(F)^(1/2))*Pi^(1/2)/b^(1/2)/ln(F)^(1/2)","A"
35,1,64,40,0.021000," ","int(F^(b*x+a)/x^(3/2),x)","-\frac{\left(-b \right)^{\frac{3}{2}} \left(\frac{2 \sqrt{\pi}\, \sqrt{b}\, \erfi \left(\sqrt{b}\, \sqrt{x}\, \sqrt{\ln \left(F \right)}\right)}{\sqrt{-b}}-\frac{2 \,{\mathrm e}^{b x \ln \left(F \right)}}{\sqrt{-b}\, \sqrt{x}\, \sqrt{\ln \left(F \right)}}\right) F^{a} \sqrt{\ln \left(F \right)}}{b}"," ",0,"-F^a*(-b)^(3/2)*ln(F)^(1/2)/b*(-2/x^(1/2)/(-b)^(1/2)/ln(F)^(1/2)*exp(b*x*ln(F))+2/(-b)^(1/2)*b^(1/2)*Pi^(1/2)*erfi(b^(1/2)*x^(1/2)*ln(F)^(1/2)))","A"
36,1,72,55,0.022000," ","int(F^(b*x+a)/x^(5/2),x)","-\frac{\left(-b \right)^{\frac{5}{2}} \left(\frac{4 \sqrt{\pi}\, b^{\frac{3}{2}} \erfi \left(\sqrt{b}\, \sqrt{x}\, \sqrt{\ln \left(F \right)}\right)}{3 \left(-b \right)^{\frac{3}{2}}}-\frac{2 \left(2 b x \ln \left(F \right)+1\right) {\mathrm e}^{b x \ln \left(F \right)}}{3 \left(-b \right)^{\frac{3}{2}} x^{\frac{3}{2}} \ln \left(F \right)^{\frac{3}{2}}}\right) F^{a} \ln \left(F \right)^{\frac{3}{2}}}{b}"," ",0,"-F^a*(-b)^(5/2)*ln(F)^(3/2)/b*(-2/3/x^(3/2)/(-b)^(3/2)/ln(F)^(3/2)*(2*b*x*ln(F)+1)*exp(b*x*ln(F))+4/3/(-b)^(3/2)*b^(3/2)*Pi^(1/2)*erfi(b^(1/2)*x^(1/2)*ln(F)^(1/2)))","A"
37,1,84,74,0.022000," ","int(F^(b*x+a)/x^(7/2),x)","-\frac{\left(-b \right)^{\frac{7}{2}} \left(\frac{8 \sqrt{\pi}\, b^{\frac{5}{2}} \erfi \left(\sqrt{b}\, \sqrt{x}\, \sqrt{\ln \left(F \right)}\right)}{15 \left(-b \right)^{\frac{5}{2}}}-\frac{2 \left(\frac{4 b^{2} x^{2} \ln \left(F \right)^{2}}{3}+\frac{2 b x \ln \left(F \right)}{3}+1\right) {\mathrm e}^{b x \ln \left(F \right)}}{5 \left(-b \right)^{\frac{5}{2}} x^{\frac{5}{2}} \ln \left(F \right)^{\frac{5}{2}}}\right) F^{a} \ln \left(F \right)^{\frac{5}{2}}}{b}"," ",0,"-F^a*(-b)^(7/2)*ln(F)^(5/2)/b*(-2/5/x^(5/2)/(-b)^(5/2)/ln(F)^(5/2)*(4/3*b^2*x^2*ln(F)^2+2/3*b*x*ln(F)+1)*exp(b*x*ln(F))+8/15/(-b)^(5/2)*b^(5/2)*Pi^(1/2)*erfi(b^(1/2)*x^(1/2)*ln(F)^(1/2)))","A"
38,1,96,93,0.023000," ","int(F^(b*x+a)/x^(9/2),x)","-\frac{\left(-b \right)^{\frac{9}{2}} \left(\frac{16 \sqrt{\pi}\, b^{\frac{7}{2}} \erfi \left(\sqrt{b}\, \sqrt{x}\, \sqrt{\ln \left(F \right)}\right)}{105 \left(-b \right)^{\frac{7}{2}}}-\frac{2 \left(\frac{8 b^{3} x^{3} \ln \left(F \right)^{3}}{15}+\frac{4 b^{2} x^{2} \ln \left(F \right)^{2}}{15}+\frac{2 b x \ln \left(F \right)}{5}+1\right) {\mathrm e}^{b x \ln \left(F \right)}}{7 \left(-b \right)^{\frac{7}{2}} x^{\frac{7}{2}} \ln \left(F \right)^{\frac{7}{2}}}\right) F^{a} \ln \left(F \right)^{\frac{7}{2}}}{b}"," ",0,"-F^a*(-b)^(9/2)*ln(F)^(7/2)/b*(-2/7/x^(7/2)/(-b)^(7/2)/ln(F)^(7/2)*(8/15*b^3*x^3*ln(F)^3+4/15*b^2*x^2*ln(F)^2+2/5*b*x*ln(F)+1)*exp(b*x*ln(F))+16/105/(-b)^(7/2)*b^(7/2)*Pi^(1/2)*erfi(b^(1/2)*x^(1/2)*ln(F)^(1/2)))","A"
39,0,0,172,0.073000," ","int(F^((b*x+a)*c)*(e*x+d)^(7/2),x)","\int \left(e x +d \right)^{\frac{7}{2}} F^{\left(b x +a \right) c}\, dx"," ",0,"int(F^((b*x+a)*c)*(e*x+d)^(7/2),x)","F"
40,0,0,141,0.074000," ","int(F^((b*x+a)*c)*(e*x+d)^(5/2),x)","\int \left(e x +d \right)^{\frac{5}{2}} F^{\left(b x +a \right) c}\, dx"," ",0,"int(F^((b*x+a)*c)*(e*x+d)^(5/2),x)","F"
41,0,0,110,0.075000," ","int(F^((b*x+a)*c)*(e*x+d)^(3/2),x)","\int \left(e x +d \right)^{\frac{3}{2}} F^{\left(b x +a \right) c}\, dx"," ",0,"int(F^((b*x+a)*c)*(e*x+d)^(3/2),x)","F"
42,0,0,81,0.076000," ","int(F^((b*x+a)*c)*(e*x+d)^(1/2),x)","\int \sqrt{e x +d}\, F^{\left(b x +a \right) c}\, dx"," ",0,"int(F^((b*x+a)*c)*(e*x+d)^(1/2),x)","F"
43,0,0,52,0.072000," ","int(F^((b*x+a)*c)/(e*x+d)^(1/2),x)","\int \frac{F^{\left(b x +a \right) c}}{\sqrt{e x +d}}\, dx"," ",0,"int(F^((b*x+a)*c)/(e*x+d)^(1/2),x)","F"
44,0,0,75,0.074000," ","int(F^((b*x+a)*c)/(e*x+d)^(3/2),x)","\int \frac{F^{\left(b x +a \right) c}}{\left(e x +d \right)^{\frac{3}{2}}}\, dx"," ",0,"int(F^((b*x+a)*c)/(e*x+d)^(3/2),x)","F"
45,0,0,100,0.074000," ","int(F^((b*x+a)*c)/(e*x+d)^(5/2),x)","\int \frac{F^{\left(b x +a \right) c}}{\left(e x +d \right)^{\frac{5}{2}}}\, dx"," ",0,"int(F^((b*x+a)*c)/(e*x+d)^(5/2),x)","F"
46,0,0,131,0.073000," ","int(F^((b*x+a)*c)/(e*x+d)^(7/2),x)","\int \frac{F^{\left(b x +a \right) c}}{\left(e x +d \right)^{\frac{7}{2}}}\, dx"," ",0,"int(F^((b*x+a)*c)/(e*x+d)^(7/2),x)","F"
47,0,0,162,0.073000," ","int(F^((b*x+a)*c)/(e*x+d)^(9/2),x)","\int \frac{F^{\left(b x +a \right) c}}{\left(e x +d \right)^{\frac{9}{2}}}\, dx"," ",0,"int(F^((b*x+a)*c)/(e*x+d)^(9/2),x)","F"
48,1,145,115,0.137000," ","int(x^(13/2)/exp(b*x),x)","-\frac{x^{\frac{13}{2}} {\mathrm e}^{-b x}}{b}+\frac{-\frac{13 x^{\frac{11}{2}} {\mathrm e}^{-b x}}{2 b}+\frac{13 \left(-\frac{11 x^{\frac{9}{2}} {\mathrm e}^{-b x}}{4 b}+\frac{11 \left(-\frac{9 x^{\frac{7}{2}} {\mathrm e}^{-b x}}{4 b}+\frac{9 \left(-\frac{7 x^{\frac{5}{2}} {\mathrm e}^{-b x}}{4 b}+\frac{7 \left(-\frac{5 x^{\frac{3}{2}} {\mathrm e}^{-b x}}{4 b}+\frac{5 \left(-\frac{3 \sqrt{x}\, {\mathrm e}^{-b x}}{4 b}+\frac{3 \sqrt{\pi}\, \erf \left(\sqrt{b}\, \sqrt{x}\right)}{8 b^{\frac{3}{2}}}\right)}{2 b}\right)}{2 b}\right)}{2 b}\right)}{2 b}\right)}{b}}{b}"," ",0,"-1/b*x^(13/2)*exp(-b*x)+13/b*(-1/2/b*x^(11/2)*exp(-b*x)+11/2/b*(-1/2/b*x^(9/2)*exp(-b*x)+9/2/b*(-1/2/b*x^(7/2)*exp(-b*x)+7/2/b*(-1/2/b*x^(5/2)*exp(-b*x)+5/2/b*(-1/2/b*x^(3/2)*exp(-b*x)+3/2/b*(-1/2/b*x^(1/2)*exp(-b*x)+1/4/b^(3/2)*Pi^(1/2)*erf(b^(1/2)*x^(1/2))))))))","A"
49,0,0,65,0.074000," ","int(F^((b*x+a)*c)*(e*x+d)^(4/3),x)","\int \left(e x +d \right)^{\frac{4}{3}} F^{\left(b x +a \right) c}\, dx"," ",0,"int(F^((b*x+a)*c)*(e*x+d)^(4/3),x)","F"
50,0,0,92,0.077000," ","int((F^((b*x+a)*c))^n*(e*x+d)^(4/3),x)","\int \left(e x +d \right)^{\frac{4}{3}} \left(F^{\left(b x +a \right) c}\right)^{n}\, dx"," ",0,"int((F^((b*x+a)*c))^n*(e*x+d)^(4/3),x)","F"
51,1,38,48,0.006000," ","int(F^((b*x+a)*c)*(e*x+d),x)","\frac{\left(b c e x \ln \left(F \right)+b c d \ln \left(F \right)-e \right) F^{\left(b x +a \right) c}}{b^{2} c^{2} \ln \left(F \right)^{2}}"," ",0,"(b*c*e*x*ln(F)+b*c*d*ln(F)-e)/b^2/c^2*F^((b*x+a)*c)/ln(F)^2","A"
52,1,80,135,0.009000," ","int(F^((b*x+a)*c)*(f*x^2+e*x+d),x)","\frac{\left(b^{2} c^{2} f \,x^{2} \ln \left(F \right)^{2}+b^{2} c^{2} e x \ln \left(F \right)^{2}+b^{2} c^{2} d \ln \left(F \right)^{2}-2 b c f x \ln \left(F \right)-b c e \ln \left(F \right)+2 f \right) F^{\left(b x +a \right) c}}{b^{3} c^{3} \ln \left(F \right)^{3}}"," ",0,"(f*x^2*b^2*c^2*ln(F)^2+ln(F)^2*b^2*c^2*e*x+b^2*c^2*ln(F)^2*d-2*ln(F)*b*c*f*x-ln(F)*b*c*e+2*f)*F^((b*x+a)*c)/b^3/c^3/ln(F)^3","A"
53,1,138,229,0.007000," ","int(F^((b*x+a)*c)*(g*x^3+f*x^2+e*x+d),x)","\frac{\left(b^{3} c^{3} g \,x^{3} \ln \left(F \right)^{3}+b^{3} c^{3} f \,x^{2} \ln \left(F \right)^{3}+b^{3} c^{3} e x \ln \left(F \right)^{3}+b^{3} c^{3} d \ln \left(F \right)^{3}-3 b^{2} c^{2} g \,x^{2} \ln \left(F \right)^{2}-2 b^{2} c^{2} f x \ln \left(F \right)^{2}-b^{2} c^{2} e \ln \left(F \right)^{2}+6 b c g x \ln \left(F \right)+2 b c f \ln \left(F \right)-6 g \right) F^{\left(b x +a \right) c}}{b^{4} c^{4} \ln \left(F \right)^{4}}"," ",0,"(g*x^3*b^3*c^3*ln(F)^3+ln(F)^3*b^3*c^3*f*x^2+ln(F)^3*b^3*c^3*e*x+b^3*c^3*ln(F)^3*d-3*ln(F)^2*b^2*c^2*g*x^2-2*ln(F)^2*b^2*c^2*f*x-b^2*c^2*ln(F)^2*e+6*ln(F)*b*c*g*x+2*f*b*c*ln(F)-6*g)*F^((b*x+a)*c)/b^4/c^4/ln(F)^4","A"
54,1,212,348,0.009000," ","int(F^((b*x+a)*c)*(h*x^4+g*x^3+f*x^2+e*x+d),x)","\frac{\left(b^{4} c^{4} h \,x^{4} \ln \left(F \right)^{4}+b^{4} c^{4} g \,x^{3} \ln \left(F \right)^{4}+b^{4} c^{4} f \,x^{2} \ln \left(F \right)^{4}+b^{4} c^{4} e x \ln \left(F \right)^{4}+b^{4} c^{4} d \ln \left(F \right)^{4}-4 b^{3} c^{3} h \,x^{3} \ln \left(F \right)^{3}-3 b^{3} c^{3} g \,x^{2} \ln \left(F \right)^{3}-2 b^{3} c^{3} f x \ln \left(F \right)^{3}-b^{3} c^{3} e \ln \left(F \right)^{3}+12 b^{2} c^{2} h \,x^{2} \ln \left(F \right)^{2}+6 b^{2} c^{2} g x \ln \left(F \right)^{2}+2 b^{2} c^{2} f \ln \left(F \right)^{2}-24 b c h x \ln \left(F \right)-6 b c g \ln \left(F \right)+24 h \right) F^{\left(b x +a \right) c}}{b^{5} c^{5} \ln \left(F \right)^{5}}"," ",0,"(h*x^4*b^4*c^4*ln(F)^4+ln(F)^4*b^4*c^4*g*x^3+ln(F)^4*b^4*c^4*f*x^2+ln(F)^4*b^4*c^4*e*x+ln(F)^4*b^4*c^4*d-4*ln(F)^3*b^3*c^3*h*x^3-3*ln(F)^3*b^3*c^3*g*x^2-2*ln(F)^3*b^3*c^3*f*x-ln(F)^3*b^3*c^3*e+12*ln(F)^2*b^2*c^2*h*x^2+6*ln(F)^2*b^2*c^2*g*x+2*b^2*c^2*ln(F)^2*f-24*ln(F)*b*c*h*x-6*g*b*c*ln(F)+24*h)*F^((b*x+a)*c)/b^5/c^5/ln(F)^5","A"
55,1,334,112,0.109000," ","int(exp(-b*x-a)*x^m*(b*x+a)^3,x)","\frac{a^{3} x^{m} \left(b x \right)^{-\frac{m}{2}} \WhittakerM \left(\frac{m}{2}, \frac{m}{2}+\frac{1}{2}, b x \right) {\mathrm e}^{-\frac{b x}{2}-a}}{\left(m +1\right) b}+3 \left(b^{m} x^{m} \left(b x \right)^{-\frac{m}{2}} \WhittakerM \left(\frac{m}{2}, \frac{m}{2}+\frac{1}{2}, b x \right) {\mathrm e}^{-\frac{b x}{2}}+\frac{\left(-m -2\right) b^{m} x^{m} \left(b x \right)^{-\frac{m}{2}} \WhittakerM \left(\frac{m}{2}+1, \frac{m}{2}+\frac{1}{2}, b x \right) {\mathrm e}^{-\frac{b x}{2}}}{m +2}\right) a^{2} b^{-m -1} {\mathrm e}^{-a}+3 \left(\left(m +2\right) b^{m} x^{m} \left(b x \right)^{-\frac{m}{2}} \WhittakerM \left(\frac{m}{2}, \frac{m}{2}+\frac{1}{2}, b x \right) {\mathrm e}^{-\frac{b x}{2}}-\left(b x +m +2\right) b^{m} x^{m} \left(b x \right)^{-\frac{m}{2}} \WhittakerM \left(\frac{m}{2}+1, \frac{m}{2}+\frac{1}{2}, b x \right) {\mathrm e}^{-\frac{b x}{2}}\right) a \,b^{-m -1} {\mathrm e}^{-a}+\left(\left(m^{2}+5 m +6\right) b^{m} x^{m} \left(b x \right)^{-\frac{m}{2}} \WhittakerM \left(\frac{m}{2}, \frac{m}{2}+\frac{1}{2}, b x \right) {\mathrm e}^{-\frac{b x}{2}}-\left(b^{2} x^{2}+b m x +3 b x +m^{2}+5 m +6\right) b^{m} x^{m} \left(b x \right)^{-\frac{m}{2}} \WhittakerM \left(\frac{m}{2}+1, \frac{m}{2}+\frac{1}{2}, b x \right) {\mathrm e}^{-\frac{b x}{2}}\right) b^{-m -1} {\mathrm e}^{-a}"," ",0,"b^(-m-1)*exp(-a)*(x^m*b^m*(m^2+5*m+6)*(b*x)^(-1/2*m)*exp(-1/2*b*x)*WhittakerM(1/2*m,1/2*m+1/2,b*x)-x^m*b^m*(b^2*x^2+b*m*x+3*b*x+m^2+5*m+6)*(b*x)^(-1/2*m)*exp(-1/2*b*x)*WhittakerM(1/2*m+1,1/2*m+1/2,b*x))+3*b^(-m-1)*exp(-a)*a*(x^m*b^m*(2+m)*(b*x)^(-1/2*m)*exp(-1/2*b*x)*WhittakerM(1/2*m,1/2*m+1/2,b*x)-x^m*b^m*(b*x+m+2)*(b*x)^(-1/2*m)*exp(-1/2*b*x)*WhittakerM(1/2*m+1,1/2*m+1/2,b*x))+3*b^(-m-1)*exp(-a)*a^2*(x^m*b^m*(b*x)^(-1/2*m)*exp(-1/2*b*x)*WhittakerM(1/2*m,1/2*m+1/2,b*x)+1/(2+m)*x^m*b^m*(-2-m)*(b*x)^(-1/2*m)*exp(-1/2*b*x)*WhittakerM(1/2*m+1,1/2*m+1/2,b*x))+exp(-a-1/2*b*x)/b*a^3/(m+1)*x^m*(b*x)^(-1/2*m)*WhittakerM(1/2*m,1/2*m+1/2,b*x)","C"
56,1,182,375,0.006000," ","int(exp(-b*x-a)*x^3*(b*x+a)^3,x)","-\frac{\left(b^{6} x^{6}+3 b^{5} x^{5} a +3 a^{2} b^{4} x^{4}+6 b^{5} x^{5}+a^{3} b^{3} x^{3}+15 a \,b^{4} x^{4}+12 a^{2} b^{3} x^{3}+30 x^{4} b^{4}+3 a^{3} b^{2} x^{2}+60 a \,b^{3} x^{3}+36 a^{2} b^{2} x^{2}+120 b^{3} x^{3}+6 a^{3} b x +180 a \,b^{2} x^{2}+72 a^{2} b x +360 b^{2} x^{2}+6 a^{3}+360 a b x +72 a^{2}+720 b x +360 a +720\right) {\mathrm e}^{-b x -a}}{b^{4}}"," ",0,"-(b^6*x^6+3*a*b^5*x^5+3*a^2*b^4*x^4+6*b^5*x^5+a^3*b^3*x^3+15*a*b^4*x^4+12*a^2*b^3*x^3+30*b^4*x^4+3*a^3*b^2*x^2+60*a*b^3*x^3+36*a^2*b^2*x^2+120*b^3*x^3+6*a^3*b*x+180*a*b^2*x^2+72*a^2*b*x+360*b^2*x^2+6*a^3+360*a*b*x+72*a^2+720*b*x+360*a+720)*exp(-b*x-a)/b^4","A"
57,1,143,300,0.006000," ","int(exp(-b*x-a)*x^2*(b*x+a)^3,x)","-\frac{\left(b^{5} x^{5}+3 a \,b^{4} x^{4}+3 a^{2} b^{3} x^{3}+5 x^{4} b^{4}+a^{3} b^{2} x^{2}+12 a \,b^{3} x^{3}+9 a^{2} b^{2} x^{2}+20 b^{3} x^{3}+2 a^{3} b x +36 a \,b^{2} x^{2}+18 a^{2} b x +60 b^{2} x^{2}+2 a^{3}+72 a b x +18 a^{2}+120 b x +72 a +120\right) {\mathrm e}^{-b x -a}}{b^{3}}"," ",0,"-(b^5*x^5+3*a*b^4*x^4+3*a^2*b^3*x^3+5*b^4*x^4+a^3*b^2*x^2+12*a*b^3*x^3+9*a^2*b^2*x^2+20*b^3*x^3+2*a^3*b*x+36*a*b^2*x^2+18*a^2*b*x+60*b^2*x^2+2*a^3+72*a*b*x+18*a^2+120*b*x+72*a+120)*exp(-b*x-a)/b^3","A"
58,1,102,175,0.004000," ","int(exp(-b*x-a)*x*(b*x+a)^3,x)","-\frac{\left(x^{4} b^{4}+3 a \,b^{3} x^{3}+3 a^{2} b^{2} x^{2}+4 b^{3} x^{3}+a^{3} b x +9 a \,b^{2} x^{2}+6 a^{2} b x +12 b^{2} x^{2}+a^{3}+18 a b x +6 a^{2}+24 b x +18 a +24\right) {\mathrm e}^{-b x -a}}{b^{2}}"," ",0,"-(b^4*x^4+3*a*b^3*x^3+3*a^2*b^2*x^2+4*b^3*x^3+a^3*b*x+9*a*b^2*x^2+6*a^2*b*x+12*b^2*x^2+a^3+18*a*b*x+6*a^2+24*b*x+18*a+24)*exp(-b*x-a)/b^2","A"
59,1,68,76,0.004000," ","int(exp(-b*x-a)*(b*x+a)^3,x)","-\frac{\left(b^{3} x^{3}+3 a \,b^{2} x^{2}+3 a^{2} b x +3 b^{2} x^{2}+a^{3}+6 a b x +3 a^{2}+6 b x +6 a +6\right) {\mathrm e}^{-b x -a}}{b}"," ",0,"-(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+3*b^2*x^2+a^3+6*a*b*x+3*a^2+6*b*x+6*a+6)*exp(-b*x-a)/b","A"
60,1,113,95,0.015000," ","int(exp(-b*x-a)*(b*x+a)^3/x,x)","-a^{3} \Ei \left(1, b x \right) {\mathrm e}^{-a}-a^{2} {\mathrm e}^{-b x -a}+\left(\left(-b x -a \right) {\mathrm e}^{-b x -a}-{\mathrm e}^{-b x -a}\right) a -\left(-b x -a \right)^{2} {\mathrm e}^{-b x -a}+2 \left(-b x -a \right) {\mathrm e}^{-b x -a}-2 \,{\mathrm e}^{-b x -a}"," ",0,"-(-b*x-a)^2*exp(-b*x-a)+2*(-b*x-a)*exp(-b*x-a)-2*exp(-b*x-a)+a*((-b*x-a)*exp(-b*x-a)-exp(-b*x-a))-a^2*exp(-b*x-a)-a^3*exp(-a)*Ei(1,b*x)","A"
61,1,92,88,0.018000," ","int(exp(-b*x-a)*(b*x+a)^3/x^2,x)","\left(-3 a^{2} \Ei \left(1, b x \right) {\mathrm e}^{-a}-\left(-\Ei \left(1, b x \right) {\mathrm e}^{-a}+\frac{{\mathrm e}^{-b x -a}}{b x}\right) a^{3}-2 a \,{\mathrm e}^{-b x -a}+\left(-b x -a \right) {\mathrm e}^{-b x -a}-{\mathrm e}^{-b x -a}\right) b"," ",0,"b*((-b*x-a)*exp(-b*x-a)-exp(-b*x-a)-2*a*exp(-b*x-a)-a^3*(exp(-b*x-a)/b/x-exp(-a)*Ei(1,b*x))-3*a^2*exp(-a)*Ei(1,b*x))","A"
62,1,112,117,0.017000," ","int(exp(-b*x-a)*(b*x+a)^3/x^3,x)","-\left(-\left(-\frac{\Ei \left(1, b x \right) {\mathrm e}^{-a}}{2}+\frac{{\mathrm e}^{-b x -a}}{2 b x}-\frac{{\mathrm e}^{-b x -a}}{2 b^{2} x^{2}}\right) a^{3}+3 a \Ei \left(1, b x \right) {\mathrm e}^{-a}+3 \left(-\Ei \left(1, b x \right) {\mathrm e}^{-a}+\frac{{\mathrm e}^{-b x -a}}{b x}\right) a^{2}+{\mathrm e}^{-b x -a}\right) b^{2}"," ",0,"-b^2*(exp(-b*x-a)+3*a^2*(1/b/x*exp(-b*x-a)-exp(-a)*Ei(1,b*x))+3*a*exp(-a)*Ei(1,b*x)-a^3*(-1/2*exp(-b*x-a)/b^2/x^2+1/2/b/x*exp(-b*x-a)-1/2*exp(-a)*Ei(1,b*x)))","A"
63,1,167,174,0.019000," ","int(exp(-b*x-a)*(b*x+a)^3/x^4,x)","\left(-\left(-\frac{\Ei \left(1, b x \right) {\mathrm e}^{-a}}{6}+\frac{{\mathrm e}^{-b x -a}}{6 b x}-\frac{{\mathrm e}^{-b x -a}}{6 b^{2} x^{2}}+\frac{{\mathrm e}^{-b x -a}}{3 b^{3} x^{3}}\right) a^{3}+3 \left(-\frac{\Ei \left(1, b x \right) {\mathrm e}^{-a}}{2}+\frac{{\mathrm e}^{-b x -a}}{2 b x}-\frac{{\mathrm e}^{-b x -a}}{2 b^{2} x^{2}}\right) a^{2}-\Ei \left(1, b x \right) {\mathrm e}^{-a}-3 \left(-\Ei \left(1, b x \right) {\mathrm e}^{-a}+\frac{{\mathrm e}^{-b x -a}}{b x}\right) a \right) b^{3}"," ",0,"b^3*(-3*a*(1/b/x*exp(-b*x-a)-exp(-a)*Ei(1,b*x))-a^3*(1/3*exp(-b*x-a)/b^3/x^3-1/6/b^2/x^2*exp(-b*x-a)+1/6/b/x*exp(-b*x-a)-1/6*exp(-a)*Ei(1,b*x))-exp(-a)*Ei(1,b*x)+3*a^2*(-1/2/b^2/x^2*exp(-b*x-a)+1/2/b/x*exp(-b*x-a)-1/2*exp(-a)*Ei(1,b*x)))","A"
64,1,433,139,0.121000," ","int(F^(a+b*(d*x+c))*x^m*(f*x+e)^2,x)","-\frac{\left(m \,x^{m} \left(-b d \right)^{m} \left(-b d x \ln \left(F \right)\right)^{-m} \ln \left(F \right)^{m} \Gamma \left(m \right)-m \,x^{m} \left(-b d \right)^{m} \left(-b d x \ln \left(F \right)\right)^{-m} \ln \left(F \right)^{m} \Gamma \left(m , -b d x \ln \left(F \right)\right)-x^{m} \left(-b d \right)^{m} \ln \left(F \right)^{m} {\mathrm e}^{b d x \ln \left(F \right)}\right) e^{2} F^{b c +a} \left(-b d \right)^{-m} \ln \left(F \right)^{-m -1}}{b d}+\frac{2 \left(\left(m +1\right) m \,x^{m} \left(-b d \right)^{m} \left(-b d x \ln \left(F \right)\right)^{-m} \ln \left(F \right)^{m} \Gamma \left(m \right)-\left(m +1\right) m \,x^{m} \left(-b d \right)^{m} \left(-b d x \ln \left(F \right)\right)^{-m} \ln \left(F \right)^{m} \Gamma \left(m , -b d x \ln \left(F \right)\right)+\left(b d x \ln \left(F \right)-m -1\right) x^{m} \left(-b d \right)^{m} \ln \left(F \right)^{m} {\mathrm e}^{b d x \ln \left(F \right)}\right) e f \,F^{b c +a} \left(-b d \right)^{-m} \ln \left(F \right)^{-m -2}}{b^{2} d^{2}}-\frac{\left(\left(m^{2}+3 m +2\right) m \,x^{m} \left(-b d \right)^{m} \left(-b d x \ln \left(F \right)\right)^{-m} \ln \left(F \right)^{m} \Gamma \left(m \right)-\left(m^{2}+3 m +2\right) m \,x^{m} \left(-b d \right)^{m} \left(-b d x \ln \left(F \right)\right)^{-m} \ln \left(F \right)^{m} \Gamma \left(m , -b d x \ln \left(F \right)\right)-\left(b^{2} d^{2} x^{2} \ln \left(F \right)^{2}-b d m x \ln \left(F \right)-2 b d x \ln \left(F \right)+m^{2}+3 m +2\right) x^{m} \left(-b d \right)^{m} \ln \left(F \right)^{m} {\mathrm e}^{b d x \ln \left(F \right)}\right) f^{2} F^{b c +a} \left(-b d \right)^{-m} \ln \left(F \right)^{-m -3}}{b^{3} d^{3}}"," ",0,"-(-b*d)^(-m)*ln(F)^(-3-m)/b^3/d^3*F^(b*c+a)*f^2*(x^m*(-b*d)^m*ln(F)^m*m*(m^2+3*m+2)*GAMMA(m)*(-b*d*x*ln(F))^(-m)-x^m*(-b*d)^m*ln(F)^m*(b^2*d^2*x^2*ln(F)^2-m*b*d*x*ln(F)+m^2-2*b*d*x*ln(F)+3*m+2)*exp(b*d*x*ln(F))-x^m*(-b*d)^m*ln(F)^m*m*(m^2+3*m+2)*(-b*d*x*ln(F))^(-m)*GAMMA(m,-b*d*x*ln(F)))+2*(-b*d)^(-m)*ln(F)^(-m-2)/b^2/d^2*F^(b*c+a)*f*e*(x^m*(-b*d)^m*ln(F)^m*(m+1)*m*GAMMA(m)*(-b*d*x*ln(F))^(-m)+x^m*(-b*d)^m*ln(F)^m*(b*d*x*ln(F)-m-1)*exp(b*d*x*ln(F))-x^m*(-b*d)^m*ln(F)^m*(m+1)*m*(-b*d*x*ln(F))^(-m)*GAMMA(m,-b*d*x*ln(F)))-F^(b*c+a)*(-b*d)^(-m)*ln(F)^(-m-1)*e^2/b/d*(x^m*(-b*d)^m*ln(F)^m*m*GAMMA(m)*(-b*d*x*ln(F))^(-m)-x^m*(-b*d)^m*ln(F)^m*exp(b*d*x*ln(F))-x^m*(-b*d)^m*ln(F)^m*m*(-b*d*x*ln(F))^(-m)*GAMMA(m,-b*d*x*ln(F)))","B"
65,1,250,414,0.011000," ","int(F^(a+b*(d*x+c))*x^3*(f*x+e)^2,x)","\frac{\left(b^{5} d^{5} f^{2} x^{5} \ln \left(F \right)^{5}+2 b^{5} d^{5} e f \,x^{4} \ln \left(F \right)^{5}+b^{5} d^{5} e^{2} x^{3} \ln \left(F \right)^{5}-5 b^{4} d^{4} f^{2} x^{4} \ln \left(F \right)^{4}-8 b^{4} d^{4} e f \,x^{3} \ln \left(F \right)^{4}-3 b^{4} d^{4} e^{2} x^{2} \ln \left(F \right)^{4}+20 b^{3} d^{3} f^{2} x^{3} \ln \left(F \right)^{3}+24 b^{3} d^{3} e f \,x^{2} \ln \left(F \right)^{3}+6 b^{3} d^{3} e^{2} x \ln \left(F \right)^{3}-60 b^{2} d^{2} f^{2} x^{2} \ln \left(F \right)^{2}-48 b^{2} d^{2} e f x \ln \left(F \right)^{2}-6 b^{2} d^{2} e^{2} \ln \left(F \right)^{2}+120 b d \,f^{2} x \ln \left(F \right)+48 b d e f \ln \left(F \right)-120 f^{2}\right) F^{b d x +b c +a}}{b^{6} d^{6} \ln \left(F \right)^{6}}"," ",0,"(f^2*x^5*ln(F)^5*b^5*d^5+2*ln(F)^5*b^5*d^5*e*f*x^4+ln(F)^5*b^5*d^5*e^2*x^3-5*ln(F)^4*b^4*d^4*f^2*x^4-8*ln(F)^4*b^4*d^4*e*f*x^3-3*ln(F)^4*b^4*d^4*e^2*x^2+20*ln(F)^3*b^3*d^3*f^2*x^3+24*ln(F)^3*b^3*d^3*e*f*x^2+6*ln(F)^3*b^3*d^3*e^2*x-60*ln(F)^2*b^2*d^2*f^2*x^2-48*ln(F)^2*b^2*d^2*e*f*x-6*ln(F)^2*b^2*d^2*e^2+120*ln(F)*b*d*f^2*x+48*e*f*ln(F)*b*d-120*f^2)*F^(b*d*x+b*c+a)/ln(F)^6/b^6/d^6","A"
66,1,197,328,0.010000," ","int(F^(a+b*(d*x+c))*x^2*(f*x+e)^2,x)","\frac{\left(b^{4} d^{4} f^{2} x^{4} \ln \left(F \right)^{4}+2 b^{4} d^{4} e f \,x^{3} \ln \left(F \right)^{4}+b^{4} d^{4} e^{2} x^{2} \ln \left(F \right)^{4}-4 b^{3} d^{3} f^{2} x^{3} \ln \left(F \right)^{3}-6 b^{3} d^{3} e f \,x^{2} \ln \left(F \right)^{3}-2 b^{3} d^{3} e^{2} x \ln \left(F \right)^{3}+12 b^{2} d^{2} f^{2} x^{2} \ln \left(F \right)^{2}+12 b^{2} d^{2} e f x \ln \left(F \right)^{2}+2 b^{2} d^{2} e^{2} \ln \left(F \right)^{2}-24 b d \,f^{2} x \ln \left(F \right)-12 b d e f \ln \left(F \right)+24 f^{2}\right) F^{b d x +b c +a}}{b^{5} d^{5} \ln \left(F \right)^{5}}"," ",0,"(b^4*d^4*f^2*x^4*ln(F)^4+2*b^4*d^4*e*f*x^3*ln(F)^4+b^4*d^4*e^2*x^2*ln(F)^4-4*b^3*d^3*f^2*x^3*ln(F)^3-6*b^3*d^3*e*f*x^2*ln(F)^3-2*b^3*d^3*e^2*x*ln(F)^3+12*b^2*d^2*f^2*x^2*ln(F)^2+12*b^2*d^2*e*f*x*ln(F)^2+2*b^2*d^2*e^2*ln(F)^2-24*b*d*f^2*x*ln(F)-12*b*d*e*f*ln(F)+24*f^2)*F^(b*d*x+b*c+a)/ln(F)^5/b^5/d^5","A"
67,1,144,242,0.011000," ","int(F^(a+b*(d*x+c))*x*(f*x+e)^2,x)","\frac{\left(b^{3} d^{3} f^{2} x^{3} \ln \left(F \right)^{3}+2 b^{3} d^{3} e f \,x^{2} \ln \left(F \right)^{3}+b^{3} d^{3} e^{2} x \ln \left(F \right)^{3}-3 b^{2} d^{2} f^{2} x^{2} \ln \left(F \right)^{2}-4 b^{2} d^{2} e f x \ln \left(F \right)^{2}-b^{2} d^{2} e^{2} \ln \left(F \right)^{2}+6 b d \,f^{2} x \ln \left(F \right)+4 b d e f \ln \left(F \right)-6 f^{2}\right) F^{b d x +b c +a}}{b^{4} d^{4} \ln \left(F \right)^{4}}"," ",0,"(b^3*d^3*f^2*x^3*ln(F)^3+2*b^3*d^3*e*f*x^2*ln(F)^3+b^3*d^3*e^2*x*ln(F)^3-3*b^2*d^2*f^2*x^2*ln(F)^2-4*b^2*d^2*e*f*x*ln(F)^2-b^2*d^2*e^2*ln(F)^2+6*b*d*f^2*x*ln(F)+4*b*d*e*f*ln(F)-6*f^2)*F^(b*d*x+b*c+a)/ln(F)^4/b^4/d^4","A"
68,1,93,85,0.008000," ","int(F^(a+b*(d*x+c))*(f*x+e)^2,x)","\frac{\left(b^{2} d^{2} f^{2} x^{2} \ln \left(F \right)^{2}+2 b^{2} d^{2} e f x \ln \left(F \right)^{2}+b^{2} d^{2} e^{2} \ln \left(F \right)^{2}-2 b d \,f^{2} x \ln \left(F \right)-2 b d e f \ln \left(F \right)+2 f^{2}\right) F^{b d x +b c +a}}{b^{3} d^{3} \ln \left(F \right)^{3}}"," ",0,"(b^2*d^2*f^2*x^2*ln(F)^2+2*b^2*d^2*e*f*x*ln(F)^2+b^2*d^2*e^2*ln(F)^2-2*b*d*f^2*x*ln(F)-2*b*d*e*f*ln(F)+2*f^2)*F^(b*d*x+b*c+a)/b^3/d^3/ln(F)^3","A"
69,1,126,96,0.062000," ","int(F^(a+b*(d*x+c))*(f*x+e)^2/x,x)","-e^{2} F^{a} F^{b c} \Ei \left(1, -b d x \ln \left(F \right)+b c \ln \left(F \right)+a \ln \left(F \right)-\left(b c +a \right) \ln \left(F \right)\right)+\frac{f^{2} x \,F^{b d x} F^{b c +a}}{b d \ln \left(F \right)}+\frac{2 e f \,F^{b d x} F^{b c +a}}{b d \ln \left(F \right)}-\frac{f^{2} F^{b d x} F^{b c +a}}{b^{2} d^{2} \ln \left(F \right)^{2}}"," ",0,"-e^2*F^(b*c)*F^a*Ei(1,b*c*ln(F)+ln(F)*a-b*d*x*ln(F)-(b*c+a)*ln(F))+1/d/b/ln(F)*f^2*F^(b*c+a)*F^(b*d*x)*x-1/d^2/b^2/ln(F)^2*f^2*F^(b*d*x)*F^(b*c+a)+2*e/d/b/ln(F)*f*F^(b*d*x)*F^(b*c+a)","A"
70,1,135,85,0.071000," ","int(F^(a+b*(d*x+c))*(f*x+e)^2/x^2,x)","-b d \,e^{2} F^{a} F^{b c} \Ei \left(1, -b d x \ln \left(F \right)+b c \ln \left(F \right)+a \ln \left(F \right)-\left(b c +a \right) \ln \left(F \right)\right) \ln \left(F \right)-2 e f \,F^{a} F^{b c} \Ei \left(1, -b d x \ln \left(F \right)+b c \ln \left(F \right)+a \ln \left(F \right)-\left(b c +a \right) \ln \left(F \right)\right)-\frac{e^{2} F^{b d x} F^{b c +a}}{x}+\frac{f^{2} F^{b d x} F^{b c +a}}{b d \ln \left(F \right)}"," ",0,"-ln(F)*b*d*e^2*F^(b*c)*F^a*Ei(1,-b*d*x*ln(F)+b*c*ln(F)+a*ln(F)-(b*c+a)*ln(F))-2*e*f*F^(b*c)*F^a*Ei(1,-b*d*x*ln(F)+b*c*ln(F)+a*ln(F)-(b*c+a)*ln(F))+1/ln(F)/b/d*f^2*F^(b*d*x)*F^(b*c+a)-e^2*F^(b*d*x)*F^(b*c+a)/x","A"
71,1,204,130,0.076000," ","int(F^(a+b*(d*x+c))*(f*x+e)^2/x^3,x)","-\frac{b^{2} d^{2} e^{2} F^{a} F^{b c} \Ei \left(1, -b d x \ln \left(F \right)+b c \ln \left(F \right)+a \ln \left(F \right)-\left(b c +a \right) \ln \left(F \right)\right) \ln \left(F \right)^{2}}{2}-2 b d e f \,F^{a} F^{b c} \Ei \left(1, -b d x \ln \left(F \right)+b c \ln \left(F \right)+a \ln \left(F \right)-\left(b c +a \right) \ln \left(F \right)\right) \ln \left(F \right)-\frac{b d \,e^{2} F^{b d x} F^{b c +a} \ln \left(F \right)}{2 x}-f^{2} F^{a} F^{b c} \Ei \left(1, -b d x \ln \left(F \right)+b c \ln \left(F \right)+a \ln \left(F \right)-\left(b c +a \right) \ln \left(F \right)\right)-\frac{2 e f \,F^{b d x} F^{b c +a}}{x}-\frac{e^{2} F^{b d x} F^{b c +a}}{2 x^{2}}"," ",0,"-2*e*f*F^(b*d*x)*F^(b*c+a)/x-2*b*d*ln(F)*e*f*F^(b*c)*F^a*Ei(1,-b*d*x*ln(F)+b*c*ln(F)+a*ln(F)-(b*c+a)*ln(F))-1/2*b^2*d^2*ln(F)^2*e^2*F^(b*c)*F^a*Ei(1,-b*d*x*ln(F)+b*c*ln(F)+a*ln(F)-(b*c+a)*ln(F))-f^2*F^(b*c)*F^a*Ei(1,-b*d*x*ln(F)+b*c*ln(F)+a*ln(F)-(b*c+a)*ln(F))-1/2*e^2*F^(b*d*x)*F^(b*c+a)/x^2-1/2*b*d*ln(F)*e^2*F^(b*d*x)*F^(b*c+a)/x","A"
72,1,290,209,0.079000," ","int(F^(a+b*(d*x+c))*(f*x+e)^2/x^4,x)","-\frac{b^{3} d^{3} e^{2} F^{a} F^{b c} \Ei \left(1, -b d x \ln \left(F \right)+b c \ln \left(F \right)+a \ln \left(F \right)-\left(b c +a \right) \ln \left(F \right)\right) \ln \left(F \right)^{3}}{6}-b^{2} d^{2} e f \,F^{a} F^{b c} \Ei \left(1, -b d x \ln \left(F \right)+b c \ln \left(F \right)+a \ln \left(F \right)-\left(b c +a \right) \ln \left(F \right)\right) \ln \left(F \right)^{2}-\frac{b^{2} d^{2} e^{2} F^{b d x} F^{b c +a} \ln \left(F \right)^{2}}{6 x}-b d \,f^{2} F^{a} F^{b c} \Ei \left(1, -b d x \ln \left(F \right)+b c \ln \left(F \right)+a \ln \left(F \right)-\left(b c +a \right) \ln \left(F \right)\right) \ln \left(F \right)-\frac{b d e f \,F^{b d x} F^{b c +a} \ln \left(F \right)}{x}-\frac{b d \,e^{2} F^{b d x} F^{b c +a} \ln \left(F \right)}{6 x^{2}}-\frac{f^{2} F^{b d x} F^{b c +a}}{x}-\frac{e f \,F^{b d x} F^{b c +a}}{x^{2}}-\frac{e^{2} F^{b d x} F^{b c +a}}{3 x^{3}}"," ",0,"-e*f*F^(b*d*x)*F^(b*c+a)/x^2-ln(F)*b*d*e*f*F^(b*d*x)*F^(b*c+a)/x-ln(F)^2*b^2*d^2*e*f*F^(b*c)*F^a*Ei(1,-b*d*x*ln(F)+b*c*ln(F)+a*ln(F)-(b*c+a)*ln(F))-1/6*ln(F)^3*b^3*d^3*e^2*F^(b*c)*F^a*Ei(1,-b*d*x*ln(F)+b*c*ln(F)+a*ln(F)-(b*c+a)*ln(F))-1/3*e^2*F^(b*d*x)*F^(b*c+a)/x^3-1/6*ln(F)*b*d*e^2*F^(b*d*x)*F^(b*c+a)/x^2-1/6*ln(F)^2*b^2*d^2*e^2*F^(b*d*x)*F^(b*c+a)/x-f^2*F^(b*d*x)*F^(b*c+a)/x-ln(F)*b*d*f^2*F^(b*c)*F^a*Ei(1,-b*d*x*ln(F)+b*c*ln(F)+a*ln(F)-(b*c+a)*ln(F))","A"
73,1,382,297,0.086000," ","int(F^(a+b*(d*x+c))*(f*x+e)^2/x^5,x)","-\frac{b^{4} d^{4} e^{2} F^{a} F^{b c} \Ei \left(1, -b d x \ln \left(F \right)+b c \ln \left(F \right)+a \ln \left(F \right)-\left(b c +a \right) \ln \left(F \right)\right) \ln \left(F \right)^{4}}{24}-\frac{b^{3} d^{3} e f \,F^{a} F^{b c} \Ei \left(1, -b d x \ln \left(F \right)+b c \ln \left(F \right)+a \ln \left(F \right)-\left(b c +a \right) \ln \left(F \right)\right) \ln \left(F \right)^{3}}{3}-\frac{b^{3} d^{3} e^{2} F^{b d x} F^{b c +a} \ln \left(F \right)^{3}}{24 x}-\frac{b^{2} d^{2} f^{2} F^{a} F^{b c} \Ei \left(1, -b d x \ln \left(F \right)+b c \ln \left(F \right)+a \ln \left(F \right)-\left(b c +a \right) \ln \left(F \right)\right) \ln \left(F \right)^{2}}{2}-\frac{b^{2} d^{2} e f \,F^{b d x} F^{b c +a} \ln \left(F \right)^{2}}{3 x}-\frac{b^{2} d^{2} e^{2} F^{b d x} F^{b c +a} \ln \left(F \right)^{2}}{24 x^{2}}-\frac{b d \,f^{2} F^{b d x} F^{b c +a} \ln \left(F \right)}{2 x}-\frac{b d e f \,F^{b d x} F^{b c +a} \ln \left(F \right)}{3 x^{2}}-\frac{b d \,e^{2} F^{b d x} F^{b c +a} \ln \left(F \right)}{12 x^{3}}-\frac{f^{2} F^{b d x} F^{b c +a}}{2 x^{2}}-\frac{2 e f \,F^{b d x} F^{b c +a}}{3 x^{3}}-\frac{e^{2} F^{b d x} F^{b c +a}}{4 x^{4}}"," ",0,"-2/3*e*f*F^(b*d*x)*F^(b*c+a)/x^3-1/3*ln(F)*b*d*e*f*F^(b*d*x)*F^(b*c+a)/x^2-1/3*ln(F)^2*b^2*d^2*e*f*F^(b*d*x)*F^(b*c+a)/x-1/3*ln(F)^3*b^3*d^3*e*f*F^(b*c)*F^a*Ei(1,-b*d*x*ln(F)+b*c*ln(F)+a*ln(F)-(b*c+a)*ln(F))-1/24*ln(F)^4*b^4*d^4*e^2*F^(b*c)*F^a*Ei(1,-b*d*x*ln(F)+b*c*ln(F)+a*ln(F)-(b*c+a)*ln(F))-1/2*ln(F)*b*d*f^2*F^(b*d*x)*F^(b*c+a)/x-1/2*ln(F)^2*b^2*d^2*f^2*F^(b*c)*F^a*Ei(1,-b*d*x*ln(F)+b*c*ln(F)+a*ln(F)-(b*c+a)*ln(F))-1/2*f^2*F^(b*d*x)*F^(b*c+a)/x^2-1/4*e^2*F^(b*d*x)*F^(b*c+a)/x^4-1/12*ln(F)*b*d*e^2*F^(b*d*x)*F^(b*c+a)/x^3-1/24*ln(F)^2*b^2*d^2*e^2*F^(b*d*x)*F^(b*c+a)/x^2-1/24*ln(F)^3*b^3*d^3*e^2*F^(b*d*x)*F^(b*c+a)/x","A"
74,1,1062,728,0.009000," ","int(exp(-b*x-a)*(b*x+a)^4*(d*x+c)^3,x)","-\frac{\left(b^{7} d^{3} x^{7}+4 a \,b^{6} d^{3} x^{6}+3 b^{7} c \,d^{2} x^{6}+6 a^{2} b^{5} d^{3} x^{5}+12 a \,b^{6} c \,d^{2} x^{5}+3 b^{7} c^{2} d \,x^{5}+7 b^{6} d^{3} x^{6}+4 a^{3} b^{4} d^{3} x^{4}+18 a^{2} b^{5} c \,d^{2} x^{4}+12 a \,b^{6} c^{2} d \,x^{4}+24 a \,b^{5} d^{3} x^{5}+b^{7} c^{3} x^{4}+18 b^{6} c \,d^{2} x^{5}+a^{4} b^{3} d^{3} x^{3}+12 a^{3} b^{4} c \,d^{2} x^{3}+18 a^{2} b^{5} c^{2} d \,x^{3}+30 a^{2} b^{4} d^{3} x^{4}+4 a \,b^{6} c^{3} x^{3}+60 a \,b^{5} c \,d^{2} x^{4}+15 b^{6} c^{2} d \,x^{4}+42 b^{5} d^{3} x^{5}+3 a^{4} b^{3} c \,d^{2} x^{2}+12 a^{3} b^{4} c^{2} d \,x^{2}+16 a^{3} b^{3} d^{3} x^{3}+6 a^{2} b^{5} c^{3} x^{2}+72 a^{2} b^{4} c \,d^{2} x^{3}+48 a \,b^{5} c^{2} d \,x^{3}+120 a \,b^{4} d^{3} x^{4}+4 b^{6} c^{3} x^{3}+90 b^{5} c \,d^{2} x^{4}+3 a^{4} b^{3} c^{2} d x +3 a^{4} b^{2} d^{3} x^{2}+4 a^{3} b^{4} c^{3} x +36 a^{3} b^{3} c \,d^{2} x^{2}+54 a^{2} b^{4} c^{2} d \,x^{2}+120 a^{2} b^{3} d^{3} x^{3}+12 a \,b^{5} c^{3} x^{2}+240 a \,b^{4} c \,d^{2} x^{3}+60 b^{5} c^{2} d \,x^{3}+210 b^{4} d^{3} x^{4}+c^{3} a^{4} b^{3}+6 a^{4} b^{2} c \,d^{2} x +24 a^{3} b^{3} c^{2} d x +48 a^{3} b^{2} d^{3} x^{2}+12 a^{2} b^{4} c^{3} x +216 a^{2} b^{3} c \,d^{2} x^{2}+144 a \,b^{4} c^{2} d \,x^{2}+480 a \,b^{3} d^{3} x^{3}+12 b^{5} c^{3} x^{2}+360 b^{4} c \,d^{2} x^{3}+3 c^{2} d \,a^{4} b^{2}+6 a^{4} b \,d^{3} x +4 c^{3} a^{3} b^{3}+72 a^{3} b^{2} c \,d^{2} x +108 a^{2} b^{3} c^{2} d x +360 a^{2} b^{2} d^{3} x^{2}+24 a \,b^{4} c^{3} x +720 a \,b^{3} c \,d^{2} x^{2}+180 b^{4} c^{2} d \,x^{2}+840 b^{3} d^{3} x^{3}+6 c \,d^{2} a^{4} b +24 c^{2} d \,a^{3} b^{2}+96 a^{3} b \,d^{3} x +12 c^{3} a^{2} b^{3}+432 a^{2} b^{2} c \,d^{2} x +288 a \,b^{3} c^{2} d x +1440 a \,b^{2} d^{3} x^{2}+24 b^{4} c^{3} x +1080 b^{3} c \,d^{2} x^{2}+6 d^{3} a^{4}+72 c \,d^{2} a^{3} b +108 c^{2} d \,a^{2} b^{2}+720 a^{2} b \,d^{3} x +24 c^{3} a \,b^{3}+1440 a \,b^{2} c \,d^{2} x +360 b^{3} c^{2} d x +2520 b^{2} d^{3} x^{2}+96 a^{3} d^{3}+432 a^{2} b c \,d^{2}+288 a \,b^{2} c^{2} d +2880 a b \,d^{3} x +24 b^{3} c^{3}+2160 b^{2} c \,d^{2} x +720 a^{2} d^{3}+1440 a b c \,d^{2}+360 b^{2} c^{2} d +5040 b \,d^{3} x +2880 a \,d^{3}+2160 b c \,d^{2}+5040 d^{3}\right) {\mathrm e}^{-b x -a}}{b^{4}}"," ",0,"-(b^7*d^3*x^7+4*a*b^6*d^3*x^6+3*b^7*c*d^2*x^6+6*a^2*b^5*d^3*x^5+12*a*b^6*c*d^2*x^5+3*b^7*c^2*d*x^5+7*b^6*d^3*x^6+4*a^3*b^4*d^3*x^4+18*a^2*b^5*c*d^2*x^4+12*a*b^6*c^2*d*x^4+24*a*b^5*d^3*x^5+b^7*c^3*x^4+18*b^6*c*d^2*x^5+a^4*b^3*d^3*x^3+12*a^3*b^4*c*d^2*x^3+18*a^2*b^5*c^2*d*x^3+30*a^2*b^4*d^3*x^4+4*a*b^6*c^3*x^3+60*a*b^5*c*d^2*x^4+15*b^6*c^2*d*x^4+42*b^5*d^3*x^5+3*a^4*b^3*c*d^2*x^2+12*a^3*b^4*c^2*d*x^2+16*a^3*b^3*d^3*x^3+6*a^2*b^5*c^3*x^2+72*a^2*b^4*c*d^2*x^3+48*a*b^5*c^2*d*x^3+120*a*b^4*d^3*x^4+4*b^6*c^3*x^3+90*b^5*c*d^2*x^4+3*a^4*b^3*c^2*d*x+3*a^4*b^2*d^3*x^2+4*a^3*b^4*c^3*x+36*a^3*b^3*c*d^2*x^2+54*a^2*b^4*c^2*d*x^2+120*a^2*b^3*d^3*x^3+12*a*b^5*c^3*x^2+240*a*b^4*c*d^2*x^3+60*b^5*c^2*d*x^3+210*b^4*d^3*x^4+a^4*b^3*c^3+6*a^4*b^2*c*d^2*x+24*a^3*b^3*c^2*d*x+48*a^3*b^2*d^3*x^2+12*a^2*b^4*c^3*x+216*a^2*b^3*c*d^2*x^2+144*a*b^4*c^2*d*x^2+480*a*b^3*d^3*x^3+12*b^5*c^3*x^2+360*b^4*c*d^2*x^3+3*a^4*b^2*c^2*d+6*a^4*b*d^3*x+4*a^3*b^3*c^3+72*a^3*b^2*c*d^2*x+108*a^2*b^3*c^2*d*x+360*a^2*b^2*d^3*x^2+24*a*b^4*c^3*x+720*a*b^3*c*d^2*x^2+180*b^4*c^2*d*x^2+840*b^3*d^3*x^3+6*a^4*b*c*d^2+24*a^3*b^2*c^2*d+96*a^3*b*d^3*x+12*a^2*b^3*c^3+432*a^2*b^2*c*d^2*x+288*a*b^3*c^2*d*x+1440*a*b^2*d^3*x^2+24*b^4*c^3*x+1080*b^3*c*d^2*x^2+6*a^4*d^3+72*a^3*b*c*d^2+108*a^2*b^2*c^2*d+720*a^2*b*d^3*x+24*a*b^3*c^3+1440*a*b^2*c*d^2*x+360*b^3*c^2*d*x+2520*b^2*d^3*x^2+96*a^3*d^3+432*a^2*b*c*d^2+288*a*b^2*c^2*d+2880*a*b*d^3*x+24*b^3*c^3+2160*b^2*c*d^2*x+720*a^2*d^3+1440*a*b*c*d^2+360*b^2*c^2*d+5040*b*d^3*x+2880*a*d^3+2160*b*c*d^2+5040*d^3)*exp(-b*x-a)/b^4","A"
75,1,640,477,0.008000," ","int(exp(-b*x-a)*(b*x+a)^4*(d*x+c)^2,x)","-\frac{\left(d^{2} b^{6} x^{6}+4 a \,b^{5} d^{2} x^{5}+2 b^{6} c d \,x^{5}+6 a^{2} b^{4} d^{2} x^{4}+8 a \,b^{5} c d \,x^{4}+b^{6} c^{2} x^{4}+6 b^{5} d^{2} x^{5}+4 a^{3} b^{3} d^{2} x^{3}+12 a^{2} b^{4} c d \,x^{3}+4 a \,b^{5} c^{2} x^{3}+20 a \,b^{4} d^{2} x^{4}+10 b^{5} c d \,x^{4}+a^{4} b^{2} d^{2} x^{2}+8 a^{3} b^{3} c d \,x^{2}+6 a^{2} b^{4} c^{2} x^{2}+24 a^{2} b^{3} d^{2} x^{3}+32 a \,b^{4} c d \,x^{3}+4 b^{5} c^{2} x^{3}+30 b^{4} d^{2} x^{4}+2 a^{4} b^{2} c d x +4 a^{3} b^{3} c^{2} x +12 a^{3} b^{2} d^{2} x^{2}+36 a^{2} b^{3} c d \,x^{2}+12 a \,b^{4} c^{2} x^{2}+80 a \,b^{3} d^{2} x^{3}+40 b^{4} c d \,x^{3}+c^{2} a^{4} b^{2}+2 a^{4} b \,d^{2} x +16 a^{3} b^{2} c d x +12 a^{2} b^{3} c^{2} x +72 a^{2} b^{2} d^{2} x^{2}+96 a \,b^{3} c d \,x^{2}+12 b^{4} c^{2} x^{2}+120 b^{3} d^{2} x^{3}+2 c d \,a^{4} b +4 c^{2} a^{3} b^{2}+24 a^{3} b \,d^{2} x +72 a^{2} b^{2} c d x +24 a \,b^{3} c^{2} x +240 a \,b^{2} d^{2} x^{2}+120 b^{3} c d \,x^{2}+2 d^{2} a^{4}+16 c d \,a^{3} b +12 a^{2} b^{2} c^{2}+144 a^{2} b \,d^{2} x +192 a \,b^{2} c d x +24 b^{3} c^{2} x +360 b^{2} d^{2} x^{2}+24 a^{3} d^{2}+72 a^{2} b c d +24 a \,b^{2} c^{2}+480 a b \,d^{2} x +240 b^{2} d x c +144 a^{2} d^{2}+192 a b c d +24 b^{2} c^{2}+720 b \,d^{2} x +480 a \,d^{2}+240 b c d +720 d^{2}\right) {\mathrm e}^{-b x -a}}{b^{3}}"," ",0,"-(b^6*d^2*x^6+4*a*b^5*d^2*x^5+2*b^6*c*d*x^5+6*a^2*b^4*d^2*x^4+8*a*b^5*c*d*x^4+b^6*c^2*x^4+6*b^5*d^2*x^5+4*a^3*b^3*d^2*x^3+12*a^2*b^4*c*d*x^3+4*a*b^5*c^2*x^3+20*a*b^4*d^2*x^4+10*b^5*c*d*x^4+a^4*b^2*d^2*x^2+8*a^3*b^3*c*d*x^2+6*a^2*b^4*c^2*x^2+24*a^2*b^3*d^2*x^3+32*a*b^4*c*d*x^3+4*b^5*c^2*x^3+30*b^4*d^2*x^4+2*a^4*b^2*c*d*x+4*a^3*b^3*c^2*x+12*a^3*b^2*d^2*x^2+36*a^2*b^3*c*d*x^2+12*a*b^4*c^2*x^2+80*a*b^3*d^2*x^3+40*b^4*c*d*x^3+a^4*b^2*c^2+2*a^4*b*d^2*x+16*a^3*b^2*c*d*x+12*a^2*b^3*c^2*x+72*a^2*b^2*d^2*x^2+96*a*b^3*c*d*x^2+12*b^4*c^2*x^2+120*b^3*d^2*x^3+2*a^4*b*c*d+4*a^3*b^2*c^2+24*a^3*b*d^2*x+72*a^2*b^2*c*d*x+24*a*b^3*c^2*x+240*a*b^2*d^2*x^2+120*b^3*c*d*x^2+2*a^4*d^2+16*a^3*b*c*d+12*a^2*b^2*c^2+144*a^2*b*d^2*x+192*a*b^2*c*d*x+24*b^3*c^2*x+360*b^2*d^2*x^2+24*a^3*d^2+72*a^2*b*c*d+24*a*b^2*c^2+480*a*b*d^2*x+240*b^2*c*d*x+144*a^2*d^2+192*a*b*c*d+24*b^2*c^2+720*b*d^2*x+480*a*d^2+240*b*c*d+720*d^2)*exp(-b*x-a)/b^3","A"
76,1,297,260,0.006000," ","int(exp(-b*x-a)*(b*x+a)^4*(d*x+c),x)","-\frac{\left(d \,b^{5} x^{5}+4 a \,b^{4} d \,x^{4}+b^{5} c \,x^{4}+6 a^{2} b^{3} d \,x^{3}+4 a \,b^{4} c \,x^{3}+5 b^{4} d \,x^{4}+4 a^{3} b^{2} d \,x^{2}+6 a^{2} b^{3} c \,x^{2}+16 a \,b^{3} d \,x^{3}+4 b^{4} c \,x^{3}+a^{4} b d x +4 a^{3} b^{2} c x +18 a^{2} b^{2} d \,x^{2}+12 a \,b^{3} c \,x^{2}+20 b^{3} d \,x^{3}+c \,a^{4} b +8 a^{3} b d x +12 a^{2} b^{2} c x +48 a \,b^{2} d \,x^{2}+12 b^{3} c \,x^{2}+d \,a^{4}+4 c \,a^{3} b +36 a^{2} b d x +24 a \,b^{2} c x +60 b^{2} d \,x^{2}+8 a^{3} d +12 a^{2} b c +96 a b d x +24 b^{2} c x +36 a^{2} d +24 a b c +120 b d x +96 a d +24 b c +120 d \right) {\mathrm e}^{-b x -a}}{b^{2}}"," ",0,"-(b^5*d*x^5+4*a*b^4*d*x^4+b^5*c*x^4+6*a^2*b^3*d*x^3+4*a*b^4*c*x^3+5*b^4*d*x^4+4*a^3*b^2*d*x^2+6*a^2*b^3*c*x^2+16*a*b^3*d*x^3+4*b^4*c*x^3+a^4*b*d*x+4*a^3*b^2*c*x+18*a^2*b^2*d*x^2+12*a*b^3*c*x^2+20*b^3*d*x^3+a^4*b*c+8*a^3*b*d*x+12*a^2*b^2*c*x+48*a*b^2*d*x^2+12*b^3*c*x^2+a^4*d+4*a^3*b*c+36*a^2*b*d*x+24*a*b^2*c*x+60*b^2*d*x^2+8*a^3*d+12*a^2*b*c+96*a*b*d*x+24*b^2*c*x+36*a^2*d+24*a*b*c+120*b*d*x+96*a*d+24*b*c+120*d)*exp(-b*x-a)/b^2","A"
77,1,108,97,0.006000," ","int(exp(-b*x-a)*(b*x+a)^4,x)","-\frac{\left(b^{4} x^{4}+4 b^{3} x^{3} a +6 a^{2} b^{2} x^{2}+4 b^{3} x^{3}+4 a^{3} b x +12 a \,b^{2} x^{2}+a^{4}+12 a^{2} b x +12 b^{2} x^{2}+4 a^{3}+24 a b x +12 a^{2}+24 b x +24 a +24\right) {\mathrm e}^{-b x -a}}{b}"," ",0,"-(b^4*x^4+4*a*b^3*x^3+6*a^2*b^2*x^2+4*b^3*x^3+4*a^3*b*x+12*a*b^2*x^2+a^4+12*a^2*b*x+12*b^2*x^2+4*a^3+24*a*b*x+12*a^2+24*b*x+24*a+24)*exp(-b*x-a)/b","A"
78,1,489,266,0.019000," ","int(exp(-b*x-a)*(b*x+a)^4/(d*x+c),x)","-\frac{\frac{a^{3} b \,{\mathrm e}^{-b x -a}}{d}-\frac{3 a^{2} b^{2} c \,{\mathrm e}^{-b x -a}}{d^{2}}+\frac{3 a \,b^{3} c^{2} {\mathrm e}^{-b x -a}}{d^{3}}-\frac{b^{4} c^{3} {\mathrm e}^{-b x -a}}{d^{4}}-\frac{\left(\left(-b x -a \right) {\mathrm e}^{-b x -a}-{\mathrm e}^{-b x -a}\right) a^{2} b}{d}+\frac{2 \left(\left(-b x -a \right) {\mathrm e}^{-b x -a}-{\mathrm e}^{-b x -a}\right) a \,b^{2} c}{d^{2}}-\frac{\left(\left(-b x -a \right) {\mathrm e}^{-b x -a}-{\mathrm e}^{-b x -a}\right) b^{3} c^{2}}{d^{3}}+\frac{\left(\left(-b x -a \right)^{2} {\mathrm e}^{-b x -a}-2 \left(-b x -a \right) {\mathrm e}^{-b x -a}+2 \,{\mathrm e}^{-b x -a}\right) a b}{d}-\frac{\left(\left(-b x -a \right)^{2} {\mathrm e}^{-b x -a}-2 \left(-b x -a \right) {\mathrm e}^{-b x -a}+2 \,{\mathrm e}^{-b x -a}\right) b^{2} c}{d^{2}}-\frac{\left(\left(-b x -a \right)^{3} {\mathrm e}^{-b x -a}-3 \left(-b x -a \right)^{2} {\mathrm e}^{-b x -a}+6 \left(-b x -a \right) {\mathrm e}^{-b x -a}-6 \,{\mathrm e}^{-b x -a}\right) b}{d}+\frac{\left(a^{4} d^{4}-4 a^{3} b c \,d^{3}+6 a^{2} b^{2} c^{2} d^{2}-4 a \,b^{3} c^{3} d +b^{4} c^{4}\right) b \Ei \left(1, b x +a -\frac{a d -b c}{d}\right) {\mathrm e}^{-\frac{a d -b c}{d}}}{d^{5}}}{b}"," ",0,"-1/b*(-b/d*((-b*x-a)^3*exp(-b*x-a)-3*(-b*x-a)^2*exp(-b*x-a)+6*(-b*x-a)*exp(-b*x-a)-6*exp(-b*x-a))+1/d*b*a*((-b*x-a)^2*exp(-b*x-a)-2*(-b*x-a)*exp(-b*x-a)+2*exp(-b*x-a))-1/d^2*b^2*c*((-b*x-a)^2*exp(-b*x-a)-2*(-b*x-a)*exp(-b*x-a)+2*exp(-b*x-a))-1/d*b*a^2*((-b*x-a)*exp(-b*x-a)-exp(-b*x-a))+2/d^2*b^2*a*c*((-b*x-a)*exp(-b*x-a)-exp(-b*x-a))-1/d^3*b^3*c^2*((-b*x-a)*exp(-b*x-a)-exp(-b*x-a))+1/d*b*a^3*exp(-b*x-a)-3/d^2*b^2*a^2*c*exp(-b*x-a)+3/d^3*b^3*a*c^2*exp(-b*x-a)-1/d^4*b^4*c^3*exp(-b*x-a)+(a^4*d^4-4*a^3*b*c*d^3+6*a^2*b^2*c^2*d^2-4*a*b^3*c^3*d+b^4*c^4)*b/d^5*exp(-(a*d-b*c)/d)*Ei(1,b*x+a-(a*d-b*c)/d))","A"
79,1,406,249,0.024000," ","int(exp(-b*x-a)*(b*x+a)^4/(d*x+c)^2,x)","-\frac{\frac{3 a^{2} b^{2} {\mathrm e}^{-b x -a}}{d^{2}}-\frac{6 a \,b^{3} c \,{\mathrm e}^{-b x -a}}{d^{3}}+\frac{3 b^{4} c^{2} {\mathrm e}^{-b x -a}}{d^{4}}-\frac{2 \left(\left(-b x -a \right) {\mathrm e}^{-b x -a}-{\mathrm e}^{-b x -a}\right) a \,b^{2}}{d^{2}}+\frac{2 \left(\left(-b x -a \right) {\mathrm e}^{-b x -a}-{\mathrm e}^{-b x -a}\right) b^{3} c}{d^{3}}+\frac{\left(\left(-b x -a \right)^{2} {\mathrm e}^{-b x -a}-2 \left(-b x -a \right) {\mathrm e}^{-b x -a}+2 \,{\mathrm e}^{-b x -a}\right) b^{2}}{d^{2}}+\frac{4 \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) b^{2} \Ei \left(1, b x +a -\frac{a d -b c}{d}\right) {\mathrm e}^{-\frac{a d -b c}{d}}}{d^{5}}+\frac{\left(a^{4} d^{4}-4 a^{3} b c \,d^{3}+6 a^{2} b^{2} c^{2} d^{2}-4 a \,b^{3} c^{3} d +b^{4} c^{4}\right) \left(-\Ei \left(1, b x +a -\frac{a d -b c}{d}\right) {\mathrm e}^{-\frac{a d -b c}{d}}-\frac{{\mathrm e}^{-b x -a}}{-b x -a +\frac{a d -b c}{d}}\right) b^{2}}{d^{6}}}{b}"," ",0,"-1/b*(b^2/d^2*((-b*x-a)^2*exp(-b*x-a)-2*(-b*x-a)*exp(-b*x-a)+2*exp(-b*x-a))-2/d^2*b^2*a*((-b*x-a)*exp(-b*x-a)-exp(-b*x-a))+2/d^3*b^3*c*((-b*x-a)*exp(-b*x-a)-exp(-b*x-a))+3/d^2*b^2*a^2*exp(-b*x-a)-6/d^3*b^3*a*c*exp(-b*x-a)+3/d^4*b^4*c^2*exp(-b*x-a)+(a^4*d^4-4*a^3*b*c*d^3+6*a^2*b^2*c^2*d^2-4*a*b^3*c^3*d+b^4*c^4)*b^2/d^6*(-exp(-b*x-a)/(-b*x-a+(a*d-b*c)/d)-exp(-(a*d-b*c)/d)*Ei(1,b*x+a-(a*d-b*c)/d))+4/d^5*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)*b^2*exp(-(a*d-b*c)/d)*Ei(1,b*x+a-(a*d-b*c)/d))","A"
80,1,418,279,0.024000," ","int(exp(-b*x-a)*(b*x+a)^4/(d*x+c)^3,x)","-\frac{\frac{3 a \,b^{3} {\mathrm e}^{-b x -a}}{d^{3}}-\frac{3 b^{4} c \,{\mathrm e}^{-b x -a}}{d^{4}}-\frac{\left(\left(-b x -a \right) {\mathrm e}^{-b x -a}-{\mathrm e}^{-b x -a}\right) b^{3}}{d^{3}}+\frac{6 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) b^{3} \Ei \left(1, b x +a -\frac{a d -b c}{d}\right) {\mathrm e}^{-\frac{a d -b c}{d}}}{d^{5}}+\frac{4 \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) \left(-\Ei \left(1, b x +a -\frac{a d -b c}{d}\right) {\mathrm e}^{-\frac{a d -b c}{d}}-\frac{{\mathrm e}^{-b x -a}}{-b x -a +\frac{a d -b c}{d}}\right) b^{3}}{d^{6}}-\frac{\left(a^{4} d^{4}-4 a^{3} b c \,d^{3}+6 a^{2} b^{2} c^{2} d^{2}-4 a \,b^{3} c^{3} d +b^{4} c^{4}\right) \left(-\frac{\Ei \left(1, b x +a -\frac{a d -b c}{d}\right) {\mathrm e}^{-\frac{a d -b c}{d}}}{2}-\frac{{\mathrm e}^{-b x -a}}{2 \left(-b x -a +\frac{a d -b c}{d}\right)^{2}}-\frac{{\mathrm e}^{-b x -a}}{2 \left(-b x -a +\frac{a d -b c}{d}\right)}\right) b^{3}}{d^{7}}}{b}"," ",0,"-1/b*(-b^3/d^3*((-b*x-a)*exp(-b*x-a)-exp(-b*x-a))+3/d^3*b^3*a*exp(-b*x-a)-3/d^4*b^4*c*exp(-b*x-a)-(a^4*d^4-4*a^3*b*c*d^3+6*a^2*b^2*c^2*d^2-4*a*b^3*c^3*d+b^4*c^4)*b^3/d^7*(-1/2*exp(-b*x-a)/(-b*x-a+(a*d-b*c)/d)^2-1/2/(-b*x-a+(a*d-b*c)/d)*exp(-b*x-a)-1/2*exp(-(a*d-b*c)/d)*Ei(1,b*x+a-(a*d-b*c)/d))+4/d^6*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)*b^3*(-1/(-b*x-a+(a*d-b*c)/d)*exp(-b*x-a)-exp(-(a*d-b*c)/d)*Ei(1,b*x+a-(a*d-b*c)/d))+6/d^5*(a^2*d^2-2*a*b*c*d+b^2*c^2)*b^3*exp(-(a*d-b*c)/d)*Ei(1,b*x+a-(a*d-b*c)/d))","A"
81,1,511,377,0.023000," ","int(exp(-b*x-a)*(b*x+a)^4/(d*x+c)^4,x)","-\frac{\frac{b^{4} {\mathrm e}^{-b x -a}}{d^{4}}+\frac{4 \left(a d -b c \right) b^{4} \Ei \left(1, b x +a -\frac{a d -b c}{d}\right) {\mathrm e}^{-\frac{a d -b c}{d}}}{d^{5}}+\frac{6 \left(a^{2} d^{2}-2 a b c d +b^{2} c^{2}\right) \left(-\Ei \left(1, b x +a -\frac{a d -b c}{d}\right) {\mathrm e}^{-\frac{a d -b c}{d}}-\frac{{\mathrm e}^{-b x -a}}{-b x -a +\frac{a d -b c}{d}}\right) b^{4}}{d^{6}}-\frac{4 \left(a^{3} d^{3}-3 a^{2} b c \,d^{2}+3 a \,b^{2} c^{2} d -b^{3} c^{3}\right) \left(-\frac{\Ei \left(1, b x +a -\frac{a d -b c}{d}\right) {\mathrm e}^{-\frac{a d -b c}{d}}}{2}-\frac{{\mathrm e}^{-b x -a}}{2 \left(-b x -a +\frac{a d -b c}{d}\right)^{2}}-\frac{{\mathrm e}^{-b x -a}}{2 \left(-b x -a +\frac{a d -b c}{d}\right)}\right) b^{4}}{d^{7}}+\frac{\left(a^{4} d^{4}-4 a^{3} b c \,d^{3}+6 a^{2} b^{2} c^{2} d^{2}-4 a \,b^{3} c^{3} d +b^{4} c^{4}\right) \left(-\frac{\Ei \left(1, b x +a -\frac{a d -b c}{d}\right) {\mathrm e}^{-\frac{a d -b c}{d}}}{6}-\frac{{\mathrm e}^{-b x -a}}{3 \left(-b x -a +\frac{a d -b c}{d}\right)^{3}}-\frac{{\mathrm e}^{-b x -a}}{6 \left(-b x -a +\frac{a d -b c}{d}\right)^{2}}-\frac{{\mathrm e}^{-b x -a}}{6 \left(-b x -a +\frac{a d -b c}{d}\right)}\right) b^{4}}{d^{8}}}{b}"," ",0,"-1/b*(b^4/d^4*exp(-b*x-a)-4/d^7*(a^3*d^3-3*a^2*b*c*d^2+3*a*b^2*c^2*d-b^3*c^3)*b^4*(-1/2/(-b*x-a+(a*d-b*c)/d)^2*exp(-b*x-a)-1/2/(-b*x-a+(a*d-b*c)/d)*exp(-b*x-a)-1/2*exp(-(a*d-b*c)/d)*Ei(1,b*x+a-(a*d-b*c)/d))+6/d^6*(a^2*d^2-2*a*b*c*d+b^2*c^2)*b^4*(-1/(-b*x-a+(a*d-b*c)/d)*exp(-b*x-a)-exp(-(a*d-b*c)/d)*Ei(1,b*x+a-(a*d-b*c)/d))+(a^4*d^4-4*a^3*b*c*d^3+6*a^2*b^2*c^2*d^2-4*a*b^3*c^3*d+b^4*c^4)*b^4/d^8*(-1/3*exp(-b*x-a)/(-b*x-a+(a*d-b*c)/d)^3-1/6/(-b*x-a+(a*d-b*c)/d)^2*exp(-b*x-a)-1/6/(-b*x-a+(a*d-b*c)/d)*exp(-b*x-a)-1/6*exp(-(a*d-b*c)/d)*Ei(1,b*x+a-(a*d-b*c)/d))+4/d^5*(a*d-b*c)*b^4*exp(-(a*d-b*c)/d)*Ei(1,b*x+a-(a*d-b*c)/d))","A"
82,1,596,524,0.024000," ","int(exp(-b*x-a)*(b*x+a)^4/(d*x+c)^5,x)","-\frac{\frac{b^{5} \Ei \left(1, b x +a -\frac{a d -b c}{d}\right) {\mathrm e}^{-\frac{a d -b c}{d}}}{d^{5}}+\frac{4 \left(a d -b c \right) \left(-\Ei \left(1, b x +a -\frac{a d -b c}{d}\right) {\mathrm e}^{-\frac{a d -b c}{d}}-\frac{{\mathrm e}^{-b x -a}}{-b x -a +\frac{a d -b c}{d}}\right) b^{5}}{d^{6}}-\frac{6 \left(a d -b c \right)^{2} \left(-\frac{\Ei \left(1, b x +a -\frac{a d -b c}{d}\right) {\mathrm e}^{-\frac{a d -b c}{d}}}{2}-\frac{{\mathrm e}^{-b x -a}}{2 \left(-b x -a +\frac{a d -b c}{d}\right)^{2}}-\frac{{\mathrm e}^{-b x -a}}{2 \left(-b x -a +\frac{a d -b c}{d}\right)}\right) b^{5}}{d^{7}}+\frac{4 \left(a d -b c \right)^{3} \left(-\frac{\Ei \left(1, b x +a -\frac{a d -b c}{d}\right) {\mathrm e}^{-\frac{a d -b c}{d}}}{6}-\frac{{\mathrm e}^{-b x -a}}{3 \left(-b x -a +\frac{a d -b c}{d}\right)^{3}}-\frac{{\mathrm e}^{-b x -a}}{6 \left(-b x -a +\frac{a d -b c}{d}\right)^{2}}-\frac{{\mathrm e}^{-b x -a}}{6 \left(-b x -a +\frac{a d -b c}{d}\right)}\right) b^{5}}{d^{8}}-\frac{\left(a d -b c \right)^{4} \left(-\frac{\Ei \left(1, b x +a -\frac{a d -b c}{d}\right) {\mathrm e}^{-\frac{a d -b c}{d}}}{24}-\frac{{\mathrm e}^{-b x -a}}{4 \left(-b x -a +\frac{a d -b c}{d}\right)^{4}}-\frac{{\mathrm e}^{-b x -a}}{12 \left(-b x -a +\frac{a d -b c}{d}\right)^{3}}-\frac{{\mathrm e}^{-b x -a}}{24 \left(-b x -a +\frac{a d -b c}{d}\right)^{2}}-\frac{{\mathrm e}^{-b x -a}}{24 \left(-b x -a +\frac{a d -b c}{d}\right)}\right) b^{5}}{d^{9}}}{b}"," ",0,"-1/b*(-6*b^5*(a*d-b*c)^2/d^7*(-1/2/(-b*x-a+(a*d-b*c)/d)^2*exp(-b*x-a)-1/2/(-b*x-a+(a*d-b*c)/d)*exp(-b*x-a)-1/2*exp(-(a*d-b*c)/d)*Ei(1,b*x+a-(a*d-b*c)/d))+4*b^5*(a*d-b*c)/d^6*(-1/(-b*x-a+(a*d-b*c)/d)*exp(-b*x-a)-exp(-(a*d-b*c)/d)*Ei(1,b*x+a-(a*d-b*c)/d))-b^5*(a*d-b*c)^4/d^9*(-1/4*exp(-b*x-a)/(-b*x-a+(a*d-b*c)/d)^4-1/12/(-b*x-a+(a*d-b*c)/d)^3*exp(-b*x-a)-1/24/(-b*x-a+(a*d-b*c)/d)^2*exp(-b*x-a)-1/24/(-b*x-a+(a*d-b*c)/d)*exp(-b*x-a)-1/24*exp(-(a*d-b*c)/d)*Ei(1,b*x+a-(a*d-b*c)/d))+4*b^5*(a*d-b*c)^3/d^8*(-1/3/(-b*x-a+(a*d-b*c)/d)^3*exp(-b*x-a)-1/6/(-b*x-a+(a*d-b*c)/d)^2*exp(-b*x-a)-1/6/(-b*x-a+(a*d-b*c)/d)*exp(-b*x-a)-1/6*exp(-(a*d-b*c)/d)*Ei(1,b*x+a-(a*d-b*c)/d))+b^5/d^5*exp(-(a*d-b*c)/d)*Ei(1,b*x+a-(a*d-b*c)/d))","A"
83,1,192,24,0.315000," ","int(F^((b*x+a)*c)*x^m*ln(d*x)^n*(e+e*n+e*(1+m+b*c*x*ln(F))*ln(d*x)),x)","\frac{\left(-i \pi  e x \,F^{\left(b x +a \right) c} \mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)+i \pi  e x \,F^{\left(b x +a \right) c} \mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i d x \right)^{2}+i \pi  e x \,F^{\left(b x +a \right) c} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)^{2}-i \pi  e x \,F^{\left(b x +a \right) c} \mathrm{csgn}\left(i d x \right)^{3}+2 e x \,F^{\left(b x +a \right) c} \ln \left(d \right)+2 e x \,F^{\left(b x +a \right) c} \ln \left(x \right)\right) x^{m} \left(-\frac{i \pi  \left(\mathrm{csgn}\left(i d \right)-\mathrm{csgn}\left(i d x \right)\right) \left(\mathrm{csgn}\left(i x \right)-\mathrm{csgn}\left(i d x \right)\right) \mathrm{csgn}\left(i d x \right)}{2}+\ln \left(d \right)+\ln \left(x \right)\right)^{n}}{2}"," ",0,"1/2*(2*e*x*F^((b*x+a)*c)*ln(x)-I*x*F^((b*x+a)*c)*e*Pi*csgn(I*d*x)^3-I*x*F^((b*x+a)*c)*e*Pi*csgn(I*d)*csgn(I*d*x)*csgn(I*x)+2*x*F^((b*x+a)*c)*e*ln(d)+I*x*F^((b*x+a)*c)*e*Pi*csgn(I*d)*csgn(I*d*x)^2+I*x*F^((b*x+a)*c)*e*Pi*csgn(I*d*x)^2*csgn(I*x))*x^m*(ln(d)+ln(x)-1/2*I*Pi*csgn(I*d*x)*(-csgn(I*d*x)+csgn(I*d))*(-csgn(I*d*x)+csgn(I*x)))^n","C"
84,1,198,22,0.213000," ","int(F^((b*x+a)*c)*x^2*ln(d*x)^n*(e+e*n+e*(3+b*c*x*ln(F))*ln(d*x)),x)","\left(-\frac{i \pi  e \,x^{3} F^{\left(b x +a \right) c} \mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)}{2}+\frac{i \pi  e \,x^{3} F^{\left(b x +a \right) c} \mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i d x \right)^{2}}{2}+\frac{i \pi  e \,x^{3} F^{\left(b x +a \right) c} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)^{2}}{2}-\frac{i \pi  e \,x^{3} F^{\left(b x +a \right) c} \mathrm{csgn}\left(i d x \right)^{3}}{2}+e \,x^{3} F^{\left(b x +a \right) c} \ln \left(d \right)+e \,x^{3} F^{\left(b x +a \right) c} \ln \left(x \right)\right) \left(-\frac{i \pi  \left(\mathrm{csgn}\left(i d \right)-\mathrm{csgn}\left(i d x \right)\right) \left(\mathrm{csgn}\left(i x \right)-\mathrm{csgn}\left(i d x \right)\right) \mathrm{csgn}\left(i d x \right)}{2}+\ln \left(d \right)+\ln \left(x \right)\right)^{n}"," ",0,"(1/2*I*Pi*e*x^3*csgn(I*d)*csgn(I*d*x)^2*F^((b*x+a)*c)-1/2*I*Pi*e*x^3*csgn(I*d)*csgn(I*d*x)*csgn(I*x)*F^((b*x+a)*c)-1/2*I*Pi*e*x^3*csgn(I*d*x)^3*F^((b*x+a)*c)+1/2*I*Pi*e*x^3*csgn(I*d*x)^2*csgn(I*x)*F^((b*x+a)*c)+ln(d)*e*x^3*F^((b*x+a)*c)+e*x^3*F^((b*x+a)*c)*ln(x))*(-1/2*I*Pi*(csgn(I*d)-csgn(I*d*x))*(csgn(I*x)-csgn(I*d*x))*csgn(I*d*x)+ln(d)+ln(x))^n","C"
85,1,198,22,0.210000," ","int(F^((b*x+a)*c)*x*ln(d*x)^n*(e+e*n+e*(2+b*c*x*ln(F))*ln(d*x)),x)","\left(-\frac{i \pi  e \,x^{2} F^{\left(b x +a \right) c} \mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)}{2}+\frac{i \pi  e \,x^{2} F^{\left(b x +a \right) c} \mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i d x \right)^{2}}{2}+\frac{i \pi  e \,x^{2} F^{\left(b x +a \right) c} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)^{2}}{2}-\frac{i \pi  e \,x^{2} F^{\left(b x +a \right) c} \mathrm{csgn}\left(i d x \right)^{3}}{2}+e \,x^{2} F^{\left(b x +a \right) c} \ln \left(d \right)+e \,x^{2} F^{\left(b x +a \right) c} \ln \left(x \right)\right) \left(-\frac{i \pi  \left(\mathrm{csgn}\left(i d \right)-\mathrm{csgn}\left(i d x \right)\right) \left(\mathrm{csgn}\left(i x \right)-\mathrm{csgn}\left(i d x \right)\right) \mathrm{csgn}\left(i d x \right)}{2}+\ln \left(d \right)+\ln \left(x \right)\right)^{n}"," ",0,"(1/2*I*Pi*e*x^2*csgn(I*d)*csgn(I*d*x)^2*F^((b*x+a)*c)-1/2*I*Pi*e*x^2*csgn(I*d)*csgn(I*d*x)*csgn(I*x)*F^((b*x+a)*c)-1/2*I*Pi*e*x^2*csgn(I*d*x)^3*F^((b*x+a)*c)+1/2*I*Pi*e*x^2*csgn(I*d*x)^2*csgn(I*x)*F^((b*x+a)*c)+ln(d)*e*x^2*F^((b*x+a)*c)+e*x^2*F^((b*x+a)*c)*ln(x))*(-1/2*I*Pi*(csgn(I*d)-csgn(I*d*x))*(csgn(I*x)-csgn(I*d*x))*csgn(I*d*x)+ln(d)+ln(x))^n","C"
86,1,186,20,0.236000," ","int(F^((b*x+a)*c)*ln(d*x)^n*(e+e*n+e*(1+b*c*x*ln(F))*ln(d*x)),x)","\left(-\frac{i \pi  e x \,F^{\left(b x +a \right) c} \mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)}{2}+\frac{i \pi  e x \,F^{\left(b x +a \right) c} \mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i d x \right)^{2}}{2}+\frac{i \pi  e x \,F^{\left(b x +a \right) c} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)^{2}}{2}-\frac{i \pi  e x \,F^{\left(b x +a \right) c} \mathrm{csgn}\left(i d x \right)^{3}}{2}+e x \,F^{\left(b x +a \right) c} \ln \left(d \right)+e x \,F^{\left(b x +a \right) c} \ln \left(x \right)\right) \left(-\frac{i \pi  \left(\mathrm{csgn}\left(i d \right)-\mathrm{csgn}\left(i d x \right)\right) \left(\mathrm{csgn}\left(i x \right)-\mathrm{csgn}\left(i d x \right)\right) \mathrm{csgn}\left(i d x \right)}{2}+\ln \left(d \right)+\ln \left(x \right)\right)^{n}"," ",0,"(1/2*I*x*F^((b*x+a)*c)*e*Pi*csgn(I*d)*csgn(I*d*x)^2-1/2*I*Pi*e*x*csgn(I*d)*csgn(I*d*x)*csgn(I*x)*F^((b*x+a)*c)-1/2*I*x*F^((b*x+a)*c)*e*Pi*csgn(I*d*x)^3+1/2*I*Pi*e*x*csgn(I*d*x)^2*csgn(I*x)*F^((b*x+a)*c)+e*x*F^((b*x+a)*c)*ln(d)+e*x*F^((b*x+a)*c)*ln(x))*(-1/2*I*Pi*(csgn(I*d)-csgn(I*d*x))*(csgn(I*x)-csgn(I*d*x))*csgn(I*d*x)+ln(d)+ln(x))^n","C"
87,1,180,19,0.202000," ","int(F^((b*x+a)*c)*ln(d*x)^n*(e+e*n+b*c*e*x*ln(F)*ln(d*x))/x,x)","\left(-\frac{i \pi  e \,F^{\left(b x +a \right) c} \mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)}{2}+\frac{i \pi  e \,F^{\left(b x +a \right) c} \mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i d x \right)^{2}}{2}+\frac{i \pi  e \,F^{\left(b x +a \right) c} \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)^{2}}{2}-\frac{i \pi  e \,F^{\left(b x +a \right) c} \mathrm{csgn}\left(i d x \right)^{3}}{2}+e \,F^{\left(b x +a \right) c} \ln \left(d \right)+e \,F^{\left(b x +a \right) c} \ln \left(x \right)\right) \left(-\frac{i \pi  \left(\mathrm{csgn}\left(i d \right)-\mathrm{csgn}\left(i d x \right)\right) \left(\mathrm{csgn}\left(i x \right)-\mathrm{csgn}\left(i d x \right)\right) \mathrm{csgn}\left(i d x \right)}{2}+\ln \left(d \right)+\ln \left(x \right)\right)^{n}"," ",0,"(1/2*I*Pi*e*csgn(I*d)*csgn(I*d*x)^2*F^((b*x+a)*c)-1/2*I*Pi*e*csgn(I*d)*csgn(I*d*x)*csgn(I*x)*F^((b*x+a)*c)-1/2*I*Pi*e*csgn(I*d*x)^3*F^((b*x+a)*c)+1/2*I*Pi*e*csgn(I*d*x)^2*csgn(I*x)*F^((b*x+a)*c)+ln(d)*e*F^((b*x+a)*c)+e*F^((b*x+a)*c)*ln(x))*(-1/2*I*Pi*(csgn(I*d)-csgn(I*d*x))*(csgn(I*x)-csgn(I*d*x))*csgn(I*d*x)+ln(d)+ln(x))^n","C"
88,1,136,22,0.224000," ","int(F^((b*x+a)*c)*ln(d*x)^n*(e+e*n+e*(-1+b*c*x*ln(F))*ln(d*x))/x^2,x)","\frac{\left(-i \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)+i \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i d x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)^{2}-i \pi  \mathrm{csgn}\left(i d x \right)^{3}+2 \ln \left(d \right)+2 \ln \left(x \right)\right) e \,F^{\left(b x +a \right) c} \left(-\frac{i \pi  \left(\mathrm{csgn}\left(i d \right)-\mathrm{csgn}\left(i d x \right)\right) \left(\mathrm{csgn}\left(i x \right)-\mathrm{csgn}\left(i d x \right)\right) \mathrm{csgn}\left(i d x \right)}{2}+\ln \left(d \right)+\ln \left(x \right)\right)^{n}}{2 x}"," ",0,"1/2*F^((b*x+a)*c)*e*(2*ln(d)+2*ln(x)+I*Pi*csgn(I*d)*csgn(I*d*x)^2-I*Pi*csgn(I*d)*csgn(I*d*x)*csgn(I*x)-I*Pi*csgn(I*d*x)^3+I*Pi*csgn(I*d*x)^2*csgn(I*x))/x*(-1/2*I*Pi*(csgn(I*d)-csgn(I*d*x))*(csgn(I*x)-csgn(I*d*x))*csgn(I*d*x)+ln(d)+ln(x))^n","C"
89,1,136,22,0.226000," ","int(F^((b*x+a)*c)*ln(d*x)^n*(e+e*n+e*(-2+b*c*x*ln(F))*ln(d*x))/x^3,x)","\frac{\left(-i \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)+i \pi  \,\mathrm{csgn}\left(i d \right) \mathrm{csgn}\left(i d x \right)^{2}+i \pi  \,\mathrm{csgn}\left(i x \right) \mathrm{csgn}\left(i d x \right)^{2}-i \pi  \mathrm{csgn}\left(i d x \right)^{3}+2 \ln \left(d \right)+2 \ln \left(x \right)\right) e \,F^{\left(b x +a \right) c} \left(-\frac{i \pi  \left(\mathrm{csgn}\left(i d \right)-\mathrm{csgn}\left(i d x \right)\right) \left(\mathrm{csgn}\left(i x \right)-\mathrm{csgn}\left(i d x \right)\right) \mathrm{csgn}\left(i d x \right)}{2}+\ln \left(d \right)+\ln \left(x \right)\right)^{n}}{2 x^{2}}"," ",0,"1/2*F^((b*x+a)*c)*e*(-I*Pi*csgn(I*d)*csgn(I*x)*csgn(I*d*x)+I*Pi*csgn(I*d)*csgn(I*d*x)^2+I*Pi*csgn(I*x)*csgn(I*d*x)^2-I*Pi*csgn(I*d*x)^3+2*ln(d)+2*ln(x))/x^2*(-1/2*I*Pi*(csgn(I*d)-csgn(I*d*x))*(csgn(I*x)-csgn(I*d*x))*csgn(I*d*x)+ln(d)+ln(x))^n","C"
90,1,43,76,0.005000," ","int(x^4*exp(b*x+a)^(1/2),x)","\frac{2 \left(x^{4} b^{4}-8 b^{3} x^{3}+48 b^{2} x^{2}-192 b x +384\right) \sqrt{{\mathrm e}^{b x +a}}}{b^{5}}"," ",0,"2*(b^4*x^4-8*b^3*x^3+48*b^2*x^2-192*b*x+384)*exp(b*x+a)^(1/2)/b^5","A"
91,1,35,60,0.004000," ","int(x^3*exp(b*x+a)^(1/2),x)","\frac{2 \left(b^{3} x^{3}-6 b^{2} x^{2}+24 b x -48\right) \sqrt{{\mathrm e}^{b x +a}}}{b^{4}}"," ",0,"2*(b^3*x^3-6*b^2*x^2+24*b*x-48)*exp(b*x+a)^(1/2)/b^4","A"
92,1,27,44,0.002000," ","int(x^2*exp(b*x+a)^(1/2),x)","\frac{2 \left(b^{2} x^{2}-4 b x +8\right) \sqrt{{\mathrm e}^{b x +a}}}{b^{3}}"," ",0,"2*(b^2*x^2-4*b*x+8)*exp(b*x+a)^(1/2)/b^3","A"
93,1,19,28,0.004000," ","int(x*exp(b*x+a)^(1/2),x)","\frac{2 \left(b x -2\right) \sqrt{{\mathrm e}^{b x +a}}}{b^{2}}"," ",0,"2*(b*x-2)*exp(b*x+a)^(1/2)/b^2","A"
94,1,14,13,0.003000," ","int(exp(b*x+a)^(1/2),x)","\frac{2 \sqrt{{\mathrm e}^{b x +a}}}{b}"," ",0,"2*exp(b*x+a)^(1/2)/b","A"
95,1,57,21,0.056000," ","int(exp(b*x+a)^(1/2)/x,x)","\left(-\Ei \left(1, -\frac{b x \,{\mathrm e}^{\frac{a}{2}}}{2}\right)+\ln \left(x \right)+\ln \left(-b \,{\mathrm e}^{\frac{a}{2}}\right)-\ln \left(-\frac{b x \,{\mathrm e}^{\frac{a}{2}}}{2}\right)-\ln \left(2\right)\right) {\mathrm e}^{-\frac{b x \,{\mathrm e}^{\frac{a}{2}}}{2}} \sqrt{{\mathrm e}^{b x +a}}"," ",0,"exp(b*x+a)^(1/2)*exp(-1/2*b*x*exp(1/2*a))*(-ln(-1/2*b*x*exp(1/2*a))-Ei(1,-1/2*b*x*exp(1/2*a))+ln(x)-ln(2)+ln(-b*exp(1/2*a)))","B"
96,1,116,37,0.041000," ","int(exp(b*x+a)^(1/2)/x^2,x)","-\frac{\left(\Ei \left(1, -\frac{b x \,{\mathrm e}^{\frac{a}{2}}}{2}\right)-\ln \left(x \right)-\ln \left(-b \,{\mathrm e}^{\frac{a}{2}}\right)+\ln \left(-\frac{b x \,{\mathrm e}^{\frac{a}{2}}}{2}\right)-\frac{\left(b x \,{\mathrm e}^{\frac{a}{2}}+2\right) {\mathrm e}^{-\frac{a}{2}}}{b x}+\frac{2 \,{\mathrm e}^{-\frac{a}{2}}}{b x}+\frac{2 \,{\mathrm e}^{\frac{b x \,{\mathrm e}^{\frac{a}{2}}}{2}-\frac{a}{2}}}{b x}+1+\ln \left(2\right)\right) b \,{\mathrm e}^{-\frac{b x \,{\mathrm e}^{\frac{a}{2}}}{2}+\frac{a}{2}} \sqrt{{\mathrm e}^{b x +a}}}{2}"," ",0,"-1/2*exp(b*x+a)^(1/2)*exp(1/2*a-1/2*b*x*exp(1/2*a))*b*(-1/b/x*exp(-1/2*a)*(2+b*x*exp(1/2*a))+2/b/x*exp(-1/2*a+1/2*b*x*exp(1/2*a))+ln(-1/2*b*x*exp(1/2*a))+Ei(1,-1/2*b*x*exp(1/2*a))+1-ln(x)+ln(2)-ln(-b*exp(1/2*a))+2/x/b*exp(-1/2*a))","B"
97,1,155,53,0.048000," ","int(exp(b*x+a)^(1/2)/x^3,x)","\frac{\left(-\frac{\Ei \left(1, -\frac{b x \,{\mathrm e}^{\frac{a}{2}}}{2}\right)}{2}+\frac{\ln \left(x \right)}{2}+\frac{\ln \left(-b \,{\mathrm e}^{\frac{a}{2}}\right)}{2}-\frac{\ln \left(-\frac{b x \,{\mathrm e}^{\frac{a}{2}}}{2}\right)}{2}-\frac{2 \,{\mathrm e}^{-\frac{a}{2}}}{b x}+\frac{\left(\frac{9 b^{2} x^{2} {\mathrm e}^{a}}{4}+6 b x \,{\mathrm e}^{\frac{a}{2}}+6\right) {\mathrm e}^{-a}}{3 b^{2} x^{2}}-\frac{2 \,{\mathrm e}^{-a}}{b^{2} x^{2}}-\frac{2 \left(\frac{3 b x \,{\mathrm e}^{\frac{a}{2}}}{2}+3\right) {\mathrm e}^{\frac{b x \,{\mathrm e}^{\frac{a}{2}}}{2}-a}}{3 b^{2} x^{2}}-\frac{3}{4}-\frac{\ln \left(2\right)}{2}\right) b^{2} {\mathrm e}^{-\frac{b x \,{\mathrm e}^{\frac{a}{2}}}{2}+a} \sqrt{{\mathrm e}^{b x +a}}}{4}"," ",0,"1/4*exp(b*x+a)^(1/2)*exp(a-1/2*b*x*exp(1/2*a))*b^2*(1/3/b^2/x^2*exp(-a)*(9/4*b^2*x^2*exp(a)+6*b*x*exp(1/2*a)+6)-2/3/b^2/x^2*exp(-a+1/2*b*x*exp(1/2*a))*(3/2*b*x*exp(1/2*a)+3)-1/2*ln(-1/2*b*x*exp(1/2*a))-1/2*Ei(1,-1/2*b*x*exp(1/2*a))-3/4+1/2*ln(x)-1/2*ln(2)+1/2*ln(-b*exp(1/2*a))-2/x^2/b^2*exp(-a)-2/b/x*exp(-1/2*a))","B"
98,1,189,69,0.050000," ","int(exp(b*x+a)^(1/2)/x^4,x)","-\frac{\left(\frac{\Ei \left(1, -\frac{b x \,{\mathrm e}^{\frac{a}{2}}}{2}\right)}{6}-\frac{\ln \left(x \right)}{6}-\frac{\ln \left(-b \,{\mathrm e}^{\frac{a}{2}}\right)}{6}+\frac{\ln \left(-\frac{b x \,{\mathrm e}^{\frac{a}{2}}}{2}\right)}{6}+\frac{{\mathrm e}^{-\frac{a}{2}}}{b x}+\frac{2 \,{\mathrm e}^{-a}}{b^{2} x^{2}}-\frac{\left(\frac{11 b^{3} x^{3} {\mathrm e}^{\frac{3 a}{2}}}{4}+9 b^{2} x^{2} {\mathrm e}^{a}+18 b x \,{\mathrm e}^{\frac{a}{2}}+24\right) {\mathrm e}^{-\frac{3 a}{2}}}{9 b^{3} x^{3}}+\frac{8 \,{\mathrm e}^{-\frac{3 a}{2}}}{3 b^{3} x^{3}}+\frac{\left(b^{2} x^{2} {\mathrm e}^{a}+2 b x \,{\mathrm e}^{\frac{a}{2}}+8\right) {\mathrm e}^{\frac{b x \,{\mathrm e}^{\frac{a}{2}}}{2}-\frac{3 a}{2}}}{3 b^{3} x^{3}}+\frac{11}{36}+\frac{\ln \left(2\right)}{6}\right) b^{3} {\mathrm e}^{-\frac{b x \,{\mathrm e}^{\frac{a}{2}}}{2}+\frac{3 a}{2}} \sqrt{{\mathrm e}^{b x +a}}}{8}"," ",0,"-1/8*exp(b*x+a)^(1/2)*exp(3/2*a-1/2*b*x*exp(1/2*a))*b^3*(-1/9/b^3/x^3*exp(-3/2*a)*(11/4*b^3*x^3*exp(3/2*a)+9*b^2*x^2*exp(a)+18*b*x*exp(1/2*a)+24)+1/3/b^3/x^3*exp(-3/2*a+1/2*b*x*exp(1/2*a))*(b^2*x^2*exp(a)+2*b*x*exp(1/2*a)+8)+1/6*ln(-1/2*b*x*exp(1/2*a))+1/6*Ei(1,-1/2*b*x*exp(1/2*a))+11/36-1/6*ln(x)+1/6*ln(2)-1/6*ln(-b*exp(1/2*a))+8/3/x^3/b^3*exp(-3/2*a)+2/b^2/x^2*exp(-a)+1/b/x*exp(-1/2*a))","B"