1,1,67,0,0.0399163,"\int F^{c (a+b x)} (d+e x)^m \, dx","Int[F^(c*(a + b*x))*(d + e*x)^m,x]","\frac{(d+e x)^m F^{c \left(a-\frac{b d}{e}\right)} \left(-\frac{b c \log (F) (d+e x)}{e}\right)^{-m} \text{Gamma}\left(m+1,-\frac{b c \log (F) (d+e x)}{e}\right)}{b c \log (F)}","\frac{(d+e x)^m F^{c \left(a-\frac{b d}{e}\right)} \left(-\frac{b c \log (F) (d+e x)}{e}\right)^{-m} \text{Gamma}\left(m+1,-\frac{b c \log (F) (d+e x)}{e}\right)}{b c \log (F)}",1,"(F^(c*(a - (b*d)/e))*(d + e*x)^m*Gamma[1 + m, -((b*c*(d + e*x)*Log[F])/e)])/(b*c*Log[F]*(-((b*c*(d + e*x)*Log[F])/e))^m)","A",1,1,17,0.05882,1,"{2181}"
2,1,141,0,0.108315,"\int F^{c (a+b x)} (d+e x)^4 \, dx","Int[F^(c*(a + b*x))*(d + e*x)^4,x]","\frac{12 e^2 (d+e x)^2 F^{c (a+b x)}}{b^3 c^3 \log ^3(F)}-\frac{24 e^3 (d+e x) F^{c (a+b x)}}{b^4 c^4 \log ^4(F)}-\frac{4 e (d+e x)^3 F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}+\frac{24 e^4 F^{c (a+b x)}}{b^5 c^5 \log ^5(F)}+\frac{(d+e x)^4 F^{c (a+b x)}}{b c \log (F)}","\frac{12 e^2 (d+e x)^2 F^{c (a+b x)}}{b^3 c^3 \log ^3(F)}-\frac{24 e^3 (d+e x) F^{c (a+b x)}}{b^4 c^4 \log ^4(F)}-\frac{4 e (d+e x)^3 F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}+\frac{24 e^4 F^{c (a+b x)}}{b^5 c^5 \log ^5(F)}+\frac{(d+e x)^4 F^{c (a+b x)}}{b c \log (F)}",1,"(24*e^4*F^(c*(a + b*x)))/(b^5*c^5*Log[F]^5) - (24*e^3*F^(c*(a + b*x))*(d + e*x))/(b^4*c^4*Log[F]^4) + (12*e^2*F^(c*(a + b*x))*(d + e*x)^2)/(b^3*c^3*Log[F]^3) - (4*e*F^(c*(a + b*x))*(d + e*x)^3)/(b^2*c^2*Log[F]^2) + (F^(c*(a + b*x))*(d + e*x)^4)/(b*c*Log[F])","A",5,2,17,0.1176,1,"{2176, 2194}"
3,1,110,0,0.0729904,"\int F^{c (a+b x)} (d+e x)^3 \, dx","Int[F^(c*(a + b*x))*(d + e*x)^3,x]","\frac{6 e^2 (d+e x) F^{c (a+b x)}}{b^3 c^3 \log ^3(F)}-\frac{3 e (d+e x)^2 F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}-\frac{6 e^3 F^{c (a+b x)}}{b^4 c^4 \log ^4(F)}+\frac{(d+e x)^3 F^{c (a+b x)}}{b c \log (F)}","\frac{6 e^2 (d+e x) F^{c (a+b x)}}{b^3 c^3 \log ^3(F)}-\frac{3 e (d+e x)^2 F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}-\frac{6 e^3 F^{c (a+b x)}}{b^4 c^4 \log ^4(F)}+\frac{(d+e x)^3 F^{c (a+b x)}}{b c \log (F)}",1,"(-6*e^3*F^(c*(a + b*x)))/(b^4*c^4*Log[F]^4) + (6*e^2*F^(c*(a + b*x))*(d + e*x))/(b^3*c^3*Log[F]^3) - (3*e*F^(c*(a + b*x))*(d + e*x)^2)/(b^2*c^2*Log[F]^2) + (F^(c*(a + b*x))*(d + e*x)^3)/(b*c*Log[F])","A",4,2,17,0.1176,1,"{2176, 2194}"
4,1,79,0,0.042787,"\int F^{c (a+b x)} (d+e x)^2 \, dx","Int[F^(c*(a + b*x))*(d + e*x)^2,x]","-\frac{2 e (d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}+\frac{2 e^2 F^{c (a+b x)}}{b^3 c^3 \log ^3(F)}+\frac{(d+e x)^2 F^{c (a+b x)}}{b c \log (F)}","-\frac{2 e (d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}+\frac{2 e^2 F^{c (a+b x)}}{b^3 c^3 \log ^3(F)}+\frac{(d+e x)^2 F^{c (a+b x)}}{b c \log (F)}",1,"(2*e^2*F^(c*(a + b*x)))/(b^3*c^3*Log[F]^3) - (2*e*F^(c*(a + b*x))*(d + e*x))/(b^2*c^2*Log[F]^2) + (F^(c*(a + b*x))*(d + e*x)^2)/(b*c*Log[F])","A",3,2,17,0.1176,1,"{2176, 2194}"
5,1,48,0,0.0166666,"\int F^{c (a+b x)} (d+e x) \, dx","Int[F^(c*(a + b*x))*(d + e*x),x]","\frac{(d+e x) F^{c (a+b x)}}{b c \log (F)}-\frac{e F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}","\frac{(d+e x) F^{c (a+b x)}}{b c \log (F)}-\frac{e F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}",1,"-((e*F^(c*(a + b*x)))/(b^2*c^2*Log[F]^2)) + (F^(c*(a + b*x))*(d + e*x))/(b*c*Log[F])","A",2,2,15,0.1333,1,"{2176, 2194}"
6,1,20,0,0.0036889,"\int F^{c (a+b x)} \, dx","Int[F^(c*(a + b*x)),x]","\frac{F^{c (a+b x)}}{b c \log (F)}","\frac{F^{c (a+b x)}}{b c \log (F)}",1,"F^(c*(a + b*x))/(b*c*Log[F])","A",1,1,9,0.1111,1,"{2194}"
7,1,31,0,0.0238996,"\int \frac{F^{c (a+b x)}}{d+e x} \, dx","Int[F^(c*(a + b*x))/(d + e*x),x]","\frac{F^{c \left(a-\frac{b d}{e}\right)} \text{Ei}\left(\frac{b c (d+e x) \log (F)}{e}\right)}{e}","\frac{F^{c \left(a-\frac{b d}{e}\right)} \text{Ei}\left(\frac{b c (d+e x) \log (F)}{e}\right)}{e}",1,"(F^(c*(a - (b*d)/e))*ExpIntegralEi[(b*c*(d + e*x)*Log[F])/e])/e","A",1,1,17,0.05882,1,"{2178}"
8,1,57,0,0.043363,"\int \frac{F^{c (a+b x)}}{(d+e x)^2} \, dx","Int[F^(c*(a + b*x))/(d + e*x)^2,x]","\frac{b c \log (F) F^{c \left(a-\frac{b d}{e}\right)} \text{Ei}\left(\frac{b c (d+e x) \log (F)}{e}\right)}{e^2}-\frac{F^{c (a+b x)}}{e (d+e x)}","\frac{b c \log (F) F^{c \left(a-\frac{b d}{e}\right)} \text{Ei}\left(\frac{b c (d+e x) \log (F)}{e}\right)}{e^2}-\frac{F^{c (a+b x)}}{e (d+e x)}",1,"-(F^(c*(a + b*x))/(e*(d + e*x))) + (b*c*F^(c*(a - (b*d)/e))*ExpIntegralEi[(b*c*(d + e*x)*Log[F])/e]*Log[F])/e^2","A",2,2,17,0.1176,1,"{2177, 2178}"
9,1,95,0,0.0707388,"\int \frac{F^{c (a+b x)}}{(d+e x)^3} \, dx","Int[F^(c*(a + b*x))/(d + e*x)^3,x]","\frac{b^2 c^2 \log ^2(F) F^{c \left(a-\frac{b d}{e}\right)} \text{Ei}\left(\frac{b c (d+e x) \log (F)}{e}\right)}{2 e^3}-\frac{b c \log (F) F^{c (a+b x)}}{2 e^2 (d+e x)}-\frac{F^{c (a+b x)}}{2 e (d+e x)^2}","\frac{b^2 c^2 \log ^2(F) F^{c \left(a-\frac{b d}{e}\right)} \text{Ei}\left(\frac{b c (d+e x) \log (F)}{e}\right)}{2 e^3}-\frac{b c \log (F) F^{c (a+b x)}}{2 e^2 (d+e x)}-\frac{F^{c (a+b x)}}{2 e (d+e x)^2}",1,"-F^(c*(a + b*x))/(2*e*(d + e*x)^2) - (b*c*F^(c*(a + b*x))*Log[F])/(2*e^2*(d + e*x)) + (b^2*c^2*F^(c*(a - (b*d)/e))*ExpIntegralEi[(b*c*(d + e*x)*Log[F])/e]*Log[F]^2)/(2*e^3)","A",3,2,17,0.1176,1,"{2177, 2178}"
10,1,128,0,0.1002368,"\int \frac{F^{c (a+b x)}}{(d+e x)^4} \, dx","Int[F^(c*(a + b*x))/(d + e*x)^4,x]","\frac{b^3 c^3 \log ^3(F) F^{c \left(a-\frac{b d}{e}\right)} \text{Ei}\left(\frac{b c (d+e x) \log (F)}{e}\right)}{6 e^4}-\frac{b^2 c^2 \log ^2(F) F^{c (a+b x)}}{6 e^3 (d+e x)}-\frac{b c \log (F) F^{c (a+b x)}}{6 e^2 (d+e x)^2}-\frac{F^{c (a+b x)}}{3 e (d+e x)^3}","\frac{b^3 c^3 \log ^3(F) F^{c \left(a-\frac{b d}{e}\right)} \text{Ei}\left(\frac{b c (d+e x) \log (F)}{e}\right)}{6 e^4}-\frac{b^2 c^2 \log ^2(F) F^{c (a+b x)}}{6 e^3 (d+e x)}-\frac{b c \log (F) F^{c (a+b x)}}{6 e^2 (d+e x)^2}-\frac{F^{c (a+b x)}}{3 e (d+e x)^3}",1,"-F^(c*(a + b*x))/(3*e*(d + e*x)^3) - (b*c*F^(c*(a + b*x))*Log[F])/(6*e^2*(d + e*x)^2) - (b^2*c^2*F^(c*(a + b*x))*Log[F]^2)/(6*e^3*(d + e*x)) + (b^3*c^3*F^(c*(a - (b*d)/e))*ExpIntegralEi[(b*c*(d + e*x)*Log[F])/e]*Log[F]^3)/(6*e^4)","A",4,2,17,0.1176,1,"{2177, 2178}"
11,1,161,0,0.1341976,"\int \frac{F^{c (a+b x)}}{(d+e x)^5} \, dx","Int[F^(c*(a + b*x))/(d + e*x)^5,x]","\frac{b^4 c^4 \log ^4(F) F^{c \left(a-\frac{b d}{e}\right)} \text{Ei}\left(\frac{b c (d+e x) \log (F)}{e}\right)}{24 e^5}-\frac{b^3 c^3 \log ^3(F) F^{c (a+b x)}}{24 e^4 (d+e x)}-\frac{b^2 c^2 \log ^2(F) F^{c (a+b x)}}{24 e^3 (d+e x)^2}-\frac{b c \log (F) F^{c (a+b x)}}{12 e^2 (d+e x)^3}-\frac{F^{c (a+b x)}}{4 e (d+e x)^4}","\frac{b^4 c^4 \log ^4(F) F^{c \left(a-\frac{b d}{e}\right)} \text{Ei}\left(\frac{b c (d+e x) \log (F)}{e}\right)}{24 e^5}-\frac{b^3 c^3 \log ^3(F) F^{c (a+b x)}}{24 e^4 (d+e x)}-\frac{b^2 c^2 \log ^2(F) F^{c (a+b x)}}{24 e^3 (d+e x)^2}-\frac{b c \log (F) F^{c (a+b x)}}{12 e^2 (d+e x)^3}-\frac{F^{c (a+b x)}}{4 e (d+e x)^4}",1,"-F^(c*(a + b*x))/(4*e*(d + e*x)^4) - (b*c*F^(c*(a + b*x))*Log[F])/(12*e^2*(d + e*x)^3) - (b^2*c^2*F^(c*(a + b*x))*Log[F]^2)/(24*e^3*(d + e*x)^2) - (b^3*c^3*F^(c*(a + b*x))*Log[F]^3)/(24*e^4*(d + e*x)) + (b^4*c^4*F^(c*(a - (b*d)/e))*ExpIntegralEi[(b*c*(d + e*x)*Log[F])/e]*Log[F]^4)/(24*e^5)","A",5,2,17,0.1176,1,"{2177, 2178}"
12,1,141,0,0.1220314,"\int F^{c (a+b x)} \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) \, dx","Int[F^(c*(a + b*x))*(d^4 + 4*d^3*e*x + 6*d^2*e^2*x^2 + 4*d*e^3*x^3 + e^4*x^4),x]","\frac{12 e^2 (d+e x)^2 F^{c (a+b x)}}{b^3 c^3 \log ^3(F)}-\frac{24 e^3 (d+e x) F^{c (a+b x)}}{b^4 c^4 \log ^4(F)}-\frac{4 e (d+e x)^3 F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}+\frac{24 e^4 F^{c (a+b x)}}{b^5 c^5 \log ^5(F)}+\frac{(d+e x)^4 F^{c (a+b x)}}{b c \log (F)}","\frac{12 e^2 (d+e x)^2 F^{c (a+b x)}}{b^3 c^3 \log ^3(F)}-\frac{24 e^3 (d+e x) F^{c (a+b x)}}{b^4 c^4 \log ^4(F)}-\frac{4 e (d+e x)^3 F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}+\frac{24 e^4 F^{c (a+b x)}}{b^5 c^5 \log ^5(F)}+\frac{(d+e x)^4 F^{c (a+b x)}}{b c \log (F)}",1,"(24*e^4*F^(c*(a + b*x)))/(b^5*c^5*Log[F]^5) - (24*e^3*F^(c*(a + b*x))*(d + e*x))/(b^4*c^4*Log[F]^4) + (12*e^2*F^(c*(a + b*x))*(d + e*x)^2)/(b^3*c^3*Log[F]^3) - (4*e*F^(c*(a + b*x))*(d + e*x)^3)/(b^2*c^2*Log[F]^2) + (F^(c*(a + b*x))*(d + e*x)^4)/(b*c*Log[F])","A",6,3,48,0.06250,1,"{2187, 2176, 2194}"
13,1,110,0,0.0857957,"\int F^{c (a+b x)} \left(d^3+3 d^2 e x+3 d e^2 x^2+e^3 x^3\right) \, dx","Int[F^(c*(a + b*x))*(d^3 + 3*d^2*e*x + 3*d*e^2*x^2 + e^3*x^3),x]","\frac{6 e^2 (d+e x) F^{c (a+b x)}}{b^3 c^3 \log ^3(F)}-\frac{3 e (d+e x)^2 F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}-\frac{6 e^3 F^{c (a+b x)}}{b^4 c^4 \log ^4(F)}+\frac{(d+e x)^3 F^{c (a+b x)}}{b c \log (F)}","\frac{6 e^2 (d+e x) F^{c (a+b x)}}{b^3 c^3 \log ^3(F)}-\frac{3 e (d+e x)^2 F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}-\frac{6 e^3 F^{c (a+b x)}}{b^4 c^4 \log ^4(F)}+\frac{(d+e x)^3 F^{c (a+b x)}}{b c \log (F)}",1,"(-6*e^3*F^(c*(a + b*x)))/(b^4*c^4*Log[F]^4) + (6*e^2*F^(c*(a + b*x))*(d + e*x))/(b^3*c^3*Log[F]^3) - (3*e*F^(c*(a + b*x))*(d + e*x)^2)/(b^2*c^2*Log[F]^2) + (F^(c*(a + b*x))*(d + e*x)^3)/(b*c*Log[F])","A",5,3,37,0.08108,1,"{2187, 2176, 2194}"
14,1,79,0,0.0454934,"\int F^{c (a+b x)} \left(d^2+2 d e x+e^2 x^2\right) \, dx","Int[F^(c*(a + b*x))*(d^2 + 2*d*e*x + e^2*x^2),x]","-\frac{2 e (d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}+\frac{2 e^2 F^{c (a+b x)}}{b^3 c^3 \log ^3(F)}+\frac{(d+e x)^2 F^{c (a+b x)}}{b c \log (F)}","-\frac{2 e (d+e x) F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}+\frac{2 e^2 F^{c (a+b x)}}{b^3 c^3 \log ^3(F)}+\frac{(d+e x)^2 F^{c (a+b x)}}{b c \log (F)}",1,"(2*e^2*F^(c*(a + b*x)))/(b^3*c^3*Log[F]^3) - (2*e*F^(c*(a + b*x))*(d + e*x))/(b^2*c^2*Log[F]^2) + (F^(c*(a + b*x))*(d + e*x)^2)/(b*c*Log[F])","A",4,3,26,0.1154,1,"{27, 2176, 2194}"
15,1,57,0,0.0426247,"\int \frac{F^{c (a+b x)}}{d^2+2 d e x+e^2 x^2} \, dx","Int[F^(c*(a + b*x))/(d^2 + 2*d*e*x + e^2*x^2),x]","\frac{b c \log (F) F^{c \left(a-\frac{b d}{e}\right)} \text{Ei}\left(\frac{b c (d+e x) \log (F)}{e}\right)}{e^2}-\frac{F^{c (a+b x)}}{e (d+e x)}","\frac{b c \log (F) F^{c \left(a-\frac{b d}{e}\right)} \text{Ei}\left(\frac{b c (d+e x) \log (F)}{e}\right)}{e^2}-\frac{F^{c (a+b x)}}{e (d+e x)}",1,"-(F^(c*(a + b*x))/(e*(d + e*x))) + (b*c*F^(c*(a - (b*d)/e))*ExpIntegralEi[(b*c*(d + e*x)*Log[F])/e]*Log[F])/e^2","A",3,3,28,0.1071,1,"{27, 2177, 2178}"
16,1,95,0,0.097557,"\int \frac{F^{c (a+b x)}}{d^3+3 d^2 e x+3 d e^2 x^2+e^3 x^3} \, dx","Int[F^(c*(a + b*x))/(d^3 + 3*d^2*e*x + 3*d*e^2*x^2 + e^3*x^3),x]","\frac{b^2 c^2 \log ^2(F) F^{c \left(a-\frac{b d}{e}\right)} \text{Ei}\left(\frac{b c (d+e x) \log (F)}{e}\right)}{2 e^3}-\frac{b c \log (F) F^{c (a+b x)}}{2 e^2 (d+e x)}-\frac{F^{c (a+b x)}}{2 e (d+e x)^2}","\frac{b^2 c^2 \log ^2(F) F^{c \left(a-\frac{b d}{e}\right)} \text{Ei}\left(\frac{b c (d+e x) \log (F)}{e}\right)}{2 e^3}-\frac{b c \log (F) F^{c (a+b x)}}{2 e^2 (d+e x)}-\frac{F^{c (a+b x)}}{2 e (d+e x)^2}",1,"-F^(c*(a + b*x))/(2*e*(d + e*x)^2) - (b*c*F^(c*(a + b*x))*Log[F])/(2*e^2*(d + e*x)) + (b^2*c^2*F^(c*(a - (b*d)/e))*ExpIntegralEi[(b*c*(d + e*x)*Log[F])/e]*Log[F]^2)/(2*e^3)","A",4,3,39,0.07692,1,"{2187, 2177, 2178}"
17,1,128,0,0.1339819,"\int \frac{F^{c (a+b x)}}{d^4+4 d^3 e x+6 d^2 e^2 x^2+4 d e^3 x^3+e^4 x^4} \, dx","Int[F^(c*(a + b*x))/(d^4 + 4*d^3*e*x + 6*d^2*e^2*x^2 + 4*d*e^3*x^3 + e^4*x^4),x]","\frac{b^3 c^3 \log ^3(F) F^{c \left(a-\frac{b d}{e}\right)} \text{Ei}\left(\frac{b c (d+e x) \log (F)}{e}\right)}{6 e^4}-\frac{b^2 c^2 \log ^2(F) F^{c (a+b x)}}{6 e^3 (d+e x)}-\frac{b c \log (F) F^{c (a+b x)}}{6 e^2 (d+e x)^2}-\frac{F^{c (a+b x)}}{3 e (d+e x)^3}","\frac{b^3 c^3 \log ^3(F) F^{c \left(a-\frac{b d}{e}\right)} \text{Ei}\left(\frac{b c (d+e x) \log (F)}{e}\right)}{6 e^4}-\frac{b^2 c^2 \log ^2(F) F^{c (a+b x)}}{6 e^3 (d+e x)}-\frac{b c \log (F) F^{c (a+b x)}}{6 e^2 (d+e x)^2}-\frac{F^{c (a+b x)}}{3 e (d+e x)^3}",1,"-F^(c*(a + b*x))/(3*e*(d + e*x)^3) - (b*c*F^(c*(a + b*x))*Log[F])/(6*e^2*(d + e*x)^2) - (b^2*c^2*F^(c*(a + b*x))*Log[F]^2)/(6*e^3*(d + e*x)) + (b^3*c^3*F^(c*(a - (b*d)/e))*ExpIntegralEi[(b*c*(d + e*x)*Log[F])/e]*Log[F]^3)/(6*e^4)","A",5,3,50,0.06000,1,"{2187, 2177, 2178}"
18,1,161,0,0.1803788,"\int \frac{F^{c (a+b x)}}{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} \, dx","Int[F^(c*(a + b*x))/(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),x]","\frac{b^4 c^4 \log ^4(F) F^{c \left(a-\frac{b d}{e}\right)} \text{Ei}\left(\frac{b c (d+e x) \log (F)}{e}\right)}{24 e^5}-\frac{b^3 c^3 \log ^3(F) F^{c (a+b x)}}{24 e^4 (d+e x)}-\frac{b^2 c^2 \log ^2(F) F^{c (a+b x)}}{24 e^3 (d+e x)^2}-\frac{b c \log (F) F^{c (a+b x)}}{12 e^2 (d+e x)^3}-\frac{F^{c (a+b x)}}{4 e (d+e x)^4}","\frac{b^4 c^4 \log ^4(F) F^{c \left(a-\frac{b d}{e}\right)} \text{Ei}\left(\frac{b c (d+e x) \log (F)}{e}\right)}{24 e^5}-\frac{b^3 c^3 \log ^3(F) F^{c (a+b x)}}{24 e^4 (d+e x)}-\frac{b^2 c^2 \log ^2(F) F^{c (a+b x)}}{24 e^3 (d+e x)^2}-\frac{b c \log (F) F^{c (a+b x)}}{12 e^2 (d+e x)^3}-\frac{F^{c (a+b x)}}{4 e (d+e x)^4}",1,"-F^(c*(a + b*x))/(4*e*(d + e*x)^4) - (b*c*F^(c*(a + b*x))*Log[F])/(12*e^2*(d + e*x)^3) - (b^2*c^2*F^(c*(a + b*x))*Log[F]^2)/(24*e^3*(d + e*x)^2) - (b^3*c^3*F^(c*(a + b*x))*Log[F]^3)/(24*e^4*(d + e*x)) + (b^4*c^4*F^(c*(a - (b*d)/e))*ExpIntegralEi[(b*c*(d + e*x)*Log[F])/e]*Log[F]^4)/(24*e^5)","A",6,3,61,0.04918,1,"{2187, 2177, 2178}"
19,1,72,0,0.0536632,"\int F^{c (a+b x)} \left((d+e x)^n\right)^m \, dx","Int[F^(c*(a + b*x))*((d + e*x)^n)^m,x]","\frac{\left((d+e x)^n\right)^m F^{c \left(a-\frac{b d}{e}\right)} \left(-\frac{b c \log (F) (d+e x)}{e}\right)^{-m n} \text{Gamma}\left(m n+1,-\frac{b c \log (F) (d+e x)}{e}\right)}{b c \log (F)}","\frac{\left((d+e x)^n\right)^m F^{c \left(a-\frac{b d}{e}\right)} \left(-\frac{b c \log (F) (d+e x)}{e}\right)^{-m n} \text{Gamma}\left(m n+1,-\frac{b c \log (F) (d+e x)}{e}\right)}{b c \log (F)}",1,"(F^(c*(a - (b*d)/e))*((d + e*x)^n)^m*Gamma[1 + m*n, -((b*c*(d + e*x)*Log[F])/e)])/(b*c*Log[F]*(-((b*c*(d + e*x)*Log[F])/e))^(m*n))","A",2,2,19,0.1053,1,"{2188, 2181}"
20,1,71,0,0.0699975,"\int F^{c (a+b x)} \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 \, dx","Int[F^(c*(a + b*x))*(d^4 + 4*d^3*e*x + 6*d^2*e^2*x^2 + 4*d*e^3*x^3 + e^4*x^4)^m,x]","\frac{\left((d+e x)^4\right)^m F^{c \left(a-\frac{b d}{e}\right)} \left(-\frac{b c \log (F) (d+e x)}{e}\right)^{-4 m} \text{Gamma}\left(4 m+1,-\frac{b c \log (F) (d+e x)}{e}\right)}{b c \log (F)}","\frac{\left((d+e x)^4\right)^m F^{c \left(a-\frac{b d}{e}\right)} \left(-\frac{b c \log (F) (d+e x)}{e}\right)^{-4 m} \text{Gamma}\left(4 m+1,-\frac{b c \log (F) (d+e x)}{e}\right)}{b c \log (F)}",1,"(F^(c*(a - (b*d)/e))*((d + e*x)^4)^m*Gamma[1 + 4*m, -((b*c*(d + e*x)*Log[F])/e)])/(b*c*Log[F]*(-((b*c*(d + e*x)*Log[F])/e))^(4*m))","A",2,2,50,0.04000,1,"{2188, 2181}"
21,1,71,0,0.0604419,"\int F^{c (a+b x)} \left(d^3+3 d^2 e x+3 d e^2 x^2+e^3 x^3\right)^m \, dx","Int[F^(c*(a + b*x))*(d^3 + 3*d^2*e*x + 3*d*e^2*x^2 + e^3*x^3)^m,x]","\frac{\left((d+e x)^3\right)^m F^{c \left(a-\frac{b d}{e}\right)} \left(-\frac{b c \log (F) (d+e x)}{e}\right)^{-3 m} \text{Gamma}\left(3 m+1,-\frac{b c \log (F) (d+e x)}{e}\right)}{b c \log (F)}","\frac{\left((d+e x)^3\right)^m F^{c \left(a-\frac{b d}{e}\right)} \left(-\frac{b c \log (F) (d+e x)}{e}\right)^{-3 m} \text{Gamma}\left(3 m+1,-\frac{b c \log (F) (d+e x)}{e}\right)}{b c \log (F)}",1,"(F^(c*(a - (b*d)/e))*((d + e*x)^3)^m*Gamma[1 + 3*m, -((b*c*(d + e*x)*Log[F])/e)])/(b*c*Log[F]*(-((b*c*(d + e*x)*Log[F])/e))^(3*m))","A",2,2,39,0.05128,1,"{2188, 2181}"
22,1,71,0,0.0569066,"\int F^{c (a+b x)} \left(d^2+2 d e x+e^2 x^2\right)^m \, dx","Int[F^(c*(a + b*x))*(d^2 + 2*d*e*x + e^2*x^2)^m,x]","\frac{\left((d+e x)^2\right)^m F^{c \left(a-\frac{b d}{e}\right)} \left(-\frac{b c \log (F) (d+e x)}{e}\right)^{-2 m} \text{Gamma}\left(2 m+1,-\frac{b c \log (F) (d+e x)}{e}\right)}{b c \log (F)}","\frac{\left((d+e x)^2\right)^m F^{c \left(a-\frac{b d}{e}\right)} \left(-\frac{b c \log (F) (d+e x)}{e}\right)^{-2 m} \text{Gamma}\left(2 m+1,-\frac{b c \log (F) (d+e x)}{e}\right)}{b c \log (F)}",1,"(F^(c*(a - (b*d)/e))*((d + e*x)^2)^m*Gamma[1 + 2*m, -((b*c*(d + e*x)*Log[F])/e)])/(b*c*Log[F]*(-((b*c*(d + e*x)*Log[F])/e))^(2*m))","A",2,2,28,0.07143,1,"{2188, 2181}"
23,1,67,0,0.0216785,"\int F^{c (a+b x)} (d+e x)^m \, dx","Int[F^(c*(a + b*x))*(d + e*x)^m,x]","\frac{(d+e x)^m F^{c \left(a-\frac{b d}{e}\right)} \left(-\frac{b c \log (F) (d+e x)}{e}\right)^{-m} \text{Gamma}\left(m+1,-\frac{b c \log (F) (d+e x)}{e}\right)}{b c \log (F)}","\frac{(d+e x)^m F^{c \left(a-\frac{b d}{e}\right)} \left(-\frac{b c \log (F) (d+e x)}{e}\right)^{-m} \text{Gamma}\left(m+1,-\frac{b c \log (F) (d+e x)}{e}\right)}{b c \log (F)}",1,"(F^(c*(a - (b*d)/e))*(d + e*x)^m*Gamma[1 + m, -((b*c*(d + e*x)*Log[F])/e)])/(b*c*Log[F]*(-((b*c*(d + e*x)*Log[F])/e))^m)","A",1,1,17,0.05882,1,"{2181}"
24,1,69,0,0.024389,"\int F^{c (a+b x)} (d+e x)^{-m} \, dx","Int[F^(c*(a + b*x))/(d + e*x)^m,x]","\frac{(d+e x)^{-m} F^{c \left(a-\frac{b d}{e}\right)} \left(-\frac{b c \log (F) (d+e x)}{e}\right)^m \text{Gamma}\left(1-m,-\frac{b c \log (F) (d+e x)}{e}\right)}{b c \log (F)}","\frac{(d+e x)^{-m} F^{c \left(a-\frac{b d}{e}\right)} \left(-\frac{b c \log (F) (d+e x)}{e}\right)^m \text{Gamma}\left(1-m,-\frac{b c \log (F) (d+e x)}{e}\right)}{b c \log (F)}",1,"(F^(c*(a - (b*d)/e))*Gamma[1 - m, -((b*c*(d + e*x)*Log[F])/e)]*(-((b*c*(d + e*x)*Log[F])/e))^m)/(b*c*(d + e*x)^m*Log[F])","A",1,1,19,0.05263,1,"{2181}"
25,1,73,0,0.0566247,"\int F^{c (a+b x)} \left(d^2+2 d e x+e^2 x^2\right)^{-m} \, dx","Int[F^(c*(a + b*x))/(d^2 + 2*d*e*x + e^2*x^2)^m,x]","\frac{\left((d+e x)^2\right)^{-m} F^{c \left(a-\frac{b d}{e}\right)} \left(-\frac{b c \log (F) (d+e x)}{e}\right)^{2 m} \text{Gamma}\left(1-2 m,-\frac{b c \log (F) (d+e x)}{e}\right)}{b c \log (F)}","\frac{\left((d+e x)^2\right)^{-m} F^{c \left(a-\frac{b d}{e}\right)} \left(-\frac{b c \log (F) (d+e x)}{e}\right)^{2 m} \text{Gamma}\left(1-2 m,-\frac{b c \log (F) (d+e x)}{e}\right)}{b c \log (F)}",1,"(F^(c*(a - (b*d)/e))*Gamma[1 - 2*m, -((b*c*(d + e*x)*Log[F])/e)]*(-((b*c*(d + e*x)*Log[F])/e))^(2*m))/(b*c*((d + e*x)^2)^m*Log[F])","A",2,2,30,0.06667,1,"{2188, 2181}"
26,1,73,0,0.0597445,"\int F^{c (a+b x)} \left(d^3+3 d^2 e x+3 d e^2 x^2+e^3 x^3\right)^{-m} \, dx","Int[F^(c*(a + b*x))/(d^3 + 3*d^2*e*x + 3*d*e^2*x^2 + e^3*x^3)^m,x]","\frac{\left((d+e x)^3\right)^{-m} F^{c \left(a-\frac{b d}{e}\right)} \left(-\frac{b c \log (F) (d+e x)}{e}\right)^{3 m} \text{Gamma}\left(1-3 m,-\frac{b c \log (F) (d+e x)}{e}\right)}{b c \log (F)}","\frac{\left((d+e x)^3\right)^{-m} F^{c \left(a-\frac{b d}{e}\right)} \left(-\frac{b c \log (F) (d+e x)}{e}\right)^{3 m} \text{Gamma}\left(1-3 m,-\frac{b c \log (F) (d+e x)}{e}\right)}{b c \log (F)}",1,"(F^(c*(a - (b*d)/e))*Gamma[1 - 3*m, -((b*c*(d + e*x)*Log[F])/e)]*(-((b*c*(d + e*x)*Log[F])/e))^(3*m))/(b*c*((d + e*x)^3)^m*Log[F])","A",2,2,41,0.04878,1,"{2188, 2181}"
27,1,15,0,0.002795,"\int F^{2+5 x} \, dx","Int[F^(2 + 5*x),x]","\frac{F^{5 x+2}}{5 \log (F)}","\frac{F^{5 x+2}}{5 \log (F)}",1,"F^(2 + 5*x)/(5*Log[F])","A",1,1,7,0.1429,1,"{2194}"
28,1,15,0,0.0028422,"\int F^{a+b x} \, dx","Int[F^(a + b*x),x]","\frac{F^{a+b x}}{b \log (F)}","\frac{F^{a+b x}}{b \log (F)}",1,"F^(a + b*x)/(b*Log[F])","A",1,1,7,0.1429,1,"{2194}"
29,1,19,0,0.0054357,"\int 10^{2+5 x} \, dx","Int[10^(2 + 5*x),x]","\frac{2^{5 x+2} 5^{5 x+1}}{\log (10)}","\frac{2^{5 x+2} 5^{5 x+1}}{\log (10)}",1,"(2^(2 + 5*x)*5^(1 + 5*x))/Log[10]","A",1,1,7,0.1429,1,"{2194}"
30,1,131,0,0.1471635,"\int F^{a+b x} x^{7/2} \, dx","Int[F^(a + b*x)*x^(7/2),x]","\frac{105 \sqrt{\pi } F^a \text{Erfi}\left(\sqrt{b} \sqrt{x} \sqrt{\log (F)}\right)}{16 b^{9/2} \log ^{\frac{9}{2}}(F)}-\frac{7 x^{5/2} F^{a+b x}}{2 b^2 \log ^2(F)}+\frac{35 x^{3/2} F^{a+b x}}{4 b^3 \log ^3(F)}-\frac{105 \sqrt{x} F^{a+b x}}{8 b^4 \log ^4(F)}+\frac{x^{7/2} F^{a+b x}}{b \log (F)}","\frac{105 \sqrt{\pi } F^a \text{Erfi}\left(\sqrt{b} \sqrt{x} \sqrt{\log (F)}\right)}{16 b^{9/2} \log ^{\frac{9}{2}}(F)}-\frac{7 x^{5/2} F^{a+b x}}{2 b^2 \log ^2(F)}+\frac{35 x^{3/2} F^{a+b x}}{4 b^3 \log ^3(F)}-\frac{105 \sqrt{x} F^{a+b x}}{8 b^4 \log ^4(F)}+\frac{x^{7/2} F^{a+b x}}{b \log (F)}",1,"(105*F^a*Sqrt[Pi]*Erfi[Sqrt[b]*Sqrt[x]*Sqrt[Log[F]]])/(16*b^(9/2)*Log[F]^(9/2)) - (105*F^(a + b*x)*Sqrt[x])/(8*b^4*Log[F]^4) + (35*F^(a + b*x)*x^(3/2))/(4*b^3*Log[F]^3) - (7*F^(a + b*x)*x^(5/2))/(2*b^2*Log[F]^2) + (F^(a + b*x)*x^(7/2))/(b*Log[F])","A",6,3,13,0.2308,1,"{2176, 2180, 2204}"
31,1,108,0,0.0938183,"\int F^{a+b x} x^{5/2} \, dx","Int[F^(a + b*x)*x^(5/2),x]","-\frac{15 \sqrt{\pi } F^a \text{Erfi}\left(\sqrt{b} \sqrt{x} \sqrt{\log (F)}\right)}{8 b^{7/2} \log ^{\frac{7}{2}}(F)}-\frac{5 x^{3/2} F^{a+b x}}{2 b^2 \log ^2(F)}+\frac{15 \sqrt{x} F^{a+b x}}{4 b^3 \log ^3(F)}+\frac{x^{5/2} F^{a+b x}}{b \log (F)}","-\frac{15 \sqrt{\pi } F^a \text{Erfi}\left(\sqrt{b} \sqrt{x} \sqrt{\log (F)}\right)}{8 b^{7/2} \log ^{\frac{7}{2}}(F)}-\frac{5 x^{3/2} F^{a+b x}}{2 b^2 \log ^2(F)}+\frac{15 \sqrt{x} F^{a+b x}}{4 b^3 \log ^3(F)}+\frac{x^{5/2} F^{a+b x}}{b \log (F)}",1,"(-15*F^a*Sqrt[Pi]*Erfi[Sqrt[b]*Sqrt[x]*Sqrt[Log[F]]])/(8*b^(7/2)*Log[F]^(7/2)) + (15*F^(a + b*x)*Sqrt[x])/(4*b^3*Log[F]^3) - (5*F^(a + b*x)*x^(3/2))/(2*b^2*Log[F]^2) + (F^(a + b*x)*x^(5/2))/(b*Log[F])","A",5,3,13,0.2308,1,"{2176, 2180, 2204}"
32,1,85,0,0.06581,"\int F^{a+b x} x^{3/2} \, dx","Int[F^(a + b*x)*x^(3/2),x]","\frac{3 \sqrt{\pi } F^a \text{Erfi}\left(\sqrt{b} \sqrt{x} \sqrt{\log (F)}\right)}{4 b^{5/2} \log ^{\frac{5}{2}}(F)}-\frac{3 \sqrt{x} F^{a+b x}}{2 b^2 \log ^2(F)}+\frac{x^{3/2} F^{a+b x}}{b \log (F)}","\frac{3 \sqrt{\pi } F^a \text{Erfi}\left(\sqrt{b} \sqrt{x} \sqrt{\log (F)}\right)}{4 b^{5/2} \log ^{\frac{5}{2}}(F)}-\frac{3 \sqrt{x} F^{a+b x}}{2 b^2 \log ^2(F)}+\frac{x^{3/2} F^{a+b x}}{b \log (F)}",1,"(3*F^a*Sqrt[Pi]*Erfi[Sqrt[b]*Sqrt[x]*Sqrt[Log[F]]])/(4*b^(5/2)*Log[F]^(5/2)) - (3*F^(a + b*x)*Sqrt[x])/(2*b^2*Log[F]^2) + (F^(a + b*x)*x^(3/2))/(b*Log[F])","A",4,3,13,0.2308,1,"{2176, 2180, 2204}"
33,1,62,0,0.0443172,"\int F^{a+b x} \sqrt{x} \, dx","Int[F^(a + b*x)*Sqrt[x],x]","\frac{\sqrt{x} F^{a+b x}}{b \log (F)}-\frac{\sqrt{\pi } F^a \text{Erfi}\left(\sqrt{b} \sqrt{x} \sqrt{\log (F)}\right)}{2 b^{3/2} \log ^{\frac{3}{2}}(F)}","\frac{\sqrt{x} F^{a+b x}}{b \log (F)}-\frac{\sqrt{\pi } F^a \text{Erfi}\left(\sqrt{b} \sqrt{x} \sqrt{\log (F)}\right)}{2 b^{3/2} \log ^{\frac{3}{2}}(F)}",1,"-(F^a*Sqrt[Pi]*Erfi[Sqrt[b]*Sqrt[x]*Sqrt[Log[F]]])/(2*b^(3/2)*Log[F]^(3/2)) + (F^(a + b*x)*Sqrt[x])/(b*Log[F])","A",3,3,13,0.2308,1,"{2176, 2180, 2204}"
34,1,38,0,0.025179,"\int \frac{F^{a+b x}}{\sqrt{x}} \, dx","Int[F^(a + b*x)/Sqrt[x],x]","\frac{\sqrt{\pi } F^a \text{Erfi}\left(\sqrt{b} \sqrt{x} \sqrt{\log (F)}\right)}{\sqrt{b} \sqrt{\log (F)}}","\frac{\sqrt{\pi } F^a \text{Erfi}\left(\sqrt{b} \sqrt{x} \sqrt{\log (F)}\right)}{\sqrt{b} \sqrt{\log (F)}}",1,"(F^a*Sqrt[Pi]*Erfi[Sqrt[b]*Sqrt[x]*Sqrt[Log[F]]])/(Sqrt[b]*Sqrt[Log[F]])","A",2,2,13,0.1538,1,"{2180, 2204}"
35,1,54,0,0.0454763,"\int \frac{F^{a+b x}}{x^{3/2}} \, dx","Int[F^(a + b*x)/x^(3/2),x]","2 \sqrt{\pi } \sqrt{b} F^a \sqrt{\log (F)} \text{Erfi}\left(\sqrt{b} \sqrt{x} \sqrt{\log (F)}\right)-\frac{2 F^{a+b x}}{\sqrt{x}}","2 \sqrt{\pi } \sqrt{b} F^a \sqrt{\log (F)} \text{Erfi}\left(\sqrt{b} \sqrt{x} \sqrt{\log (F)}\right)-\frac{2 F^{a+b x}}{\sqrt{x}}",1,"(-2*F^(a + b*x))/Sqrt[x] + 2*Sqrt[b]*F^a*Sqrt[Pi]*Erfi[Sqrt[b]*Sqrt[x]*Sqrt[Log[F]]]*Sqrt[Log[F]]","A",3,3,13,0.2308,1,"{2177, 2180, 2204}"
36,1,77,0,0.064935,"\int \frac{F^{a+b x}}{x^{5/2}} \, dx","Int[F^(a + b*x)/x^(5/2),x]","\frac{4}{3} \sqrt{\pi } b^{3/2} F^a \log ^{\frac{3}{2}}(F) \text{Erfi}\left(\sqrt{b} \sqrt{x} \sqrt{\log (F)}\right)-\frac{2 F^{a+b x}}{3 x^{3/2}}-\frac{4 b \log (F) F^{a+b x}}{3 \sqrt{x}}","\frac{4}{3} \sqrt{\pi } b^{3/2} F^a \log ^{\frac{3}{2}}(F) \text{Erfi}\left(\sqrt{b} \sqrt{x} \sqrt{\log (F)}\right)-\frac{2 F^{a+b x}}{3 x^{3/2}}-\frac{4 b \log (F) F^{a+b x}}{3 \sqrt{x}}",1,"(-2*F^(a + b*x))/(3*x^(3/2)) - (4*b*F^(a + b*x)*Log[F])/(3*Sqrt[x]) + (4*b^(3/2)*F^a*Sqrt[Pi]*Erfi[Sqrt[b]*Sqrt[x]*Sqrt[Log[F]]]*Log[F]^(3/2))/3","A",4,3,13,0.2308,1,"{2177, 2180, 2204}"
37,1,100,0,0.0894239,"\int \frac{F^{a+b x}}{x^{7/2}} \, dx","Int[F^(a + b*x)/x^(7/2),x]","\frac{8}{15} \sqrt{\pi } b^{5/2} F^a \log ^{\frac{5}{2}}(F) \text{Erfi}\left(\sqrt{b} \sqrt{x} \sqrt{\log (F)}\right)-\frac{8 b^2 \log ^2(F) F^{a+b x}}{15 \sqrt{x}}-\frac{2 F^{a+b x}}{5 x^{5/2}}-\frac{4 b \log (F) F^{a+b x}}{15 x^{3/2}}","\frac{8}{15} \sqrt{\pi } b^{5/2} F^a \log ^{\frac{5}{2}}(F) \text{Erfi}\left(\sqrt{b} \sqrt{x} \sqrt{\log (F)}\right)-\frac{8 b^2 \log ^2(F) F^{a+b x}}{15 \sqrt{x}}-\frac{2 F^{a+b x}}{5 x^{5/2}}-\frac{4 b \log (F) F^{a+b x}}{15 x^{3/2}}",1,"(-2*F^(a + b*x))/(5*x^(5/2)) - (4*b*F^(a + b*x)*Log[F])/(15*x^(3/2)) - (8*b^2*F^(a + b*x)*Log[F]^2)/(15*Sqrt[x]) + (8*b^(5/2)*F^a*Sqrt[Pi]*Erfi[Sqrt[b]*Sqrt[x]*Sqrt[Log[F]]]*Log[F]^(5/2))/15","A",5,3,13,0.2308,1,"{2177, 2180, 2204}"
38,1,123,0,0.1081998,"\int \frac{F^{a+b x}}{x^{9/2}} \, dx","Int[F^(a + b*x)/x^(9/2),x]","\frac{16}{105} \sqrt{\pi } b^{7/2} F^a \log ^{\frac{7}{2}}(F) \text{Erfi}\left(\sqrt{b} \sqrt{x} \sqrt{\log (F)}\right)-\frac{8 b^2 \log ^2(F) F^{a+b x}}{105 x^{3/2}}-\frac{16 b^3 \log ^3(F) F^{a+b x}}{105 \sqrt{x}}-\frac{2 F^{a+b x}}{7 x^{7/2}}-\frac{4 b \log (F) F^{a+b x}}{35 x^{5/2}}","\frac{16}{105} \sqrt{\pi } b^{7/2} F^a \log ^{\frac{7}{2}}(F) \text{Erfi}\left(\sqrt{b} \sqrt{x} \sqrt{\log (F)}\right)-\frac{8 b^2 \log ^2(F) F^{a+b x}}{105 x^{3/2}}-\frac{16 b^3 \log ^3(F) F^{a+b x}}{105 \sqrt{x}}-\frac{2 F^{a+b x}}{7 x^{7/2}}-\frac{4 b \log (F) F^{a+b x}}{35 x^{5/2}}",1,"(-2*F^(a + b*x))/(7*x^(7/2)) - (4*b*F^(a + b*x)*Log[F])/(35*x^(5/2)) - (8*b^2*F^(a + b*x)*Log[F]^2)/(105*x^(3/2)) - (16*b^3*F^(a + b*x)*Log[F]^3)/(105*Sqrt[x]) + (16*b^(7/2)*F^a*Sqrt[Pi]*Erfi[Sqrt[b]*Sqrt[x]*Sqrt[Log[F]]]*Log[F]^(7/2))/105","A",6,3,13,0.2308,1,"{2177, 2180, 2204}"
39,1,208,0,0.266096,"\int F^{c (a+b x)} (d+e x)^{7/2} \, dx","Int[F^(c*(a + b*x))*(d + e*x)^(7/2),x]","\frac{105 \sqrt{\pi } e^{7/2} F^{c \left(a-\frac{b d}{e}\right)} \text{Erfi}\left(\frac{\sqrt{b} \sqrt{c} \sqrt{\log (F)} \sqrt{d+e x}}{\sqrt{e}}\right)}{16 b^{9/2} c^{9/2} \log ^{\frac{9}{2}}(F)}+\frac{35 e^2 (d+e x)^{3/2} F^{c (a+b x)}}{4 b^3 c^3 \log ^3(F)}-\frac{105 e^3 \sqrt{d+e x} F^{c (a+b x)}}{8 b^4 c^4 \log ^4(F)}-\frac{7 e (d+e x)^{5/2} F^{c (a+b x)}}{2 b^2 c^2 \log ^2(F)}+\frac{(d+e x)^{7/2} F^{c (a+b x)}}{b c \log (F)}","\frac{105 \sqrt{\pi } e^{7/2} F^{c \left(a-\frac{b d}{e}\right)} \text{Erfi}\left(\frac{\sqrt{b} \sqrt{c} \sqrt{\log (F)} \sqrt{d+e x}}{\sqrt{e}}\right)}{16 b^{9/2} c^{9/2} \log ^{\frac{9}{2}}(F)}+\frac{35 e^2 (d+e x)^{3/2} F^{c (a+b x)}}{4 b^3 c^3 \log ^3(F)}-\frac{105 e^3 \sqrt{d+e x} F^{c (a+b x)}}{8 b^4 c^4 \log ^4(F)}-\frac{7 e (d+e x)^{5/2} F^{c (a+b x)}}{2 b^2 c^2 \log ^2(F)}+\frac{(d+e x)^{7/2} F^{c (a+b x)}}{b c \log (F)}",1,"(105*e^(7/2)*F^(c*(a - (b*d)/e))*Sqrt[Pi]*Erfi[(Sqrt[b]*Sqrt[c]*Sqrt[d + e*x]*Sqrt[Log[F]])/Sqrt[e]])/(16*b^(9/2)*c^(9/2)*Log[F]^(9/2)) - (105*e^3*F^(c*(a + b*x))*Sqrt[d + e*x])/(8*b^4*c^4*Log[F]^4) + (35*e^2*F^(c*(a + b*x))*(d + e*x)^(3/2))/(4*b^3*c^3*Log[F]^3) - (7*e*F^(c*(a + b*x))*(d + e*x)^(5/2))/(2*b^2*c^2*Log[F]^2) + (F^(c*(a + b*x))*(d + e*x)^(7/2))/(b*c*Log[F])","A",6,3,19,0.1579,1,"{2176, 2180, 2204}"
40,1,173,0,0.1655168,"\int F^{c (a+b x)} (d+e x)^{5/2} \, dx","Int[F^(c*(a + b*x))*(d + e*x)^(5/2),x]","-\frac{15 \sqrt{\pi } e^{5/2} F^{c \left(a-\frac{b d}{e}\right)} \text{Erfi}\left(\frac{\sqrt{b} \sqrt{c} \sqrt{\log (F)} \sqrt{d+e x}}{\sqrt{e}}\right)}{8 b^{7/2} c^{7/2} \log ^{\frac{7}{2}}(F)}+\frac{15 e^2 \sqrt{d+e x} F^{c (a+b x)}}{4 b^3 c^3 \log ^3(F)}-\frac{5 e (d+e x)^{3/2} F^{c (a+b x)}}{2 b^2 c^2 \log ^2(F)}+\frac{(d+e x)^{5/2} F^{c (a+b x)}}{b c \log (F)}","-\frac{15 \sqrt{\pi } e^{5/2} F^{c \left(a-\frac{b d}{e}\right)} \text{Erfi}\left(\frac{\sqrt{b} \sqrt{c} \sqrt{\log (F)} \sqrt{d+e x}}{\sqrt{e}}\right)}{8 b^{7/2} c^{7/2} \log ^{\frac{7}{2}}(F)}+\frac{15 e^2 \sqrt{d+e x} F^{c (a+b x)}}{4 b^3 c^3 \log ^3(F)}-\frac{5 e (d+e x)^{3/2} F^{c (a+b x)}}{2 b^2 c^2 \log ^2(F)}+\frac{(d+e x)^{5/2} F^{c (a+b x)}}{b c \log (F)}",1,"(-15*e^(5/2)*F^(c*(a - (b*d)/e))*Sqrt[Pi]*Erfi[(Sqrt[b]*Sqrt[c]*Sqrt[d + e*x]*Sqrt[Log[F]])/Sqrt[e]])/(8*b^(7/2)*c^(7/2)*Log[F]^(7/2)) + (15*e^2*F^(c*(a + b*x))*Sqrt[d + e*x])/(4*b^3*c^3*Log[F]^3) - (5*e*F^(c*(a + b*x))*(d + e*x)^(3/2))/(2*b^2*c^2*Log[F]^2) + (F^(c*(a + b*x))*(d + e*x)^(5/2))/(b*c*Log[F])","A",5,3,19,0.1579,1,"{2176, 2180, 2204}"
41,1,138,0,0.1193701,"\int F^{c (a+b x)} (d+e x)^{3/2} \, dx","Int[F^(c*(a + b*x))*(d + e*x)^(3/2),x]","\frac{3 \sqrt{\pi } e^{3/2} F^{c \left(a-\frac{b d}{e}\right)} \text{Erfi}\left(\frac{\sqrt{b} \sqrt{c} \sqrt{\log (F)} \sqrt{d+e x}}{\sqrt{e}}\right)}{4 b^{5/2} c^{5/2} \log ^{\frac{5}{2}}(F)}-\frac{3 e \sqrt{d+e x} F^{c (a+b x)}}{2 b^2 c^2 \log ^2(F)}+\frac{(d+e x)^{3/2} F^{c (a+b x)}}{b c \log (F)}","\frac{3 \sqrt{\pi } e^{3/2} F^{c \left(a-\frac{b d}{e}\right)} \text{Erfi}\left(\frac{\sqrt{b} \sqrt{c} \sqrt{\log (F)} \sqrt{d+e x}}{\sqrt{e}}\right)}{4 b^{5/2} c^{5/2} \log ^{\frac{5}{2}}(F)}-\frac{3 e \sqrt{d+e x} F^{c (a+b x)}}{2 b^2 c^2 \log ^2(F)}+\frac{(d+e x)^{3/2} F^{c (a+b x)}}{b c \log (F)}",1,"(3*e^(3/2)*F^(c*(a - (b*d)/e))*Sqrt[Pi]*Erfi[(Sqrt[b]*Sqrt[c]*Sqrt[d + e*x]*Sqrt[Log[F]])/Sqrt[e]])/(4*b^(5/2)*c^(5/2)*Log[F]^(5/2)) - (3*e*F^(c*(a + b*x))*Sqrt[d + e*x])/(2*b^2*c^2*Log[F]^2) + (F^(c*(a + b*x))*(d + e*x)^(3/2))/(b*c*Log[F])","A",4,3,19,0.1579,1,"{2176, 2180, 2204}"
42,1,105,0,0.0772365,"\int F^{c (a+b x)} \sqrt{d+e x} \, dx","Int[F^(c*(a + b*x))*Sqrt[d + e*x],x]","\frac{\sqrt{d+e x} F^{c (a+b x)}}{b c \log (F)}-\frac{\sqrt{\pi } \sqrt{e} F^{c \left(a-\frac{b d}{e}\right)} \text{Erfi}\left(\frac{\sqrt{b} \sqrt{c} \sqrt{\log (F)} \sqrt{d+e x}}{\sqrt{e}}\right)}{2 b^{3/2} c^{3/2} \log ^{\frac{3}{2}}(F)}","\frac{\sqrt{d+e x} F^{c (a+b x)}}{b c \log (F)}-\frac{\sqrt{\pi } \sqrt{e} F^{c \left(a-\frac{b d}{e}\right)} \text{Erfi}\left(\frac{\sqrt{b} \sqrt{c} \sqrt{\log (F)} \sqrt{d+e x}}{\sqrt{e}}\right)}{2 b^{3/2} c^{3/2} \log ^{\frac{3}{2}}(F)}",1,"-(Sqrt[e]*F^(c*(a - (b*d)/e))*Sqrt[Pi]*Erfi[(Sqrt[b]*Sqrt[c]*Sqrt[d + e*x]*Sqrt[Log[F]])/Sqrt[e]])/(2*b^(3/2)*c^(3/2)*Log[F]^(3/2)) + (F^(c*(a + b*x))*Sqrt[d + e*x])/(b*c*Log[F])","A",3,3,19,0.1579,1,"{2176, 2180, 2204}"
43,1,72,0,0.0454783,"\int \frac{F^{c (a+b x)}}{\sqrt{d+e x}} \, dx","Int[F^(c*(a + b*x))/Sqrt[d + e*x],x]","\frac{\sqrt{\pi } F^{c \left(a-\frac{b d}{e}\right)} \text{Erfi}\left(\frac{\sqrt{b} \sqrt{c} \sqrt{\log (F)} \sqrt{d+e x}}{\sqrt{e}}\right)}{\sqrt{b} \sqrt{c} \sqrt{e} \sqrt{\log (F)}}","\frac{\sqrt{\pi } F^{c \left(a-\frac{b d}{e}\right)} \text{Erfi}\left(\frac{\sqrt{b} \sqrt{c} \sqrt{\log (F)} \sqrt{d+e x}}{\sqrt{e}}\right)}{\sqrt{b} \sqrt{c} \sqrt{e} \sqrt{\log (F)}}",1,"(F^(c*(a - (b*d)/e))*Sqrt[Pi]*Erfi[(Sqrt[b]*Sqrt[c]*Sqrt[d + e*x]*Sqrt[Log[F]])/Sqrt[e]])/(Sqrt[b]*Sqrt[c]*Sqrt[e]*Sqrt[Log[F]])","A",2,2,19,0.1053,1,"{2180, 2204}"
44,1,97,0,0.0854085,"\int \frac{F^{c (a+b x)}}{(d+e x)^{3/2}} \, dx","Int[F^(c*(a + b*x))/(d + e*x)^(3/2),x]","\frac{2 \sqrt{\pi } \sqrt{b} \sqrt{c} \sqrt{\log (F)} F^{c \left(a-\frac{b d}{e}\right)} \text{Erfi}\left(\frac{\sqrt{b} \sqrt{c} \sqrt{\log (F)} \sqrt{d+e x}}{\sqrt{e}}\right)}{e^{3/2}}-\frac{2 F^{c (a+b x)}}{e \sqrt{d+e x}}","\frac{2 \sqrt{\pi } \sqrt{b} \sqrt{c} \sqrt{\log (F)} F^{c \left(a-\frac{b d}{e}\right)} \text{Erfi}\left(\frac{\sqrt{b} \sqrt{c} \sqrt{\log (F)} \sqrt{d+e x}}{\sqrt{e}}\right)}{e^{3/2}}-\frac{2 F^{c (a+b x)}}{e \sqrt{d+e x}}",1,"(-2*F^(c*(a + b*x)))/(e*Sqrt[d + e*x]) + (2*Sqrt[b]*Sqrt[c]*F^(c*(a - (b*d)/e))*Sqrt[Pi]*Erfi[(Sqrt[b]*Sqrt[c]*Sqrt[d + e*x]*Sqrt[Log[F]])/Sqrt[e]]*Sqrt[Log[F]])/e^(3/2)","A",3,3,19,0.1579,1,"{2177, 2180, 2204}"
45,1,130,0,0.1193721,"\int \frac{F^{c (a+b x)}}{(d+e x)^{5/2}} \, dx","Int[F^(c*(a + b*x))/(d + e*x)^(5/2),x]","\frac{4 \sqrt{\pi } b^{3/2} c^{3/2} \log ^{\frac{3}{2}}(F) F^{c \left(a-\frac{b d}{e}\right)} \text{Erfi}\left(\frac{\sqrt{b} \sqrt{c} \sqrt{\log (F)} \sqrt{d+e x}}{\sqrt{e}}\right)}{3 e^{5/2}}-\frac{4 b c \log (F) F^{c (a+b x)}}{3 e^2 \sqrt{d+e x}}-\frac{2 F^{c (a+b x)}}{3 e (d+e x)^{3/2}}","\frac{4 \sqrt{\pi } b^{3/2} c^{3/2} \log ^{\frac{3}{2}}(F) F^{c \left(a-\frac{b d}{e}\right)} \text{Erfi}\left(\frac{\sqrt{b} \sqrt{c} \sqrt{\log (F)} \sqrt{d+e x}}{\sqrt{e}}\right)}{3 e^{5/2}}-\frac{4 b c \log (F) F^{c (a+b x)}}{3 e^2 \sqrt{d+e x}}-\frac{2 F^{c (a+b x)}}{3 e (d+e x)^{3/2}}",1,"(-2*F^(c*(a + b*x)))/(3*e*(d + e*x)^(3/2)) - (4*b*c*F^(c*(a + b*x))*Log[F])/(3*e^2*Sqrt[d + e*x]) + (4*b^(3/2)*c^(3/2)*F^(c*(a - (b*d)/e))*Sqrt[Pi]*Erfi[(Sqrt[b]*Sqrt[c]*Sqrt[d + e*x]*Sqrt[Log[F]])/Sqrt[e]]*Log[F]^(3/2))/(3*e^(5/2))","A",4,3,19,0.1579,1,"{2177, 2180, 2204}"
46,1,165,0,0.1646625,"\int \frac{F^{c (a+b x)}}{(d+e x)^{7/2}} \, dx","Int[F^(c*(a + b*x))/(d + e*x)^(7/2),x]","\frac{8 \sqrt{\pi } b^{5/2} c^{5/2} \log ^{\frac{5}{2}}(F) F^{c \left(a-\frac{b d}{e}\right)} \text{Erfi}\left(\frac{\sqrt{b} \sqrt{c} \sqrt{\log (F)} \sqrt{d+e x}}{\sqrt{e}}\right)}{15 e^{7/2}}-\frac{8 b^2 c^2 \log ^2(F) F^{c (a+b x)}}{15 e^3 \sqrt{d+e x}}-\frac{4 b c \log (F) F^{c (a+b x)}}{15 e^2 (d+e x)^{3/2}}-\frac{2 F^{c (a+b x)}}{5 e (d+e x)^{5/2}}","\frac{8 \sqrt{\pi } b^{5/2} c^{5/2} \log ^{\frac{5}{2}}(F) F^{c \left(a-\frac{b d}{e}\right)} \text{Erfi}\left(\frac{\sqrt{b} \sqrt{c} \sqrt{\log (F)} \sqrt{d+e x}}{\sqrt{e}}\right)}{15 e^{7/2}}-\frac{8 b^2 c^2 \log ^2(F) F^{c (a+b x)}}{15 e^3 \sqrt{d+e x}}-\frac{4 b c \log (F) F^{c (a+b x)}}{15 e^2 (d+e x)^{3/2}}-\frac{2 F^{c (a+b x)}}{5 e (d+e x)^{5/2}}",1,"(-2*F^(c*(a + b*x)))/(5*e*(d + e*x)^(5/2)) - (4*b*c*F^(c*(a + b*x))*Log[F])/(15*e^2*(d + e*x)^(3/2)) - (8*b^2*c^2*F^(c*(a + b*x))*Log[F]^2)/(15*e^3*Sqrt[d + e*x]) + (8*b^(5/2)*c^(5/2)*F^(c*(a - (b*d)/e))*Sqrt[Pi]*Erfi[(Sqrt[b]*Sqrt[c]*Sqrt[d + e*x]*Sqrt[Log[F]])/Sqrt[e]]*Log[F]^(5/2))/(15*e^(7/2))","A",5,3,19,0.1579,1,"{2177, 2180, 2204}"
47,1,200,0,0.2033838,"\int \frac{F^{c (a+b x)}}{(d+e x)^{9/2}} \, dx","Int[F^(c*(a + b*x))/(d + e*x)^(9/2),x]","\frac{16 \sqrt{\pi } b^{7/2} c^{7/2} \log ^{\frac{7}{2}}(F) F^{c \left(a-\frac{b d}{e}\right)} \text{Erfi}\left(\frac{\sqrt{b} \sqrt{c} \sqrt{\log (F)} \sqrt{d+e x}}{\sqrt{e}}\right)}{105 e^{9/2}}-\frac{16 b^3 c^3 \log ^3(F) F^{c (a+b x)}}{105 e^4 \sqrt{d+e x}}-\frac{8 b^2 c^2 \log ^2(F) F^{c (a+b x)}}{105 e^3 (d+e x)^{3/2}}-\frac{4 b c \log (F) F^{c (a+b x)}}{35 e^2 (d+e x)^{5/2}}-\frac{2 F^{c (a+b x)}}{7 e (d+e x)^{7/2}}","\frac{16 \sqrt{\pi } b^{7/2} c^{7/2} \log ^{\frac{7}{2}}(F) F^{c \left(a-\frac{b d}{e}\right)} \text{Erfi}\left(\frac{\sqrt{b} \sqrt{c} \sqrt{\log (F)} \sqrt{d+e x}}{\sqrt{e}}\right)}{105 e^{9/2}}-\frac{16 b^3 c^3 \log ^3(F) F^{c (a+b x)}}{105 e^4 \sqrt{d+e x}}-\frac{8 b^2 c^2 \log ^2(F) F^{c (a+b x)}}{105 e^3 (d+e x)^{3/2}}-\frac{4 b c \log (F) F^{c (a+b x)}}{35 e^2 (d+e x)^{5/2}}-\frac{2 F^{c (a+b x)}}{7 e (d+e x)^{7/2}}",1,"(-2*F^(c*(a + b*x)))/(7*e*(d + e*x)^(7/2)) - (4*b*c*F^(c*(a + b*x))*Log[F])/(35*e^2*(d + e*x)^(5/2)) - (8*b^2*c^2*F^(c*(a + b*x))*Log[F]^2)/(105*e^3*(d + e*x)^(3/2)) - (16*b^3*c^3*F^(c*(a + b*x))*Log[F]^3)/(105*e^4*Sqrt[d + e*x]) + (16*b^(7/2)*c^(7/2)*F^(c*(a - (b*d)/e))*Sqrt[Pi]*Erfi[(Sqrt[b]*Sqrt[c]*Sqrt[d + e*x]*Sqrt[Log[F]])/Sqrt[e]]*Log[F]^(7/2))/(105*e^(9/2))","A",6,3,19,0.1579,1,"{2177, 2180, 2204}"
48,1,151,0,0.154831,"\int e^{-b x} x^{13/2} \, dx","Int[x^(13/2)/E^(b*x),x]","\frac{135135 \sqrt{\pi } \text{Erf}\left(\sqrt{b} \sqrt{x}\right)}{128 b^{15/2}}-\frac{13 x^{11/2} e^{-b x}}{2 b^2}-\frac{143 x^{9/2} e^{-b x}}{4 b^3}-\frac{1287 x^{7/2} e^{-b x}}{8 b^4}-\frac{9009 x^{5/2} e^{-b x}}{16 b^5}-\frac{45045 x^{3/2} e^{-b x}}{32 b^6}-\frac{135135 \sqrt{x} e^{-b x}}{64 b^7}-\frac{x^{13/2} e^{-b x}}{b}","\frac{135135 \sqrt{\pi } \text{Erf}\left(\sqrt{b} \sqrt{x}\right)}{128 b^{15/2}}-\frac{13 x^{11/2} e^{-b x}}{2 b^2}-\frac{143 x^{9/2} e^{-b x}}{4 b^3}-\frac{1287 x^{7/2} e^{-b x}}{8 b^4}-\frac{9009 x^{5/2} e^{-b x}}{16 b^5}-\frac{45045 x^{3/2} e^{-b x}}{32 b^6}-\frac{135135 \sqrt{x} e^{-b x}}{64 b^7}-\frac{x^{13/2} e^{-b x}}{b}",1,"(-135135*Sqrt[x])/(64*b^7*E^(b*x)) - (45045*x^(3/2))/(32*b^6*E^(b*x)) - (9009*x^(5/2))/(16*b^5*E^(b*x)) - (1287*x^(7/2))/(8*b^4*E^(b*x)) - (143*x^(9/2))/(4*b^3*E^(b*x)) - (13*x^(11/2))/(2*b^2*E^(b*x)) - x^(13/2)/(b*E^(b*x)) + (135135*Sqrt[Pi]*Erf[Sqrt[b]*Sqrt[x]])/(128*b^(15/2))","A",9,3,12,0.2500,1,"{2176, 2180, 2205}"
49,1,71,0,0.0313849,"\int F^{c (a+b x)} (d+e x)^{4/3} \, dx","Int[F^(c*(a + b*x))*(d + e*x)^(4/3),x]","-\frac{e \sqrt[3]{d+e x} F^{c \left(a-\frac{b d}{e}\right)} \text{Gamma}\left(\frac{7}{3},-\frac{b c \log (F) (d+e x)}{e}\right)}{b^2 c^2 \log ^2(F) \sqrt[3]{-\frac{b c \log (F) (d+e x)}{e}}}","-\frac{e \sqrt[3]{d+e x} F^{c \left(a-\frac{b d}{e}\right)} \text{Gamma}\left(\frac{7}{3},-\frac{b c \log (F) (d+e x)}{e}\right)}{b^2 c^2 \log ^2(F) \sqrt[3]{-\frac{b c \log (F) (d+e x)}{e}}}",1,"-((e*F^(c*(a - (b*d)/e))*(d + e*x)^(1/3)*Gamma[7/3, -((b*c*(d + e*x)*Log[F])/e)])/(b^2*c^2*Log[F]^2*(-((b*c*(d + e*x)*Log[F])/e))^(1/3)))","A",1,1,19,0.05263,1,"{2181}"
50,1,98,0,0.1043814,"\int \left(F^{c (a+b x)}\right)^n (d+e x)^{4/3} \, dx","Int[(F^(c*(a + b*x)))^n*(d + e*x)^(4/3),x]","-\frac{e \sqrt[3]{d+e x} \left(F^{c (a+b x)}\right)^n F^{c n \left(a-\frac{b d}{e}\right)-c n (a+b x)} \text{Gamma}\left(\frac{7}{3},-\frac{b c n \log (F) (d+e x)}{e}\right)}{b^2 c^2 n^2 \log ^2(F) \sqrt[3]{-\frac{b c n \log (F) (d+e x)}{e}}}","-\frac{e \sqrt[3]{d+e x} \left(F^{c (a+b x)}\right)^n F^{c n \left(a-\frac{b d}{e}\right)-c n (a+b x)} \text{Gamma}\left(\frac{7}{3},-\frac{b c n \log (F) (d+e x)}{e}\right)}{b^2 c^2 n^2 \log ^2(F) \sqrt[3]{-\frac{b c n \log (F) (d+e x)}{e}}}",1,"-((e*F^(c*(a - (b*d)/e)*n - c*n*(a + b*x))*(F^(c*(a + b*x)))^n*(d + e*x)^(1/3)*Gamma[7/3, -((b*c*n*(d + e*x)*Log[F])/e)])/(b^2*c^2*n^2*Log[F]^2*(-((b*c*n*(d + e*x)*Log[F])/e))^(1/3)))","A",2,2,21,0.09524,1,"{2182, 2181}"
51,1,48,0,0.0171887,"\int F^{c (a+b x)} (d+e x) \, dx","Int[F^(c*(a + b*x))*(d + e*x),x]","\frac{(d+e x) F^{c (a+b x)}}{b c \log (F)}-\frac{e F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}","\frac{(d+e x) F^{c (a+b x)}}{b c \log (F)}-\frac{e F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}",1,"-((e*F^(c*(a + b*x)))/(b^2*c^2*Log[F]^2)) + (F^(c*(a + b*x))*(d + e*x))/(b*c*Log[F])","A",2,2,15,0.1333,1,"{2176, 2194}"
52,1,135,0,0.1025528,"\int F^{c (a+b x)} \left(d+e x+f x^2\right) \, dx","Int[F^(c*(a + b*x))*(d + e*x + f*x^2),x]","-\frac{e F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}-\frac{2 f x F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}+\frac{2 f F^{c (a+b x)}}{b^3 c^3 \log ^3(F)}+\frac{d F^{c (a+b x)}}{b c \log (F)}+\frac{e x F^{c (a+b x)}}{b c \log (F)}+\frac{f x^2 F^{c (a+b x)}}{b c \log (F)}","-\frac{e F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}-\frac{2 f x F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}+\frac{2 f F^{c (a+b x)}}{b^3 c^3 \log ^3(F)}+\frac{d F^{c (a+b x)}}{b c \log (F)}+\frac{e x F^{c (a+b x)}}{b c \log (F)}+\frac{f x^2 F^{c (a+b x)}}{b c \log (F)}",1,"(2*f*F^(c*(a + b*x)))/(b^3*c^3*Log[F]^3) - (e*F^(c*(a + b*x)))/(b^2*c^2*Log[F]^2) - (2*f*F^(c*(a + b*x))*x)/(b^2*c^2*Log[F]^2) + (d*F^(c*(a + b*x)))/(b*c*Log[F]) + (e*F^(c*(a + b*x))*x)/(b*c*Log[F]) + (f*F^(c*(a + b*x))*x^2)/(b*c*Log[F])","A",8,3,20,0.1500,1,"{2196, 2194, 2176}"
53,1,229,0,0.1913016,"\int F^{c (a+b x)} \left(d+e x+f x^2+g x^3\right) \, dx","Int[F^(c*(a + b*x))*(d + e*x + f*x^2 + g*x^3),x]","-\frac{e F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}-\frac{2 f x F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}+\frac{2 f F^{c (a+b x)}}{b^3 c^3 \log ^3(F)}-\frac{3 g x^2 F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}+\frac{6 g x F^{c (a+b x)}}{b^3 c^3 \log ^3(F)}-\frac{6 g F^{c (a+b x)}}{b^4 c^4 \log ^4(F)}+\frac{d F^{c (a+b x)}}{b c \log (F)}+\frac{e x F^{c (a+b x)}}{b c \log (F)}+\frac{f x^2 F^{c (a+b x)}}{b c \log (F)}+\frac{g x^3 F^{c (a+b x)}}{b c \log (F)}","-\frac{e F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}-\frac{2 f x F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}+\frac{2 f F^{c (a+b x)}}{b^3 c^3 \log ^3(F)}-\frac{3 g x^2 F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}+\frac{6 g x F^{c (a+b x)}}{b^3 c^3 \log ^3(F)}-\frac{6 g F^{c (a+b x)}}{b^4 c^4 \log ^4(F)}+\frac{d F^{c (a+b x)}}{b c \log (F)}+\frac{e x F^{c (a+b x)}}{b c \log (F)}+\frac{f x^2 F^{c (a+b x)}}{b c \log (F)}+\frac{g x^3 F^{c (a+b x)}}{b c \log (F)}",1,"(-6*F^(c*(a + b*x))*g)/(b^4*c^4*Log[F]^4) + (2*f*F^(c*(a + b*x)))/(b^3*c^3*Log[F]^3) + (6*F^(c*(a + b*x))*g*x)/(b^3*c^3*Log[F]^3) - (e*F^(c*(a + b*x)))/(b^2*c^2*Log[F]^2) - (2*f*F^(c*(a + b*x))*x)/(b^2*c^2*Log[F]^2) - (3*F^(c*(a + b*x))*g*x^2)/(b^2*c^2*Log[F]^2) + (d*F^(c*(a + b*x)))/(b*c*Log[F]) + (e*F^(c*(a + b*x))*x)/(b*c*Log[F]) + (f*F^(c*(a + b*x))*x^2)/(b*c*Log[F]) + (F^(c*(a + b*x))*g*x^3)/(b*c*Log[F])","A",12,3,25,0.1200,1,"{2196, 2194, 2176}"
54,1,348,0,0.3122625,"\int F^{c (a+b x)} \left(d+e x+f x^2+g x^3+h x^4\right) \, dx","Int[F^(c*(a + b*x))*(d + e*x + f*x^2 + g*x^3 + h*x^4),x]","-\frac{e F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}-\frac{2 f x F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}+\frac{2 f F^{c (a+b x)}}{b^3 c^3 \log ^3(F)}-\frac{3 g x^2 F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}+\frac{6 g x F^{c (a+b x)}}{b^3 c^3 \log ^3(F)}-\frac{6 g F^{c (a+b x)}}{b^4 c^4 \log ^4(F)}-\frac{4 h x^3 F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}+\frac{12 h x^2 F^{c (a+b x)}}{b^3 c^3 \log ^3(F)}-\frac{24 h x F^{c (a+b x)}}{b^4 c^4 \log ^4(F)}+\frac{24 h F^{c (a+b x)}}{b^5 c^5 \log ^5(F)}+\frac{d F^{c (a+b x)}}{b c \log (F)}+\frac{e x F^{c (a+b x)}}{b c \log (F)}+\frac{f x^2 F^{c (a+b x)}}{b c \log (F)}+\frac{g x^3 F^{c (a+b x)}}{b c \log (F)}+\frac{h x^4 F^{c (a+b x)}}{b c \log (F)}","-\frac{e F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}-\frac{2 f x F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}+\frac{2 f F^{c (a+b x)}}{b^3 c^3 \log ^3(F)}-\frac{3 g x^2 F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}+\frac{6 g x F^{c (a+b x)}}{b^3 c^3 \log ^3(F)}-\frac{6 g F^{c (a+b x)}}{b^4 c^4 \log ^4(F)}-\frac{4 h x^3 F^{c (a+b x)}}{b^2 c^2 \log ^2(F)}+\frac{12 h x^2 F^{c (a+b x)}}{b^3 c^3 \log ^3(F)}-\frac{24 h x F^{c (a+b x)}}{b^4 c^4 \log ^4(F)}+\frac{24 h F^{c (a+b x)}}{b^5 c^5 \log ^5(F)}+\frac{d F^{c (a+b x)}}{b c \log (F)}+\frac{e x F^{c (a+b x)}}{b c \log (F)}+\frac{f x^2 F^{c (a+b x)}}{b c \log (F)}+\frac{g x^3 F^{c (a+b x)}}{b c \log (F)}+\frac{h x^4 F^{c (a+b x)}}{b c \log (F)}",1,"(24*F^(c*(a + b*x))*h)/(b^5*c^5*Log[F]^5) - (6*F^(c*(a + b*x))*g)/(b^4*c^4*Log[F]^4) - (24*F^(c*(a + b*x))*h*x)/(b^4*c^4*Log[F]^4) + (2*f*F^(c*(a + b*x)))/(b^3*c^3*Log[F]^3) + (6*F^(c*(a + b*x))*g*x)/(b^3*c^3*Log[F]^3) + (12*F^(c*(a + b*x))*h*x^2)/(b^3*c^3*Log[F]^3) - (e*F^(c*(a + b*x)))/(b^2*c^2*Log[F]^2) - (2*f*F^(c*(a + b*x))*x)/(b^2*c^2*Log[F]^2) - (3*F^(c*(a + b*x))*g*x^2)/(b^2*c^2*Log[F]^2) - (4*F^(c*(a + b*x))*h*x^3)/(b^2*c^2*Log[F]^2) + (d*F^(c*(a + b*x)))/(b*c*Log[F]) + (e*F^(c*(a + b*x))*x)/(b*c*Log[F]) + (f*F^(c*(a + b*x))*x^2)/(b*c*Log[F]) + (F^(c*(a + b*x))*g*x^3)/(b*c*Log[F]) + (F^(c*(a + b*x))*h*x^4)/(b*c*Log[F])","A",17,3,30,0.1000,1,"{2196, 2194, 2176}"
55,1,116,0,0.174801,"\int e^{-a-b x} x^m (a+b x)^3 \, dx","Int[E^(-a - b*x)*x^m*(a + b*x)^3,x]","-\frac{a^3 e^{-a} x^m (b x)^{-m} \text{Gamma}(m+1,b x)}{b}-\frac{3 a^2 e^{-a} x^m (b x)^{-m} \text{Gamma}(m+2,b x)}{b}-\frac{3 a e^{-a} x^m (b x)^{-m} \text{Gamma}(m+3,b x)}{b}-\frac{e^{-a} x^m (b x)^{-m} \text{Gamma}(m+4,b x)}{b}","-\frac{a^3 e^{-a} x^m (b x)^{-m} \text{Gamma}(m+1,b x)}{b}-\frac{3 a^2 e^{-a} x^m (b x)^{-m} \text{Gamma}(m+2,b x)}{b}-\frac{3 a e^{-a} x^m (b x)^{-m} \text{Gamma}(m+3,b x)}{b}-\frac{e^{-a} x^m (b x)^{-m} \text{Gamma}(m+4,b x)}{b}",1,"-((a^3*x^m*Gamma[1 + m, b*x])/(b*E^a*(b*x)^m)) - (3*a^2*x^m*Gamma[2 + m, b*x])/(b*E^a*(b*x)^m) - (3*a*x^m*Gamma[3 + m, b*x])/(b*E^a*(b*x)^m) - (x^m*Gamma[4 + m, b*x])/(b*E^a*(b*x)^m)","A",6,2,21,0.09524,1,"{2199, 2181}"
56,1,397,0,0.516056,"\int e^{-a-b x} x^3 (a+b x)^3 \, dx","Int[E^(-a - b*x)*x^3*(a + b*x)^3,x]","-\frac{3 a^3 x^2 e^{-a-b x}}{b^2}-\frac{36 a^2 x^2 e^{-a-b x}}{b^2}-\frac{6 a^3 x e^{-a-b x}}{b^3}-\frac{72 a^2 x e^{-a-b x}}{b^3}-\frac{6 a^3 e^{-a-b x}}{b^4}-\frac{72 a^2 e^{-a-b x}}{b^4}-3 a^2 x^4 e^{-a-b x}-\frac{a^3 x^3 e^{-a-b x}}{b}-\frac{12 a^2 x^3 e^{-a-b x}}{b}-b^2 x^6 e^{-a-b x}-\frac{180 a x^2 e^{-a-b x}}{b^2}-\frac{360 x^2 e^{-a-b x}}{b^2}-\frac{360 a x e^{-a-b x}}{b^3}-\frac{720 x e^{-a-b x}}{b^3}-\frac{360 a e^{-a-b x}}{b^4}-\frac{720 e^{-a-b x}}{b^4}-3 a b x^5 e^{-a-b x}-6 b x^5 e^{-a-b x}-15 a x^4 e^{-a-b x}-30 x^4 e^{-a-b x}-\frac{60 a x^3 e^{-a-b x}}{b}-\frac{120 x^3 e^{-a-b x}}{b}","-\frac{3 a^3 x^2 e^{-a-b x}}{b^2}-\frac{36 a^2 x^2 e^{-a-b x}}{b^2}-\frac{6 a^3 x e^{-a-b x}}{b^3}-\frac{72 a^2 x e^{-a-b x}}{b^3}-\frac{6 a^3 e^{-a-b x}}{b^4}-\frac{72 a^2 e^{-a-b x}}{b^4}-3 a^2 x^4 e^{-a-b x}-\frac{a^3 x^3 e^{-a-b x}}{b}-\frac{12 a^2 x^3 e^{-a-b x}}{b}-b^2 x^6 e^{-a-b x}-\frac{180 a x^2 e^{-a-b x}}{b^2}-\frac{360 x^2 e^{-a-b x}}{b^2}-\frac{360 a x e^{-a-b x}}{b^3}-\frac{720 x e^{-a-b x}}{b^3}-\frac{360 a e^{-a-b x}}{b^4}-\frac{720 e^{-a-b x}}{b^4}-3 a b x^5 e^{-a-b x}-6 b x^5 e^{-a-b x}-15 a x^4 e^{-a-b x}-30 x^4 e^{-a-b x}-\frac{60 a x^3 e^{-a-b x}}{b}-\frac{120 x^3 e^{-a-b x}}{b}",1,"(-720*E^(-a - b*x))/b^4 - (360*a*E^(-a - b*x))/b^4 - (72*a^2*E^(-a - b*x))/b^4 - (6*a^3*E^(-a - b*x))/b^4 - (720*E^(-a - b*x)*x)/b^3 - (360*a*E^(-a - b*x)*x)/b^3 - (72*a^2*E^(-a - b*x)*x)/b^3 - (6*a^3*E^(-a - b*x)*x)/b^3 - (360*E^(-a - b*x)*x^2)/b^2 - (180*a*E^(-a - b*x)*x^2)/b^2 - (36*a^2*E^(-a - b*x)*x^2)/b^2 - (3*a^3*E^(-a - b*x)*x^2)/b^2 - (120*E^(-a - b*x)*x^3)/b - (60*a*E^(-a - b*x)*x^3)/b - (12*a^2*E^(-a - b*x)*x^3)/b - (a^3*E^(-a - b*x)*x^3)/b - 30*E^(-a - b*x)*x^4 - 15*a*E^(-a - b*x)*x^4 - 3*a^2*E^(-a - b*x)*x^4 - 6*b*E^(-a - b*x)*x^5 - 3*a*b*E^(-a - b*x)*x^5 - b^2*E^(-a - b*x)*x^6","A",24,3,21,0.1429,1,"{2196, 2176, 2194}"
57,1,318,0,0.4124679,"\int e^{-a-b x} x^2 (a+b x)^3 \, dx","Int[E^(-a - b*x)*x^2*(a + b*x)^3,x]","-\frac{2 a^3 x e^{-a-b x}}{b^2}-\frac{18 a^2 x e^{-a-b x}}{b^2}-\frac{2 a^3 e^{-a-b x}}{b^3}-\frac{18 a^2 e^{-a-b x}}{b^3}-3 a^2 x^3 e^{-a-b x}-\frac{a^3 x^2 e^{-a-b x}}{b}-\frac{9 a^2 x^2 e^{-a-b x}}{b}-b^2 x^5 e^{-a-b x}-\frac{72 a x e^{-a-b x}}{b^2}-\frac{120 x e^{-a-b x}}{b^2}-\frac{72 a e^{-a-b x}}{b^3}-\frac{120 e^{-a-b x}}{b^3}-3 a b x^4 e^{-a-b x}-5 b x^4 e^{-a-b x}-12 a x^3 e^{-a-b x}-20 x^3 e^{-a-b x}-\frac{36 a x^2 e^{-a-b x}}{b}-\frac{60 x^2 e^{-a-b x}}{b}","-\frac{2 a^3 x e^{-a-b x}}{b^2}-\frac{18 a^2 x e^{-a-b x}}{b^2}-\frac{2 a^3 e^{-a-b x}}{b^3}-\frac{18 a^2 e^{-a-b x}}{b^3}-3 a^2 x^3 e^{-a-b x}-\frac{a^3 x^2 e^{-a-b x}}{b}-\frac{9 a^2 x^2 e^{-a-b x}}{b}-b^2 x^5 e^{-a-b x}-\frac{72 a x e^{-a-b x}}{b^2}-\frac{120 x e^{-a-b x}}{b^2}-\frac{72 a e^{-a-b x}}{b^3}-\frac{120 e^{-a-b x}}{b^3}-3 a b x^4 e^{-a-b x}-5 b x^4 e^{-a-b x}-12 a x^3 e^{-a-b x}-20 x^3 e^{-a-b x}-\frac{36 a x^2 e^{-a-b x}}{b}-\frac{60 x^2 e^{-a-b x}}{b}",1,"(-120*E^(-a - b*x))/b^3 - (72*a*E^(-a - b*x))/b^3 - (18*a^2*E^(-a - b*x))/b^3 - (2*a^3*E^(-a - b*x))/b^3 - (120*E^(-a - b*x)*x)/b^2 - (72*a*E^(-a - b*x)*x)/b^2 - (18*a^2*E^(-a - b*x)*x)/b^2 - (2*a^3*E^(-a - b*x)*x)/b^2 - (60*E^(-a - b*x)*x^2)/b - (36*a*E^(-a - b*x)*x^2)/b - (9*a^2*E^(-a - b*x)*x^2)/b - (a^3*E^(-a - b*x)*x^2)/b - 20*E^(-a - b*x)*x^3 - 12*a*E^(-a - b*x)*x^3 - 3*a^2*E^(-a - b*x)*x^3 - 5*b*E^(-a - b*x)*x^4 - 3*a*b*E^(-a - b*x)*x^4 - b^2*E^(-a - b*x)*x^5","A",20,3,21,0.1429,1,"{2196, 2176, 2194}"
58,1,184,0,0.2419164,"\int e^{-a-b x} x (a+b x)^3 \, dx","Int[E^(-a - b*x)*x*(a + b*x)^3,x]","-\frac{e^{-a-b x} (a+b x)^4}{b^2}+\frac{a e^{-a-b x} (a+b x)^3}{b^2}-\frac{4 e^{-a-b x} (a+b x)^3}{b^2}+\frac{3 a e^{-a-b x} (a+b x)^2}{b^2}-\frac{12 e^{-a-b x} (a+b x)^2}{b^2}+\frac{6 a e^{-a-b x} (a+b x)}{b^2}-\frac{24 e^{-a-b x} (a+b x)}{b^2}+\frac{6 a e^{-a-b x}}{b^2}-\frac{24 e^{-a-b x}}{b^2}","-\frac{e^{-a-b x} (a+b x)^4}{b^2}+\frac{a e^{-a-b x} (a+b x)^3}{b^2}-\frac{4 e^{-a-b x} (a+b x)^3}{b^2}+\frac{3 a e^{-a-b x} (a+b x)^2}{b^2}-\frac{12 e^{-a-b x} (a+b x)^2}{b^2}+\frac{6 a e^{-a-b x} (a+b x)}{b^2}-\frac{24 e^{-a-b x} (a+b x)}{b^2}+\frac{6 a e^{-a-b x}}{b^2}-\frac{24 e^{-a-b x}}{b^2}",1,"(-24*E^(-a - b*x))/b^2 + (6*a*E^(-a - b*x))/b^2 - (24*E^(-a - b*x)*(a + b*x))/b^2 + (6*a*E^(-a - b*x)*(a + b*x))/b^2 - (12*E^(-a - b*x)*(a + b*x)^2)/b^2 + (3*a*E^(-a - b*x)*(a + b*x)^2)/b^2 - (4*E^(-a - b*x)*(a + b*x)^3)/b^2 + (a*E^(-a - b*x)*(a + b*x)^3)/b^2 - (E^(-a - b*x)*(a + b*x)^4)/b^2","A",11,3,19,0.1579,1,"{2196, 2176, 2194}"
59,1,80,0,0.0683236,"\int e^{-a-b x} (a+b x)^3 \, dx","Int[E^(-a - b*x)*(a + b*x)^3,x]","-\frac{e^{-a-b x} (a+b x)^3}{b}-\frac{3 e^{-a-b x} (a+b x)^2}{b}-\frac{6 e^{-a-b x} (a+b x)}{b}-\frac{6 e^{-a-b x}}{b}","-\frac{e^{-a-b x} (a+b x)^3}{b}-\frac{3 e^{-a-b x} (a+b x)^2}{b}-\frac{6 e^{-a-b x} (a+b x)}{b}-\frac{6 e^{-a-b x}}{b}",1,"(-6*E^(-a - b*x))/b - (6*E^(-a - b*x)*(a + b*x))/b - (3*E^(-a - b*x)*(a + b*x)^2)/b - (E^(-a - b*x)*(a + b*x)^3)/b","A",4,2,18,0.1111,1,"{2176, 2194}"
60,1,102,0,0.155647,"\int \frac{e^{-a-b x} (a+b x)^3}{x} \, dx","Int[(E^(-a - b*x)*(a + b*x)^3)/x,x]","e^{-a} a^3 \text{Ei}(-b x)-3 a^2 e^{-a-b x}-b^2 x^2 e^{-a-b x}-3 a e^{-a-b x}-3 a b x e^{-a-b x}-2 e^{-a-b x}-2 b x e^{-a-b x}","e^{-a} a^3 \text{Ei}(-b x)-3 a^2 e^{-a-b x}-b^2 x^2 e^{-a-b x}-3 a e^{-a-b x}-3 a b x e^{-a-b x}-2 e^{-a-b x}-2 b x e^{-a-b x}",1,"-2*E^(-a - b*x) - 3*a*E^(-a - b*x) - 3*a^2*E^(-a - b*x) - 2*b*E^(-a - b*x)*x - 3*a*b*E^(-a - b*x)*x - b^2*E^(-a - b*x)*x^2 + (a^3*ExpIntegralEi[-(b*x)])/E^a","A",9,4,21,0.1905,1,"{2199, 2194, 2178, 2176}"
61,1,94,0,0.1608834,"\int \frac{e^{-a-b x} (a+b x)^3}{x^2} \, dx","Int[(E^(-a - b*x)*(a + b*x)^3)/x^2,x]","e^{-a} a^3 (-b) \text{Ei}(-b x)+3 e^{-a} a^2 b \text{Ei}(-b x)-\frac{a^3 e^{-a-b x}}{x}-b^2 x e^{-a-b x}-3 a b e^{-a-b x}-b e^{-a-b x}","e^{-a} a^3 (-b) \text{Ei}(-b x)+3 e^{-a} a^2 b \text{Ei}(-b x)-\frac{a^3 e^{-a-b x}}{x}-b^2 x e^{-a-b x}-3 a b e^{-a-b x}-b e^{-a-b x}",1,"-(b*E^(-a - b*x)) - 3*a*b*E^(-a - b*x) - (a^3*E^(-a - b*x))/x - b^2*E^(-a - b*x)*x + (3*a^2*b*ExpIntegralEi[-(b*x)])/E^a - (a^3*b*ExpIntegralEi[-(b*x)])/E^a","A",8,5,21,0.2381,1,"{2199, 2194, 2177, 2178, 2176}"
62,1,130,0,0.2133938,"\int \frac{e^{-a-b x} (a+b x)^3}{x^3} \, dx","Int[(E^(-a - b*x)*(a + b*x)^3)/x^3,x]","\frac{1}{2} e^{-a} a^3 b^2 \text{Ei}(-b x)-3 e^{-a} a^2 b^2 \text{Ei}(-b x)-\frac{a^3 e^{-a-b x}}{2 x^2}+\frac{a^3 b e^{-a-b x}}{2 x}-\frac{3 a^2 b e^{-a-b x}}{x}+3 e^{-a} a b^2 \text{Ei}(-b x)-b^2 e^{-a-b x}","\frac{1}{2} e^{-a} a^3 b^2 \text{Ei}(-b x)-3 e^{-a} a^2 b^2 \text{Ei}(-b x)-\frac{a^3 e^{-a-b x}}{2 x^2}+\frac{a^3 b e^{-a-b x}}{2 x}-\frac{3 a^2 b e^{-a-b x}}{x}+3 e^{-a} a b^2 \text{Ei}(-b x)-b^2 e^{-a-b x}",1,"-(b^2*E^(-a - b*x)) - (a^3*E^(-a - b*x))/(2*x^2) - (3*a^2*b*E^(-a - b*x))/x + (a^3*b*E^(-a - b*x))/(2*x) + (3*a*b^2*ExpIntegralEi[-(b*x)])/E^a - (3*a^2*b^2*ExpIntegralEi[-(b*x)])/E^a + (a^3*b^2*ExpIntegralEi[-(b*x)])/(2*E^a)","A",9,4,21,0.1905,1,"{2199, 2194, 2177, 2178}"
63,1,198,0,0.2904489,"\int \frac{e^{-a-b x} (a+b x)^3}{x^4} \, dx","Int[(E^(-a - b*x)*(a + b*x)^3)/x^4,x]","-\frac{1}{6} e^{-a} a^3 b^3 \text{Ei}(-b x)+\frac{3}{2} e^{-a} a^2 b^3 \text{Ei}(-b x)-\frac{a^3 b^2 e^{-a-b x}}{6 x}+\frac{3 a^2 b^2 e^{-a-b x}}{2 x}+\frac{a^3 b e^{-a-b x}}{6 x^2}-\frac{a^3 e^{-a-b x}}{3 x^3}-\frac{3 a^2 b e^{-a-b x}}{2 x^2}-3 e^{-a} a b^3 \text{Ei}(-b x)+e^{-a} b^3 \text{Ei}(-b x)-\frac{3 a b^2 e^{-a-b x}}{x}","-\frac{1}{6} e^{-a} a^3 b^3 \text{Ei}(-b x)+\frac{3}{2} e^{-a} a^2 b^3 \text{Ei}(-b x)-\frac{a^3 b^2 e^{-a-b x}}{6 x}+\frac{3 a^2 b^2 e^{-a-b x}}{2 x}+\frac{a^3 b e^{-a-b x}}{6 x^2}-\frac{a^3 e^{-a-b x}}{3 x^3}-\frac{3 a^2 b e^{-a-b x}}{2 x^2}-3 e^{-a} a b^3 \text{Ei}(-b x)+e^{-a} b^3 \text{Ei}(-b x)-\frac{3 a b^2 e^{-a-b x}}{x}",1,"-(a^3*E^(-a - b*x))/(3*x^3) - (3*a^2*b*E^(-a - b*x))/(2*x^2) + (a^3*b*E^(-a - b*x))/(6*x^2) - (3*a*b^2*E^(-a - b*x))/x + (3*a^2*b^2*E^(-a - b*x))/(2*x) - (a^3*b^2*E^(-a - b*x))/(6*x) + (b^3*ExpIntegralEi[-(b*x)])/E^a - (3*a*b^3*ExpIntegralEi[-(b*x)])/E^a + (3*a^2*b^3*ExpIntegralEi[-(b*x)])/(2*E^a) - (a^3*b^3*ExpIntegralEi[-(b*x)])/(6*E^a)","A",12,3,21,0.1429,1,"{2199, 2177, 2178}"
64,1,139,0,0.3091974,"\int F^{a+b (c+d x)} x^m (e+f x)^2 \, dx","Int[F^(a + b*(c + d*x))*x^m*(e + f*x)^2,x]","-\frac{2 e f x^m F^{a+b c} (-b d x \log (F))^{-m} \text{Gamma}(m+2,-b d x \log (F))}{b^2 d^2 \log ^2(F)}+\frac{f^2 x^m F^{a+b c} (-b d x \log (F))^{-m} \text{Gamma}(m+3,-b d x \log (F))}{b^3 d^3 \log ^3(F)}+\frac{e^2 x^m F^{a+b c} (-b d x \log (F))^{-m} \text{Gamma}(m+1,-b d x \log (F))}{b d \log (F)}","-\frac{2 e f x^m F^{a+b c} (-b d x \log (F))^{-m} \text{Gamma}(m+2,-b d x \log (F))}{b^2 d^2 \log ^2(F)}+\frac{f^2 x^m F^{a+b c} (-b d x \log (F))^{-m} \text{Gamma}(m+3,-b d x \log (F))}{b^3 d^3 \log ^3(F)}+\frac{e^2 x^m F^{a+b c} (-b d x \log (F))^{-m} \text{Gamma}(m+1,-b d x \log (F))}{b d \log (F)}",1,"(f^2*F^(a + b*c)*x^m*Gamma[3 + m, -(b*d*x*Log[F])])/(b^3*d^3*Log[F]^3*(-(b*d*x*Log[F]))^m) - (2*e*f*F^(a + b*c)*x^m*Gamma[2 + m, -(b*d*x*Log[F])])/(b^2*d^2*Log[F]^2*(-(b*d*x*Log[F]))^m) + (e^2*F^(a + b*c)*x^m*Gamma[1 + m, -(b*d*x*Log[F])])/(b*d*Log[F]*(-(b*d*x*Log[F]))^m)","A",5,2,22,0.09091,1,"{2199, 2181}"
65,1,414,0,0.6715408,"\int F^{a+b (c+d x)} x^3 (e+f x)^2 \, dx","Int[F^(a + b*(c + d*x))*x^3*(e + f*x)^2,x]","-\frac{3 e^2 x^2 F^{a+b c+b d x}}{b^2 d^2 \log ^2(F)}+\frac{6 e^2 x F^{a+b c+b d x}}{b^3 d^3 \log ^3(F)}-\frac{6 e^2 F^{a+b c+b d x}}{b^4 d^4 \log ^4(F)}-\frac{8 e f x^3 F^{a+b c+b d x}}{b^2 d^2 \log ^2(F)}+\frac{24 e f x^2 F^{a+b c+b d x}}{b^3 d^3 \log ^3(F)}-\frac{48 e f x F^{a+b c+b d x}}{b^4 d^4 \log ^4(F)}+\frac{48 e f F^{a+b c+b d x}}{b^5 d^5 \log ^5(F)}-\frac{5 f^2 x^4 F^{a+b c+b d x}}{b^2 d^2 \log ^2(F)}+\frac{20 f^2 x^3 F^{a+b c+b d x}}{b^3 d^3 \log ^3(F)}-\frac{60 f^2 x^2 F^{a+b c+b d x}}{b^4 d^4 \log ^4(F)}+\frac{120 f^2 x F^{a+b c+b d x}}{b^5 d^5 \log ^5(F)}-\frac{120 f^2 F^{a+b c+b d x}}{b^6 d^6 \log ^6(F)}+\frac{e^2 x^3 F^{a+b c+b d x}}{b d \log (F)}+\frac{2 e f x^4 F^{a+b c+b d x}}{b d \log (F)}+\frac{f^2 x^5 F^{a+b c+b d x}}{b d \log (F)}","-\frac{3 e^2 x^2 F^{a+b c+b d x}}{b^2 d^2 \log ^2(F)}+\frac{6 e^2 x F^{a+b c+b d x}}{b^3 d^3 \log ^3(F)}-\frac{6 e^2 F^{a+b c+b d x}}{b^4 d^4 \log ^4(F)}-\frac{8 e f x^3 F^{a+b c+b d x}}{b^2 d^2 \log ^2(F)}+\frac{24 e f x^2 F^{a+b c+b d x}}{b^3 d^3 \log ^3(F)}-\frac{48 e f x F^{a+b c+b d x}}{b^4 d^4 \log ^4(F)}+\frac{48 e f F^{a+b c+b d x}}{b^5 d^5 \log ^5(F)}-\frac{5 f^2 x^4 F^{a+b c+b d x}}{b^2 d^2 \log ^2(F)}+\frac{20 f^2 x^3 F^{a+b c+b d x}}{b^3 d^3 \log ^3(F)}-\frac{60 f^2 x^2 F^{a+b c+b d x}}{b^4 d^4 \log ^4(F)}+\frac{120 f^2 x F^{a+b c+b d x}}{b^5 d^5 \log ^5(F)}-\frac{120 f^2 F^{a+b c+b d x}}{b^6 d^6 \log ^6(F)}+\frac{e^2 x^3 F^{a+b c+b d x}}{b d \log (F)}+\frac{2 e f x^4 F^{a+b c+b d x}}{b d \log (F)}+\frac{f^2 x^5 F^{a+b c+b d x}}{b d \log (F)}",1,"(-120*f^2*F^(a + b*c + b*d*x))/(b^6*d^6*Log[F]^6) + (48*e*f*F^(a + b*c + b*d*x))/(b^5*d^5*Log[F]^5) + (120*f^2*F^(a + b*c + b*d*x)*x)/(b^5*d^5*Log[F]^5) - (6*e^2*F^(a + b*c + b*d*x))/(b^4*d^4*Log[F]^4) - (48*e*f*F^(a + b*c + b*d*x)*x)/(b^4*d^4*Log[F]^4) - (60*f^2*F^(a + b*c + b*d*x)*x^2)/(b^4*d^4*Log[F]^4) + (6*e^2*F^(a + b*c + b*d*x)*x)/(b^3*d^3*Log[F]^3) + (24*e*f*F^(a + b*c + b*d*x)*x^2)/(b^3*d^3*Log[F]^3) + (20*f^2*F^(a + b*c + b*d*x)*x^3)/(b^3*d^3*Log[F]^3) - (3*e^2*F^(a + b*c + b*d*x)*x^2)/(b^2*d^2*Log[F]^2) - (8*e*f*F^(a + b*c + b*d*x)*x^3)/(b^2*d^2*Log[F]^2) - (5*f^2*F^(a + b*c + b*d*x)*x^4)/(b^2*d^2*Log[F]^2) + (e^2*F^(a + b*c + b*d*x)*x^3)/(b*d*Log[F]) + (2*e*f*F^(a + b*c + b*d*x)*x^4)/(b*d*Log[F]) + (f^2*F^(a + b*c + b*d*x)*x^5)/(b*d*Log[F])","A",17,3,22,0.1364,1,"{2196, 2176, 2194}"
66,1,328,0,0.5324496,"\int F^{a+b (c+d x)} x^2 (e+f x)^2 \, dx","Int[F^(a + b*(c + d*x))*x^2*(e + f*x)^2,x]","-\frac{2 e^2 x F^{a+b c+b d x}}{b^2 d^2 \log ^2(F)}+\frac{2 e^2 F^{a+b c+b d x}}{b^3 d^3 \log ^3(F)}-\frac{6 e f x^2 F^{a+b c+b d x}}{b^2 d^2 \log ^2(F)}+\frac{12 e f x F^{a+b c+b d x}}{b^3 d^3 \log ^3(F)}-\frac{12 e f F^{a+b c+b d x}}{b^4 d^4 \log ^4(F)}-\frac{4 f^2 x^3 F^{a+b c+b d x}}{b^2 d^2 \log ^2(F)}+\frac{12 f^2 x^2 F^{a+b c+b d x}}{b^3 d^3 \log ^3(F)}-\frac{24 f^2 x F^{a+b c+b d x}}{b^4 d^4 \log ^4(F)}+\frac{24 f^2 F^{a+b c+b d x}}{b^5 d^5 \log ^5(F)}+\frac{e^2 x^2 F^{a+b c+b d x}}{b d \log (F)}+\frac{2 e f x^3 F^{a+b c+b d x}}{b d \log (F)}+\frac{f^2 x^4 F^{a+b c+b d x}}{b d \log (F)}","-\frac{2 e^2 x F^{a+b c+b d x}}{b^2 d^2 \log ^2(F)}+\frac{2 e^2 F^{a+b c+b d x}}{b^3 d^3 \log ^3(F)}-\frac{6 e f x^2 F^{a+b c+b d x}}{b^2 d^2 \log ^2(F)}+\frac{12 e f x F^{a+b c+b d x}}{b^3 d^3 \log ^3(F)}-\frac{12 e f F^{a+b c+b d x}}{b^4 d^4 \log ^4(F)}-\frac{4 f^2 x^3 F^{a+b c+b d x}}{b^2 d^2 \log ^2(F)}+\frac{12 f^2 x^2 F^{a+b c+b d x}}{b^3 d^3 \log ^3(F)}-\frac{24 f^2 x F^{a+b c+b d x}}{b^4 d^4 \log ^4(F)}+\frac{24 f^2 F^{a+b c+b d x}}{b^5 d^5 \log ^5(F)}+\frac{e^2 x^2 F^{a+b c+b d x}}{b d \log (F)}+\frac{2 e f x^3 F^{a+b c+b d x}}{b d \log (F)}+\frac{f^2 x^4 F^{a+b c+b d x}}{b d \log (F)}",1,"(24*f^2*F^(a + b*c + b*d*x))/(b^5*d^5*Log[F]^5) - (12*e*f*F^(a + b*c + b*d*x))/(b^4*d^4*Log[F]^4) - (24*f^2*F^(a + b*c + b*d*x)*x)/(b^4*d^4*Log[F]^4) + (2*e^2*F^(a + b*c + b*d*x))/(b^3*d^3*Log[F]^3) + (12*e*f*F^(a + b*c + b*d*x)*x)/(b^3*d^3*Log[F]^3) + (12*f^2*F^(a + b*c + b*d*x)*x^2)/(b^3*d^3*Log[F]^3) - (2*e^2*F^(a + b*c + b*d*x)*x)/(b^2*d^2*Log[F]^2) - (6*e*f*F^(a + b*c + b*d*x)*x^2)/(b^2*d^2*Log[F]^2) - (4*f^2*F^(a + b*c + b*d*x)*x^3)/(b^2*d^2*Log[F]^2) + (e^2*F^(a + b*c + b*d*x)*x^2)/(b*d*Log[F]) + (2*e*f*F^(a + b*c + b*d*x)*x^3)/(b*d*Log[F]) + (f^2*F^(a + b*c + b*d*x)*x^4)/(b*d*Log[F])","A",14,3,22,0.1364,1,"{2196, 2176, 2194}"
67,1,242,0,0.3555865,"\int F^{a+b (c+d x)} x (e+f x)^2 \, dx","Int[F^(a + b*(c + d*x))*x*(e + f*x)^2,x]","-\frac{e^2 F^{a+b c+b d x}}{b^2 d^2 \log ^2(F)}-\frac{4 e f x F^{a+b c+b d x}}{b^2 d^2 \log ^2(F)}+\frac{4 e f F^{a+b c+b d x}}{b^3 d^3 \log ^3(F)}-\frac{3 f^2 x^2 F^{a+b c+b d x}}{b^2 d^2 \log ^2(F)}+\frac{6 f^2 x F^{a+b c+b d x}}{b^3 d^3 \log ^3(F)}-\frac{6 f^2 F^{a+b c+b d x}}{b^4 d^4 \log ^4(F)}+\frac{e^2 x F^{a+b c+b d x}}{b d \log (F)}+\frac{2 e f x^2 F^{a+b c+b d x}}{b d \log (F)}+\frac{f^2 x^3 F^{a+b c+b d x}}{b d \log (F)}","-\frac{e^2 F^{a+b c+b d x}}{b^2 d^2 \log ^2(F)}-\frac{4 e f x F^{a+b c+b d x}}{b^2 d^2 \log ^2(F)}+\frac{4 e f F^{a+b c+b d x}}{b^3 d^3 \log ^3(F)}-\frac{3 f^2 x^2 F^{a+b c+b d x}}{b^2 d^2 \log ^2(F)}+\frac{6 f^2 x F^{a+b c+b d x}}{b^3 d^3 \log ^3(F)}-\frac{6 f^2 F^{a+b c+b d x}}{b^4 d^4 \log ^4(F)}+\frac{e^2 x F^{a+b c+b d x}}{b d \log (F)}+\frac{2 e f x^2 F^{a+b c+b d x}}{b d \log (F)}+\frac{f^2 x^3 F^{a+b c+b d x}}{b d \log (F)}",1,"(-6*f^2*F^(a + b*c + b*d*x))/(b^4*d^4*Log[F]^4) + (4*e*f*F^(a + b*c + b*d*x))/(b^3*d^3*Log[F]^3) + (6*f^2*F^(a + b*c + b*d*x)*x)/(b^3*d^3*Log[F]^3) - (e^2*F^(a + b*c + b*d*x))/(b^2*d^2*Log[F]^2) - (4*e*f*F^(a + b*c + b*d*x)*x)/(b^2*d^2*Log[F]^2) - (3*f^2*F^(a + b*c + b*d*x)*x^2)/(b^2*d^2*Log[F]^2) + (e^2*F^(a + b*c + b*d*x)*x)/(b*d*Log[F]) + (2*e*f*F^(a + b*c + b*d*x)*x^2)/(b*d*Log[F]) + (f^2*F^(a + b*c + b*d*x)*x^3)/(b*d*Log[F])","A",11,3,20,0.1500,1,"{2196, 2176, 2194}"
68,1,85,0,0.1203637,"\int F^{a+b (c+d x)} (e+f x)^2 \, dx","Int[F^(a + b*(c + d*x))*(e + f*x)^2,x]","-\frac{2 f (e+f x) F^{a+b c+b d x}}{b^2 d^2 \log ^2(F)}+\frac{2 f^2 F^{a+b c+b d x}}{b^3 d^3 \log ^3(F)}+\frac{(e+f x)^2 F^{a+b c+b d x}}{b d \log (F)}","-\frac{2 f (e+f x) F^{a+b c+b d x}}{b^2 d^2 \log ^2(F)}+\frac{2 f^2 F^{a+b c+b d x}}{b^3 d^3 \log ^3(F)}+\frac{(e+f x)^2 F^{a+b c+b d x}}{b d \log (F)}",1,"(2*f^2*F^(a + b*c + b*d*x))/(b^3*d^3*Log[F]^3) - (2*f*F^(a + b*c + b*d*x)*(e + f*x))/(b^2*d^2*Log[F]^2) + (F^(a + b*c + b*d*x)*(e + f*x)^2)/(b*d*Log[F])","A",4,3,19,0.1579,1,"{2187, 2176, 2194}"
69,1,96,0,0.2577493,"\int \frac{F^{a+b (c+d x)} (e+f x)^2}{x} \, dx","Int[(F^(a + b*(c + d*x))*(e + f*x)^2)/x,x]","-\frac{f^2 F^{a+b c+b d x}}{b^2 d^2 \log ^2(F)}+e^2 F^{a+b c} \text{Ei}(b d x \log (F))+\frac{2 e f F^{a+b c+b d x}}{b d \log (F)}+\frac{f^2 x F^{a+b c+b d x}}{b d \log (F)}","-\frac{f^2 F^{a+b c+b d x}}{b^2 d^2 \log ^2(F)}+e^2 F^{a+b c} \text{Ei}(b d x \log (F))+\frac{2 e f F^{a+b c+b d x}}{b d \log (F)}+\frac{f^2 x F^{a+b c+b d x}}{b d \log (F)}",1,"e^2*F^(a + b*c)*ExpIntegralEi[b*d*x*Log[F]] - (f^2*F^(a + b*c + b*d*x))/(b^2*d^2*Log[F]^2) + (2*e*f*F^(a + b*c + b*d*x))/(b*d*Log[F]) + (f^2*F^(a + b*c + b*d*x)*x)/(b*d*Log[F])","A",6,4,22,0.1818,1,"{2199, 2194, 2178, 2176}"
70,1,85,0,0.2766189,"\int \frac{F^{a+b (c+d x)} (e+f x)^2}{x^2} \, dx","Int[(F^(a + b*(c + d*x))*(e + f*x)^2)/x^2,x]","b d e^2 \log (F) F^{a+b c} \text{Ei}(b d x \log (F))-\frac{e^2 F^{a+b c+b d x}}{x}+2 e f F^{a+b c} \text{Ei}(b d x \log (F))+\frac{f^2 F^{a+b c+b d x}}{b d \log (F)}","b d e^2 \log (F) F^{a+b c} \text{Ei}(b d x \log (F))-\frac{e^2 F^{a+b c+b d x}}{x}+2 e f F^{a+b c} \text{Ei}(b d x \log (F))+\frac{f^2 F^{a+b c+b d x}}{b d \log (F)}",1,"-((e^2*F^(a + b*c + b*d*x))/x) + 2*e*f*F^(a + b*c)*ExpIntegralEi[b*d*x*Log[F]] + (f^2*F^(a + b*c + b*d*x))/(b*d*Log[F]) + b*d*e^2*F^(a + b*c)*ExpIntegralEi[b*d*x*Log[F]]*Log[F]","A",6,4,22,0.1818,1,"{2199, 2194, 2177, 2178}"
71,1,136,0,0.3629787,"\int \frac{F^{a+b (c+d x)} (e+f x)^2}{x^3} \, dx","Int[(F^(a + b*(c + d*x))*(e + f*x)^2)/x^3,x]","\frac{1}{2} b^2 d^2 e^2 \log ^2(F) F^{a+b c} \text{Ei}(b d x \log (F))-\frac{e^2 F^{a+b c+b d x}}{2 x^2}-\frac{b d e^2 \log (F) F^{a+b c+b d x}}{2 x}+2 b d e f \log (F) F^{a+b c} \text{Ei}(b d x \log (F))-\frac{2 e f F^{a+b c+b d x}}{x}+f^2 F^{a+b c} \text{Ei}(b d x \log (F))","\frac{1}{2} b^2 d^2 e^2 \log ^2(F) F^{a+b c} \text{Ei}(b d x \log (F))-\frac{e^2 F^{a+b c+b d x}}{2 x^2}-\frac{b d e^2 \log (F) F^{a+b c+b d x}}{2 x}+2 b d e f \log (F) F^{a+b c} \text{Ei}(b d x \log (F))-\frac{2 e f F^{a+b c+b d x}}{x}+f^2 F^{a+b c} \text{Ei}(b d x \log (F))",1,"-(e^2*F^(a + b*c + b*d*x))/(2*x^2) - (2*e*f*F^(a + b*c + b*d*x))/x + f^2*F^(a + b*c)*ExpIntegralEi[b*d*x*Log[F]] - (b*d*e^2*F^(a + b*c + b*d*x)*Log[F])/(2*x) + 2*b*d*e*f*F^(a + b*c)*ExpIntegralEi[b*d*x*Log[F]]*Log[F] + (b^2*d^2*e^2*F^(a + b*c)*ExpIntegralEi[b*d*x*Log[F]]*Log[F]^2)/2","A",8,3,22,0.1364,1,"{2199, 2177, 2178}"
72,1,217,0,0.4589878,"\int \frac{F^{a+b (c+d x)} (e+f x)^2}{x^4} \, dx","Int[(F^(a + b*(c + d*x))*(e + f*x)^2)/x^4,x]","\frac{1}{6} b^3 d^3 e^2 \log ^3(F) F^{a+b c} \text{Ei}(b d x \log (F))-\frac{b^2 d^2 e^2 \log ^2(F) F^{a+b c+b d x}}{6 x}+b^2 d^2 e f \log ^2(F) F^{a+b c} \text{Ei}(b d x \log (F))-\frac{e^2 F^{a+b c+b d x}}{3 x^3}-\frac{b d e^2 \log (F) F^{a+b c+b d x}}{6 x^2}-\frac{e f F^{a+b c+b d x}}{x^2}-\frac{b d e f \log (F) F^{a+b c+b d x}}{x}+b d f^2 \log (F) F^{a+b c} \text{Ei}(b d x \log (F))-\frac{f^2 F^{a+b c+b d x}}{x}","\frac{1}{6} b^3 d^3 e^2 \log ^3(F) F^{a+b c} \text{Ei}(b d x \log (F))-\frac{b^2 d^2 e^2 \log ^2(F) F^{a+b c+b d x}}{6 x}+b^2 d^2 e f \log ^2(F) F^{a+b c} \text{Ei}(b d x \log (F))-\frac{e^2 F^{a+b c+b d x}}{3 x^3}-\frac{b d e^2 \log (F) F^{a+b c+b d x}}{6 x^2}-\frac{e f F^{a+b c+b d x}}{x^2}-\frac{b d e f \log (F) F^{a+b c+b d x}}{x}+b d f^2 \log (F) F^{a+b c} \text{Ei}(b d x \log (F))-\frac{f^2 F^{a+b c+b d x}}{x}",1,"-(e^2*F^(a + b*c + b*d*x))/(3*x^3) - (e*f*F^(a + b*c + b*d*x))/x^2 - (f^2*F^(a + b*c + b*d*x))/x - (b*d*e^2*F^(a + b*c + b*d*x)*Log[F])/(6*x^2) - (b*d*e*f*F^(a + b*c + b*d*x)*Log[F])/x + b*d*f^2*F^(a + b*c)*ExpIntegralEi[b*d*x*Log[F]]*Log[F] - (b^2*d^2*e^2*F^(a + b*c + b*d*x)*Log[F]^2)/(6*x) + b^2*d^2*e*f*F^(a + b*c)*ExpIntegralEi[b*d*x*Log[F]]*Log[F]^2 + (b^3*d^3*e^2*F^(a + b*c)*ExpIntegralEi[b*d*x*Log[F]]*Log[F]^3)/6","A",11,3,22,0.1364,1,"{2199, 2177, 2178}"
73,1,321,0,0.5778451,"\int \frac{F^{a+b (c+d x)} (e+f x)^2}{x^5} \, dx","Int[(F^(a + b*(c + d*x))*(e + f*x)^2)/x^5,x]","\frac{1}{24} b^4 d^4 e^2 \log ^4(F) F^{a+b c} \text{Ei}(b d x \log (F))-\frac{b^2 d^2 e^2 \log ^2(F) F^{a+b c+b d x}}{24 x^2}-\frac{b^3 d^3 e^2 \log ^3(F) F^{a+b c+b d x}}{24 x}+\frac{1}{3} b^3 d^3 e f \log ^3(F) F^{a+b c} \text{Ei}(b d x \log (F))-\frac{b^2 d^2 e f \log ^2(F) F^{a+b c+b d x}}{3 x}+\frac{1}{2} b^2 d^2 f^2 \log ^2(F) F^{a+b c} \text{Ei}(b d x \log (F))-\frac{e^2 F^{a+b c+b d x}}{4 x^4}-\frac{b d e^2 \log (F) F^{a+b c+b d x}}{12 x^3}-\frac{2 e f F^{a+b c+b d x}}{3 x^3}-\frac{b d e f \log (F) F^{a+b c+b d x}}{3 x^2}-\frac{f^2 F^{a+b c+b d x}}{2 x^2}-\frac{b d f^2 \log (F) F^{a+b c+b d x}}{2 x}","\frac{1}{24} b^4 d^4 e^2 \log ^4(F) F^{a+b c} \text{Ei}(b d x \log (F))-\frac{b^2 d^2 e^2 \log ^2(F) F^{a+b c+b d x}}{24 x^2}-\frac{b^3 d^3 e^2 \log ^3(F) F^{a+b c+b d x}}{24 x}+\frac{1}{3} b^3 d^3 e f \log ^3(F) F^{a+b c} \text{Ei}(b d x \log (F))-\frac{b^2 d^2 e f \log ^2(F) F^{a+b c+b d x}}{3 x}+\frac{1}{2} b^2 d^2 f^2 \log ^2(F) F^{a+b c} \text{Ei}(b d x \log (F))-\frac{e^2 F^{a+b c+b d x}}{4 x^4}-\frac{b d e^2 \log (F) F^{a+b c+b d x}}{12 x^3}-\frac{2 e f F^{a+b c+b d x}}{3 x^3}-\frac{b d e f \log (F) F^{a+b c+b d x}}{3 x^2}-\frac{f^2 F^{a+b c+b d x}}{2 x^2}-\frac{b d f^2 \log (F) F^{a+b c+b d x}}{2 x}",1,"-(e^2*F^(a + b*c + b*d*x))/(4*x^4) - (2*e*f*F^(a + b*c + b*d*x))/(3*x^3) - (f^2*F^(a + b*c + b*d*x))/(2*x^2) - (b*d*e^2*F^(a + b*c + b*d*x)*Log[F])/(12*x^3) - (b*d*e*f*F^(a + b*c + b*d*x)*Log[F])/(3*x^2) - (b*d*f^2*F^(a + b*c + b*d*x)*Log[F])/(2*x) - (b^2*d^2*e^2*F^(a + b*c + b*d*x)*Log[F]^2)/(24*x^2) - (b^2*d^2*e*f*F^(a + b*c + b*d*x)*Log[F]^2)/(3*x) + (b^2*d^2*f^2*F^(a + b*c)*ExpIntegralEi[b*d*x*Log[F]]*Log[F]^2)/2 - (b^3*d^3*e^2*F^(a + b*c + b*d*x)*Log[F]^3)/(24*x) + (b^3*d^3*e*f*F^(a + b*c)*ExpIntegralEi[b*d*x*Log[F]]*Log[F]^3)/3 + (b^4*d^4*e^2*F^(a + b*c)*ExpIntegralEi[b*d*x*Log[F]]*Log[F]^4)/24","A",14,3,22,0.1364,1,"{2199, 2177, 2178}"
74,1,754,0,0.9158639,"\int e^{-a-b x} (a+b x)^4 (c+d x)^3 \, dx","Int[E^(-a - b*x)*(a + b*x)^4*(c + d*x)^3,x]","-\frac{3 d^2 e^{-a-b x} (a+b x)^6 (b c-a d)}{b^4}-\frac{18 d^2 e^{-a-b x} (a+b x)^5 (b c-a d)}{b^4}-\frac{90 d^2 e^{-a-b x} (a+b x)^4 (b c-a d)}{b^4}-\frac{360 d^2 e^{-a-b x} (a+b x)^3 (b c-a d)}{b^4}-\frac{1080 d^2 e^{-a-b x} (a+b x)^2 (b c-a d)}{b^4}-\frac{2160 d^2 e^{-a-b x} (a+b x) (b c-a d)}{b^4}-\frac{2160 d^2 e^{-a-b x} (b c-a d)}{b^4}-\frac{3 d e^{-a-b x} (a+b x)^5 (b c-a d)^2}{b^4}-\frac{e^{-a-b x} (a+b x)^4 (b c-a d)^3}{b^4}-\frac{15 d e^{-a-b x} (a+b x)^4 (b c-a d)^2}{b^4}-\frac{4 e^{-a-b x} (a+b x)^3 (b c-a d)^3}{b^4}-\frac{60 d e^{-a-b x} (a+b x)^3 (b c-a d)^2}{b^4}-\frac{12 e^{-a-b x} (a+b x)^2 (b c-a d)^3}{b^4}-\frac{180 d e^{-a-b x} (a+b x)^2 (b c-a d)^2}{b^4}-\frac{24 e^{-a-b x} (a+b x) (b c-a d)^3}{b^4}-\frac{360 d e^{-a-b x} (a+b x) (b c-a d)^2}{b^4}-\frac{24 e^{-a-b x} (b c-a d)^3}{b^4}-\frac{360 d e^{-a-b x} (b c-a d)^2}{b^4}-\frac{d^3 e^{-a-b x} (a+b x)^7}{b^4}-\frac{7 d^3 e^{-a-b x} (a+b x)^6}{b^4}-\frac{42 d^3 e^{-a-b x} (a+b x)^5}{b^4}-\frac{210 d^3 e^{-a-b x} (a+b x)^4}{b^4}-\frac{840 d^3 e^{-a-b x} (a+b x)^3}{b^4}-\frac{2520 d^3 e^{-a-b x} (a+b x)^2}{b^4}-\frac{5040 d^3 e^{-a-b x} (a+b x)}{b^4}-\frac{5040 d^3 e^{-a-b x}}{b^4}","-\frac{3 d^2 e^{-a-b x} (a+b x)^6 (b c-a d)}{b^4}-\frac{18 d^2 e^{-a-b x} (a+b x)^5 (b c-a d)}{b^4}-\frac{90 d^2 e^{-a-b x} (a+b x)^4 (b c-a d)}{b^4}-\frac{360 d^2 e^{-a-b x} (a+b x)^3 (b c-a d)}{b^4}-\frac{1080 d^2 e^{-a-b x} (a+b x)^2 (b c-a d)}{b^4}-\frac{2160 d^2 e^{-a-b x} (a+b x) (b c-a d)}{b^4}-\frac{2160 d^2 e^{-a-b x} (b c-a d)}{b^4}-\frac{3 d e^{-a-b x} (a+b x)^5 (b c-a d)^2}{b^4}-\frac{e^{-a-b x} (a+b x)^4 (b c-a d)^3}{b^4}-\frac{15 d e^{-a-b x} (a+b x)^4 (b c-a d)^2}{b^4}-\frac{4 e^{-a-b x} (a+b x)^3 (b c-a d)^3}{b^4}-\frac{60 d e^{-a-b x} (a+b x)^3 (b c-a d)^2}{b^4}-\frac{12 e^{-a-b x} (a+b x)^2 (b c-a d)^3}{b^4}-\frac{180 d e^{-a-b x} (a+b x)^2 (b c-a d)^2}{b^4}-\frac{24 e^{-a-b x} (a+b x) (b c-a d)^3}{b^4}-\frac{360 d e^{-a-b x} (a+b x) (b c-a d)^2}{b^4}-\frac{24 e^{-a-b x} (b c-a d)^3}{b^4}-\frac{360 d e^{-a-b x} (b c-a d)^2}{b^4}-\frac{d^3 e^{-a-b x} (a+b x)^7}{b^4}-\frac{7 d^3 e^{-a-b x} (a+b x)^6}{b^4}-\frac{42 d^3 e^{-a-b x} (a+b x)^5}{b^4}-\frac{210 d^3 e^{-a-b x} (a+b x)^4}{b^4}-\frac{840 d^3 e^{-a-b x} (a+b x)^3}{b^4}-\frac{2520 d^3 e^{-a-b x} (a+b x)^2}{b^4}-\frac{5040 d^3 e^{-a-b x} (a+b x)}{b^4}-\frac{5040 d^3 e^{-a-b x}}{b^4}",1,"(-5040*d^3*E^(-a - b*x))/b^4 - (2160*d^2*(b*c - a*d)*E^(-a - b*x))/b^4 - (360*d*(b*c - a*d)^2*E^(-a - b*x))/b^4 - (24*(b*c - a*d)^3*E^(-a - b*x))/b^4 - (5040*d^3*E^(-a - b*x)*(a + b*x))/b^4 - (2160*d^2*(b*c - a*d)*E^(-a - b*x)*(a + b*x))/b^4 - (360*d*(b*c - a*d)^2*E^(-a - b*x)*(a + b*x))/b^4 - (24*(b*c - a*d)^3*E^(-a - b*x)*(a + b*x))/b^4 - (2520*d^3*E^(-a - b*x)*(a + b*x)^2)/b^4 - (1080*d^2*(b*c - a*d)*E^(-a - b*x)*(a + b*x)^2)/b^4 - (180*d*(b*c - a*d)^2*E^(-a - b*x)*(a + b*x)^2)/b^4 - (12*(b*c - a*d)^3*E^(-a - b*x)*(a + b*x)^2)/b^4 - (840*d^3*E^(-a - b*x)*(a + b*x)^3)/b^4 - (360*d^2*(b*c - a*d)*E^(-a - b*x)*(a + b*x)^3)/b^4 - (60*d*(b*c - a*d)^2*E^(-a - b*x)*(a + b*x)^3)/b^4 - (4*(b*c - a*d)^3*E^(-a - b*x)*(a + b*x)^3)/b^4 - (210*d^3*E^(-a - b*x)*(a + b*x)^4)/b^4 - (90*d^2*(b*c - a*d)*E^(-a - b*x)*(a + b*x)^4)/b^4 - (15*d*(b*c - a*d)^2*E^(-a - b*x)*(a + b*x)^4)/b^4 - ((b*c - a*d)^3*E^(-a - b*x)*(a + b*x)^4)/b^4 - (42*d^3*E^(-a - b*x)*(a + b*x)^5)/b^4 - (18*d^2*(b*c - a*d)*E^(-a - b*x)*(a + b*x)^5)/b^4 - (3*d*(b*c - a*d)^2*E^(-a - b*x)*(a + b*x)^5)/b^4 - (7*d^3*E^(-a - b*x)*(a + b*x)^6)/b^4 - (3*d^2*(b*c - a*d)*E^(-a - b*x)*(a + b*x)^6)/b^4 - (d^3*E^(-a - b*x)*(a + b*x)^7)/b^4","A",28,3,25,0.1200,1,"{2196, 2176, 2194}"
75,1,495,0,0.6363405,"\int e^{-a-b x} (a+b x)^4 (c+d x)^2 \, dx","Int[E^(-a - b*x)*(a + b*x)^4*(c + d*x)^2,x]","-\frac{2 d e^{-a-b x} (a+b x)^5 (b c-a d)}{b^3}-\frac{e^{-a-b x} (a+b x)^4 (b c-a d)^2}{b^3}-\frac{10 d e^{-a-b x} (a+b x)^4 (b c-a d)}{b^3}-\frac{4 e^{-a-b x} (a+b x)^3 (b c-a d)^2}{b^3}-\frac{40 d e^{-a-b x} (a+b x)^3 (b c-a d)}{b^3}-\frac{12 e^{-a-b x} (a+b x)^2 (b c-a d)^2}{b^3}-\frac{120 d e^{-a-b x} (a+b x)^2 (b c-a d)}{b^3}-\frac{24 e^{-a-b x} (a+b x) (b c-a d)^2}{b^3}-\frac{240 d e^{-a-b x} (a+b x) (b c-a d)}{b^3}-\frac{24 e^{-a-b x} (b c-a d)^2}{b^3}-\frac{240 d e^{-a-b x} (b c-a d)}{b^3}-\frac{d^2 e^{-a-b x} (a+b x)^6}{b^3}-\frac{6 d^2 e^{-a-b x} (a+b x)^5}{b^3}-\frac{30 d^2 e^{-a-b x} (a+b x)^4}{b^3}-\frac{120 d^2 e^{-a-b x} (a+b x)^3}{b^3}-\frac{360 d^2 e^{-a-b x} (a+b x)^2}{b^3}-\frac{720 d^2 e^{-a-b x} (a+b x)}{b^3}-\frac{720 d^2 e^{-a-b x}}{b^3}","-\frac{2 d e^{-a-b x} (a+b x)^5 (b c-a d)}{b^3}-\frac{e^{-a-b x} (a+b x)^4 (b c-a d)^2}{b^3}-\frac{10 d e^{-a-b x} (a+b x)^4 (b c-a d)}{b^3}-\frac{4 e^{-a-b x} (a+b x)^3 (b c-a d)^2}{b^3}-\frac{40 d e^{-a-b x} (a+b x)^3 (b c-a d)}{b^3}-\frac{12 e^{-a-b x} (a+b x)^2 (b c-a d)^2}{b^3}-\frac{120 d e^{-a-b x} (a+b x)^2 (b c-a d)}{b^3}-\frac{24 e^{-a-b x} (a+b x) (b c-a d)^2}{b^3}-\frac{240 d e^{-a-b x} (a+b x) (b c-a d)}{b^3}-\frac{24 e^{-a-b x} (b c-a d)^2}{b^3}-\frac{240 d e^{-a-b x} (b c-a d)}{b^3}-\frac{d^2 e^{-a-b x} (a+b x)^6}{b^3}-\frac{6 d^2 e^{-a-b x} (a+b x)^5}{b^3}-\frac{30 d^2 e^{-a-b x} (a+b x)^4}{b^3}-\frac{120 d^2 e^{-a-b x} (a+b x)^3}{b^3}-\frac{360 d^2 e^{-a-b x} (a+b x)^2}{b^3}-\frac{720 d^2 e^{-a-b x} (a+b x)}{b^3}-\frac{720 d^2 e^{-a-b x}}{b^3}",1,"(-720*d^2*E^(-a - b*x))/b^3 - (240*d*(b*c - a*d)*E^(-a - b*x))/b^3 - (24*(b*c - a*d)^2*E^(-a - b*x))/b^3 - (720*d^2*E^(-a - b*x)*(a + b*x))/b^3 - (240*d*(b*c - a*d)*E^(-a - b*x)*(a + b*x))/b^3 - (24*(b*c - a*d)^2*E^(-a - b*x)*(a + b*x))/b^3 - (360*d^2*E^(-a - b*x)*(a + b*x)^2)/b^3 - (120*d*(b*c - a*d)*E^(-a - b*x)*(a + b*x)^2)/b^3 - (12*(b*c - a*d)^2*E^(-a - b*x)*(a + b*x)^2)/b^3 - (120*d^2*E^(-a - b*x)*(a + b*x)^3)/b^3 - (40*d*(b*c - a*d)*E^(-a - b*x)*(a + b*x)^3)/b^3 - (4*(b*c - a*d)^2*E^(-a - b*x)*(a + b*x)^3)/b^3 - (30*d^2*E^(-a - b*x)*(a + b*x)^4)/b^3 - (10*d*(b*c - a*d)*E^(-a - b*x)*(a + b*x)^4)/b^3 - ((b*c - a*d)^2*E^(-a - b*x)*(a + b*x)^4)/b^3 - (6*d^2*E^(-a - b*x)*(a + b*x)^5)/b^3 - (2*d*(b*c - a*d)*E^(-a - b*x)*(a + b*x)^5)/b^3 - (d^2*E^(-a - b*x)*(a + b*x)^6)/b^3","A",20,3,25,0.1200,1,"{2196, 2176, 2194}"
76,1,271,0,0.3386385,"\int e^{-a-b x} (a+b x)^4 (c+d x) \, dx","Int[E^(-a - b*x)*(a + b*x)^4*(c + d*x),x]","-\frac{e^{-a-b x} (a+b x)^4 (b c-a d)}{b^2}-\frac{4 e^{-a-b x} (a+b x)^3 (b c-a d)}{b^2}-\frac{12 e^{-a-b x} (a+b x)^2 (b c-a d)}{b^2}-\frac{24 e^{-a-b x} (a+b x) (b c-a d)}{b^2}-\frac{24 e^{-a-b x} (b c-a d)}{b^2}-\frac{d e^{-a-b x} (a+b x)^5}{b^2}-\frac{5 d e^{-a-b x} (a+b x)^4}{b^2}-\frac{20 d e^{-a-b x} (a+b x)^3}{b^2}-\frac{60 d e^{-a-b x} (a+b x)^2}{b^2}-\frac{120 d e^{-a-b x} (a+b x)}{b^2}-\frac{120 d e^{-a-b x}}{b^2}","-\frac{e^{-a-b x} (a+b x)^4 (b c-a d)}{b^2}-\frac{4 e^{-a-b x} (a+b x)^3 (b c-a d)}{b^2}-\frac{12 e^{-a-b x} (a+b x)^2 (b c-a d)}{b^2}-\frac{24 e^{-a-b x} (a+b x) (b c-a d)}{b^2}-\frac{24 e^{-a-b x} (b c-a d)}{b^2}-\frac{d e^{-a-b x} (a+b x)^5}{b^2}-\frac{5 d e^{-a-b x} (a+b x)^4}{b^2}-\frac{20 d e^{-a-b x} (a+b x)^3}{b^2}-\frac{60 d e^{-a-b x} (a+b x)^2}{b^2}-\frac{120 d e^{-a-b x} (a+b x)}{b^2}-\frac{120 d e^{-a-b x}}{b^2}",1,"(-120*d*E^(-a - b*x))/b^2 - (24*(b*c - a*d)*E^(-a - b*x))/b^2 - (120*d*E^(-a - b*x)*(a + b*x))/b^2 - (24*(b*c - a*d)*E^(-a - b*x)*(a + b*x))/b^2 - (60*d*E^(-a - b*x)*(a + b*x)^2)/b^2 - (12*(b*c - a*d)*E^(-a - b*x)*(a + b*x)^2)/b^2 - (20*d*E^(-a - b*x)*(a + b*x)^3)/b^2 - (4*(b*c - a*d)*E^(-a - b*x)*(a + b*x)^3)/b^2 - (5*d*E^(-a - b*x)*(a + b*x)^4)/b^2 - ((b*c - a*d)*E^(-a - b*x)*(a + b*x)^4)/b^2 - (d*E^(-a - b*x)*(a + b*x)^5)/b^2","A",13,3,23,0.1304,1,"{2196, 2176, 2194}"
77,1,102,0,0.0964918,"\int e^{-a-b x} (a+b x)^4 \, dx","Int[E^(-a - b*x)*(a + b*x)^4,x]","-\frac{e^{-a-b x} (a+b x)^4}{b}-\frac{4 e^{-a-b x} (a+b x)^3}{b}-\frac{12 e^{-a-b x} (a+b x)^2}{b}-\frac{24 e^{-a-b x} (a+b x)}{b}-\frac{24 e^{-a-b x}}{b}","-\frac{e^{-a-b x} (a+b x)^4}{b}-\frac{4 e^{-a-b x} (a+b x)^3}{b}-\frac{12 e^{-a-b x} (a+b x)^2}{b}-\frac{24 e^{-a-b x} (a+b x)}{b}-\frac{24 e^{-a-b x}}{b}",1,"(-24*E^(-a - b*x))/b - (24*E^(-a - b*x)*(a + b*x))/b - (12*E^(-a - b*x)*(a + b*x)^2)/b - (4*E^(-a - b*x)*(a + b*x)^3)/b - (E^(-a - b*x)*(a + b*x)^4)/b","A",5,2,18,0.1111,1,"{2176, 2194}"
78,1,277,0,0.3383641,"\int \frac{e^{-a-b x} (a+b x)^4}{c+d x} \, dx","Int[(E^(-a - b*x)*(a + b*x)^4)/(c + d*x),x]","\frac{e^{\frac{b c}{d}-a} (b c-a d)^4 \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^5}+\frac{e^{-a-b x} (b c-a d)^3}{d^4}-\frac{e^{-a-b x} (b c-a d)^2}{d^3}-\frac{e^{-a-b x} (a+b x) (b c-a d)^2}{d^3}+\frac{2 e^{-a-b x} (b c-a d)}{d^2}+\frac{e^{-a-b x} (a+b x)^2 (b c-a d)}{d^2}+\frac{2 e^{-a-b x} (a+b x) (b c-a d)}{d^2}-\frac{6 e^{-a-b x}}{d}-\frac{e^{-a-b x} (a+b x)^3}{d}-\frac{3 e^{-a-b x} (a+b x)^2}{d}-\frac{6 e^{-a-b x} (a+b x)}{d}","\frac{e^{\frac{b c}{d}-a} (b c-a d)^4 \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^5}+\frac{e^{-a-b x} (b c-a d)^3}{d^4}-\frac{e^{-a-b x} (b c-a d)^2}{d^3}-\frac{e^{-a-b x} (a+b x) (b c-a d)^2}{d^3}+\frac{2 e^{-a-b x} (b c-a d)}{d^2}+\frac{e^{-a-b x} (a+b x)^2 (b c-a d)}{d^2}+\frac{2 e^{-a-b x} (a+b x) (b c-a d)}{d^2}-\frac{6 e^{-a-b x}}{d}-\frac{e^{-a-b x} (a+b x)^3}{d}-\frac{3 e^{-a-b x} (a+b x)^2}{d}-\frac{6 e^{-a-b x} (a+b x)}{d}",1,"(-6*E^(-a - b*x))/d + (2*(b*c - a*d)*E^(-a - b*x))/d^2 - ((b*c - a*d)^2*E^(-a - b*x))/d^3 + ((b*c - a*d)^3*E^(-a - b*x))/d^4 - (6*E^(-a - b*x)*(a + b*x))/d + (2*(b*c - a*d)*E^(-a - b*x)*(a + b*x))/d^2 - ((b*c - a*d)^2*E^(-a - b*x)*(a + b*x))/d^3 - (3*E^(-a - b*x)*(a + b*x)^2)/d + ((b*c - a*d)*E^(-a - b*x)*(a + b*x)^2)/d^2 - (E^(-a - b*x)*(a + b*x)^3)/d + ((b*c - a*d)^4*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/d^5","A",13,4,25,0.1600,1,"{2199, 2194, 2176, 2178}"
79,1,258,0,0.3788441,"\int \frac{e^{-a-b x} (a+b x)^4}{(c+d x)^2} \, dx","Int[(E^(-a - b*x)*(a + b*x)^4)/(c + d*x)^2,x]","\frac{4 b^2 e^{-a-b x} (c+d x) (b c-a d)}{d^4}-\frac{b^3 e^{-a-b x} (c+d x)^2}{d^4}-\frac{2 b^2 e^{-a-b x} (c+d x)}{d^3}-\frac{b e^{\frac{b c}{d}-a} (b c-a d)^4 \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^6}-\frac{4 b e^{\frac{b c}{d}-a} (b c-a d)^3 \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^5}-\frac{e^{-a-b x} (b c-a d)^4}{d^5 (c+d x)}-\frac{6 b e^{-a-b x} (b c-a d)^2}{d^4}+\frac{4 b e^{-a-b x} (b c-a d)}{d^3}-\frac{2 b e^{-a-b x}}{d^2}","\frac{4 b^2 e^{-a-b x} (c+d x) (b c-a d)}{d^4}-\frac{b^3 e^{-a-b x} (c+d x)^2}{d^4}-\frac{2 b^2 e^{-a-b x} (c+d x)}{d^3}-\frac{b e^{\frac{b c}{d}-a} (b c-a d)^4 \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^6}-\frac{4 b e^{\frac{b c}{d}-a} (b c-a d)^3 \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^5}-\frac{e^{-a-b x} (b c-a d)^4}{d^5 (c+d x)}-\frac{6 b e^{-a-b x} (b c-a d)^2}{d^4}+\frac{4 b e^{-a-b x} (b c-a d)}{d^3}-\frac{2 b e^{-a-b x}}{d^2}",1,"(-2*b*E^(-a - b*x))/d^2 + (4*b*(b*c - a*d)*E^(-a - b*x))/d^3 - (6*b*(b*c - a*d)^2*E^(-a - b*x))/d^4 - ((b*c - a*d)^4*E^(-a - b*x))/(d^5*(c + d*x)) - (2*b^2*E^(-a - b*x)*(c + d*x))/d^3 + (4*b^2*(b*c - a*d)*E^(-a - b*x)*(c + d*x))/d^4 - (b^3*E^(-a - b*x)*(c + d*x)^2)/d^4 - (4*b*(b*c - a*d)^3*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/d^5 - (b*(b*c - a*d)^4*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/d^6","A",11,5,25,0.2000,1,"{2199, 2194, 2177, 2178, 2176}"
80,1,294,0,0.4077768,"\int \frac{e^{-a-b x} (a+b x)^4}{(c+d x)^3} \, dx","Int[(E^(-a - b*x)*(a + b*x)^4)/(c + d*x)^3,x]","\frac{b^2 e^{\frac{b c}{d}-a} (b c-a d)^4 \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{2 d^7}+\frac{4 b^2 e^{\frac{b c}{d}-a} (b c-a d)^3 \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^6}+\frac{6 b^2 e^{\frac{b c}{d}-a} (b c-a d)^2 \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^5}+\frac{b^2 e^{-a-b x} (3 b c-4 a d)}{d^4}-\frac{b^2 e^{-a-b x}}{d^3}-\frac{b^3 x e^{-a-b x}}{d^3}+\frac{b e^{-a-b x} (b c-a d)^4}{2 d^6 (c+d x)}-\frac{e^{-a-b x} (b c-a d)^4}{2 d^5 (c+d x)^2}+\frac{4 b e^{-a-b x} (b c-a d)^3}{d^5 (c+d x)}","\frac{b^2 e^{\frac{b c}{d}-a} (b c-a d)^4 \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{2 d^7}+\frac{4 b^2 e^{\frac{b c}{d}-a} (b c-a d)^3 \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^6}+\frac{6 b^2 e^{\frac{b c}{d}-a} (b c-a d)^2 \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^5}+\frac{b^2 e^{-a-b x} (3 b c-4 a d)}{d^4}-\frac{b^2 e^{-a-b x}}{d^3}-\frac{b^3 x e^{-a-b x}}{d^3}+\frac{b e^{-a-b x} (b c-a d)^4}{2 d^6 (c+d x)}-\frac{e^{-a-b x} (b c-a d)^4}{2 d^5 (c+d x)^2}+\frac{4 b e^{-a-b x} (b c-a d)^3}{d^5 (c+d x)}",1,"-((b^2*E^(-a - b*x))/d^3) + (b^2*(3*b*c - 4*a*d)*E^(-a - b*x))/d^4 - (b^3*E^(-a - b*x)*x)/d^3 - ((b*c - a*d)^4*E^(-a - b*x))/(2*d^5*(c + d*x)^2) + (4*b*(b*c - a*d)^3*E^(-a - b*x))/(d^5*(c + d*x)) + (b*(b*c - a*d)^4*E^(-a - b*x))/(2*d^6*(c + d*x)) + (6*b^2*(b*c - a*d)^2*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/d^5 + (4*b^2*(b*c - a*d)^3*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/d^6 + (b^2*(b*c - a*d)^4*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(2*d^7)","A",11,5,25,0.2000,1,"{2199, 2194, 2176, 2177, 2178}"
81,1,396,0,0.5208584,"\int \frac{e^{-a-b x} (a+b x)^4}{(c+d x)^4} \, dx","Int[(E^(-a - b*x)*(a + b*x)^4)/(c + d*x)^4,x]","-\frac{b^3 e^{\frac{b c}{d}-a} (b c-a d)^4 \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{6 d^8}-\frac{2 b^3 e^{\frac{b c}{d}-a} (b c-a d)^3 \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^7}-\frac{6 b^3 e^{\frac{b c}{d}-a} (b c-a d)^2 \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^6}-\frac{4 b^3 e^{\frac{b c}{d}-a} (b c-a d) \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^5}-\frac{b^2 e^{-a-b x} (b c-a d)^4}{6 d^7 (c+d x)}-\frac{2 b^2 e^{-a-b x} (b c-a d)^3}{d^6 (c+d x)}-\frac{6 b^2 e^{-a-b x} (b c-a d)^2}{d^5 (c+d x)}-\frac{b^3 e^{-a-b x}}{d^4}+\frac{b e^{-a-b x} (b c-a d)^4}{6 d^6 (c+d x)^2}-\frac{e^{-a-b x} (b c-a d)^4}{3 d^5 (c+d x)^3}+\frac{2 b e^{-a-b x} (b c-a d)^3}{d^5 (c+d x)^2}","-\frac{b^3 e^{\frac{b c}{d}-a} (b c-a d)^4 \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{6 d^8}-\frac{2 b^3 e^{\frac{b c}{d}-a} (b c-a d)^3 \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^7}-\frac{6 b^3 e^{\frac{b c}{d}-a} (b c-a d)^2 \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^6}-\frac{4 b^3 e^{\frac{b c}{d}-a} (b c-a d) \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^5}-\frac{b^2 e^{-a-b x} (b c-a d)^4}{6 d^7 (c+d x)}-\frac{2 b^2 e^{-a-b x} (b c-a d)^3}{d^6 (c+d x)}-\frac{6 b^2 e^{-a-b x} (b c-a d)^2}{d^5 (c+d x)}-\frac{b^3 e^{-a-b x}}{d^4}+\frac{b e^{-a-b x} (b c-a d)^4}{6 d^6 (c+d x)^2}-\frac{e^{-a-b x} (b c-a d)^4}{3 d^5 (c+d x)^3}+\frac{2 b e^{-a-b x} (b c-a d)^3}{d^5 (c+d x)^2}",1,"-((b^3*E^(-a - b*x))/d^4) - ((b*c - a*d)^4*E^(-a - b*x))/(3*d^5*(c + d*x)^3) + (2*b*(b*c - a*d)^3*E^(-a - b*x))/(d^5*(c + d*x)^2) + (b*(b*c - a*d)^4*E^(-a - b*x))/(6*d^6*(c + d*x)^2) - (6*b^2*(b*c - a*d)^2*E^(-a - b*x))/(d^5*(c + d*x)) - (2*b^2*(b*c - a*d)^3*E^(-a - b*x))/(d^6*(c + d*x)) - (b^2*(b*c - a*d)^4*E^(-a - b*x))/(6*d^7*(c + d*x)) - (4*b^3*(b*c - a*d)*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/d^5 - (6*b^3*(b*c - a*d)^2*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/d^6 - (2*b^3*(b*c - a*d)^3*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/d^7 - (b^3*(b*c - a*d)^4*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(6*d^8)","A",13,4,25,0.1600,1,"{2199, 2194, 2177, 2178}"
82,1,557,0,0.684236,"\int \frac{e^{-a-b x} (a+b x)^4}{(c+d x)^5} \, dx","Int[(E^(-a - b*x)*(a + b*x)^4)/(c + d*x)^5,x]","\frac{b^4 (b c-a d)^4 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{24 d^9}+\frac{2 b^4 (b c-a d)^3 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{3 d^8}+\frac{3 b^4 (b c-a d)^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^7}+\frac{4 b^4 (b c-a d) e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^6}+\frac{b^4 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^5}+\frac{b^3 e^{-a-b x} (b c-a d)^4}{24 d^8 (c+d x)}+\frac{2 b^3 e^{-a-b x} (b c-a d)^3}{3 d^7 (c+d x)}+\frac{3 b^3 e^{-a-b x} (b c-a d)^2}{d^6 (c+d x)}+\frac{4 b^3 e^{-a-b x} (b c-a d)}{d^5 (c+d x)}-\frac{b^2 e^{-a-b x} (b c-a d)^4}{24 d^7 (c+d x)^2}-\frac{2 b^2 e^{-a-b x} (b c-a d)^3}{3 d^6 (c+d x)^2}-\frac{3 b^2 e^{-a-b x} (b c-a d)^2}{d^5 (c+d x)^2}+\frac{b e^{-a-b x} (b c-a d)^4}{12 d^6 (c+d x)^3}+\frac{4 b e^{-a-b x} (b c-a d)^3}{3 d^5 (c+d x)^3}-\frac{e^{-a-b x} (b c-a d)^4}{4 d^5 (c+d x)^4}","\frac{b^4 (b c-a d)^4 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{24 d^9}+\frac{2 b^4 (b c-a d)^3 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{3 d^8}+\frac{3 b^4 (b c-a d)^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^7}+\frac{4 b^4 (b c-a d) e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^6}+\frac{b^4 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^5}+\frac{b^3 e^{-a-b x} (b c-a d)^4}{24 d^8 (c+d x)}+\frac{2 b^3 e^{-a-b x} (b c-a d)^3}{3 d^7 (c+d x)}+\frac{3 b^3 e^{-a-b x} (b c-a d)^2}{d^6 (c+d x)}+\frac{4 b^3 e^{-a-b x} (b c-a d)}{d^5 (c+d x)}-\frac{b^2 e^{-a-b x} (b c-a d)^4}{24 d^7 (c+d x)^2}-\frac{2 b^2 e^{-a-b x} (b c-a d)^3}{3 d^6 (c+d x)^2}-\frac{3 b^2 e^{-a-b x} (b c-a d)^2}{d^5 (c+d x)^2}+\frac{b e^{-a-b x} (b c-a d)^4}{12 d^6 (c+d x)^3}+\frac{4 b e^{-a-b x} (b c-a d)^3}{3 d^5 (c+d x)^3}-\frac{e^{-a-b x} (b c-a d)^4}{4 d^5 (c+d x)^4}",1,"-((b*c - a*d)^4*E^(-a - b*x))/(4*d^5*(c + d*x)^4) + (4*b*(b*c - a*d)^3*E^(-a - b*x))/(3*d^5*(c + d*x)^3) + (b*(b*c - a*d)^4*E^(-a - b*x))/(12*d^6*(c + d*x)^3) - (3*b^2*(b*c - a*d)^2*E^(-a - b*x))/(d^5*(c + d*x)^2) - (2*b^2*(b*c - a*d)^3*E^(-a - b*x))/(3*d^6*(c + d*x)^2) - (b^2*(b*c - a*d)^4*E^(-a - b*x))/(24*d^7*(c + d*x)^2) + (4*b^3*(b*c - a*d)*E^(-a - b*x))/(d^5*(c + d*x)) + (3*b^3*(b*c - a*d)^2*E^(-a - b*x))/(d^6*(c + d*x)) + (2*b^3*(b*c - a*d)^3*E^(-a - b*x))/(3*d^7*(c + d*x)) + (b^3*(b*c - a*d)^4*E^(-a - b*x))/(24*d^8*(c + d*x)) + (b^4*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/d^5 + (4*b^4*(b*c - a*d)*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/d^6 + (3*b^4*(b*c - a*d)^2*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/d^7 + (2*b^4*(b*c - a*d)^3*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(3*d^8) + (b^4*(b*c - a*d)^4*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(24*d^9)","A",17,3,25,0.1200,1,"{2199, 2177, 2178}"
83,1,24,0,0.1456448,"\int F^{c (a+b x)} x^m \log ^n(d x) (e+e n+e (1+m+b c x \log (F)) \log (d x)) \, dx","Int[F^(c*(a + b*x))*x^m*Log[d*x]^n*(e + e*n + e*(1 + m + b*c*x*Log[F])*Log[d*x]),x]","e x^{m+1} \log ^{n+1}(d x) F^{c (a+b x)}","e x^{m+1} \log ^{n+1}(d x) F^{c (a+b x)}",1,"e*F^(c*(a + b*x))*x^(1 + m)*Log[d*x]^(1 + n)","A",1,1,39,0.02564,1,"{2202}"
84,1,22,0,0.1305438,"\int F^{c (a+b x)} x^2 \log ^n(d x) (e+e n+e (3+b c x \log (F)) \log (d x)) \, dx","Int[F^(c*(a + b*x))*x^2*Log[d*x]^n*(e + e*n + e*(3 + b*c*x*Log[F])*Log[d*x]),x]","e x^3 \log ^{n+1}(d x) F^{c (a+b x)}","e x^3 \log ^{n+1}(d x) F^{c (a+b x)}",1,"e*F^(c*(a + b*x))*x^3*Log[d*x]^(1 + n)","A",1,1,38,0.02632,1,"{2202}"
85,1,22,0,0.0901636,"\int F^{c (a+b x)} x \log ^n(d x) (e+e n+e (2+b c x \log (F)) \log (d x)) \, dx","Int[F^(c*(a + b*x))*x*Log[d*x]^n*(e + e*n + e*(2 + b*c*x*Log[F])*Log[d*x]),x]","e x^2 \log ^{n+1}(d x) F^{c (a+b x)}","e x^2 \log ^{n+1}(d x) F^{c (a+b x)}",1,"e*F^(c*(a + b*x))*x^2*Log[d*x]^(1 + n)","A",1,1,36,0.02778,1,"{2202}"
86,1,20,0,0.0464877,"\int F^{c (a+b x)} \log ^n(d x) (e+e n+e (1+b c x \log (F)) \log (d x)) \, dx","Int[F^(c*(a + b*x))*Log[d*x]^n*(e + e*n + e*(1 + b*c*x*Log[F])*Log[d*x]),x]","e x \log ^{n+1}(d x) F^{c (a+b x)}","e x \log ^{n+1}(d x) F^{c (a+b x)}",1,"e*F^(c*(a + b*x))*x*Log[d*x]^(1 + n)","A",1,1,35,0.02857,1,"{2201}"
87,1,19,0,0.1291569,"\int \frac{F^{c (a+b x)} \log ^n(d x) (e+e n+b c e x \log (F) \log (d x))}{x} \, dx","Int[(F^(c*(a + b*x))*Log[d*x]^n*(e + e*n + b*c*e*x*Log[F]*Log[d*x]))/x,x]","e \log ^{n+1}(d x) F^{c (a+b x)}","e \log ^{n+1}(d x) F^{c (a+b x)}",1,"e*F^(c*(a + b*x))*Log[d*x]^(1 + n)","A",1,1,35,0.02857,1,"{2202}"
88,1,22,0,0.1310726,"\int \frac{F^{c (a+b x)} \log ^n(d x) (e+e n+e (-1+b c x \log (F)) \log (d x))}{x^2} \, dx","Int[(F^(c*(a + b*x))*Log[d*x]^n*(e + e*n + e*(-1 + b*c*x*Log[F])*Log[d*x]))/x^2,x]","\frac{e \log ^{n+1}(d x) F^{c (a+b x)}}{x}","\frac{e \log ^{n+1}(d x) F^{c (a+b x)}}{x}",1,"(e*F^(c*(a + b*x))*Log[d*x]^(1 + n))/x","A",1,1,38,0.02632,1,"{2202}"
89,1,22,0,0.1313676,"\int \frac{F^{c (a+b x)} \log ^n(d x) (e+e n+e (-2+b c x \log (F)) \log (d x))}{x^3} \, dx","Int[(F^(c*(a + b*x))*Log[d*x]^n*(e + e*n + e*(-2 + b*c*x*Log[F])*Log[d*x]))/x^3,x]","\frac{e \log ^{n+1}(d x) F^{c (a+b x)}}{x^2}","\frac{e \log ^{n+1}(d x) F^{c (a+b x)}}{x^2}",1,"(e*F^(c*(a + b*x))*Log[d*x]^(1 + n))/x^2","A",1,1,38,0.02632,1,"{2202}"
90,1,91,0,0.1433928,"\int \sqrt{e^{a+b x}} x^4 \, dx","Int[Sqrt[E^(a + b*x)]*x^4,x]","-\frac{16 x^3 \sqrt{e^{a+b x}}}{b^2}+\frac{96 x^2 \sqrt{e^{a+b x}}}{b^3}-\frac{384 x \sqrt{e^{a+b x}}}{b^4}+\frac{768 \sqrt{e^{a+b x}}}{b^5}+\frac{2 x^4 \sqrt{e^{a+b x}}}{b}","-\frac{16 x^3 \sqrt{e^{a+b x}}}{b^2}+\frac{96 x^2 \sqrt{e^{a+b x}}}{b^3}-\frac{384 x \sqrt{e^{a+b x}}}{b^4}+\frac{768 \sqrt{e^{a+b x}}}{b^5}+\frac{2 x^4 \sqrt{e^{a+b x}}}{b}",1,"(768*Sqrt[E^(a + b*x)])/b^5 - (384*Sqrt[E^(a + b*x)]*x)/b^4 + (96*Sqrt[E^(a + b*x)]*x^2)/b^3 - (16*Sqrt[E^(a + b*x)]*x^3)/b^2 + (2*Sqrt[E^(a + b*x)]*x^4)/b","A",5,2,15,0.1333,1,"{2176, 2194}"
91,1,72,0,0.1013905,"\int \sqrt{e^{a+b x}} x^3 \, dx","Int[Sqrt[E^(a + b*x)]*x^3,x]","-\frac{12 x^2 \sqrt{e^{a+b x}}}{b^2}+\frac{48 x \sqrt{e^{a+b x}}}{b^3}-\frac{96 \sqrt{e^{a+b x}}}{b^4}+\frac{2 x^3 \sqrt{e^{a+b x}}}{b}","-\frac{12 x^2 \sqrt{e^{a+b x}}}{b^2}+\frac{48 x \sqrt{e^{a+b x}}}{b^3}-\frac{96 \sqrt{e^{a+b x}}}{b^4}+\frac{2 x^3 \sqrt{e^{a+b x}}}{b}",1,"(-96*Sqrt[E^(a + b*x)])/b^4 + (48*Sqrt[E^(a + b*x)]*x)/b^3 - (12*Sqrt[E^(a + b*x)]*x^2)/b^2 + (2*Sqrt[E^(a + b*x)]*x^3)/b","A",4,2,15,0.1333,1,"{2176, 2194}"
92,1,53,0,0.0635734,"\int \sqrt{e^{a+b x}} x^2 \, dx","Int[Sqrt[E^(a + b*x)]*x^2,x]","-\frac{8 x \sqrt{e^{a+b x}}}{b^2}+\frac{16 \sqrt{e^{a+b x}}}{b^3}+\frac{2 x^2 \sqrt{e^{a+b x}}}{b}","-\frac{8 x \sqrt{e^{a+b x}}}{b^2}+\frac{16 \sqrt{e^{a+b x}}}{b^3}+\frac{2 x^2 \sqrt{e^{a+b x}}}{b}",1,"(16*Sqrt[E^(a + b*x)])/b^3 - (8*Sqrt[E^(a + b*x)]*x)/b^2 + (2*Sqrt[E^(a + b*x)]*x^2)/b","A",3,2,15,0.1333,1,"{2176, 2194}"
93,1,34,0,0.0285417,"\int \sqrt{e^{a+b x}} x \, dx","Int[Sqrt[E^(a + b*x)]*x,x]","\frac{2 x \sqrt{e^{a+b x}}}{b}-\frac{4 \sqrt{e^{a+b x}}}{b^2}","\frac{2 x \sqrt{e^{a+b x}}}{b}-\frac{4 \sqrt{e^{a+b x}}}{b^2}",1,"(-4*Sqrt[E^(a + b*x)])/b^2 + (2*Sqrt[E^(a + b*x)]*x)/b","A",2,2,13,0.1538,1,"{2176, 2194}"
94,1,16,0,0.0065371,"\int \sqrt{e^{a+b x}} \, dx","Int[Sqrt[E^(a + b*x)],x]","\frac{2 \sqrt{e^{a+b x}}}{b}","\frac{2 \sqrt{e^{a+b x}}}{b}",1,"(2*Sqrt[E^(a + b*x)])/b","A",1,1,11,0.09091,1,"{2194}"
95,1,27,0,0.0583287,"\int \frac{\sqrt{e^{a+b x}}}{x} \, dx","Int[Sqrt[E^(a + b*x)]/x,x]","e^{-\frac{b x}{2}} \sqrt{e^{a+b x}} \text{Ei}\left(\frac{b x}{2}\right)","e^{-\frac{b x}{2}} \sqrt{e^{a+b x}} \text{Ei}\left(\frac{b x}{2}\right)",1,"(Sqrt[E^(a + b*x)]*ExpIntegralEi[(b*x)/2])/E^((b*x)/2)","A",2,2,15,0.1333,1,"{2182, 2178}"
96,1,48,0,0.0864004,"\int \frac{\sqrt{e^{a+b x}}}{x^2} \, dx","Int[Sqrt[E^(a + b*x)]/x^2,x]","\frac{1}{2} b e^{-\frac{b x}{2}} \sqrt{e^{a+b x}} \text{Ei}\left(\frac{b x}{2}\right)-\frac{\sqrt{e^{a+b x}}}{x}","\frac{1}{2} b e^{-\frac{b x}{2}} \sqrt{e^{a+b x}} \text{Ei}\left(\frac{b x}{2}\right)-\frac{\sqrt{e^{a+b x}}}{x}",1,"-(Sqrt[E^(a + b*x)]/x) + (b*Sqrt[E^(a + b*x)]*ExpIntegralEi[(b*x)/2])/(2*E^((b*x)/2))","A",3,3,15,0.2000,1,"{2177, 2182, 2178}"
97,1,71,0,0.1193161,"\int \frac{\sqrt{e^{a+b x}}}{x^3} \, dx","Int[Sqrt[E^(a + b*x)]/x^3,x]","\frac{1}{8} b^2 e^{-\frac{b x}{2}} \sqrt{e^{a+b x}} \text{Ei}\left(\frac{b x}{2}\right)-\frac{\sqrt{e^{a+b x}}}{2 x^2}-\frac{b \sqrt{e^{a+b x}}}{4 x}","\frac{1}{8} b^2 e^{-\frac{b x}{2}} \sqrt{e^{a+b x}} \text{Ei}\left(\frac{b x}{2}\right)-\frac{\sqrt{e^{a+b x}}}{2 x^2}-\frac{b \sqrt{e^{a+b x}}}{4 x}",1,"-Sqrt[E^(a + b*x)]/(2*x^2) - (b*Sqrt[E^(a + b*x)])/(4*x) + (b^2*Sqrt[E^(a + b*x)]*ExpIntegralEi[(b*x)/2])/(8*E^((b*x)/2))","A",4,3,15,0.2000,1,"{2177, 2182, 2178}"
98,1,92,0,0.1547133,"\int \frac{\sqrt{e^{a+b x}}}{x^4} \, dx","Int[Sqrt[E^(a + b*x)]/x^4,x]","\frac{1}{48} b^3 e^{-\frac{b x}{2}} \sqrt{e^{a+b x}} \text{Ei}\left(\frac{b x}{2}\right)-\frac{b^2 \sqrt{e^{a+b x}}}{24 x}-\frac{b \sqrt{e^{a+b x}}}{12 x^2}-\frac{\sqrt{e^{a+b x}}}{3 x^3}","\frac{1}{48} b^3 e^{-\frac{b x}{2}} \sqrt{e^{a+b x}} \text{Ei}\left(\frac{b x}{2}\right)-\frac{b^2 \sqrt{e^{a+b x}}}{24 x}-\frac{b \sqrt{e^{a+b x}}}{12 x^2}-\frac{\sqrt{e^{a+b x}}}{3 x^3}",1,"-Sqrt[E^(a + b*x)]/(3*x^3) - (b*Sqrt[E^(a + b*x)])/(12*x^2) - (b^2*Sqrt[E^(a + b*x)])/(24*x) + (b^3*Sqrt[E^(a + b*x)]*ExpIntegralEi[(b*x)/2])/(48*E^((b*x)/2))","A",5,3,15,0.2000,1,"{2177, 2182, 2178}"