1,1,25,0,0.0128368,"\int x^{100} \Gamma (0,a x) \, dx","Int[x^100*Gamma[0, a*x],x]","\frac{1}{101} x^{101} \Gamma (0,a x)-\frac{\Gamma (101,a x)}{101 a^{101}}","\frac{1}{101} x^{101} \Gamma (0,a x)-\frac{\Gamma (101,a x)}{101 a^{101}}",1,"(x^101*Gamma[0, a*x])/101 - Gamma[101, a*x]/(101*a^101)","A",1,1,9,0.1111,1,"{6562}"
2,1,25,0,0.0118545,"\int x^2 \Gamma (0,a x) \, dx","Int[x^2*Gamma[0, a*x],x]","\frac{1}{3} x^3 \Gamma (0,a x)-\frac{\Gamma (3,a x)}{3 a^3}","\frac{1}{3} x^3 \Gamma (0,a x)-\frac{\Gamma (3,a x)}{3 a^3}",1,"(x^3*Gamma[0, a*x])/3 - Gamma[3, a*x]/(3*a^3)","A",1,1,9,0.1111,1,"{6562}"
3,1,25,0,0.0081166,"\int x \Gamma (0,a x) \, dx","Int[x*Gamma[0, a*x],x]","\frac{1}{2} x^2 \Gamma (0,a x)-\frac{\Gamma (2,a x)}{2 a^2}","\frac{1}{2} x^2 \Gamma (0,a x)-\frac{\Gamma (2,a x)}{2 a^2}",1,"(x^2*Gamma[0, a*x])/2 - Gamma[2, a*x]/(2*a^2)","A",1,1,7,0.1429,1,"{6562}"
4,1,19,0,0.00454,"\int \Gamma (0,a x) \, dx","Int[Gamma[0, a*x],x]","x \Gamma (0,a x)-\frac{e^{-a x}}{a}","x \Gamma (0,a x)-\frac{e^{-a x}}{a}",1,"-(1/(a*E^(a*x))) + x*Gamma[0, a*x]","A",1,1,5,0.2000,1,"{6557}"
5,1,32,0,0.0163625,"\int \frac{\Gamma (0,a x)}{x} \, dx","Int[Gamma[0, a*x]/x,x]","a x \, _3F_3(1,1,1;2,2,2;-a x)-\frac{1}{2} \log ^2(a x)-\gamma  \log (x)","a x \, _3F_3(1,1,1;2,2,2;-a x)-\frac{1}{2} \log ^2(a x)-\gamma  \log (x)",1,"a*x*HypergeometricPFQ[{1, 1, 1}, {2, 2, 2}, -(a*x)] - EulerGamma*Log[x] - Log[a*x]^2/2","A",1,1,9,0.1111,1,"{6558}"
6,1,18,0,0.0118688,"\int \frac{\Gamma (0,a x)}{x^2} \, dx","Int[Gamma[0, a*x]/x^2,x]","a \Gamma (-1,a x)-\frac{\Gamma (0,a x)}{x}","a \Gamma (-1,a x)-\frac{\Gamma (0,a x)}{x}",1,"a*Gamma[-1, a*x] - Gamma[0, a*x]/x","A",1,1,9,0.1111,1,"{6562}"
7,1,25,0,0.011692,"\int \frac{\Gamma (0,a x)}{x^3} \, dx","Int[Gamma[0, a*x]/x^3,x]","\frac{1}{2} a^2 \Gamma (-2,a x)-\frac{\Gamma (0,a x)}{2 x^2}","\frac{1}{2} a^2 \Gamma (-2,a x)-\frac{\Gamma (0,a x)}{2 x^2}",1,"(a^2*Gamma[-2, a*x])/2 - Gamma[0, a*x]/(2*x^2)","A",1,1,9,0.1111,1,"{6562}"
8,1,25,0,0.0119832,"\int \frac{\Gamma (0,a x)}{x^4} \, dx","Int[Gamma[0, a*x]/x^4,x]","\frac{1}{3} a^3 \Gamma (-3,a x)-\frac{\Gamma (0,a x)}{3 x^3}","\frac{1}{3} a^3 \Gamma (-3,a x)-\frac{\Gamma (0,a x)}{3 x^3}",1,"(a^3*Gamma[-3, a*x])/3 - Gamma[0, a*x]/(3*x^3)","A",1,1,9,0.1111,1,"{6562}"
9,1,52,0,0.0459421,"\int e^{-a x} x^3 \, dx","Int[x^3/E^(a*x),x]","-\frac{6 e^{-a x}}{a^4}-\frac{6 x e^{-a x}}{a^3}-\frac{3 x^2 e^{-a x}}{a^2}-\frac{x^3 e^{-a x}}{a}","-\frac{6 e^{-a x}}{a^4}-\frac{6 x e^{-a x}}{a^3}-\frac{3 x^2 e^{-a x}}{a^2}-\frac{x^3 e^{-a x}}{a}",1,"-6/(a^4*E^(a*x)) - (6*x)/(a^3*E^(a*x)) - (3*x^2)/(a^2*E^(a*x)) - x^3/(a*E^(a*x))","A",4,2,10,0.2000,1,"{2176, 2194}"
10,1,38,0,0.0273073,"\int e^{-a x} x^2 \, dx","Int[x^2/E^(a*x),x]","-\frac{2 e^{-a x}}{a^3}-\frac{2 x e^{-a x}}{a^2}-\frac{x^2 e^{-a x}}{a}","-\frac{2 e^{-a x}}{a^3}-\frac{2 x e^{-a x}}{a^2}-\frac{x^2 e^{-a x}}{a}",1,"-2/(a^3*E^(a*x)) - (2*x)/(a^2*E^(a*x)) - x^2/(a*E^(a*x))","A",3,2,10,0.2000,1,"{2176, 2194}"
11,1,24,0,0.0116526,"\int e^{-a x} x \, dx","Int[x/E^(a*x),x]","-\frac{e^{-a x}}{a^2}-\frac{x e^{-a x}}{a}","-\frac{e^{-a x}}{a^2}-\frac{x e^{-a x}}{a}",1,"-(1/(a^2*E^(a*x))) - x/(a*E^(a*x))","A",2,2,8,0.2500,1,"{2176, 2194}"
12,1,11,0,0.0031075,"\int e^{-a x} \, dx","Int[E^(-(a*x)),x]","-\frac{e^{-a x}}{a}","-\frac{e^{-a x}}{a}",1,"-(1/(a*E^(a*x)))","A",1,1,6,0.1667,1,"{2194}"
13,1,5,0,0.0178041,"\int \frac{e^{-a x}}{x} \, dx","Int[1/(E^(a*x)*x),x]","\text{Ei}(-a x)","\text{Ei}(-a x)",1,"ExpIntegralEi[-(a*x)]","A",1,1,10,0.1000,1,"{2178}"
14,1,20,0,0.0273202,"\int \frac{e^{-a x}}{x^2} \, dx","Int[1/(E^(a*x)*x^2),x]","-a \text{Ei}(-a x)-\frac{e^{-a x}}{x}","-a \text{Ei}(-a x)-\frac{e^{-a x}}{x}",1,"-(1/(E^(a*x)*x)) - a*ExpIntegralEi[-(a*x)]","A",2,2,10,0.2000,1,"{2177, 2178}"
15,1,40,0,0.042423,"\int \frac{e^{-a x}}{x^3} \, dx","Int[1/(E^(a*x)*x^3),x]","\frac{1}{2} a^2 \text{Ei}(-a x)-\frac{e^{-a x}}{2 x^2}+\frac{a e^{-a x}}{2 x}","\frac{1}{2} a^2 \text{Ei}(-a x)-\frac{e^{-a x}}{2 x^2}+\frac{a e^{-a x}}{2 x}",1,"-1/(2*E^(a*x)*x^2) + a/(2*E^(a*x)*x) + (a^2*ExpIntegralEi[-(a*x)])/2","A",3,2,10,0.2000,1,"{2177, 2178}"
16,1,56,0,0.0606316,"\int \frac{e^{-a x}}{x^4} \, dx","Int[1/(E^(a*x)*x^4),x]","-\frac{1}{6} a^3 \text{Ei}(-a x)-\frac{a^2 e^{-a x}}{6 x}-\frac{e^{-a x}}{3 x^3}+\frac{a e^{-a x}}{6 x^2}","-\frac{1}{6} a^3 \text{Ei}(-a x)-\frac{a^2 e^{-a x}}{6 x}-\frac{e^{-a x}}{3 x^3}+\frac{a e^{-a x}}{6 x^2}",1,"-1/(3*E^(a*x)*x^3) + a/(6*E^(a*x)*x^2) - a^2/(6*E^(a*x)*x) - (a^3*ExpIntegralEi[-(a*x)])/6","A",4,2,10,0.2000,1,"{2177, 2178}"
17,1,25,0,0.0110706,"\int x^{100} \Gamma (2,a x) \, dx","Int[x^100*Gamma[2, a*x],x]","\frac{1}{101} x^{101} \Gamma (2,a x)-\frac{\Gamma (103,a x)}{101 a^{101}}","\frac{1}{101} x^{101} \Gamma (2,a x)-\frac{\Gamma (103,a x)}{101 a^{101}}",1,"(x^101*Gamma[2, a*x])/101 - Gamma[103, a*x]/(101*a^101)","A",1,1,9,0.1111,1,"{6562}"
18,1,25,0,0.0114131,"\int x^2 \Gamma (2,a x) \, dx","Int[x^2*Gamma[2, a*x],x]","\frac{1}{3} x^3 \Gamma (2,a x)-\frac{\Gamma (5,a x)}{3 a^3}","\frac{1}{3} x^3 \Gamma (2,a x)-\frac{\Gamma (5,a x)}{3 a^3}",1,"(x^3*Gamma[2, a*x])/3 - Gamma[5, a*x]/(3*a^3)","A",1,1,9,0.1111,1,"{6562}"
19,1,25,0,0.0072634,"\int x \Gamma (2,a x) \, dx","Int[x*Gamma[2, a*x],x]","\frac{1}{2} x^2 \Gamma (2,a x)-\frac{\Gamma (4,a x)}{2 a^2}","\frac{1}{2} x^2 \Gamma (2,a x)-\frac{\Gamma (4,a x)}{2 a^2}",1,"(x^2*Gamma[2, a*x])/2 - Gamma[4, a*x]/(2*a^2)","A",1,1,7,0.1429,1,"{6562}"
20,1,18,0,0.0046857,"\int \Gamma (2,a x) \, dx","Int[Gamma[2, a*x],x]","x \Gamma (2,a x)-\frac{\Gamma (3,a x)}{a}","x \Gamma (2,a x)-\frac{\Gamma (3,a x)}{a}",1,"x*Gamma[2, a*x] - Gamma[3, a*x]/a","A",1,1,5,0.2000,1,"{6557}"
21,1,14,0,0.0216466,"\int \frac{\Gamma (2,a x)}{x} \, dx","Int[Gamma[2, a*x]/x,x]","\text{Ei}(-a x)-e^{-a x}","\text{Ei}(-a x)-e^{-a x}",1,"-E^(-(a*x)) + ExpIntegralEi[-(a*x)]","A",2,2,9,0.2222,1,"{6559, 2178}"
22,1,19,0,0.0108617,"\int \frac{\Gamma (2,a x)}{x^2} \, dx","Int[Gamma[2, a*x]/x^2,x]","a e^{-a x}-\frac{\Gamma (2,a x)}{x}","a e^{-a x}-\frac{\Gamma (2,a x)}{x}",1,"a/E^(a*x) - Gamma[2, a*x]/x","A",1,1,9,0.1111,1,"{6562}"
23,1,25,0,0.0254874,"\int \frac{\Gamma (2,a x)}{x^3} \, dx","Int[Gamma[2, a*x]/x^3,x]","\frac{1}{2} a^2 \Gamma (0,a x)-\frac{\Gamma (2,a x)}{2 x^2}","\frac{1}{2} a^2 \Gamma (0,a x)-\frac{\Gamma (2,a x)}{2 x^2}",1,"(a^2*Gamma[0, a*x])/2 - Gamma[2, a*x]/(2*x^2)","A",1,1,9,0.1111,1,"{6562}"
24,1,25,0,0.0110446,"\int \frac{\Gamma (2,a x)}{x^4} \, dx","Int[Gamma[2, a*x]/x^4,x]","\frac{1}{3} a^3 \Gamma (-1,a x)-\frac{\Gamma (2,a x)}{3 x^3}","\frac{1}{3} a^3 \Gamma (-1,a x)-\frac{\Gamma (2,a x)}{3 x^3}",1,"(a^3*Gamma[-1, a*x])/3 - Gamma[2, a*x]/(3*x^3)","A",1,1,9,0.1111,1,"{6562}"
25,1,25,0,0.0104478,"\int x^{100} \Gamma (3,a x) \, dx","Int[x^100*Gamma[3, a*x],x]","\frac{1}{101} x^{101} \Gamma (3,a x)-\frac{\Gamma (104,a x)}{101 a^{101}}","\frac{1}{101} x^{101} \Gamma (3,a x)-\frac{\Gamma (104,a x)}{101 a^{101}}",1,"(x^101*Gamma[3, a*x])/101 - Gamma[104, a*x]/(101*a^101)","A",1,1,9,0.1111,1,"{6562}"
26,1,25,0,0.0106003,"\int x^2 \Gamma (3,a x) \, dx","Int[x^2*Gamma[3, a*x],x]","\frac{1}{3} x^3 \Gamma (3,a x)-\frac{\Gamma (6,a x)}{3 a^3}","\frac{1}{3} x^3 \Gamma (3,a x)-\frac{\Gamma (6,a x)}{3 a^3}",1,"(x^3*Gamma[3, a*x])/3 - Gamma[6, a*x]/(3*a^3)","A",1,1,9,0.1111,1,"{6562}"
27,1,25,0,0.0082294,"\int x \Gamma (3,a x) \, dx","Int[x*Gamma[3, a*x],x]","\frac{1}{2} x^2 \Gamma (3,a x)-\frac{\Gamma (5,a x)}{2 a^2}","\frac{1}{2} x^2 \Gamma (3,a x)-\frac{\Gamma (5,a x)}{2 a^2}",1,"(x^2*Gamma[3, a*x])/2 - Gamma[5, a*x]/(2*a^2)","A",1,1,7,0.1429,1,"{6562}"
28,1,18,0,0.0053197,"\int \Gamma (3,a x) \, dx","Int[Gamma[3, a*x],x]","x \Gamma (3,a x)-\frac{\Gamma (4,a x)}{a}","x \Gamma (3,a x)-\frac{\Gamma (4,a x)}{a}",1,"x*Gamma[3, a*x] - Gamma[4, a*x]/a","A",1,1,5,0.2000,1,"{6557}"
29,1,23,0,0.0369817,"\int \frac{\Gamma (3,a x)}{x} \, dx","Int[Gamma[3, a*x]/x,x]","2 \text{Ei}(-a x)-2 e^{-a x}-\Gamma (2,a x)","2 \text{Ei}(-a x)-2 e^{-a x}-\Gamma (2,a x)",1,"-2/E^(a*x) + 2*ExpIntegralEi[-(a*x)] - Gamma[2, a*x]","A",3,2,9,0.2222,1,"{6559, 2178}"
30,1,18,0,0.0141265,"\int \frac{\Gamma (3,a x)}{x^2} \, dx","Int[Gamma[3, a*x]/x^2,x]","a \Gamma (2,a x)-\frac{\Gamma (3,a x)}{x}","a \Gamma (2,a x)-\frac{\Gamma (3,a x)}{x}",1,"a*Gamma[2, a*x] - Gamma[3, a*x]/x","A",1,1,9,0.1111,1,"{6562}"
31,1,26,0,0.0109058,"\int \frac{\Gamma (3,a x)}{x^3} \, dx","Int[Gamma[3, a*x]/x^3,x]","\frac{1}{2} a^2 e^{-a x}-\frac{\Gamma (3,a x)}{2 x^2}","\frac{1}{2} a^2 e^{-a x}-\frac{\Gamma (3,a x)}{2 x^2}",1,"a^2/(2*E^(a*x)) - Gamma[3, a*x]/(2*x^2)","A",1,1,9,0.1111,1,"{6562}"
32,1,25,0,0.0152954,"\int \frac{\Gamma (3,a x)}{x^4} \, dx","Int[Gamma[3, a*x]/x^4,x]","\frac{1}{3} a^3 \Gamma (0,a x)-\frac{\Gamma (3,a x)}{3 x^3}","\frac{1}{3} a^3 \Gamma (0,a x)-\frac{\Gamma (3,a x)}{3 x^3}",1,"(a^3*Gamma[0, a*x])/3 - Gamma[3, a*x]/(3*x^3)","A",1,1,9,0.1111,1,"{6562}"
33,1,25,0,0.0108409,"\int x^{100} \Gamma (-1,a x) \, dx","Int[x^100*Gamma[-1, a*x],x]","\frac{1}{101} x^{101} \Gamma (-1,a x)-\frac{\Gamma (100,a x)}{101 a^{101}}","\frac{1}{101} x^{101} \Gamma (-1,a x)-\frac{\Gamma (100,a x)}{101 a^{101}}",1,"(x^101*Gamma[-1, a*x])/101 - Gamma[100, a*x]/(101*a^101)","A",1,1,9,0.1111,1,"{6562}"
34,1,25,0,0.0103835,"\int x^3 \Gamma (-1,a x) \, dx","Int[x^3*Gamma[-1, a*x],x]","\frac{1}{4} x^4 \Gamma (-1,a x)-\frac{\Gamma (3,a x)}{4 a^4}","\frac{1}{4} x^4 \Gamma (-1,a x)-\frac{\Gamma (3,a x)}{4 a^4}",1,"(x^4*Gamma[-1, a*x])/4 - Gamma[3, a*x]/(4*a^4)","A",1,1,9,0.1111,1,"{6562}"
35,1,25,0,0.0191292,"\int x^2 \Gamma (-1,a x) \, dx","Int[x^2*Gamma[-1, a*x],x]","\frac{1}{3} x^3 \Gamma (-1,a x)-\frac{\Gamma (2,a x)}{3 a^3}","\frac{1}{3} x^3 \Gamma (-1,a x)-\frac{\Gamma (2,a x)}{3 a^3}",1,"(x^3*Gamma[-1, a*x])/3 - Gamma[2, a*x]/(3*a^3)","A",1,1,9,0.1111,1,"{6562}"
36,1,26,0,0.0068011,"\int x \Gamma (-1,a x) \, dx","Int[x*Gamma[-1, a*x],x]","\frac{1}{2} x^2 \Gamma (-1,a x)-\frac{e^{-a x}}{2 a^2}","\frac{1}{2} x^2 \Gamma (-1,a x)-\frac{e^{-a x}}{2 a^2}",1,"-1/(2*a^2*E^(a*x)) + (x^2*Gamma[-1, a*x])/2","A",1,1,7,0.1429,1,"{6562}"
37,1,18,0,0.0195761,"\int \Gamma (-1,a x) \, dx","Int[Gamma[-1, a*x],x]","x \Gamma (-1,a x)-\frac{\Gamma (0,a x)}{a}","x \Gamma (-1,a x)-\frac{\Gamma (0,a x)}{a}",1,"x*Gamma[-1, a*x] - Gamma[0, a*x]/a","A",1,1,5,0.2000,1,"{6557}"
38,1,39,0,0.0241561,"\int \frac{\Gamma (-1,a x)}{x} \, dx","Int[Gamma[-1, a*x]/x,x]","-a x \, _3F_3(1,1,1;2,2,2;-a x)+\frac{1}{2} \log ^2(a x)-\Gamma (-1,a x)+\gamma  \log (x)","-a x \, _3F_3(1,1,1;2,2,2;-a x)+\frac{1}{2} \log ^2(a x)-\Gamma (-1,a x)+\gamma  \log (x)",1,"-Gamma[-1, a*x] - a*x*HypergeometricPFQ[{1, 1, 1}, {2, 2, 2}, -(a*x)] + EulerGamma*Log[x] + Log[a*x]^2/2","A",2,2,9,0.2222,1,"{6560, 6558}"
39,1,18,0,0.0189262,"\int \frac{\Gamma (-1,a x)}{x^2} \, dx","Int[Gamma[-1, a*x]/x^2,x]","a \Gamma (-2,a x)-\frac{\Gamma (-1,a x)}{x}","a \Gamma (-2,a x)-\frac{\Gamma (-1,a x)}{x}",1,"a*Gamma[-2, a*x] - Gamma[-1, a*x]/x","A",1,1,9,0.1111,1,"{6562}"
40,1,25,0,0.0108959,"\int \frac{\Gamma (-1,a x)}{x^3} \, dx","Int[Gamma[-1, a*x]/x^3,x]","\frac{1}{2} a^2 \Gamma (-3,a x)-\frac{\Gamma (-1,a x)}{2 x^2}","\frac{1}{2} a^2 \Gamma (-3,a x)-\frac{\Gamma (-1,a x)}{2 x^2}",1,"(a^2*Gamma[-3, a*x])/2 - Gamma[-1, a*x]/(2*x^2)","A",1,1,9,0.1111,1,"{6562}"
41,1,25,0,0.0121334,"\int \frac{\Gamma (-1,a x)}{x^4} \, dx","Int[Gamma[-1, a*x]/x^4,x]","\frac{1}{3} a^3 \Gamma (-4,a x)-\frac{\Gamma (-1,a x)}{3 x^3}","\frac{1}{3} a^3 \Gamma (-4,a x)-\frac{\Gamma (-1,a x)}{3 x^3}",1,"(a^3*Gamma[-4, a*x])/3 - Gamma[-1, a*x]/(3*x^3)","A",1,1,9,0.1111,1,"{6562}"
42,1,25,0,0.0124947,"\int x^{100} \Gamma (-2,a x) \, dx","Int[x^100*Gamma[-2, a*x],x]","\frac{1}{101} x^{101} \Gamma (-2,a x)-\frac{\Gamma (99,a x)}{101 a^{101}}","\frac{1}{101} x^{101} \Gamma (-2,a x)-\frac{\Gamma (99,a x)}{101 a^{101}}",1,"(x^101*Gamma[-2, a*x])/101 - Gamma[99, a*x]/(101*a^101)","A",1,1,9,0.1111,1,"{6562}"
43,1,25,0,0.0115281,"\int x^3 \Gamma (-2,a x) \, dx","Int[x^3*Gamma[-2, a*x],x]","\frac{1}{4} x^4 \Gamma (-2,a x)-\frac{\Gamma (2,a x)}{4 a^4}","\frac{1}{4} x^4 \Gamma (-2,a x)-\frac{\Gamma (2,a x)}{4 a^4}",1,"(x^4*Gamma[-2, a*x])/4 - Gamma[2, a*x]/(4*a^4)","A",1,1,9,0.1111,1,"{6562}"
44,1,26,0,0.0116089,"\int x^2 \Gamma (-2,a x) \, dx","Int[x^2*Gamma[-2, a*x],x]","\frac{1}{3} x^3 \Gamma (-2,a x)-\frac{e^{-a x}}{3 a^3}","\frac{1}{3} x^3 \Gamma (-2,a x)-\frac{e^{-a x}}{3 a^3}",1,"-1/(3*a^3*E^(a*x)) + (x^3*Gamma[-2, a*x])/3","A",1,1,9,0.1111,1,"{6562}"
45,1,25,0,0.0080352,"\int x \Gamma (-2,a x) \, dx","Int[x*Gamma[-2, a*x],x]","\frac{1}{2} x^2 \Gamma (-2,a x)-\frac{\Gamma (0,a x)}{2 a^2}","\frac{1}{2} x^2 \Gamma (-2,a x)-\frac{\Gamma (0,a x)}{2 a^2}",1,"(x^2*Gamma[-2, a*x])/2 - Gamma[0, a*x]/(2*a^2)","A",1,1,7,0.1429,1,"{6562}"
46,1,18,0,0.0046178,"\int \Gamma (-2,a x) \, dx","Int[Gamma[-2, a*x],x]","x \Gamma (-2,a x)-\frac{\Gamma (-1,a x)}{a}","x \Gamma (-2,a x)-\frac{\Gamma (-1,a x)}{a}",1,"x*Gamma[-2, a*x] - Gamma[-1, a*x]/a","A",1,1,5,0.2000,1,"{6557}"
47,1,55,0,0.0469719,"\int \frac{\Gamma (-2,a x)}{x} \, dx","Int[Gamma[-2, a*x]/x,x]","\frac{1}{2} a x \, _3F_3(1,1,1;2,2,2;-a x)-\frac{1}{4} \log ^2(a x)-\frac{\Gamma (-2,a x)}{2}+\frac{\Gamma (-1,a x)}{2}-\frac{1}{2} \gamma  \log (x)","\frac{1}{2} a x \, _3F_3(1,1,1;2,2,2;-a x)-\frac{1}{4} \log ^2(a x)-\frac{\Gamma (-2,a x)}{2}+\frac{\Gamma (-1,a x)}{2}-\frac{1}{2} \gamma  \log (x)",1,"-Gamma[-2, a*x]/2 + Gamma[-1, a*x]/2 + (a*x*HypergeometricPFQ[{1, 1, 1}, {2, 2, 2}, -(a*x)])/2 - (EulerGamma*Log[x])/2 - Log[a*x]^2/4","A",3,2,9,0.2222,1,"{6560, 6558}"
48,1,18,0,0.0121882,"\int \frac{\Gamma (-2,a x)}{x^2} \, dx","Int[Gamma[-2, a*x]/x^2,x]","a \Gamma (-3,a x)-\frac{\Gamma (-2,a x)}{x}","a \Gamma (-3,a x)-\frac{\Gamma (-2,a x)}{x}",1,"a*Gamma[-3, a*x] - Gamma[-2, a*x]/x","A",1,1,9,0.1111,1,"{6562}"
49,1,25,0,0.0133843,"\int \frac{\Gamma (-2,a x)}{x^3} \, dx","Int[Gamma[-2, a*x]/x^3,x]","\frac{1}{2} a^2 \Gamma (-4,a x)-\frac{\Gamma (-2,a x)}{2 x^2}","\frac{1}{2} a^2 \Gamma (-4,a x)-\frac{\Gamma (-2,a x)}{2 x^2}",1,"(a^2*Gamma[-4, a*x])/2 - Gamma[-2, a*x]/(2*x^2)","A",1,1,9,0.1111,1,"{6562}"
50,1,25,0,0.0107843,"\int \frac{\Gamma (-2,a x)}{x^4} \, dx","Int[Gamma[-2, a*x]/x^4,x]","\frac{1}{3} a^3 \Gamma (-5,a x)-\frac{\Gamma (-2,a x)}{3 x^3}","\frac{1}{3} a^3 \Gamma (-5,a x)-\frac{\Gamma (-2,a x)}{3 x^3}",1,"(a^3*Gamma[-5, a*x])/3 - Gamma[-2, a*x]/(3*x^3)","A",1,1,9,0.1111,1,"{6562}"
51,1,25,0,0.0144482,"\int x^{100} \Gamma (-3,a x) \, dx","Int[x^100*Gamma[-3, a*x],x]","\frac{1}{101} x^{101} \Gamma (-3,a x)-\frac{\Gamma (98,a x)}{101 a^{101}}","\frac{1}{101} x^{101} \Gamma (-3,a x)-\frac{\Gamma (98,a x)}{101 a^{101}}",1,"(x^101*Gamma[-3, a*x])/101 - Gamma[98, a*x]/(101*a^101)","A",1,1,9,0.1111,1,"{6562}"
52,1,26,0,0.0113715,"\int x^3 \Gamma (-3,a x) \, dx","Int[x^3*Gamma[-3, a*x],x]","\frac{1}{4} x^4 \Gamma (-3,a x)-\frac{e^{-a x}}{4 a^4}","\frac{1}{4} x^4 \Gamma (-3,a x)-\frac{e^{-a x}}{4 a^4}",1,"-1/(4*a^4*E^(a*x)) + (x^4*Gamma[-3, a*x])/4","A",1,1,9,0.1111,1,"{6562}"
53,1,25,0,0.0110532,"\int x^2 \Gamma (-3,a x) \, dx","Int[x^2*Gamma[-3, a*x],x]","\frac{1}{3} x^3 \Gamma (-3,a x)-\frac{\Gamma (0,a x)}{3 a^3}","\frac{1}{3} x^3 \Gamma (-3,a x)-\frac{\Gamma (0,a x)}{3 a^3}",1,"(x^3*Gamma[-3, a*x])/3 - Gamma[0, a*x]/(3*a^3)","A",1,1,9,0.1111,1,"{6562}"
54,1,25,0,0.0085718,"\int x \Gamma (-3,a x) \, dx","Int[x*Gamma[-3, a*x],x]","\frac{1}{2} x^2 \Gamma (-3,a x)-\frac{\Gamma (-1,a x)}{2 a^2}","\frac{1}{2} x^2 \Gamma (-3,a x)-\frac{\Gamma (-1,a x)}{2 a^2}",1,"(x^2*Gamma[-3, a*x])/2 - Gamma[-1, a*x]/(2*a^2)","A",1,1,7,0.1429,1,"{6562}"
55,1,18,0,0.0041177,"\int \Gamma (-3,a x) \, dx","Int[Gamma[-3, a*x],x]","x \Gamma (-3,a x)-\frac{\Gamma (-2,a x)}{a}","x \Gamma (-3,a x)-\frac{\Gamma (-2,a x)}{a}",1,"x*Gamma[-3, a*x] - Gamma[-2, a*x]/a","A",1,1,5,0.2000,1,"{6557}"
56,1,64,0,0.0569268,"\int \frac{\Gamma (-3,a x)}{x} \, dx","Int[Gamma[-3, a*x]/x,x]","-\frac{1}{6} a x \, _3F_3(1,1,1;2,2,2;-a x)+\frac{1}{12} \log ^2(a x)-\frac{\Gamma (-3,a x)}{3}+\frac{\Gamma (-2,a x)}{6}-\frac{\Gamma (-1,a x)}{6}+\frac{1}{6} \gamma  \log (x)","-\frac{1}{6} a x \, _3F_3(1,1,1;2,2,2;-a x)+\frac{1}{12} \log ^2(a x)-\frac{\Gamma (-3,a x)}{3}+\frac{\Gamma (-2,a x)}{6}-\frac{\Gamma (-1,a x)}{6}+\frac{1}{6} \gamma  \log (x)",1,"-Gamma[-3, a*x]/3 + Gamma[-2, a*x]/6 - Gamma[-1, a*x]/6 - (a*x*HypergeometricPFQ[{1, 1, 1}, {2, 2, 2}, -(a*x)])/6 + (EulerGamma*Log[x])/6 + Log[a*x]^2/12","A",4,2,9,0.2222,1,"{6560, 6558}"
57,1,18,0,0.0118719,"\int \frac{\Gamma (-3,a x)}{x^2} \, dx","Int[Gamma[-3, a*x]/x^2,x]","a \Gamma (-4,a x)-\frac{\Gamma (-3,a x)}{x}","a \Gamma (-4,a x)-\frac{\Gamma (-3,a x)}{x}",1,"a*Gamma[-4, a*x] - Gamma[-3, a*x]/x","A",1,1,9,0.1111,1,"{6562}"
58,1,25,0,0.0121946,"\int \frac{\Gamma (-3,a x)}{x^3} \, dx","Int[Gamma[-3, a*x]/x^3,x]","\frac{1}{2} a^2 \Gamma (-5,a x)-\frac{\Gamma (-3,a x)}{2 x^2}","\frac{1}{2} a^2 \Gamma (-5,a x)-\frac{\Gamma (-3,a x)}{2 x^2}",1,"(a^2*Gamma[-5, a*x])/2 - Gamma[-3, a*x]/(2*x^2)","A",1,1,9,0.1111,1,"{6562}"
59,1,25,0,0.0130427,"\int \frac{\Gamma (-3,a x)}{x^4} \, dx","Int[Gamma[-3, a*x]/x^4,x]","\frac{1}{3} a^3 \Gamma (-6,a x)-\frac{\Gamma (-3,a x)}{3 x^3}","\frac{1}{3} a^3 \Gamma (-6,a x)-\frac{\Gamma (-3,a x)}{3 x^3}",1,"(a^3*Gamma[-6, a*x])/3 - Gamma[-3, a*x]/(3*x^3)","A",1,1,9,0.1111,1,"{6562}"
60,1,29,0,0.0117659,"\int x^{100} \Gamma \left(\frac{1}{2},a x\right) \, dx","Int[x^100*Gamma[1/2, a*x],x]","\frac{1}{101} x^{101} \Gamma \left(\frac{1}{2},a x\right)-\frac{\Gamma \left(\frac{203}{2},a x\right)}{101 a^{101}}","\frac{1}{101} x^{101} \Gamma \left(\frac{1}{2},a x\right)-\frac{\Gamma \left(\frac{203}{2},a x\right)}{101 a^{101}}",1,"(x^101*Gamma[1/2, a*x])/101 - Gamma[203/2, a*x]/(101*a^101)","A",1,1,11,0.09091,1,"{6562}"
61,1,29,0,0.0114828,"\int x^2 \Gamma \left(\frac{1}{2},a x\right) \, dx","Int[x^2*Gamma[1/2, a*x],x]","\frac{1}{3} x^3 \Gamma \left(\frac{1}{2},a x\right)-\frac{\Gamma \left(\frac{7}{2},a x\right)}{3 a^3}","\frac{1}{3} x^3 \Gamma \left(\frac{1}{2},a x\right)-\frac{\Gamma \left(\frac{7}{2},a x\right)}{3 a^3}",1,"(x^3*Gamma[1/2, a*x])/3 - Gamma[7/2, a*x]/(3*a^3)","A",1,1,11,0.09091,1,"{6562}"
62,1,29,0,0.0069942,"\int x \Gamma \left(\frac{1}{2},a x\right) \, dx","Int[x*Gamma[1/2, a*x],x]","\frac{1}{2} x^2 \Gamma \left(\frac{1}{2},a x\right)-\frac{\Gamma \left(\frac{5}{2},a x\right)}{2 a^2}","\frac{1}{2} x^2 \Gamma \left(\frac{1}{2},a x\right)-\frac{\Gamma \left(\frac{5}{2},a x\right)}{2 a^2}",1,"(x^2*Gamma[1/2, a*x])/2 - Gamma[5/2, a*x]/(2*a^2)","A",1,1,9,0.1111,1,"{6562}"
63,1,22,0,0.0040824,"\int \Gamma \left(\frac{1}{2},a x\right) \, dx","Int[Gamma[1/2, a*x],x]","x \Gamma \left(\frac{1}{2},a x\right)-\frac{\Gamma \left(\frac{3}{2},a x\right)}{a}","x \Gamma \left(\frac{1}{2},a x\right)-\frac{\Gamma \left(\frac{3}{2},a x\right)}{a}",1,"x*Gamma[1/2, a*x] - Gamma[3/2, a*x]/a","A",1,1,7,0.1429,1,"{6557}"
64,1,37,0,0.0129486,"\int \frac{\Gamma \left(\frac{1}{2},a x\right)}{x} \, dx","Int[Gamma[1/2, a*x]/x,x]","\sqrt{\pi } \log (x)-4 \sqrt{a x} \, _2F_2\left(\frac{1}{2},\frac{1}{2};\frac{3}{2},\frac{3}{2};-a x\right)","\sqrt{\pi } \log (x)-4 \sqrt{a x} \, _2F_2\left(\frac{1}{2},\frac{1}{2};\frac{3}{2},\frac{3}{2};-a x\right)",1,"-4*Sqrt[a*x]*HypergeometricPFQ[{1/2, 1/2}, {3/2, 3/2}, -(a*x)] + Sqrt[Pi]*Log[x]","A",1,1,11,0.09091,1,"{6561}"
65,1,22,0,0.0120726,"\int \frac{\Gamma \left(\frac{1}{2},a x\right)}{x^2} \, dx","Int[Gamma[1/2, a*x]/x^2,x]","a \Gamma \left(-\frac{1}{2},a x\right)-\frac{\Gamma \left(\frac{1}{2},a x\right)}{x}","a \Gamma \left(-\frac{1}{2},a x\right)-\frac{\Gamma \left(\frac{1}{2},a x\right)}{x}",1,"a*Gamma[-1/2, a*x] - Gamma[1/2, a*x]/x","A",1,1,11,0.09091,1,"{6562}"
66,1,29,0,0.0108986,"\int \frac{\Gamma \left(\frac{1}{2},a x\right)}{x^3} \, dx","Int[Gamma[1/2, a*x]/x^3,x]","\frac{1}{2} a^2 \Gamma \left(-\frac{3}{2},a x\right)-\frac{\Gamma \left(\frac{1}{2},a x\right)}{2 x^2}","\frac{1}{2} a^2 \Gamma \left(-\frac{3}{2},a x\right)-\frac{\Gamma \left(\frac{1}{2},a x\right)}{2 x^2}",1,"(a^2*Gamma[-3/2, a*x])/2 - Gamma[1/2, a*x]/(2*x^2)","A",1,1,11,0.09091,1,"{6562}"
67,1,29,0,0.0116493,"\int \frac{\Gamma \left(\frac{1}{2},a x\right)}{x^4} \, dx","Int[Gamma[1/2, a*x]/x^4,x]","\frac{1}{3} a^3 \Gamma \left(-\frac{5}{2},a x\right)-\frac{\Gamma \left(\frac{1}{2},a x\right)}{3 x^3}","\frac{1}{3} a^3 \Gamma \left(-\frac{5}{2},a x\right)-\frac{\Gamma \left(\frac{1}{2},a x\right)}{3 x^3}",1,"(a^3*Gamma[-5/2, a*x])/3 - Gamma[1/2, a*x]/(3*x^3)","A",1,1,11,0.09091,1,"{6562}"
68,1,29,0,0.0106239,"\int x^{100} \Gamma \left(\frac{3}{2},a x\right) \, dx","Int[x^100*Gamma[3/2, a*x],x]","\frac{1}{101} x^{101} \Gamma \left(\frac{3}{2},a x\right)-\frac{\Gamma \left(\frac{205}{2},a x\right)}{101 a^{101}}","\frac{1}{101} x^{101} \Gamma \left(\frac{3}{2},a x\right)-\frac{\Gamma \left(\frac{205}{2},a x\right)}{101 a^{101}}",1,"(x^101*Gamma[3/2, a*x])/101 - Gamma[205/2, a*x]/(101*a^101)","A",1,1,11,0.09091,1,"{6562}"
69,1,29,0,0.0172553,"\int x^2 \Gamma \left(\frac{3}{2},a x\right) \, dx","Int[x^2*Gamma[3/2, a*x],x]","\frac{1}{3} x^3 \Gamma \left(\frac{3}{2},a x\right)-\frac{\Gamma \left(\frac{9}{2},a x\right)}{3 a^3}","\frac{1}{3} x^3 \Gamma \left(\frac{3}{2},a x\right)-\frac{\Gamma \left(\frac{9}{2},a x\right)}{3 a^3}",1,"(x^3*Gamma[3/2, a*x])/3 - Gamma[9/2, a*x]/(3*a^3)","A",1,1,11,0.09091,1,"{6562}"
70,1,29,0,0.0074293,"\int x \Gamma \left(\frac{3}{2},a x\right) \, dx","Int[x*Gamma[3/2, a*x],x]","\frac{1}{2} x^2 \Gamma \left(\frac{3}{2},a x\right)-\frac{\Gamma \left(\frac{7}{2},a x\right)}{2 a^2}","\frac{1}{2} x^2 \Gamma \left(\frac{3}{2},a x\right)-\frac{\Gamma \left(\frac{7}{2},a x\right)}{2 a^2}",1,"(x^2*Gamma[3/2, a*x])/2 - Gamma[7/2, a*x]/(2*a^2)","A",1,1,9,0.1111,1,"{6562}"
71,1,22,0,0.0045474,"\int \Gamma \left(\frac{3}{2},a x\right) \, dx","Int[Gamma[3/2, a*x],x]","x \Gamma \left(\frac{3}{2},a x\right)-\frac{\Gamma \left(\frac{5}{2},a x\right)}{a}","x \Gamma \left(\frac{3}{2},a x\right)-\frac{\Gamma \left(\frac{5}{2},a x\right)}{a}",1,"x*Gamma[3/2, a*x] - Gamma[5/2, a*x]/a","A",1,1,7,0.1429,1,"{6557}"
72,1,42,0,0.0207976,"\int \frac{\Gamma \left(\frac{3}{2},a x\right)}{x} \, dx","Int[Gamma[3/2, a*x]/x,x]","\frac{1}{2} \sqrt{\pi } \log (x)-\frac{4}{9} (a x)^{3/2} \, _2F_2\left(\frac{3}{2},\frac{3}{2};\frac{5}{2},\frac{5}{2};-a x\right)","\frac{1}{2} \sqrt{\pi } \log (x)-\frac{4}{9} (a x)^{3/2} \, _2F_2\left(\frac{3}{2},\frac{3}{2};\frac{5}{2},\frac{5}{2};-a x\right)",1,"(-4*(a*x)^(3/2)*HypergeometricPFQ[{3/2, 3/2}, {5/2, 5/2}, -(a*x)])/9 + (Sqrt[Pi]*Log[x])/2","A",1,1,11,0.09091,1,"{6561}"
73,1,22,0,0.0106505,"\int \frac{\Gamma \left(\frac{3}{2},a x\right)}{x^2} \, dx","Int[Gamma[3/2, a*x]/x^2,x]","a \Gamma \left(\frac{1}{2},a x\right)-\frac{\Gamma \left(\frac{3}{2},a x\right)}{x}","a \Gamma \left(\frac{1}{2},a x\right)-\frac{\Gamma \left(\frac{3}{2},a x\right)}{x}",1,"a*Gamma[1/2, a*x] - Gamma[3/2, a*x]/x","A",1,1,11,0.09091,1,"{6562}"
74,1,29,0,0.0105829,"\int \frac{\Gamma \left(\frac{3}{2},a x\right)}{x^3} \, dx","Int[Gamma[3/2, a*x]/x^3,x]","\frac{1}{2} a^2 \Gamma \left(-\frac{1}{2},a x\right)-\frac{\Gamma \left(\frac{3}{2},a x\right)}{2 x^2}","\frac{1}{2} a^2 \Gamma \left(-\frac{1}{2},a x\right)-\frac{\Gamma \left(\frac{3}{2},a x\right)}{2 x^2}",1,"(a^2*Gamma[-1/2, a*x])/2 - Gamma[3/2, a*x]/(2*x^2)","A",1,1,11,0.09091,1,"{6562}"
75,1,29,0,0.0212514,"\int \frac{\Gamma \left(\frac{3}{2},a x\right)}{x^4} \, dx","Int[Gamma[3/2, a*x]/x^4,x]","\frac{1}{3} a^3 \Gamma \left(-\frac{3}{2},a x\right)-\frac{\Gamma \left(\frac{3}{2},a x\right)}{3 x^3}","\frac{1}{3} a^3 \Gamma \left(-\frac{3}{2},a x\right)-\frac{\Gamma \left(\frac{3}{2},a x\right)}{3 x^3}",1,"(a^3*Gamma[-3/2, a*x])/3 - Gamma[3/2, a*x]/(3*x^3)","A",1,1,11,0.09091,1,"{6562}"
76,1,51,0,0.018817,"\int (d x)^m \Gamma (3,b x) \, dx","Int[(d*x)^m*Gamma[3, b*x],x]","\frac{\Gamma (3,b x) (d x)^{m+1}}{d (m+1)}-\frac{(b x)^{-m} (d x)^m \Gamma (m+4,b x)}{b (m+1)}","\frac{\Gamma (3,b x) (d x)^{m+1}}{d (m+1)}-\frac{(b x)^{-m} (d x)^m \Gamma (m+4,b x)}{b (m+1)}",1,"((d*x)^(1 + m)*Gamma[3, b*x])/(d*(1 + m)) - ((d*x)^m*Gamma[4 + m, b*x])/(b*(1 + m)*(b*x)^m)","A",1,1,11,0.09091,1,"{6562}"
77,1,51,0,0.026107,"\int (d x)^m \Gamma (2,b x) \, dx","Int[(d*x)^m*Gamma[2, b*x],x]","\frac{\Gamma (2,b x) (d x)^{m+1}}{d (m+1)}-\frac{(b x)^{-m} (d x)^m \Gamma (m+3,b x)}{b (m+1)}","\frac{\Gamma (2,b x) (d x)^{m+1}}{d (m+1)}-\frac{(b x)^{-m} (d x)^m \Gamma (m+3,b x)}{b (m+1)}",1,"((d*x)^(1 + m)*Gamma[2, b*x])/(d*(1 + m)) - ((d*x)^m*Gamma[3 + m, b*x])/(b*(1 + m)*(b*x)^m)","A",1,1,11,0.09091,1,"{6562}"
78,1,24,0,0.015853,"\int e^{-b x} (d x)^m \, dx","Int[(d*x)^m/E^(b*x),x]","-\frac{(b x)^{-m} (d x)^m \Gamma (m+1,b x)}{b}","-\frac{(b x)^{-m} (d x)^m \Gamma (m+1,b x)}{b}",1,"-(((d*x)^m*Gamma[1 + m, b*x])/(b*(b*x)^m))","A",1,1,12,0.08333,1,"{2181}"
79,1,51,0,0.0188351,"\int (d x)^m \Gamma (0,b x) \, dx","Int[(d*x)^m*Gamma[0, b*x],x]","\frac{\Gamma (0,b x) (d x)^{m+1}}{d (m+1)}-\frac{(b x)^{-m} (d x)^m \Gamma (m+1,b x)}{b (m+1)}","\frac{\Gamma (0,b x) (d x)^{m+1}}{d (m+1)}-\frac{(b x)^{-m} (d x)^m \Gamma (m+1,b x)}{b (m+1)}",1,"((d*x)^(1 + m)*Gamma[0, b*x])/(d*(1 + m)) - ((d*x)^m*Gamma[1 + m, b*x])/(b*(1 + m)*(b*x)^m)","A",1,1,11,0.09091,1,"{6562}"
80,1,49,0,0.0664719,"\int (d x)^m \Gamma (-1,b x) \, dx","Int[(d*x)^m*Gamma[-1, b*x],x]","\frac{\Gamma (-1,b x) (d x)^{m+1}}{d (m+1)}-\frac{(b x)^{-m} (d x)^m \Gamma (m,b x)}{b (m+1)}","\frac{\Gamma (-1,b x) (d x)^{m+1}}{d (m+1)}-\frac{(b x)^{-m} (d x)^m \Gamma (m,b x)}{b (m+1)}",1,"((d*x)^(1 + m)*Gamma[-1, b*x])/(d*(1 + m)) - ((d*x)^m*Gamma[m, b*x])/(b*(1 + m)*(b*x)^m)","A",1,1,11,0.09091,1,"{6562}"
81,1,51,0,0.0174479,"\int (d x)^m \Gamma (-2,b x) \, dx","Int[(d*x)^m*Gamma[-2, b*x],x]","\frac{\Gamma (-2,b x) (d x)^{m+1}}{d (m+1)}-\frac{(b x)^{-m} (d x)^m \Gamma (m-1,b x)}{b (m+1)}","\frac{\Gamma (-2,b x) (d x)^{m+1}}{d (m+1)}-\frac{(b x)^{-m} (d x)^m \Gamma (m-1,b x)}{b (m+1)}",1,"((d*x)^(1 + m)*Gamma[-2, b*x])/(d*(1 + m)) - ((d*x)^m*Gamma[-1 + m, b*x])/(b*(1 + m)*(b*x)^m)","A",1,1,11,0.09091,1,"{6562}"
82,1,28,0,0.011848,"\int x^m \Gamma (n,x) \, dx","Int[x^m*Gamma[n, x],x]","\frac{x^{m+1} \Gamma (n,x)}{m+1}-\frac{\Gamma (m+n+1,x)}{m+1}","\frac{x^{m+1} \Gamma (n,x)}{m+1}-\frac{\Gamma (m+n+1,x)}{m+1}",1,"(x^(1 + m)*Gamma[n, x])/(1 + m) - Gamma[1 + m + n, x]/(1 + m)","A",1,1,7,0.1429,1,"{6562}"
83,1,45,0,0.0139413,"\int x^m \Gamma (n,b x) \, dx","Int[x^m*Gamma[n, b*x],x]","\frac{x^{m+1} \Gamma (n,b x)}{m+1}-\frac{x^m (b x)^{-m} \Gamma (m+n+1,b x)}{b (m+1)}","\frac{x^{m+1} \Gamma (n,b x)}{m+1}-\frac{x^m (b x)^{-m} \Gamma (m+n+1,b x)}{b (m+1)}",1,"(x^(1 + m)*Gamma[n, b*x])/(1 + m) - (x^m*Gamma[1 + m + n, b*x])/(b*(1 + m)*(b*x)^m)","A",1,1,9,0.1111,1,"{6562}"
84,1,43,0,0.0153453,"\int (d x)^m \Gamma (n,x) \, dx","Int[(d*x)^m*Gamma[n, x],x]","\frac{(d x)^{m+1} \Gamma (n,x)}{d (m+1)}-\frac{x^{-m} (d x)^m \Gamma (m+n+1,x)}{m+1}","\frac{(d x)^{m+1} \Gamma (n,x)}{d (m+1)}-\frac{x^{-m} (d x)^m \Gamma (m+n+1,x)}{m+1}",1,"((d*x)^(1 + m)*Gamma[n, x])/(d*(1 + m)) - ((d*x)^m*Gamma[1 + m + n, x])/((1 + m)*x^m)","A",1,1,9,0.1111,1,"{6562}"
85,1,52,0,0.0174544,"\int (d x)^m \Gamma (n,b x) \, dx","Int[(d*x)^m*Gamma[n, b*x],x]","\frac{(d x)^{m+1} \Gamma (n,b x)}{d (m+1)}-\frac{(b x)^{-m} (d x)^m \Gamma (m+n+1,b x)}{b (m+1)}","\frac{(d x)^{m+1} \Gamma (n,b x)}{d (m+1)}-\frac{(b x)^{-m} (d x)^m \Gamma (m+n+1,b x)}{b (m+1)}",1,"((d*x)^(1 + m)*Gamma[n, b*x])/(d*(1 + m)) - ((d*x)^m*Gamma[1 + m + n, b*x])/(b*(1 + m)*(b*x)^m)","A",1,1,11,0.09091,1,"{6562}"
86,1,27,0,0.0110531,"\int x^{100} \Gamma (n,a x) \, dx","Int[x^100*Gamma[n, a*x],x]","\frac{1}{101} x^{101} \Gamma (n,a x)-\frac{\Gamma (n+101,a x)}{101 a^{101}}","\frac{1}{101} x^{101} \Gamma (n,a x)-\frac{\Gamma (n+101,a x)}{101 a^{101}}",1,"(x^101*Gamma[n, a*x])/101 - Gamma[101 + n, a*x]/(101*a^101)","A",1,1,9,0.1111,1,"{6562}"
87,1,27,0,0.0104721,"\int x^2 \Gamma (n,a x) \, dx","Int[x^2*Gamma[n, a*x],x]","\frac{1}{3} x^3 \Gamma (n,a x)-\frac{\Gamma (n+3,a x)}{3 a^3}","\frac{1}{3} x^3 \Gamma (n,a x)-\frac{\Gamma (n+3,a x)}{3 a^3}",1,"(x^3*Gamma[n, a*x])/3 - Gamma[3 + n, a*x]/(3*a^3)","A",1,1,9,0.1111,1,"{6562}"
88,1,27,0,0.0075506,"\int x \Gamma (n,a x) \, dx","Int[x*Gamma[n, a*x],x]","\frac{1}{2} x^2 \Gamma (n,a x)-\frac{\Gamma (n+2,a x)}{2 a^2}","\frac{1}{2} x^2 \Gamma (n,a x)-\frac{\Gamma (n+2,a x)}{2 a^2}",1,"(x^2*Gamma[n, a*x])/2 - Gamma[2 + n, a*x]/(2*a^2)","A",1,1,7,0.1429,1,"{6562}"
89,1,20,0,0.005629,"\int \Gamma (n,a x) \, dx","Int[Gamma[n, a*x],x]","x \Gamma (n,a x)-\frac{\Gamma (n+1,a x)}{a}","x \Gamma (n,a x)-\frac{\Gamma (n+1,a x)}{a}",1,"x*Gamma[n, a*x] - Gamma[1 + n, a*x]/a","A",1,1,5,0.2000,1,"{6557}"
90,1,31,0,0.0422694,"\int \frac{\Gamma (n,a x)}{x} \, dx","Int[Gamma[n, a*x]/x,x]","\Gamma (n) \log (x)-\frac{(a x)^n \, _2F_2(n,n;n+1,n+1;-a x)}{n^2}","\Gamma (n) \log (x)-\frac{(a x)^n \, _2F_2(n,n;n+1,n+1;-a x)}{n^2}",1,"-(((a*x)^n*HypergeometricPFQ[{n, n}, {1 + n, 1 + n}, -(a*x)])/n^2) + Gamma[n]*Log[x]","A",1,1,9,0.1111,1,"{6561}"
91,1,20,0,0.0105,"\int \frac{\Gamma (n,a x)}{x^2} \, dx","Int[Gamma[n, a*x]/x^2,x]","a \Gamma (n-1,a x)-\frac{\Gamma (n,a x)}{x}","a \Gamma (n-1,a x)-\frac{\Gamma (n,a x)}{x}",1,"a*Gamma[-1 + n, a*x] - Gamma[n, a*x]/x","A",1,1,9,0.1111,1,"{6562}"
92,1,27,0,0.0110604,"\int \frac{\Gamma (n,a x)}{x^3} \, dx","Int[Gamma[n, a*x]/x^3,x]","\frac{1}{2} a^2 \Gamma (n-2,a x)-\frac{\Gamma (n,a x)}{2 x^2}","\frac{1}{2} a^2 \Gamma (n-2,a x)-\frac{\Gamma (n,a x)}{2 x^2}",1,"(a^2*Gamma[-2 + n, a*x])/2 - Gamma[n, a*x]/(2*x^2)","A",1,1,9,0.1111,1,"{6562}"
93,1,27,0,0.0107917,"\int \frac{\Gamma (n,a x)}{x^4} \, dx","Int[Gamma[n, a*x]/x^4,x]","\frac{1}{3} a^3 \Gamma (n-3,a x)-\frac{\Gamma (n,a x)}{3 x^3}","\frac{1}{3} a^3 \Gamma (n-3,a x)-\frac{\Gamma (n,a x)}{3 x^3}",1,"(a^3*Gamma[-3 + n, a*x])/3 - Gamma[n, a*x]/(3*x^3)","A",1,1,9,0.1111,1,"{6562}"
94,1,24,0,0.0101652,"\int x^{100} \Gamma (n,2 x) \, dx","Int[x^100*Gamma[n, 2*x],x]","\frac{1}{101} x^{101} \Gamma (n,2 x)-\frac{\Gamma (n+101,2 x)}{256065421246102339102334047485952}","\frac{1}{101} x^{101} \Gamma (n,2 x)-\frac{\Gamma (n+101,2 x)}{256065421246102339102334047485952}",1,"(x^101*Gamma[n, 2*x])/101 - Gamma[101 + n, 2*x]/256065421246102339102334047485952","A",1,1,9,0.1111,1,"{6562}"
95,1,24,0,0.0112389,"\int x^2 \Gamma (n,2 x) \, dx","Int[x^2*Gamma[n, 2*x],x]","\frac{1}{3} x^3 \Gamma (n,2 x)-\frac{1}{24} \Gamma (n+3,2 x)","\frac{1}{3} x^3 \Gamma (n,2 x)-\frac{1}{24} \Gamma (n+3,2 x)",1,"(x^3*Gamma[n, 2*x])/3 - Gamma[3 + n, 2*x]/24","A",1,1,9,0.1111,1,"{6562}"
96,1,24,0,0.0093461,"\int x \Gamma (n,2 x) \, dx","Int[x*Gamma[n, 2*x],x]","\frac{1}{2} x^2 \Gamma (n,2 x)-\frac{1}{8} \Gamma (n+2,2 x)","\frac{1}{2} x^2 \Gamma (n,2 x)-\frac{1}{8} \Gamma (n+2,2 x)",1,"(x^2*Gamma[n, 2*x])/2 - Gamma[2 + n, 2*x]/8","A",1,1,7,0.1429,1,"{6562}"
97,1,19,0,0.0044032,"\int \Gamma (n,2 x) \, dx","Int[Gamma[n, 2*x],x]","x \Gamma (n,2 x)-\frac{1}{2} \Gamma (n+1,2 x)","x \Gamma (n,2 x)-\frac{1}{2} \Gamma (n+1,2 x)",1,"x*Gamma[n, 2*x] - Gamma[1 + n, 2*x]/2","A",1,1,5,0.2000,1,"{6557}"
98,1,31,0,0.030869,"\int \frac{\Gamma (n,2 x)}{x} \, dx","Int[Gamma[n, 2*x]/x,x]","\Gamma (n) \log (x)-\frac{2^n x^n \, _2F_2(n,n;n+1,n+1;-2 x)}{n^2}","\Gamma (n) \log (x)-\frac{2^n x^n \, _2F_2(n,n;n+1,n+1;-2 x)}{n^2}",1,"-((2^n*x^n*HypergeometricPFQ[{n, n}, {1 + n, 1 + n}, -2*x])/n^2) + Gamma[n]*Log[x]","A",1,1,9,0.1111,1,"{6561}"
99,1,20,0,0.0120275,"\int \frac{\Gamma (n,2 x)}{x^2} \, dx","Int[Gamma[n, 2*x]/x^2,x]","2 \Gamma (n-1,2 x)-\frac{\Gamma (n,2 x)}{x}","2 \Gamma (n-1,2 x)-\frac{\Gamma (n,2 x)}{x}",1,"2*Gamma[-1 + n, 2*x] - Gamma[n, 2*x]/x","A",1,1,9,0.1111,1,"{6562}"
100,1,22,0,0.0112987,"\int \frac{\Gamma (n,2 x)}{x^3} \, dx","Int[Gamma[n, 2*x]/x^3,x]","2 \Gamma (n-2,2 x)-\frac{\Gamma (n,2 x)}{2 x^2}","2 \Gamma (n-2,2 x)-\frac{\Gamma (n,2 x)}{2 x^2}",1,"2*Gamma[-2 + n, 2*x] - Gamma[n, 2*x]/(2*x^2)","A",1,1,9,0.1111,1,"{6562}"
101,1,24,0,0.0163365,"\int \frac{\Gamma (n,2 x)}{x^4} \, dx","Int[Gamma[n, 2*x]/x^4,x]","\frac{8}{3} \Gamma (n-3,2 x)-\frac{\Gamma (n,2 x)}{3 x^3}","\frac{8}{3} \Gamma (n-3,2 x)-\frac{\Gamma (n,2 x)}{3 x^3}",1,"(8*Gamma[-3 + n, 2*x])/3 - Gamma[n, 2*x]/(3*x^3)","A",1,1,9,0.1111,1,"{6562}"
102,1,194,0,0.3583466,"\int (c+d x)^3 \Gamma (0,a+b x) \, dx","Int[(c + d*x)^3*Gamma[0, a + b*x],x]","-\frac{d^3 e^{\frac{b c}{d}-a} \Gamma \left(4,\frac{b (c+d x)}{d}\right)}{4 b^4}-\frac{d^2 e^{\frac{b c}{d}-a} (b c-a d) \Gamma \left(3,\frac{b (c+d x)}{d}\right)}{4 b^4}-\frac{e^{-a-b x} (b c-a d)^3}{4 b^4}-\frac{(b c-a d)^4 \Gamma (0,a+b x)}{4 b^4 d}-\frac{d e^{\frac{b c}{d}-a} (b c-a d)^2 \Gamma \left(2,\frac{b (c+d x)}{d}\right)}{4 b^4}+\frac{(c+d x)^4 \Gamma (0,a+b x)}{4 d}","-\frac{d^3 e^{\frac{b c}{d}-a} \Gamma \left(4,\frac{b (c+d x)}{d}\right)}{4 b^4}-\frac{d^2 e^{\frac{b c}{d}-a} (b c-a d) \Gamma \left(3,\frac{b (c+d x)}{d}\right)}{4 b^4}-\frac{e^{-a-b x} (b c-a d)^3}{4 b^4}-\frac{(b c-a d)^4 \Gamma (0,a+b x)}{4 b^4 d}-\frac{d e^{\frac{b c}{d}-a} (b c-a d)^2 \Gamma \left(2,\frac{b (c+d x)}{d}\right)}{4 b^4}+\frac{(c+d x)^4 \Gamma (0,a+b x)}{4 d}",1,"-((b*c - a*d)^3*E^(-a - b*x))/(4*b^4) - ((b*c - a*d)^4*Gamma[0, a + b*x])/(4*b^4*d) + ((c + d*x)^4*Gamma[0, a + b*x])/(4*d) - (d*(b*c - a*d)^2*E^(-a + (b*c)/d)*Gamma[2, (b*(c + d*x))/d])/(4*b^4) - (d^2*(b*c - a*d)*E^(-a + (b*c)/d)*Gamma[3, (b*(c + d*x))/d])/(4*b^4) - (d^3*E^(-a + (b*c)/d)*Gamma[4, (b*(c + d*x))/d])/(4*b^4)","A",8,4,15,0.2667,1,"{6565, 2198, 2194, 2179}"
103,1,150,0,0.2654314,"\int (c+d x)^2 \Gamma (0,a+b x) \, dx","Int[(c + d*x)^2*Gamma[0, a + b*x],x]","-\frac{d^2 e^{\frac{b c}{d}-a} \Gamma \left(3,\frac{b (c+d x)}{d}\right)}{3 b^3}-\frac{e^{-a-b x} (b c-a d)^2}{3 b^3}-\frac{(b c-a d)^3 \Gamma (0,a+b x)}{3 b^3 d}-\frac{d e^{\frac{b c}{d}-a} (b c-a d) \Gamma \left(2,\frac{b (c+d x)}{d}\right)}{3 b^3}+\frac{(c+d x)^3 \Gamma (0,a+b x)}{3 d}","-\frac{d^2 e^{\frac{b c}{d}-a} \Gamma \left(3,\frac{b (c+d x)}{d}\right)}{3 b^3}-\frac{e^{-a-b x} (b c-a d)^2}{3 b^3}-\frac{(b c-a d)^3 \Gamma (0,a+b x)}{3 b^3 d}-\frac{d e^{\frac{b c}{d}-a} (b c-a d) \Gamma \left(2,\frac{b (c+d x)}{d}\right)}{3 b^3}+\frac{(c+d x)^3 \Gamma (0,a+b x)}{3 d}",1,"-((b*c - a*d)^2*E^(-a - b*x))/(3*b^3) - ((b*c - a*d)^3*Gamma[0, a + b*x])/(3*b^3*d) + ((c + d*x)^3*Gamma[0, a + b*x])/(3*d) - (d*(b*c - a*d)*E^(-a + (b*c)/d)*Gamma[2, (b*(c + d*x))/d])/(3*b^3) - (d^2*E^(-a + (b*c)/d)*Gamma[3, (b*(c + d*x))/d])/(3*b^3)","A",7,4,15,0.2667,1,"{6565, 2198, 2194, 2179}"
104,1,106,0,0.1982612,"\int (c+d x) \Gamma (0,a+b x) \, dx","Int[(c + d*x)*Gamma[0, a + b*x],x]","-\frac{e^{-a-b x} (b c-a d)}{2 b^2}-\frac{(b c-a d)^2 \Gamma (0,a+b x)}{2 b^2 d}-\frac{d e^{\frac{b c}{d}-a} \Gamma \left(2,\frac{b (c+d x)}{d}\right)}{2 b^2}+\frac{(c+d x)^2 \Gamma (0,a+b x)}{2 d}","-\frac{e^{-a-b x} (b c-a d)}{2 b^2}-\frac{(b c-a d)^2 \Gamma (0,a+b x)}{2 b^2 d}-\frac{d e^{\frac{b c}{d}-a} \Gamma \left(2,\frac{b (c+d x)}{d}\right)}{2 b^2}+\frac{(c+d x)^2 \Gamma (0,a+b x)}{2 d}",1,"-((b*c - a*d)*E^(-a - b*x))/(2*b^2) - ((b*c - a*d)^2*Gamma[0, a + b*x])/(2*b^2*d) + ((c + d*x)^2*Gamma[0, a + b*x])/(2*d) - (d*E^(-a + (b*c)/d)*Gamma[2, (b*(c + d*x))/d])/(2*b^2)","A",6,4,13,0.3077,1,"{6565, 2198, 2194, 2179}"
105,1,32,0,0.0077018,"\int \Gamma (0,a+b x) \, dx","Int[Gamma[0, a + b*x],x]","\frac{(a+b x) \Gamma (0,a+b x)}{b}-\frac{e^{-a-b x}}{b}","\frac{(a+b x) \Gamma (0,a+b x)}{b}-\frac{e^{-a-b x}}{b}",1,"-(E^(-a - b*x)/b) + ((a + b*x)*Gamma[0, a + b*x])/b","A",1,1,7,0.1429,1,"{6557}"
106,0,0,0,0.0245707,"\int \frac{\Gamma (0,a+b x)}{c+d x} \, dx","Int[Gamma[0, a + b*x]/(c + d*x),x]","\int \frac{\Gamma (0,a+b x)}{c+d x} \, dx","\text{Int}\left(\frac{\Gamma (0,a+b x)}{c+d x},x\right)",0,"Defer[Int][Gamma[0, a + b*x]/(c + d*x), x]","N/A",0,0,0,0,-1,"{}"
107,1,82,0,0.3862428,"\int \frac{\Gamma (0,a+b x)}{(c+d x)^2} \, dx","Int[Gamma[0, a + b*x]/(c + d*x)^2,x]","\frac{b \Gamma (0,a+b x)}{d (b c-a d)}-\frac{\Gamma (0,a+b x)}{d (c+d x)}-\frac{b e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{d (b c-a d)}","\frac{b \Gamma (0,a+b x)}{d (b c-a d)}-\frac{\Gamma (0,a+b x)}{d (c+d x)}-\frac{b e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{d (b c-a d)}",1,"(b*Gamma[0, a + b*x])/(d*(b*c - a*d)) - Gamma[0, a + b*x]/(d*(c + d*x)) - (b*E^(-a + (b*c)/d)*Gamma[0, (b*(c + d*x))/d])/(d*(b*c - a*d))","A",5,3,15,0.2000,1,"{6565, 6742, 2179}"
108,1,137,0,0.4457989,"\int \frac{\Gamma (0,a+b x)}{(c+d x)^3} \, dx","Int[Gamma[0, a + b*x]/(c + d*x)^3,x]","-\frac{b^2 e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{2 d^2 (b c-a d)}+\frac{b^2 \Gamma (0,a+b x)}{2 d (b c-a d)^2}-\frac{b^2 e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{2 d (b c-a d)^2}-\frac{\Gamma (0,a+b x)}{2 d (c+d x)^2}","-\frac{b^2 e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{2 d^2 (b c-a d)}+\frac{b^2 \Gamma (0,a+b x)}{2 d (b c-a d)^2}-\frac{b^2 e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{2 d (b c-a d)^2}-\frac{\Gamma (0,a+b x)}{2 d (c+d x)^2}",1,"-(b^2*E^(-a + (b*c)/d)*Gamma[-1, (b*(c + d*x))/d])/(2*d^2*(b*c - a*d)) + (b^2*Gamma[0, a + b*x])/(2*d*(b*c - a*d)^2) - Gamma[0, a + b*x]/(2*d*(c + d*x)^2) - (b^2*E^(-a + (b*c)/d)*Gamma[0, (b*(c + d*x))/d])/(2*d*(b*c - a*d)^2)","A",6,3,15,0.2000,1,"{6565, 6742, 2179}"
109,1,181,0,0.5644153,"\int \frac{\Gamma (0,a+b x)}{(c+d x)^4} \, dx","Int[Gamma[0, a + b*x]/(c + d*x)^4,x]","-\frac{b^3 e^{\frac{b c}{d}-a} \Gamma \left(-2,\frac{b (c+d x)}{d}\right)}{3 d^3 (b c-a d)}-\frac{b^3 e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{3 d^2 (b c-a d)^2}+\frac{b^3 \Gamma (0,a+b x)}{3 d (b c-a d)^3}-\frac{b^3 e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{3 d (b c-a d)^3}-\frac{\Gamma (0,a+b x)}{3 d (c+d x)^3}","-\frac{b^3 e^{\frac{b c}{d}-a} \Gamma \left(-2,\frac{b (c+d x)}{d}\right)}{3 d^3 (b c-a d)}-\frac{b^3 e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{3 d^2 (b c-a d)^2}+\frac{b^3 \Gamma (0,a+b x)}{3 d (b c-a d)^3}-\frac{b^3 e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{3 d (b c-a d)^3}-\frac{\Gamma (0,a+b x)}{3 d (c+d x)^3}",1,"-(b^3*E^(-a + (b*c)/d)*Gamma[-2, (b*(c + d*x))/d])/(3*d^3*(b*c - a*d)) - (b^3*E^(-a + (b*c)/d)*Gamma[-1, (b*(c + d*x))/d])/(3*d^2*(b*c - a*d)^2) + (b^3*Gamma[0, a + b*x])/(3*d*(b*c - a*d)^3) - Gamma[0, a + b*x]/(3*d*(c + d*x)^3) - (b^3*E^(-a + (b*c)/d)*Gamma[0, (b*(c + d*x))/d])/(3*d*(b*c - a*d)^3)","A",7,3,15,0.2000,1,"{6565, 6742, 2179}"
110,1,112,0,0.1265147,"\int e^{-a-b x} (c+d x)^4 \, dx","Int[E^(-a - b*x)*(c + d*x)^4,x]","-\frac{24 d^4 e^{-a-b x}}{b^5}-\frac{24 d^3 e^{-a-b x} (c+d x)}{b^4}-\frac{12 d^2 e^{-a-b x} (c+d x)^2}{b^3}-\frac{4 d e^{-a-b x} (c+d x)^3}{b^2}-\frac{e^{-a-b x} (c+d x)^4}{b}","-\frac{24 d^4 e^{-a-b x}}{b^5}-\frac{24 d^3 e^{-a-b x} (c+d x)}{b^4}-\frac{12 d^2 e^{-a-b x} (c+d x)^2}{b^3}-\frac{4 d e^{-a-b x} (c+d x)^3}{b^2}-\frac{e^{-a-b x} (c+d x)^4}{b}",1,"(-24*d^4*E^(-a - b*x))/b^5 - (24*d^3*E^(-a - b*x)*(c + d*x))/b^4 - (12*d^2*E^(-a - b*x)*(c + d*x)^2)/b^3 - (4*d*E^(-a - b*x)*(c + d*x)^3)/b^2 - (E^(-a - b*x)*(c + d*x)^4)/b","A",5,2,18,0.1111,1,"{2176, 2194}"
111,1,87,0,0.0903297,"\int e^{-a-b x} (c+d x)^3 \, dx","Int[E^(-a - b*x)*(c + d*x)^3,x]","-\frac{6 d^3 e^{-a-b x}}{b^4}-\frac{6 d^2 e^{-a-b x} (c+d x)}{b^3}-\frac{3 d e^{-a-b x} (c+d x)^2}{b^2}-\frac{e^{-a-b x} (c+d x)^3}{b}","-\frac{6 d^3 e^{-a-b x}}{b^4}-\frac{6 d^2 e^{-a-b x} (c+d x)}{b^3}-\frac{3 d e^{-a-b x} (c+d x)^2}{b^2}-\frac{e^{-a-b x} (c+d x)^3}{b}",1,"(-6*d^3*E^(-a - b*x))/b^4 - (6*d^2*E^(-a - b*x)*(c + d*x))/b^3 - (3*d*E^(-a - b*x)*(c + d*x)^2)/b^2 - (E^(-a - b*x)*(c + d*x)^3)/b","A",4,2,18,0.1111,1,"{2176, 2194}"
112,1,62,0,0.0585747,"\int e^{-a-b x} (c+d x)^2 \, dx","Int[E^(-a - b*x)*(c + d*x)^2,x]","-\frac{2 d^2 e^{-a-b x}}{b^3}-\frac{2 d e^{-a-b x} (c+d x)}{b^2}-\frac{e^{-a-b x} (c+d x)^2}{b}","-\frac{2 d^2 e^{-a-b x}}{b^3}-\frac{2 d e^{-a-b x} (c+d x)}{b^2}-\frac{e^{-a-b x} (c+d x)^2}{b}",1,"(-2*d^2*E^(-a - b*x))/b^3 - (2*d*E^(-a - b*x)*(c + d*x))/b^2 - (E^(-a - b*x)*(c + d*x)^2)/b","A",3,2,18,0.1111,1,"{2176, 2194}"
113,1,37,0,0.0189524,"\int e^{-a-b x} (c+d x) \, dx","Int[E^(-a - b*x)*(c + d*x),x]","-\frac{d e^{-a-b x}}{b^2}-\frac{e^{-a-b x} (c+d x)}{b}","-\frac{d e^{-a-b x}}{b^2}-\frac{e^{-a-b x} (c+d x)}{b}",1,"-((d*E^(-a - b*x))/b^2) - (E^(-a - b*x)*(c + d*x))/b","A",2,2,16,0.1250,1,"{2176, 2194}"
114,1,15,0,0.0034835,"\int e^{-a-b x} \, dx","Int[E^(-a - b*x),x]","-\frac{e^{-a-b x}}{b}","-\frac{e^{-a-b x}}{b}",1,"-(E^(-a - b*x)/b)","A",1,1,10,0.1000,1,"{2194}"
115,1,28,0,0.029973,"\int \frac{e^{-a-b x}}{c+d x} \, dx","Int[E^(-a - b*x)/(c + d*x),x]","\frac{e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d}","\frac{e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d}",1,"(E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/d","A",1,1,18,0.05556,1,"{2178}"
116,1,53,0,0.0593526,"\int \frac{e^{-a-b x}}{(c+d x)^2} \, dx","Int[E^(-a - b*x)/(c + d*x)^2,x]","-\frac{b e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^2}-\frac{e^{-a-b x}}{d (c+d x)}","-\frac{b e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^2}-\frac{e^{-a-b x}}{d (c+d x)}",1,"-(E^(-a - b*x)/(d*(c + d*x))) - (b*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/d^2","A",2,2,18,0.1111,1,"{2177, 2178}"
117,1,84,0,0.0958134,"\int \frac{e^{-a-b x}}{(c+d x)^3} \, dx","Int[E^(-a - b*x)/(c + d*x)^3,x]","\frac{b^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{2 d^3}+\frac{b e^{-a-b x}}{2 d^2 (c+d x)}-\frac{e^{-a-b x}}{2 d (c+d x)^2}","\frac{b^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{2 d^3}+\frac{b e^{-a-b x}}{2 d^2 (c+d x)}-\frac{e^{-a-b x}}{2 d (c+d x)^2}",1,"-E^(-a - b*x)/(2*d*(c + d*x)^2) + (b*E^(-a - b*x))/(2*d^2*(c + d*x)) + (b^2*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(2*d^3)","A",3,2,18,0.1111,1,"{2177, 2178}"
118,1,111,0,0.1429287,"\int \frac{e^{-a-b x}}{(c+d x)^4} \, dx","Int[E^(-a - b*x)/(c + d*x)^4,x]","-\frac{b^3 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{6 d^4}-\frac{b^2 e^{-a-b x}}{6 d^3 (c+d x)}+\frac{b e^{-a-b x}}{6 d^2 (c+d x)^2}-\frac{e^{-a-b x}}{3 d (c+d x)^3}","-\frac{b^3 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{6 d^4}-\frac{b^2 e^{-a-b x}}{6 d^3 (c+d x)}+\frac{b e^{-a-b x}}{6 d^2 (c+d x)^2}-\frac{e^{-a-b x}}{3 d (c+d x)^3}",1,"-E^(-a - b*x)/(3*d*(c + d*x)^3) + (b*E^(-a - b*x))/(6*d^2*(c + d*x)^2) - (b^2*E^(-a - b*x))/(6*d^3*(c + d*x)) - (b^3*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(6*d^4)","A",4,2,18,0.1111,1,"{2177, 2178}"
119,1,98,0,0.1791396,"\int (c+d x)^3 \Gamma (2,a+b x) \, dx","Int[(c + d*x)^3*Gamma[2, a + b*x],x]","-\frac{d^3 e^{\frac{b c}{d}-a} \Gamma \left(6,\frac{b (c+d x)}{d}\right)}{4 b^4}+\frac{d^2 (b c-a d) e^{\frac{b c}{d}-a} \Gamma \left(5,\frac{b (c+d x)}{d}\right)}{4 b^4}+\frac{(c+d x)^4 \Gamma (2,a+b x)}{4 d}","-\frac{d^3 e^{\frac{b c}{d}-a} \Gamma \left(6,\frac{b (c+d x)}{d}\right)}{4 b^4}+\frac{d^2 (b c-a d) e^{\frac{b c}{d}-a} \Gamma \left(5,\frac{b (c+d x)}{d}\right)}{4 b^4}+\frac{(c+d x)^4 \Gamma (2,a+b x)}{4 d}",1,"((c + d*x)^4*Gamma[2, a + b*x])/(4*d) + (d^2*(b*c - a*d)*E^(-a + (b*c)/d)*Gamma[5, (b*(c + d*x))/d])/(4*b^4) - (d^3*E^(-a + (b*c)/d)*Gamma[6, (b*(c + d*x))/d])/(4*b^4)","A",5,3,15,0.2000,1,"{6565, 2195, 2179}"
120,1,96,0,0.1725419,"\int (c+d x)^2 \Gamma (2,a+b x) \, dx","Int[(c + d*x)^2*Gamma[2, a + b*x],x]","-\frac{d^2 e^{\frac{b c}{d}-a} \Gamma \left(5,\frac{b (c+d x)}{d}\right)}{3 b^3}+\frac{d (b c-a d) e^{\frac{b c}{d}-a} \Gamma \left(4,\frac{b (c+d x)}{d}\right)}{3 b^3}+\frac{(c+d x)^3 \Gamma (2,a+b x)}{3 d}","-\frac{d^2 e^{\frac{b c}{d}-a} \Gamma \left(5,\frac{b (c+d x)}{d}\right)}{3 b^3}+\frac{d (b c-a d) e^{\frac{b c}{d}-a} \Gamma \left(4,\frac{b (c+d x)}{d}\right)}{3 b^3}+\frac{(c+d x)^3 \Gamma (2,a+b x)}{3 d}",1,"((c + d*x)^3*Gamma[2, a + b*x])/(3*d) + (d*(b*c - a*d)*E^(-a + (b*c)/d)*Gamma[4, (b*(c + d*x))/d])/(3*b^3) - (d^2*E^(-a + (b*c)/d)*Gamma[5, (b*(c + d*x))/d])/(3*b^3)","A",5,3,15,0.2000,1,"{6565, 2195, 2179}"
121,1,93,0,0.1897059,"\int (c+d x) \Gamma (2,a+b x) \, dx","Int[(c + d*x)*Gamma[2, a + b*x],x]","\frac{(b c-a d) e^{\frac{b c}{d}-a} \Gamma \left(3,\frac{b (c+d x)}{d}\right)}{2 b^2}-\frac{d e^{\frac{b c}{d}-a} \Gamma \left(4,\frac{b (c+d x)}{d}\right)}{2 b^2}+\frac{(c+d x)^2 \Gamma (2,a+b x)}{2 d}","\frac{(b c-a d) e^{\frac{b c}{d}-a} \Gamma \left(3,\frac{b (c+d x)}{d}\right)}{2 b^2}-\frac{d e^{\frac{b c}{d}-a} \Gamma \left(4,\frac{b (c+d x)}{d}\right)}{2 b^2}+\frac{(c+d x)^2 \Gamma (2,a+b x)}{2 d}",1,"((c + d*x)^2*Gamma[2, a + b*x])/(2*d) + ((b*c - a*d)*E^(-a + (b*c)/d)*Gamma[3, (b*(c + d*x))/d])/(2*b^2) - (d*E^(-a + (b*c)/d)*Gamma[4, (b*(c + d*x))/d])/(2*b^2)","A",5,3,13,0.2308,1,"{6565, 2195, 2179}"
122,1,29,0,0.0096828,"\int \Gamma (2,a+b x) \, dx","Int[Gamma[2, a + b*x],x]","\frac{(a+b x) \Gamma (2,a+b x)}{b}-\frac{\Gamma (3,a+b x)}{b}","\frac{(a+b x) \Gamma (2,a+b x)}{b}-\frac{\Gamma (3,a+b x)}{b}",1,"((a + b*x)*Gamma[2, a + b*x])/b - Gamma[3, a + b*x]/b","A",1,1,7,0.1429,1,"{6557}"
123,1,81,0,0.1826677,"\int \frac{\Gamma (2,a+b x)}{c+d x} \, dx","Int[Gamma[2, a + b*x]/(c + d*x),x]","-\frac{(b c-a d) e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^2}+\frac{e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d}-\frac{e^{-a-b x}}{d}","-\frac{(b c-a d) e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^2}+\frac{e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d}-\frac{e^{-a-b x}}{d}",1,"-(E^(-a - b*x)/d) + (E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/d - ((b*c - a*d)*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/d^2","A",6,4,15,0.2667,1,"{6564, 2199, 2194, 2178}"
124,1,73,0,0.1539641,"\int \frac{\Gamma (2,a+b x)}{(c+d x)^2} \, dx","Int[Gamma[2, a + b*x]/(c + d*x)^2,x]","-\frac{b (b c-a d) e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{d^3}-\frac{\Gamma (2,a+b x)}{d (c+d x)}+\frac{b e^{-a-b x}}{d^2}","-\frac{b (b c-a d) e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{d^3}-\frac{\Gamma (2,a+b x)}{d (c+d x)}+\frac{b e^{-a-b x}}{d^2}",1,"(b*E^(-a - b*x))/d^2 - (b*(b*c - a*d)*E^(-a + (b*c)/d)*Gamma[0, (b*(c + d*x))/d])/d^3 - Gamma[2, a + b*x]/(d*(c + d*x))","A",5,4,15,0.2667,1,"{6565, 2198, 2194, 2179}"
125,1,98,0,0.1873885,"\int \frac{\Gamma (2,a+b x)}{(c+d x)^3} \, dx","Int[Gamma[2, a + b*x]/(c + d*x)^3,x]","-\frac{b^2 (b c-a d) e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{2 d^4}+\frac{b^2 e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{2 d^3}-\frac{\Gamma (2,a+b x)}{2 d (c+d x)^2}","-\frac{b^2 (b c-a d) e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{2 d^4}+\frac{b^2 e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{2 d^3}-\frac{\Gamma (2,a+b x)}{2 d (c+d x)^2}",1,"-(b^2*(b*c - a*d)*E^(-a + (b*c)/d)*Gamma[-1, (b*(c + d*x))/d])/(2*d^4) + (b^2*E^(-a + (b*c)/d)*Gamma[0, (b*(c + d*x))/d])/(2*d^3) - Gamma[2, a + b*x]/(2*d*(c + d*x)^2)","A",5,3,15,0.2000,1,"{6565, 2198, 2179}"
126,1,98,0,0.1941,"\int \frac{\Gamma (2,a+b x)}{(c+d x)^4} \, dx","Int[Gamma[2, a + b*x]/(c + d*x)^4,x]","-\frac{b^3 (b c-a d) e^{\frac{b c}{d}-a} \Gamma \left(-2,\frac{b (c+d x)}{d}\right)}{3 d^5}+\frac{b^3 e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{3 d^4}-\frac{\Gamma (2,a+b x)}{3 d (c+d x)^3}","-\frac{b^3 (b c-a d) e^{\frac{b c}{d}-a} \Gamma \left(-2,\frac{b (c+d x)}{d}\right)}{3 d^5}+\frac{b^3 e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{3 d^4}-\frac{\Gamma (2,a+b x)}{3 d (c+d x)^3}",1,"-(b^3*(b*c - a*d)*E^(-a + (b*c)/d)*Gamma[-2, (b*(c + d*x))/d])/(3*d^5) + (b^3*E^(-a + (b*c)/d)*Gamma[-1, (b*(c + d*x))/d])/(3*d^4) - Gamma[2, a + b*x]/(3*d*(c + d*x)^3)","A",5,3,15,0.2000,1,"{6565, 2198, 2179}"
127,1,98,0,0.1979833,"\int \frac{\Gamma (2,a+b x)}{(c+d x)^5} \, dx","Int[Gamma[2, a + b*x]/(c + d*x)^5,x]","-\frac{b^4 (b c-a d) e^{\frac{b c}{d}-a} \Gamma \left(-3,\frac{b (c+d x)}{d}\right)}{4 d^6}+\frac{b^4 e^{\frac{b c}{d}-a} \Gamma \left(-2,\frac{b (c+d x)}{d}\right)}{4 d^5}-\frac{\Gamma (2,a+b x)}{4 d (c+d x)^4}","-\frac{b^4 (b c-a d) e^{\frac{b c}{d}-a} \Gamma \left(-3,\frac{b (c+d x)}{d}\right)}{4 d^6}+\frac{b^4 e^{\frac{b c}{d}-a} \Gamma \left(-2,\frac{b (c+d x)}{d}\right)}{4 d^5}-\frac{\Gamma (2,a+b x)}{4 d (c+d x)^4}",1,"-(b^4*(b*c - a*d)*E^(-a + (b*c)/d)*Gamma[-3, (b*(c + d*x))/d])/(4*d^6) + (b^4*E^(-a + (b*c)/d)*Gamma[-2, (b*(c + d*x))/d])/(4*d^5) - Gamma[2, a + b*x]/(4*d*(c + d*x)^4)","A",5,3,15,0.2000,1,"{6565, 2198, 2179}"
128,1,140,0,0.3713214,"\int (c+d x)^3 \Gamma (3,a+b x) \, dx","Int[(c + d*x)^3*Gamma[3, a + b*x],x]","-\frac{d^3 e^{\frac{b c}{d}-a} \Gamma \left(7,\frac{b (c+d x)}{d}\right)}{4 b^4}+\frac{d^2 (b c-a d) e^{\frac{b c}{d}-a} \Gamma \left(6,\frac{b (c+d x)}{d}\right)}{2 b^4}-\frac{d (b c-a d)^2 e^{\frac{b c}{d}-a} \Gamma \left(5,\frac{b (c+d x)}{d}\right)}{4 b^4}+\frac{(c+d x)^4 \Gamma (3,a+b x)}{4 d}","-\frac{d^3 e^{\frac{b c}{d}-a} \Gamma \left(7,\frac{b (c+d x)}{d}\right)}{4 b^4}+\frac{d^2 (b c-a d) e^{\frac{b c}{d}-a} \Gamma \left(6,\frac{b (c+d x)}{d}\right)}{2 b^4}-\frac{d (b c-a d)^2 e^{\frac{b c}{d}-a} \Gamma \left(5,\frac{b (c+d x)}{d}\right)}{4 b^4}+\frac{(c+d x)^4 \Gamma (3,a+b x)}{4 d}",1,"((c + d*x)^4*Gamma[3, a + b*x])/(4*d) - (d*(b*c - a*d)^2*E^(-a + (b*c)/d)*Gamma[5, (b*(c + d*x))/d])/(4*b^4) + (d^2*(b*c - a*d)*E^(-a + (b*c)/d)*Gamma[6, (b*(c + d*x))/d])/(2*b^4) - (d^3*E^(-a + (b*c)/d)*Gamma[7, (b*(c + d*x))/d])/(4*b^4)","A",6,3,15,0.2000,1,"{6565, 2195, 2179}"
129,1,137,0,0.3419242,"\int (c+d x)^2 \Gamma (3,a+b x) \, dx","Int[(c + d*x)^2*Gamma[3, a + b*x],x]","-\frac{d^2 e^{\frac{b c}{d}-a} \Gamma \left(6,\frac{b (c+d x)}{d}\right)}{3 b^3}-\frac{(b c-a d)^2 e^{\frac{b c}{d}-a} \Gamma \left(4,\frac{b (c+d x)}{d}\right)}{3 b^3}+\frac{2 d (b c-a d) e^{\frac{b c}{d}-a} \Gamma \left(5,\frac{b (c+d x)}{d}\right)}{3 b^3}+\frac{(c+d x)^3 \Gamma (3,a+b x)}{3 d}","-\frac{d^2 e^{\frac{b c}{d}-a} \Gamma \left(6,\frac{b (c+d x)}{d}\right)}{3 b^3}-\frac{(b c-a d)^2 e^{\frac{b c}{d}-a} \Gamma \left(4,\frac{b (c+d x)}{d}\right)}{3 b^3}+\frac{2 d (b c-a d) e^{\frac{b c}{d}-a} \Gamma \left(5,\frac{b (c+d x)}{d}\right)}{3 b^3}+\frac{(c+d x)^3 \Gamma (3,a+b x)}{3 d}",1,"((c + d*x)^3*Gamma[3, a + b*x])/(3*d) - ((b*c - a*d)^2*E^(-a + (b*c)/d)*Gamma[4, (b*(c + d*x))/d])/(3*b^3) + (2*d*(b*c - a*d)*E^(-a + (b*c)/d)*Gamma[5, (b*(c + d*x))/d])/(3*b^3) - (d^2*E^(-a + (b*c)/d)*Gamma[6, (b*(c + d*x))/d])/(3*b^3)","A",6,3,15,0.2000,1,"{6565, 2195, 2179}"
130,1,84,0,0.2700718,"\int (c+d x) \Gamma (3,a+b x) \, dx","Int[(c + d*x)*Gamma[3, a + b*x],x]","-\frac{(b c-a d)^2 \Gamma (3,a+b x)}{2 b^2 d}-\frac{(b c-a d) \Gamma (4,a+b x)}{b^2}-\frac{d \Gamma (5,a+b x)}{2 b^2}+\frac{(c+d x)^2 \Gamma (3,a+b x)}{2 d}","-\frac{(b c-a d)^2 \Gamma (3,a+b x)}{2 b^2 d}-\frac{(b c-a d) \Gamma (4,a+b x)}{b^2}-\frac{d \Gamma (5,a+b x)}{2 b^2}+\frac{(c+d x)^2 \Gamma (3,a+b x)}{2 d}",1,"-((b*c - a*d)^2*Gamma[3, a + b*x])/(2*b^2*d) + ((c + d*x)^2*Gamma[3, a + b*x])/(2*d) - ((b*c - a*d)*Gamma[4, a + b*x])/b^2 - (d*Gamma[5, a + b*x])/(2*b^2)","A",6,3,13,0.2308,1,"{6565, 2195, 2179}"
131,1,29,0,0.0066003,"\int \Gamma (3,a+b x) \, dx","Int[Gamma[3, a + b*x],x]","\frac{(a+b x) \Gamma (3,a+b x)}{b}-\frac{\Gamma (4,a+b x)}{b}","\frac{(a+b x) \Gamma (3,a+b x)}{b}-\frac{\Gamma (4,a+b x)}{b}",1,"((a + b*x)*Gamma[3, a + b*x])/b - Gamma[4, a + b*x]/b","A",1,1,7,0.1429,1,"{6557}"
132,1,162,0,0.4243497,"\int \frac{\Gamma (3,a+b x)}{c+d x} \, dx","Int[Gamma[3, a + b*x]/(c + d*x),x]","\frac{e^{\frac{b c}{d}-a} (b c-a d)^2 \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^3}-\frac{2 e^{\frac{b c}{d}-a} (b c-a d) \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^2}+\frac{e^{-a-b x} (b c-a d)}{d^2}+\frac{2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d}-\frac{3 e^{-a-b x}}{d}-\frac{e^{-a-b x} (a+b x)}{d}","\frac{e^{\frac{b c}{d}-a} (b c-a d)^2 \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^3}-\frac{2 e^{\frac{b c}{d}-a} (b c-a d) \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d^2}+\frac{e^{-a-b x} (b c-a d)}{d^2}+\frac{2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d}-\frac{3 e^{-a-b x}}{d}-\frac{e^{-a-b x} (a+b x)}{d}",1,"(-3*E^(-a - b*x))/d + ((b*c - a*d)*E^(-a - b*x))/d^2 - (E^(-a - b*x)*(a + b*x))/d + (2*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/d - (2*(b*c - a*d)*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/d^2 + ((b*c - a*d)^2*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/d^3","A",13,5,15,0.3333,1,"{6564, 2199, 2194, 2176, 2178}"
133,1,95,0,0.2134945,"\int \frac{\Gamma (3,a+b x)}{(c+d x)^2} \, dx","Int[Gamma[3, a + b*x]/(c + d*x)^2,x]","\frac{b e^{\frac{b c}{d}-a} (b c-a d)^2 \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{d^4}-\frac{b e^{-a-b x} (b c-a d)}{d^3}-\frac{\Gamma (3,a+b x)}{d (c+d x)}+\frac{b \Gamma (2,a+b x)}{d^2}","\frac{b e^{\frac{b c}{d}-a} (b c-a d)^2 \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{d^4}-\frac{b e^{-a-b x} (b c-a d)}{d^3}-\frac{\Gamma (3,a+b x)}{d (c+d x)}+\frac{b \Gamma (2,a+b x)}{d^2}",1,"-((b*(b*c - a*d)*E^(-a - b*x))/d^3) + (b*(b*c - a*d)^2*E^(-a + (b*c)/d)*Gamma[0, (b*(c + d*x))/d])/d^4 + (b*Gamma[2, a + b*x])/d^2 - Gamma[3, a + b*x]/(d*(c + d*x))","A",6,4,15,0.2667,1,"{6565, 2198, 2194, 2179}"
134,1,126,0,0.2756551,"\int \frac{\Gamma (3,a+b x)}{(c+d x)^3} \, dx","Int[Gamma[3, a + b*x]/(c + d*x)^3,x]","\frac{b^2 (b c-a d)^2 e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{2 d^5}-\frac{b^2 (b c-a d) e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{d^4}+\frac{b^2 e^{-a-b x}}{2 d^3}-\frac{\Gamma (3,a+b x)}{2 d (c+d x)^2}","\frac{b^2 (b c-a d)^2 e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{2 d^5}-\frac{b^2 (b c-a d) e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{d^4}+\frac{b^2 e^{-a-b x}}{2 d^3}-\frac{\Gamma (3,a+b x)}{2 d (c+d x)^2}",1,"(b^2*E^(-a - b*x))/(2*d^3) + (b^2*(b*c - a*d)^2*E^(-a + (b*c)/d)*Gamma[-1, (b*(c + d*x))/d])/(2*d^5) - (b^2*(b*c - a*d)*E^(-a + (b*c)/d)*Gamma[0, (b*(c + d*x))/d])/d^4 - Gamma[3, a + b*x]/(2*d*(c + d*x)^2)","A",6,4,15,0.2667,1,"{6565, 2198, 2194, 2179}"
135,1,142,0,0.306773,"\int \frac{\Gamma (3,a+b x)}{(c+d x)^4} \, dx","Int[Gamma[3, a + b*x]/(c + d*x)^4,x]","\frac{b^3 (b c-a d)^2 e^{\frac{b c}{d}-a} \Gamma \left(-2,\frac{b (c+d x)}{d}\right)}{3 d^6}-\frac{2 b^3 (b c-a d) e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{3 d^5}+\frac{b^3 e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{3 d^4}-\frac{\Gamma (3,a+b x)}{3 d (c+d x)^3}","\frac{b^3 (b c-a d)^2 e^{\frac{b c}{d}-a} \Gamma \left(-2,\frac{b (c+d x)}{d}\right)}{3 d^6}-\frac{2 b^3 (b c-a d) e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{3 d^5}+\frac{b^3 e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{3 d^4}-\frac{\Gamma (3,a+b x)}{3 d (c+d x)^3}",1,"(b^3*(b*c - a*d)^2*E^(-a + (b*c)/d)*Gamma[-2, (b*(c + d*x))/d])/(3*d^6) - (2*b^3*(b*c - a*d)*E^(-a + (b*c)/d)*Gamma[-1, (b*(c + d*x))/d])/(3*d^5) + (b^3*E^(-a + (b*c)/d)*Gamma[0, (b*(c + d*x))/d])/(3*d^4) - Gamma[3, a + b*x]/(3*d*(c + d*x)^3)","A",6,3,15,0.2000,1,"{6565, 2198, 2179}"
136,1,142,0,0.275373,"\int \frac{\Gamma (3,a+b x)}{(c+d x)^5} \, dx","Int[Gamma[3, a + b*x]/(c + d*x)^5,x]","\frac{b^4 (b c-a d)^2 e^{\frac{b c}{d}-a} \Gamma \left(-3,\frac{b (c+d x)}{d}\right)}{4 d^7}-\frac{b^4 (b c-a d) e^{\frac{b c}{d}-a} \Gamma \left(-2,\frac{b (c+d x)}{d}\right)}{2 d^6}+\frac{b^4 e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{4 d^5}-\frac{\Gamma (3,a+b x)}{4 d (c+d x)^4}","\frac{b^4 (b c-a d)^2 e^{\frac{b c}{d}-a} \Gamma \left(-3,\frac{b (c+d x)}{d}\right)}{4 d^7}-\frac{b^4 (b c-a d) e^{\frac{b c}{d}-a} \Gamma \left(-2,\frac{b (c+d x)}{d}\right)}{2 d^6}+\frac{b^4 e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{4 d^5}-\frac{\Gamma (3,a+b x)}{4 d (c+d x)^4}",1,"(b^4*(b*c - a*d)^2*E^(-a + (b*c)/d)*Gamma[-3, (b*(c + d*x))/d])/(4*d^7) - (b^4*(b*c - a*d)*E^(-a + (b*c)/d)*Gamma[-2, (b*(c + d*x))/d])/(2*d^6) + (b^4*E^(-a + (b*c)/d)*Gamma[-1, (b*(c + d*x))/d])/(4*d^5) - Gamma[3, a + b*x]/(4*d*(c + d*x)^4)","A",6,3,15,0.2000,1,"{6565, 2198, 2179}"
137,1,139,0,0.3852382,"\int (c+d x)^3 \Gamma (-1,a+b x) \, dx","Int[(c + d*x)^3*Gamma[-1, a + b*x],x]","-\frac{d^2 (b c-a d) \Gamma (2,a+b x)}{b^4}-\frac{3 d e^{-a-b x} (b c-a d)^2}{2 b^4}-\frac{(b c-a d)^4 \Gamma (-1,a+b x)}{4 b^4 d}-\frac{(b c-a d)^3 \Gamma (0,a+b x)}{b^4}-\frac{d^3 \Gamma (3,a+b x)}{4 b^4}+\frac{(c+d x)^4 \Gamma (-1,a+b x)}{4 d}","-\frac{d^2 (b c-a d) \Gamma (2,a+b x)}{b^4}-\frac{3 d e^{-a-b x} (b c-a d)^2}{2 b^4}-\frac{(b c-a d)^4 \Gamma (-1,a+b x)}{4 b^4 d}-\frac{(b c-a d)^3 \Gamma (0,a+b x)}{b^4}-\frac{d^3 \Gamma (3,a+b x)}{4 b^4}+\frac{(c+d x)^4 \Gamma (-1,a+b x)}{4 d}",1,"(-3*d*(b*c - a*d)^2*E^(-a - b*x))/(2*b^4) - ((b*c - a*d)^4*Gamma[-1, a + b*x])/(4*b^4*d) + ((c + d*x)^4*Gamma[-1, a + b*x])/(4*d) - ((b*c - a*d)^3*Gamma[0, a + b*x])/b^4 - (d^2*(b*c - a*d)*Gamma[2, a + b*x])/b^4 - (d^3*Gamma[3, a + b*x])/(4*b^4)","A",8,4,15,0.2667,1,"{6565, 2198, 2194, 2179}"
138,1,118,0,0.2859084,"\int (c+d x)^2 \Gamma (-1,a+b x) \, dx","Int[(c + d*x)^2*Gamma[-1, a + b*x],x]","-\frac{d e^{-a-b x} (3 b c-2 a d)}{3 b^3}-\frac{(b c-a d)^3 \Gamma (-1,a+b x)}{3 b^3 d}-\frac{(b c-a d)^2 \Gamma (0,a+b x)}{b^3}-\frac{e^{-a} d^2 \Gamma (2,b x)}{3 b^3}+\frac{(c+d x)^3 \Gamma (-1,a+b x)}{3 d}","-\frac{d e^{-a-b x} (3 b c-2 a d)}{3 b^3}-\frac{(b c-a d)^3 \Gamma (-1,a+b x)}{3 b^3 d}-\frac{(b c-a d)^2 \Gamma (0,a+b x)}{b^3}-\frac{e^{-a} d^2 \Gamma (2,b x)}{3 b^3}+\frac{(c+d x)^3 \Gamma (-1,a+b x)}{3 d}",1,"-(d*(3*b*c - 2*a*d)*E^(-a - b*x))/(3*b^3) - ((b*c - a*d)^3*Gamma[-1, a + b*x])/(3*b^3*d) + ((c + d*x)^3*Gamma[-1, a + b*x])/(3*d) - ((b*c - a*d)^2*Gamma[0, a + b*x])/b^3 - (d^2*Gamma[2, b*x])/(3*b^3*E^a)","A",7,4,15,0.2667,1,"{6565, 2198, 2194, 2179}"
139,1,87,0,0.2608125,"\int (c+d x) \Gamma (-1,a+b x) \, dx","Int[(c + d*x)*Gamma[-1, a + b*x],x]","-\frac{(b c-a d)^2 \Gamma (-1,a+b x)}{2 b^2 d}-\frac{(b c-a d) \Gamma (0,a+b x)}{b^2}-\frac{d e^{-a-b x}}{2 b^2}+\frac{(c+d x)^2 \Gamma (-1,a+b x)}{2 d}","-\frac{(b c-a d)^2 \Gamma (-1,a+b x)}{2 b^2 d}-\frac{(b c-a d) \Gamma (0,a+b x)}{b^2}-\frac{d e^{-a-b x}}{2 b^2}+\frac{(c+d x)^2 \Gamma (-1,a+b x)}{2 d}",1,"-(d*E^(-a - b*x))/(2*b^2) - ((b*c - a*d)^2*Gamma[-1, a + b*x])/(2*b^2*d) + ((c + d*x)^2*Gamma[-1, a + b*x])/(2*d) - ((b*c - a*d)*Gamma[0, a + b*x])/b^2","A",6,4,13,0.3077,1,"{6565, 2198, 2194, 2179}"
140,1,29,0,0.0166953,"\int \Gamma (-1,a+b x) \, dx","Int[Gamma[-1, a + b*x],x]","\frac{(a+b x) \Gamma (-1,a+b x)}{b}-\frac{\Gamma (0,a+b x)}{b}","\frac{(a+b x) \Gamma (-1,a+b x)}{b}-\frac{\Gamma (0,a+b x)}{b}",1,"((a + b*x)*Gamma[-1, a + b*x])/b - Gamma[0, a + b*x]/b","A",1,1,7,0.1429,1,"{6557}"
141,0,0,0,0.0147902,"\int \frac{\Gamma (-1,a+b x)}{c+d x} \, dx","Int[Gamma[-1, a + b*x]/(c + d*x),x]","\int \frac{\Gamma (-1,a+b x)}{c+d x} \, dx","\text{Int}\left(\frac{\Gamma (-1,a+b x)}{c+d x},x\right)",0,"Defer[Int][Gamma[-1, a + b*x]/(c + d*x), x]","N/A",0,0,0,0,-1,"{}"
142,1,98,0,0.4504814,"\int \frac{\Gamma (-1,a+b x)}{(c+d x)^2} \, dx","Int[Gamma[-1, a + b*x]/(c + d*x)^2,x]","\frac{b \Gamma (-1,a+b x)}{d (b c-a d)}-\frac{\Gamma (-1,a+b x)}{d (c+d x)}-\frac{b \Gamma (0,a+b x)}{(b c-a d)^2}+\frac{b e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{(b c-a d)^2}","\frac{b \Gamma (-1,a+b x)}{d (b c-a d)}-\frac{\Gamma (-1,a+b x)}{d (c+d x)}-\frac{b \Gamma (0,a+b x)}{(b c-a d)^2}+\frac{b e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{(b c-a d)^2}",1,"(b*Gamma[-1, a + b*x])/(d*(b*c - a*d)) - Gamma[-1, a + b*x]/(d*(c + d*x)) - (b*Gamma[0, a + b*x])/(b*c - a*d)^2 + (b*E^(-a + (b*c)/d)*Gamma[0, (b*(c + d*x))/d])/(b*c - a*d)^2","A",6,3,15,0.2000,1,"{6565, 6742, 2179}"
143,1,153,0,0.5257111,"\int \frac{\Gamma (-1,a+b x)}{(c+d x)^3} \, dx","Int[Gamma[-1, a + b*x]/(c + d*x)^3,x]","\frac{b^2 \Gamma (-1,a+b x)}{2 d (b c-a d)^2}+\frac{b^2 e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{2 d (b c-a d)^2}-\frac{b^2 \Gamma (0,a+b x)}{(b c-a d)^3}+\frac{b^2 e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{(b c-a d)^3}-\frac{\Gamma (-1,a+b x)}{2 d (c+d x)^2}","\frac{b^2 \Gamma (-1,a+b x)}{2 d (b c-a d)^2}+\frac{b^2 e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{2 d (b c-a d)^2}-\frac{b^2 \Gamma (0,a+b x)}{(b c-a d)^3}+\frac{b^2 e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{(b c-a d)^3}-\frac{\Gamma (-1,a+b x)}{2 d (c+d x)^2}",1,"(b^2*Gamma[-1, a + b*x])/(2*d*(b*c - a*d)^2) - Gamma[-1, a + b*x]/(2*d*(c + d*x)^2) + (b^2*E^(-a + (b*c)/d)*Gamma[-1, (b*(c + d*x))/d])/(2*d*(b*c - a*d)^2) - (b^2*Gamma[0, a + b*x])/(b*c - a*d)^3 + (b^2*E^(-a + (b*c)/d)*Gamma[0, (b*(c + d*x))/d])/(b*c - a*d)^3","A",7,3,15,0.2000,1,"{6565, 6742, 2179}"
144,1,197,0,0.6701488,"\int \frac{\Gamma (-1,a+b x)}{(c+d x)^4} \, dx","Int[Gamma[-1, a + b*x]/(c + d*x)^4,x]","\frac{b^3 e^{\frac{b c}{d}-a} \Gamma \left(-2,\frac{b (c+d x)}{d}\right)}{3 d^2 (b c-a d)^2}+\frac{b^3 \Gamma (-1,a+b x)}{3 d (b c-a d)^3}+\frac{2 b^3 e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{3 d (b c-a d)^3}-\frac{b^3 \Gamma (0,a+b x)}{(b c-a d)^4}+\frac{b^3 e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{(b c-a d)^4}-\frac{\Gamma (-1,a+b x)}{3 d (c+d x)^3}","\frac{b^3 e^{\frac{b c}{d}-a} \Gamma \left(-2,\frac{b (c+d x)}{d}\right)}{3 d^2 (b c-a d)^2}+\frac{b^3 \Gamma (-1,a+b x)}{3 d (b c-a d)^3}+\frac{2 b^3 e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{3 d (b c-a d)^3}-\frac{b^3 \Gamma (0,a+b x)}{(b c-a d)^4}+\frac{b^3 e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{(b c-a d)^4}-\frac{\Gamma (-1,a+b x)}{3 d (c+d x)^3}",1,"(b^3*E^(-a + (b*c)/d)*Gamma[-2, (b*(c + d*x))/d])/(3*d^2*(b*c - a*d)^2) + (b^3*Gamma[-1, a + b*x])/(3*d*(b*c - a*d)^3) - Gamma[-1, a + b*x]/(3*d*(c + d*x)^3) + (2*b^3*E^(-a + (b*c)/d)*Gamma[-1, (b*(c + d*x))/d])/(3*d*(b*c - a*d)^3) - (b^3*Gamma[0, a + b*x])/(b*c - a*d)^4 + (b^3*E^(-a + (b*c)/d)*Gamma[0, (b*(c + d*x))/d])/(b*c - a*d)^4","A",8,3,15,0.2000,1,"{6565, 6742, 2179}"
145,1,145,0,0.3666705,"\int (c+d x)^3 \Gamma (-2,a+b x) \, dx","Int[(c + d*x)^3*Gamma[-2, a + b*x],x]","-\frac{d^2 e^{-a-b x} (4 b c-3 a d)}{4 b^4}-\frac{(b c-a d)^4 \Gamma (-2,a+b x)}{4 b^4 d}-\frac{(b c-a d)^3 \Gamma (-1,a+b x)}{b^4}-\frac{3 d (b c-a d)^2 \Gamma (0,a+b x)}{2 b^4}-\frac{e^{-a} d^3 \Gamma (2,b x)}{4 b^4}+\frac{(c+d x)^4 \Gamma (-2,a+b x)}{4 d}","-\frac{d^2 e^{-a-b x} (4 b c-3 a d)}{4 b^4}-\frac{(b c-a d)^4 \Gamma (-2,a+b x)}{4 b^4 d}-\frac{(b c-a d)^3 \Gamma (-1,a+b x)}{b^4}-\frac{3 d (b c-a d)^2 \Gamma (0,a+b x)}{2 b^4}-\frac{e^{-a} d^3 \Gamma (2,b x)}{4 b^4}+\frac{(c+d x)^4 \Gamma (-2,a+b x)}{4 d}",1,"-(d^2*(4*b*c - 3*a*d)*E^(-a - b*x))/(4*b^4) - ((b*c - a*d)^4*Gamma[-2, a + b*x])/(4*b^4*d) + ((c + d*x)^4*Gamma[-2, a + b*x])/(4*d) - ((b*c - a*d)^3*Gamma[-1, a + b*x])/b^4 - (3*d*(b*c - a*d)^2*Gamma[0, a + b*x])/(2*b^4) - (d^3*Gamma[2, b*x])/(4*b^4*E^a)","A",8,4,15,0.2667,1,"{6565, 2198, 2194, 2179}"
146,1,112,0,0.3005252,"\int (c+d x)^2 \Gamma (-2,a+b x) \, dx","Int[(c + d*x)^2*Gamma[-2, a + b*x],x]","-\frac{(b c-a d)^3 \Gamma (-2,a+b x)}{3 b^3 d}-\frac{(b c-a d)^2 \Gamma (-1,a+b x)}{b^3}-\frac{d (b c-a d) \Gamma (0,a+b x)}{b^3}-\frac{d^2 e^{-a-b x}}{3 b^3}+\frac{(c+d x)^3 \Gamma (-2,a+b x)}{3 d}","-\frac{(b c-a d)^3 \Gamma (-2,a+b x)}{3 b^3 d}-\frac{(b c-a d)^2 \Gamma (-1,a+b x)}{b^3}-\frac{d (b c-a d) \Gamma (0,a+b x)}{b^3}-\frac{d^2 e^{-a-b x}}{3 b^3}+\frac{(c+d x)^3 \Gamma (-2,a+b x)}{3 d}",1,"-(d^2*E^(-a - b*x))/(3*b^3) - ((b*c - a*d)^3*Gamma[-2, a + b*x])/(3*b^3*d) + ((c + d*x)^3*Gamma[-2, a + b*x])/(3*d) - ((b*c - a*d)^2*Gamma[-1, a + b*x])/b^3 - (d*(b*c - a*d)*Gamma[0, a + b*x])/b^3","A",7,4,15,0.2667,1,"{6565, 2198, 2194, 2179}"
147,1,84,0,0.2472883,"\int (c+d x) \Gamma (-2,a+b x) \, dx","Int[(c + d*x)*Gamma[-2, a + b*x],x]","-\frac{(b c-a d)^2 \Gamma (-2,a+b x)}{2 b^2 d}-\frac{(b c-a d) \Gamma (-1,a+b x)}{b^2}-\frac{d \Gamma (0,a+b x)}{2 b^2}+\frac{(c+d x)^2 \Gamma (-2,a+b x)}{2 d}","-\frac{(b c-a d)^2 \Gamma (-2,a+b x)}{2 b^2 d}-\frac{(b c-a d) \Gamma (-1,a+b x)}{b^2}-\frac{d \Gamma (0,a+b x)}{2 b^2}+\frac{(c+d x)^2 \Gamma (-2,a+b x)}{2 d}",1,"-((b*c - a*d)^2*Gamma[-2, a + b*x])/(2*b^2*d) + ((c + d*x)^2*Gamma[-2, a + b*x])/(2*d) - ((b*c - a*d)*Gamma[-1, a + b*x])/b^2 - (d*Gamma[0, a + b*x])/(2*b^2)","A",6,3,13,0.2308,1,"{6565, 2198, 2179}"
148,1,29,0,0.0065379,"\int \Gamma (-2,a+b x) \, dx","Int[Gamma[-2, a + b*x],x]","\frac{(a+b x) \Gamma (-2,a+b x)}{b}-\frac{\Gamma (-1,a+b x)}{b}","\frac{(a+b x) \Gamma (-2,a+b x)}{b}-\frac{\Gamma (-1,a+b x)}{b}",1,"((a + b*x)*Gamma[-2, a + b*x])/b - Gamma[-1, a + b*x]/b","A",1,1,7,0.1429,1,"{6557}"
149,0,0,0,0.0150222,"\int \frac{\Gamma (-2,a+b x)}{c+d x} \, dx","Int[Gamma[-2, a + b*x]/(c + d*x),x]","\int \frac{\Gamma (-2,a+b x)}{c+d x} \, dx","\text{Int}\left(\frac{\Gamma (-2,a+b x)}{c+d x},x\right)",0,"Defer[Int][Gamma[-2, a + b*x]/(c + d*x), x]","N/A",0,0,0,0,-1,"{}"
150,1,120,0,0.5034827,"\int \frac{\Gamma (-2,a+b x)}{(c+d x)^2} \, dx","Int[Gamma[-2, a + b*x]/(c + d*x)^2,x]","\frac{b \Gamma (-2,a+b x)}{d (b c-a d)}-\frac{\Gamma (-2,a+b x)}{d (c+d x)}-\frac{b \Gamma (-1,a+b x)}{(b c-a d)^2}+\frac{b d \Gamma (0,a+b x)}{(b c-a d)^3}-\frac{b d e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{(b c-a d)^3}","\frac{b \Gamma (-2,a+b x)}{d (b c-a d)}-\frac{\Gamma (-2,a+b x)}{d (c+d x)}-\frac{b \Gamma (-1,a+b x)}{(b c-a d)^2}+\frac{b d \Gamma (0,a+b x)}{(b c-a d)^3}-\frac{b d e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{(b c-a d)^3}",1,"(b*Gamma[-2, a + b*x])/(d*(b*c - a*d)) - Gamma[-2, a + b*x]/(d*(c + d*x)) - (b*Gamma[-1, a + b*x])/(b*c - a*d)^2 + (b*d*Gamma[0, a + b*x])/(b*c - a*d)^3 - (b*d*E^(-a + (b*c)/d)*Gamma[0, (b*(c + d*x))/d])/(b*c - a*d)^3","A",7,3,15,0.2000,1,"{6565, 6742, 2179}"
151,1,179,0,0.6204351,"\int \frac{\Gamma (-2,a+b x)}{(c+d x)^3} \, dx","Int[Gamma[-2, a + b*x]/(c + d*x)^3,x]","\frac{b^2 \Gamma (-2,a+b x)}{2 d (b c-a d)^2}-\frac{b^2 \Gamma (-1,a+b x)}{(b c-a d)^3}-\frac{b^2 e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{2 (b c-a d)^3}+\frac{3 b^2 d \Gamma (0,a+b x)}{2 (b c-a d)^4}-\frac{3 b^2 d e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{2 (b c-a d)^4}-\frac{\Gamma (-2,a+b x)}{2 d (c+d x)^2}","\frac{b^2 \Gamma (-2,a+b x)}{2 d (b c-a d)^2}-\frac{b^2 \Gamma (-1,a+b x)}{(b c-a d)^3}-\frac{b^2 e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{2 (b c-a d)^3}+\frac{3 b^2 d \Gamma (0,a+b x)}{2 (b c-a d)^4}-\frac{3 b^2 d e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{2 (b c-a d)^4}-\frac{\Gamma (-2,a+b x)}{2 d (c+d x)^2}",1,"(b^2*Gamma[-2, a + b*x])/(2*d*(b*c - a*d)^2) - Gamma[-2, a + b*x]/(2*d*(c + d*x)^2) - (b^2*Gamma[-1, a + b*x])/(b*c - a*d)^3 - (b^2*E^(-a + (b*c)/d)*Gamma[-1, (b*(c + d*x))/d])/(2*(b*c - a*d)^3) + (3*b^2*d*Gamma[0, a + b*x])/(2*(b*c - a*d)^4) - (3*b^2*d*E^(-a + (b*c)/d)*Gamma[0, (b*(c + d*x))/d])/(2*(b*c - a*d)^4)","A",8,3,15,0.2000,1,"{6565, 6742, 2179}"
152,1,217,0,0.7299762,"\int \frac{\Gamma (-2,a+b x)}{(c+d x)^4} \, dx","Int[Gamma[-2, a + b*x]/(c + d*x)^4,x]","\frac{b^3 \Gamma (-2,a+b x)}{3 d (b c-a d)^3}-\frac{b^3 e^{\frac{b c}{d}-a} \Gamma \left(-2,\frac{b (c+d x)}{d}\right)}{3 d (b c-a d)^3}-\frac{b^3 \Gamma (-1,a+b x)}{(b c-a d)^4}-\frac{b^3 e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{(b c-a d)^4}+\frac{2 b^3 d \Gamma (0,a+b x)}{(b c-a d)^5}-\frac{2 b^3 d e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{(b c-a d)^5}-\frac{\Gamma (-2,a+b x)}{3 d (c+d x)^3}","\frac{b^3 \Gamma (-2,a+b x)}{3 d (b c-a d)^3}-\frac{b^3 e^{\frac{b c}{d}-a} \Gamma \left(-2,\frac{b (c+d x)}{d}\right)}{3 d (b c-a d)^3}-\frac{b^3 \Gamma (-1,a+b x)}{(b c-a d)^4}-\frac{b^3 e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{(b c-a d)^4}+\frac{2 b^3 d \Gamma (0,a+b x)}{(b c-a d)^5}-\frac{2 b^3 d e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{(b c-a d)^5}-\frac{\Gamma (-2,a+b x)}{3 d (c+d x)^3}",1,"(b^3*Gamma[-2, a + b*x])/(3*d*(b*c - a*d)^3) - Gamma[-2, a + b*x]/(3*d*(c + d*x)^3) - (b^3*E^(-a + (b*c)/d)*Gamma[-2, (b*(c + d*x))/d])/(3*d*(b*c - a*d)^3) - (b^3*Gamma[-1, a + b*x])/(b*c - a*d)^4 - (b^3*E^(-a + (b*c)/d)*Gamma[-1, (b*(c + d*x))/d])/(b*c - a*d)^4 + (2*b^3*d*Gamma[0, a + b*x])/(b*c - a*d)^5 - (2*b^3*d*E^(-a + (b*c)/d)*Gamma[0, (b*(c + d*x))/d])/(b*c - a*d)^5","A",9,3,15,0.2000,1,"{6565, 6742, 2179}"
153,1,139,0,0.38349,"\int (c+d x)^3 \Gamma (-3,a+b x) \, dx","Int[(c + d*x)^3*Gamma[-3, a + b*x],x]","-\frac{d^2 (b c-a d) \Gamma (0,a+b x)}{b^4}-\frac{(b c-a d)^4 \Gamma (-3,a+b x)}{4 b^4 d}-\frac{(b c-a d)^3 \Gamma (-2,a+b x)}{b^4}-\frac{3 d (b c-a d)^2 \Gamma (-1,a+b x)}{2 b^4}-\frac{d^3 e^{-a-b x}}{4 b^4}+\frac{(c+d x)^4 \Gamma (-3,a+b x)}{4 d}","-\frac{d^2 (b c-a d) \Gamma (0,a+b x)}{b^4}-\frac{(b c-a d)^4 \Gamma (-3,a+b x)}{4 b^4 d}-\frac{(b c-a d)^3 \Gamma (-2,a+b x)}{b^4}-\frac{3 d (b c-a d)^2 \Gamma (-1,a+b x)}{2 b^4}-\frac{d^3 e^{-a-b x}}{4 b^4}+\frac{(c+d x)^4 \Gamma (-3,a+b x)}{4 d}",1,"-(d^3*E^(-a - b*x))/(4*b^4) - ((b*c - a*d)^4*Gamma[-3, a + b*x])/(4*b^4*d) + ((c + d*x)^4*Gamma[-3, a + b*x])/(4*d) - ((b*c - a*d)^3*Gamma[-2, a + b*x])/b^4 - (3*d*(b*c - a*d)^2*Gamma[-1, a + b*x])/(2*b^4) - (d^2*(b*c - a*d)*Gamma[0, a + b*x])/b^4","A",8,4,15,0.2667,1,"{6565, 2198, 2194, 2179}"
154,1,109,0,0.3247915,"\int (c+d x)^2 \Gamma (-3,a+b x) \, dx","Int[(c + d*x)^2*Gamma[-3, a + b*x],x]","-\frac{(b c-a d)^3 \Gamma (-3,a+b x)}{3 b^3 d}-\frac{(b c-a d)^2 \Gamma (-2,a+b x)}{b^3}-\frac{d (b c-a d) \Gamma (-1,a+b x)}{b^3}-\frac{d^2 \Gamma (0,a+b x)}{3 b^3}+\frac{(c+d x)^3 \Gamma (-3,a+b x)}{3 d}","-\frac{(b c-a d)^3 \Gamma (-3,a+b x)}{3 b^3 d}-\frac{(b c-a d)^2 \Gamma (-2,a+b x)}{b^3}-\frac{d (b c-a d) \Gamma (-1,a+b x)}{b^3}-\frac{d^2 \Gamma (0,a+b x)}{3 b^3}+\frac{(c+d x)^3 \Gamma (-3,a+b x)}{3 d}",1,"-((b*c - a*d)^3*Gamma[-3, a + b*x])/(3*b^3*d) + ((c + d*x)^3*Gamma[-3, a + b*x])/(3*d) - ((b*c - a*d)^2*Gamma[-2, a + b*x])/b^3 - (d*(b*c - a*d)*Gamma[-1, a + b*x])/b^3 - (d^2*Gamma[0, a + b*x])/(3*b^3)","A",7,3,15,0.2000,1,"{6565, 2198, 2179}"
155,1,84,0,0.2492013,"\int (c+d x) \Gamma (-3,a+b x) \, dx","Int[(c + d*x)*Gamma[-3, a + b*x],x]","-\frac{(b c-a d)^2 \Gamma (-3,a+b x)}{2 b^2 d}-\frac{(b c-a d) \Gamma (-2,a+b x)}{b^2}-\frac{d \Gamma (-1,a+b x)}{2 b^2}+\frac{(c+d x)^2 \Gamma (-3,a+b x)}{2 d}","-\frac{(b c-a d)^2 \Gamma (-3,a+b x)}{2 b^2 d}-\frac{(b c-a d) \Gamma (-2,a+b x)}{b^2}-\frac{d \Gamma (-1,a+b x)}{2 b^2}+\frac{(c+d x)^2 \Gamma (-3,a+b x)}{2 d}",1,"-((b*c - a*d)^2*Gamma[-3, a + b*x])/(2*b^2*d) + ((c + d*x)^2*Gamma[-3, a + b*x])/(2*d) - ((b*c - a*d)*Gamma[-2, a + b*x])/b^2 - (d*Gamma[-1, a + b*x])/(2*b^2)","A",6,3,13,0.2308,1,"{6565, 2198, 2179}"
156,1,29,0,0.0061529,"\int \Gamma (-3,a+b x) \, dx","Int[Gamma[-3, a + b*x],x]","\frac{(a+b x) \Gamma (-3,a+b x)}{b}-\frac{\Gamma (-2,a+b x)}{b}","\frac{(a+b x) \Gamma (-3,a+b x)}{b}-\frac{\Gamma (-2,a+b x)}{b}",1,"((a + b*x)*Gamma[-3, a + b*x])/b - Gamma[-2, a + b*x]/b","A",1,1,7,0.1429,1,"{6557}"
157,0,0,0,0.0149814,"\int \frac{\Gamma (-3,a+b x)}{c+d x} \, dx","Int[Gamma[-3, a + b*x]/(c + d*x),x]","\int \frac{\Gamma (-3,a+b x)}{c+d x} \, dx","\text{Int}\left(\frac{\Gamma (-3,a+b x)}{c+d x},x\right)",0,"Defer[Int][Gamma[-3, a + b*x]/(c + d*x), x]","N/A",0,0,0,0,-1,"{}"
158,1,144,0,0.6103782,"\int \frac{\Gamma (-3,a+b x)}{(c+d x)^2} \, dx","Int[Gamma[-3, a + b*x]/(c + d*x)^2,x]","-\frac{b d^2 \Gamma (0,a+b x)}{(b c-a d)^4}+\frac{b d^2 e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{(b c-a d)^4}+\frac{b d \Gamma (-1,a+b x)}{(b c-a d)^3}-\frac{b \Gamma (-2,a+b x)}{(b c-a d)^2}+\frac{b \Gamma (-3,a+b x)}{d (b c-a d)}-\frac{\Gamma (-3,a+b x)}{d (c+d x)}","-\frac{b d^2 \Gamma (0,a+b x)}{(b c-a d)^4}+\frac{b d^2 e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{(b c-a d)^4}+\frac{b d \Gamma (-1,a+b x)}{(b c-a d)^3}-\frac{b \Gamma (-2,a+b x)}{(b c-a d)^2}+\frac{b \Gamma (-3,a+b x)}{d (b c-a d)}-\frac{\Gamma (-3,a+b x)}{d (c+d x)}",1,"(b*Gamma[-3, a + b*x])/(d*(b*c - a*d)) - Gamma[-3, a + b*x]/(d*(c + d*x)) - (b*Gamma[-2, a + b*x])/(b*c - a*d)^2 + (b*d*Gamma[-1, a + b*x])/(b*c - a*d)^3 - (b*d^2*Gamma[0, a + b*x])/(b*c - a*d)^4 + (b*d^2*E^(-a + (b*c)/d)*Gamma[0, (b*(c + d*x))/d])/(b*c - a*d)^4","A",8,3,15,0.2000,1,"{6565, 6742, 2179}"
159,1,205,0,0.689861,"\int \frac{\Gamma (-3,a+b x)}{(c+d x)^3} \, dx","Int[Gamma[-3, a + b*x]/(c + d*x)^3,x]","-\frac{2 b^2 d^2 \Gamma (0,a+b x)}{(b c-a d)^5}+\frac{2 b^2 d^2 e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{(b c-a d)^5}+\frac{b^2 \Gamma (-3,a+b x)}{2 d (b c-a d)^2}-\frac{b^2 \Gamma (-2,a+b x)}{(b c-a d)^3}+\frac{3 b^2 d \Gamma (-1,a+b x)}{2 (b c-a d)^4}+\frac{b^2 d e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{2 (b c-a d)^4}-\frac{\Gamma (-3,a+b x)}{2 d (c+d x)^2}","-\frac{2 b^2 d^2 \Gamma (0,a+b x)}{(b c-a d)^5}+\frac{2 b^2 d^2 e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{(b c-a d)^5}+\frac{b^2 \Gamma (-3,a+b x)}{2 d (b c-a d)^2}-\frac{b^2 \Gamma (-2,a+b x)}{(b c-a d)^3}+\frac{3 b^2 d \Gamma (-1,a+b x)}{2 (b c-a d)^4}+\frac{b^2 d e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{2 (b c-a d)^4}-\frac{\Gamma (-3,a+b x)}{2 d (c+d x)^2}",1,"(b^2*Gamma[-3, a + b*x])/(2*d*(b*c - a*d)^2) - Gamma[-3, a + b*x]/(2*d*(c + d*x)^2) - (b^2*Gamma[-2, a + b*x])/(b*c - a*d)^3 + (3*b^2*d*Gamma[-1, a + b*x])/(2*(b*c - a*d)^4) + (b^2*d*E^(-a + (b*c)/d)*Gamma[-1, (b*(c + d*x))/d])/(2*(b*c - a*d)^4) - (2*b^2*d^2*Gamma[0, a + b*x])/(b*c - a*d)^5 + (2*b^2*d^2*E^(-a + (b*c)/d)*Gamma[0, (b*(c + d*x))/d])/(b*c - a*d)^5","A",9,3,15,0.2000,1,"{6565, 6742, 2179}"
160,1,248,0,0.820878,"\int \frac{\Gamma (-3,a+b x)}{(c+d x)^4} \, dx","Int[Gamma[-3, a + b*x]/(c + d*x)^4,x]","-\frac{10 b^3 d^2 \Gamma (0,a+b x)}{3 (b c-a d)^6}+\frac{10 b^3 d^2 e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{3 (b c-a d)^6}+\frac{b^3 \Gamma (-3,a+b x)}{3 d (b c-a d)^3}-\frac{b^3 \Gamma (-2,a+b x)}{(b c-a d)^4}+\frac{b^3 e^{\frac{b c}{d}-a} \Gamma \left(-2,\frac{b (c+d x)}{d}\right)}{3 (b c-a d)^4}+\frac{2 b^3 d \Gamma (-1,a+b x)}{(b c-a d)^5}+\frac{4 b^3 d e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{3 (b c-a d)^5}-\frac{\Gamma (-3,a+b x)}{3 d (c+d x)^3}","-\frac{10 b^3 d^2 \Gamma (0,a+b x)}{3 (b c-a d)^6}+\frac{10 b^3 d^2 e^{\frac{b c}{d}-a} \Gamma \left(0,\frac{b (c+d x)}{d}\right)}{3 (b c-a d)^6}+\frac{b^3 \Gamma (-3,a+b x)}{3 d (b c-a d)^3}-\frac{b^3 \Gamma (-2,a+b x)}{(b c-a d)^4}+\frac{b^3 e^{\frac{b c}{d}-a} \Gamma \left(-2,\frac{b (c+d x)}{d}\right)}{3 (b c-a d)^4}+\frac{2 b^3 d \Gamma (-1,a+b x)}{(b c-a d)^5}+\frac{4 b^3 d e^{\frac{b c}{d}-a} \Gamma \left(-1,\frac{b (c+d x)}{d}\right)}{3 (b c-a d)^5}-\frac{\Gamma (-3,a+b x)}{3 d (c+d x)^3}",1,"(b^3*Gamma[-3, a + b*x])/(3*d*(b*c - a*d)^3) - Gamma[-3, a + b*x]/(3*d*(c + d*x)^3) - (b^3*Gamma[-2, a + b*x])/(b*c - a*d)^4 + (b^3*E^(-a + (b*c)/d)*Gamma[-2, (b*(c + d*x))/d])/(3*(b*c - a*d)^4) + (2*b^3*d*Gamma[-1, a + b*x])/(b*c - a*d)^5 + (4*b^3*d*E^(-a + (b*c)/d)*Gamma[-1, (b*(c + d*x))/d])/(3*(b*c - a*d)^5) - (10*b^3*d^2*Gamma[0, a + b*x])/(3*(b*c - a*d)^6) + (10*b^3*d^2*E^(-a + (b*c)/d)*Gamma[0, (b*(c + d*x))/d])/(3*(b*c - a*d)^6)","A",10,3,15,0.2000,1,"{6565, 6742, 2179}"
161,1,80,0,0.1349704,"\int x^{5/2} \Gamma (2,a+b x) \, dx","Int[x^(5/2)*Gamma[2, a + b*x],x]","-\frac{2 a e^{-a} \sqrt{x} \Gamma \left(\frac{9}{2},b x\right)}{7 b^3 \sqrt{b x}}-\frac{2 e^{-a} \sqrt{x} \Gamma \left(\frac{11}{2},b x\right)}{7 b^3 \sqrt{b x}}+\frac{2}{7} x^{7/2} \Gamma (2,a+b x)","-\frac{2 a e^{-a} \sqrt{x} \Gamma \left(\frac{9}{2},b x\right)}{7 b^3 \sqrt{b x}}-\frac{2 e^{-a} \sqrt{x} \Gamma \left(\frac{11}{2},b x\right)}{7 b^3 \sqrt{b x}}+\frac{2}{7} x^{7/2} \Gamma (2,a+b x)",1,"(2*x^(7/2)*Gamma[2, a + b*x])/7 - (2*a*Sqrt[x]*Gamma[9/2, b*x])/(7*b^3*E^a*Sqrt[b*x]) - (2*Sqrt[x]*Gamma[11/2, b*x])/(7*b^3*E^a*Sqrt[b*x])","A",5,3,13,0.2308,1,"{6565, 2198, 2181}"
162,1,80,0,0.1426214,"\int x^{3/2} \Gamma (2,a+b x) \, dx","Int[x^(3/2)*Gamma[2, a + b*x],x]","-\frac{2 a e^{-a} \sqrt{x} \Gamma \left(\frac{7}{2},b x\right)}{5 b^2 \sqrt{b x}}-\frac{2 e^{-a} \sqrt{x} \Gamma \left(\frac{9}{2},b x\right)}{5 b^2 \sqrt{b x}}+\frac{2}{5} x^{5/2} \Gamma (2,a+b x)","-\frac{2 a e^{-a} \sqrt{x} \Gamma \left(\frac{7}{2},b x\right)}{5 b^2 \sqrt{b x}}-\frac{2 e^{-a} \sqrt{x} \Gamma \left(\frac{9}{2},b x\right)}{5 b^2 \sqrt{b x}}+\frac{2}{5} x^{5/2} \Gamma (2,a+b x)",1,"(2*x^(5/2)*Gamma[2, a + b*x])/5 - (2*a*Sqrt[x]*Gamma[7/2, b*x])/(5*b^2*E^a*Sqrt[b*x]) - (2*Sqrt[x]*Gamma[9/2, b*x])/(5*b^2*E^a*Sqrt[b*x])","A",5,3,13,0.2308,1,"{6565, 2198, 2181}"
163,1,80,0,0.1316363,"\int \sqrt{x} \Gamma (2,a+b x) \, dx","Int[Sqrt[x]*Gamma[2, a + b*x],x]","\frac{2}{3} x^{3/2} \Gamma (2,a+b x)-\frac{2 a e^{-a} \sqrt{x} \Gamma \left(\frac{5}{2},b x\right)}{3 b \sqrt{b x}}-\frac{2 e^{-a} \sqrt{x} \Gamma \left(\frac{7}{2},b x\right)}{3 b \sqrt{b x}}","\frac{2}{3} x^{3/2} \Gamma (2,a+b x)-\frac{2 a e^{-a} \sqrt{x} \Gamma \left(\frac{5}{2},b x\right)}{3 b \sqrt{b x}}-\frac{2 e^{-a} \sqrt{x} \Gamma \left(\frac{7}{2},b x\right)}{3 b \sqrt{b x}}",1,"(2*x^(3/2)*Gamma[2, a + b*x])/3 - (2*a*Sqrt[x]*Gamma[5/2, b*x])/(3*b*E^a*Sqrt[b*x]) - (2*Sqrt[x]*Gamma[7/2, b*x])/(3*b*E^a*Sqrt[b*x])","A",5,3,13,0.2308,1,"{6565, 2198, 2181}"
164,1,68,0,0.1279206,"\int \frac{\Gamma (2,a+b x)}{\sqrt{x}} \, dx","Int[Gamma[2, a + b*x]/Sqrt[x],x]","-\frac{2 a e^{-a} \sqrt{x} \Gamma \left(\frac{3}{2},b x\right)}{\sqrt{b x}}+2 \sqrt{x} \Gamma (2,a+b x)-\frac{2 e^{-a} \sqrt{x} \Gamma \left(\frac{5}{2},b x\right)}{\sqrt{b x}}","-\frac{2 a e^{-a} \sqrt{x} \Gamma \left(\frac{3}{2},b x\right)}{\sqrt{b x}}+2 \sqrt{x} \Gamma (2,a+b x)-\frac{2 e^{-a} \sqrt{x} \Gamma \left(\frac{5}{2},b x\right)}{\sqrt{b x}}",1,"(-2*a*Sqrt[x]*Gamma[3/2, b*x])/(E^a*Sqrt[b*x]) + 2*Sqrt[x]*Gamma[2, a + b*x] - (2*Sqrt[x]*Gamma[5/2, b*x])/(E^a*Sqrt[b*x])","A",5,3,13,0.2308,1,"{6565, 2198, 2181}"
165,1,69,0,0.1359553,"\int \frac{\Gamma (2,a+b x)}{x^{3/2}} \, dx","Int[Gamma[2, a + b*x]/x^(3/2),x]","\frac{2 a e^{-a} \sqrt{b x} \Gamma \left(\frac{1}{2},b x\right)}{\sqrt{x}}+\frac{2 e^{-a} b \sqrt{x} \Gamma \left(\frac{3}{2},b x\right)}{\sqrt{b x}}-\frac{2 \Gamma (2,a+b x)}{\sqrt{x}}","\frac{2 a e^{-a} \sqrt{b x} \Gamma \left(\frac{1}{2},b x\right)}{\sqrt{x}}+\frac{2 e^{-a} b \sqrt{x} \Gamma \left(\frac{3}{2},b x\right)}{\sqrt{b x}}-\frac{2 \Gamma (2,a+b x)}{\sqrt{x}}",1,"(2*a*Sqrt[b*x]*Gamma[1/2, b*x])/(E^a*Sqrt[x]) + (2*b*Sqrt[x]*Gamma[3/2, b*x])/(E^a*Sqrt[b*x]) - (2*Gamma[2, a + b*x])/Sqrt[x]","A",5,3,13,0.2308,1,"{6565, 2198, 2181}"
166,1,76,0,0.1276731,"\int \frac{\Gamma (2,a+b x)}{x^{5/2}} \, dx","Int[Gamma[2, a + b*x]/x^(5/2),x]","-\frac{2 \Gamma (2,a+b x)}{3 x^{3/2}}+\frac{2 a e^{-a} b \sqrt{b x} \Gamma \left(-\frac{1}{2},b x\right)}{3 \sqrt{x}}+\frac{2 e^{-a} b \sqrt{b x} \Gamma \left(\frac{1}{2},b x\right)}{3 \sqrt{x}}","-\frac{2 \Gamma (2,a+b x)}{3 x^{3/2}}+\frac{2 a e^{-a} b \sqrt{b x} \Gamma \left(-\frac{1}{2},b x\right)}{3 \sqrt{x}}+\frac{2 e^{-a} b \sqrt{b x} \Gamma \left(\frac{1}{2},b x\right)}{3 \sqrt{x}}",1,"(2*a*b*Sqrt[b*x]*Gamma[-1/2, b*x])/(3*E^a*Sqrt[x]) + (2*b*Sqrt[b*x]*Gamma[1/2, b*x])/(3*E^a*Sqrt[x]) - (2*Gamma[2, a + b*x])/(3*x^(3/2))","A",5,3,13,0.2308,1,"{6565, 2198, 2181}"
167,1,80,0,0.1277973,"\int \frac{\Gamma (2,a+b x)}{x^{7/2}} \, dx","Int[Gamma[2, a + b*x]/x^(7/2),x]","\frac{2 a e^{-a} b^2 \sqrt{b x} \Gamma \left(-\frac{3}{2},b x\right)}{5 \sqrt{x}}+\frac{2 e^{-a} b^2 \sqrt{b x} \Gamma \left(-\frac{1}{2},b x\right)}{5 \sqrt{x}}-\frac{2 \Gamma (2,a+b x)}{5 x^{5/2}}","\frac{2 a e^{-a} b^2 \sqrt{b x} \Gamma \left(-\frac{3}{2},b x\right)}{5 \sqrt{x}}+\frac{2 e^{-a} b^2 \sqrt{b x} \Gamma \left(-\frac{1}{2},b x\right)}{5 \sqrt{x}}-\frac{2 \Gamma (2,a+b x)}{5 x^{5/2}}",1,"(2*a*b^2*Sqrt[b*x]*Gamma[-3/2, b*x])/(5*E^a*Sqrt[x]) + (2*b^2*Sqrt[b*x]*Gamma[-1/2, b*x])/(5*E^a*Sqrt[x]) - (2*Gamma[2, a + b*x])/(5*x^(5/2))","A",5,3,13,0.2308,1,"{6565, 2198, 2181}"
168,1,80,0,0.1339117,"\int \frac{\Gamma (2,a+b x)}{x^{9/2}} \, dx","Int[Gamma[2, a + b*x]/x^(9/2),x]","\frac{2 a e^{-a} b^3 \sqrt{b x} \Gamma \left(-\frac{5}{2},b x\right)}{7 \sqrt{x}}+\frac{2 e^{-a} b^3 \sqrt{b x} \Gamma \left(-\frac{3}{2},b x\right)}{7 \sqrt{x}}-\frac{2 \Gamma (2,a+b x)}{7 x^{7/2}}","\frac{2 a e^{-a} b^3 \sqrt{b x} \Gamma \left(-\frac{5}{2},b x\right)}{7 \sqrt{x}}+\frac{2 e^{-a} b^3 \sqrt{b x} \Gamma \left(-\frac{3}{2},b x\right)}{7 \sqrt{x}}-\frac{2 \Gamma (2,a+b x)}{7 x^{7/2}}",1,"(2*a*b^3*Sqrt[b*x]*Gamma[-5/2, b*x])/(7*E^a*Sqrt[x]) + (2*b^3*Sqrt[b*x]*Gamma[-3/2, b*x])/(7*E^a*Sqrt[x]) - (2*Gamma[2, a + b*x])/(7*x^(7/2))","A",5,3,13,0.2308,1,"{6565, 2198, 2181}"
169,0,0,0,0.0129077,"\int x^{3/2} \Gamma (-2,a+b x) \, dx","Int[x^(3/2)*Gamma[-2, a + b*x],x]","\int x^{3/2} \Gamma (-2,a+b x) \, dx","\text{Int}\left(x^{3/2} \Gamma (-2,a+b x),x\right)",0,"Defer[Int][x^(3/2)*Gamma[-2, a + b*x], x]","N/A",0,0,0,0,-1,"{}"
170,0,0,0,0.0113618,"\int \sqrt{x} \Gamma (-2,a+b x) \, dx","Int[Sqrt[x]*Gamma[-2, a + b*x],x]","\int \sqrt{x} \Gamma (-2,a+b x) \, dx","\text{Int}\left(\sqrt{x} \Gamma (-2,a+b x),x\right)",0,"Defer[Int][Sqrt[x]*Gamma[-2, a + b*x], x]","N/A",0,0,0,0,-1,"{}"
171,0,0,0,0.0109023,"\int \frac{\Gamma (-2,a+b x)}{\sqrt{x}} \, dx","Int[Gamma[-2, a + b*x]/Sqrt[x],x]","\int \frac{\Gamma (-2,a+b x)}{\sqrt{x}} \, dx","\text{Int}\left(\frac{\Gamma (-2,a+b x)}{\sqrt{x}},x\right)",0,"Defer[Int][Gamma[-2, a + b*x]/Sqrt[x], x]","N/A",0,0,0,0,-1,"{}"
172,0,0,0,0.0119557,"\int \frac{\Gamma (-2,a+b x)}{x^{3/2}} \, dx","Int[Gamma[-2, a + b*x]/x^(3/2),x]","\int \frac{\Gamma (-2,a+b x)}{x^{3/2}} \, dx","\text{Int}\left(\frac{\Gamma (-2,a+b x)}{x^{3/2}},x\right)",0,"Defer[Int][Gamma[-2, a + b*x]/x^(3/2), x]","N/A",0,0,0,0,-1,"{}"
173,1,80,0,0.1309424,"\int x^{4/3} \Gamma (2,a+b x) \, dx","Int[x^(4/3)*Gamma[2, a + b*x],x]","-\frac{3 a e^{-a} \sqrt[3]{x} \Gamma \left(\frac{10}{3},b x\right)}{7 b^2 \sqrt[3]{b x}}-\frac{3 e^{-a} \sqrt[3]{x} \Gamma \left(\frac{13}{3},b x\right)}{7 b^2 \sqrt[3]{b x}}+\frac{3}{7} x^{7/3} \Gamma (2,a+b x)","-\frac{3 a e^{-a} \sqrt[3]{x} \Gamma \left(\frac{10}{3},b x\right)}{7 b^2 \sqrt[3]{b x}}-\frac{3 e^{-a} \sqrt[3]{x} \Gamma \left(\frac{13}{3},b x\right)}{7 b^2 \sqrt[3]{b x}}+\frac{3}{7} x^{7/3} \Gamma (2,a+b x)",1,"(3*x^(7/3)*Gamma[2, a + b*x])/7 - (3*a*x^(1/3)*Gamma[10/3, b*x])/(7*b^2*E^a*(b*x)^(1/3)) - (3*x^(1/3)*Gamma[13/3, b*x])/(7*b^2*E^a*(b*x)^(1/3))","A",5,3,13,0.2308,1,"{6565, 2198, 2181}"
174,1,80,0,0.1305969,"\int x^{2/3} \Gamma (2,a+b x) \, dx","Int[x^(2/3)*Gamma[2, a + b*x],x]","\frac{3}{5} x^{5/3} \Gamma (2,a+b x)-\frac{3 a e^{-a} x^{2/3} \Gamma \left(\frac{8}{3},b x\right)}{5 b (b x)^{2/3}}-\frac{3 e^{-a} x^{2/3} \Gamma \left(\frac{11}{3},b x\right)}{5 b (b x)^{2/3}}","\frac{3}{5} x^{5/3} \Gamma (2,a+b x)-\frac{3 a e^{-a} x^{2/3} \Gamma \left(\frac{8}{3},b x\right)}{5 b (b x)^{2/3}}-\frac{3 e^{-a} x^{2/3} \Gamma \left(\frac{11}{3},b x\right)}{5 b (b x)^{2/3}}",1,"(3*x^(5/3)*Gamma[2, a + b*x])/5 - (3*a*x^(2/3)*Gamma[8/3, b*x])/(5*b*E^a*(b*x)^(2/3)) - (3*x^(2/3)*Gamma[11/3, b*x])/(5*b*E^a*(b*x)^(2/3))","A",5,3,13,0.2308,1,"{6565, 2198, 2181}"
175,1,80,0,0.1321326,"\int \sqrt[3]{x} \Gamma (2,a+b x) \, dx","Int[x^(1/3)*Gamma[2, a + b*x],x]","\frac{3}{4} x^{4/3} \Gamma (2,a+b x)-\frac{3 a e^{-a} \sqrt[3]{x} \Gamma \left(\frac{7}{3},b x\right)}{4 b \sqrt[3]{b x}}-\frac{3 e^{-a} \sqrt[3]{x} \Gamma \left(\frac{10}{3},b x\right)}{4 b \sqrt[3]{b x}}","\frac{3}{4} x^{4/3} \Gamma (2,a+b x)-\frac{3 a e^{-a} \sqrt[3]{x} \Gamma \left(\frac{7}{3},b x\right)}{4 b \sqrt[3]{b x}}-\frac{3 e^{-a} \sqrt[3]{x} \Gamma \left(\frac{10}{3},b x\right)}{4 b \sqrt[3]{b x}}",1,"(3*x^(4/3)*Gamma[2, a + b*x])/4 - (3*a*x^(1/3)*Gamma[7/3, b*x])/(4*b*E^a*(b*x)^(1/3)) - (3*x^(1/3)*Gamma[10/3, b*x])/(4*b*E^a*(b*x)^(1/3))","A",5,3,13,0.2308,1,"{6565, 2198, 2181}"
176,1,74,0,0.1252285,"\int \frac{\Gamma (2,a+b x)}{\sqrt[3]{x}} \, dx","Int[Gamma[2, a + b*x]/x^(1/3),x]","-\frac{3 a e^{-a} x^{2/3} \Gamma \left(\frac{5}{3},b x\right)}{2 (b x)^{2/3}}+\frac{3}{2} x^{2/3} \Gamma (2,a+b x)-\frac{3 e^{-a} x^{2/3} \Gamma \left(\frac{8}{3},b x\right)}{2 (b x)^{2/3}}","-\frac{3 a e^{-a} x^{2/3} \Gamma \left(\frac{5}{3},b x\right)}{2 (b x)^{2/3}}+\frac{3}{2} x^{2/3} \Gamma (2,a+b x)-\frac{3 e^{-a} x^{2/3} \Gamma \left(\frac{8}{3},b x\right)}{2 (b x)^{2/3}}",1,"(-3*a*x^(2/3)*Gamma[5/3, b*x])/(2*E^a*(b*x)^(2/3)) + (3*x^(2/3)*Gamma[2, a + b*x])/2 - (3*x^(2/3)*Gamma[8/3, b*x])/(2*E^a*(b*x)^(2/3))","A",5,3,13,0.2308,1,"{6565, 2198, 2181}"
177,1,68,0,0.1188072,"\int \frac{\Gamma (2,a+b x)}{x^{2/3}} \, dx","Int[Gamma[2, a + b*x]/x^(2/3),x]","-\frac{3 a e^{-a} \sqrt[3]{x} \Gamma \left(\frac{4}{3},b x\right)}{\sqrt[3]{b x}}+3 \sqrt[3]{x} \Gamma (2,a+b x)-\frac{3 e^{-a} \sqrt[3]{x} \Gamma \left(\frac{7}{3},b x\right)}{\sqrt[3]{b x}}","-\frac{3 a e^{-a} \sqrt[3]{x} \Gamma \left(\frac{4}{3},b x\right)}{\sqrt[3]{b x}}+3 \sqrt[3]{x} \Gamma (2,a+b x)-\frac{3 e^{-a} \sqrt[3]{x} \Gamma \left(\frac{7}{3},b x\right)}{\sqrt[3]{b x}}",1,"(-3*a*x^(1/3)*Gamma[4/3, b*x])/(E^a*(b*x)^(1/3)) + 3*x^(1/3)*Gamma[2, a + b*x] - (3*x^(1/3)*Gamma[7/3, b*x])/(E^a*(b*x)^(1/3))","A",5,3,13,0.2308,1,"{6565, 2198, 2181}"
178,1,69,0,0.1198237,"\int \frac{\Gamma (2,a+b x)}{x^{4/3}} \, dx","Int[Gamma[2, a + b*x]/x^(4/3),x]","\frac{3 e^{-a} b x^{2/3} \Gamma \left(\frac{5}{3},b x\right)}{(b x)^{2/3}}+\frac{3 a e^{-a} \sqrt[3]{b x} \Gamma \left(\frac{2}{3},b x\right)}{\sqrt[3]{x}}-\frac{3 \Gamma (2,a+b x)}{\sqrt[3]{x}}","\frac{3 e^{-a} b x^{2/3} \Gamma \left(\frac{5}{3},b x\right)}{(b x)^{2/3}}+\frac{3 a e^{-a} \sqrt[3]{b x} \Gamma \left(\frac{2}{3},b x\right)}{\sqrt[3]{x}}-\frac{3 \Gamma (2,a+b x)}{\sqrt[3]{x}}",1,"(3*a*(b*x)^(1/3)*Gamma[2/3, b*x])/(E^a*x^(1/3)) + (3*b*x^(2/3)*Gamma[5/3, b*x])/(E^a*(b*x)^(2/3)) - (3*Gamma[2, a + b*x])/x^(1/3)","A",5,3,13,0.2308,1,"{6565, 2198, 2181}"
179,1,221,0,0.3338361,"\int (c+d x)^m \Gamma (3,a+b x) \, dx","Int[(c + d*x)^m*Gamma[3, a + b*x],x]","-\frac{(b c-a d)^2 e^{\frac{b c}{d}-a} (c+d x)^m \left(\frac{b (c+d x)}{d}\right)^{-m} \Gamma \left(m+2,\frac{b (c+d x)}{d}\right)}{b d^2 (m+1)}+\frac{2 (b c-a d) e^{\frac{b c}{d}-a} (c+d x)^m \left(\frac{b (c+d x)}{d}\right)^{-m} \Gamma \left(m+3,\frac{b (c+d x)}{d}\right)}{b d (m+1)}-\frac{e^{\frac{b c}{d}-a} (c+d x)^m \left(\frac{b (c+d x)}{d}\right)^{-m} \Gamma \left(m+4,\frac{b (c+d x)}{d}\right)}{b (m+1)}+\frac{\Gamma (3,a+b x) (c+d x)^{m+1}}{d (m+1)}","-\frac{(b c-a d)^2 e^{\frac{b c}{d}-a} (c+d x)^m \left(\frac{b (c+d x)}{d}\right)^{-m} \Gamma \left(m+2,\frac{b (c+d x)}{d}\right)}{b d^2 (m+1)}+\frac{2 (b c-a d) e^{\frac{b c}{d}-a} (c+d x)^m \left(\frac{b (c+d x)}{d}\right)^{-m} \Gamma \left(m+3,\frac{b (c+d x)}{d}\right)}{b d (m+1)}-\frac{e^{\frac{b c}{d}-a} (c+d x)^m \left(\frac{b (c+d x)}{d}\right)^{-m} \Gamma \left(m+4,\frac{b (c+d x)}{d}\right)}{b (m+1)}+\frac{\Gamma (3,a+b x) (c+d x)^{m+1}}{d (m+1)}",1,"((c + d*x)^(1 + m)*Gamma[3, a + b*x])/(d*(1 + m)) - ((b*c - a*d)^2*E^(-a + (b*c)/d)*(c + d*x)^m*Gamma[2 + m, (b*(c + d*x))/d])/(b*d^2*(1 + m)*((b*(c + d*x))/d)^m) + (2*(b*c - a*d)*E^(-a + (b*c)/d)*(c + d*x)^m*Gamma[3 + m, (b*(c + d*x))/d])/(b*d*(1 + m)*((b*(c + d*x))/d)^m) - (E^(-a + (b*c)/d)*(c + d*x)^m*Gamma[4 + m, (b*(c + d*x))/d])/(b*(1 + m)*((b*(c + d*x))/d)^m)","A",6,3,15,0.2000,1,"{6565, 2198, 2181}"
180,1,150,0,0.2123835,"\int (c+d x)^m \Gamma (2,a+b x) \, dx","Int[(c + d*x)^m*Gamma[2, a + b*x],x]","\frac{(b c-a d) e^{\frac{b c}{d}-a} (c+d x)^m \left(\frac{b (c+d x)}{d}\right)^{-m} \Gamma \left(m+2,\frac{b (c+d x)}{d}\right)}{b d (m+1)}-\frac{e^{\frac{b c}{d}-a} (c+d x)^m \left(\frac{b (c+d x)}{d}\right)^{-m} \Gamma \left(m+3,\frac{b (c+d x)}{d}\right)}{b (m+1)}+\frac{\Gamma (2,a+b x) (c+d x)^{m+1}}{d (m+1)}","\frac{(b c-a d) e^{\frac{b c}{d}-a} (c+d x)^m \left(\frac{b (c+d x)}{d}\right)^{-m} \Gamma \left(m+2,\frac{b (c+d x)}{d}\right)}{b d (m+1)}-\frac{e^{\frac{b c}{d}-a} (c+d x)^m \left(\frac{b (c+d x)}{d}\right)^{-m} \Gamma \left(m+3,\frac{b (c+d x)}{d}\right)}{b (m+1)}+\frac{\Gamma (2,a+b x) (c+d x)^{m+1}}{d (m+1)}",1,"((c + d*x)^(1 + m)*Gamma[2, a + b*x])/(d*(1 + m)) + ((b*c - a*d)*E^(-a + (b*c)/d)*(c + d*x)^m*Gamma[2 + m, (b*(c + d*x))/d])/(b*d*(1 + m)*((b*(c + d*x))/d)^m) - (E^(-a + (b*c)/d)*(c + d*x)^m*Gamma[3 + m, (b*(c + d*x))/d])/(b*(1 + m)*((b*(c + d*x))/d)^m)","A",5,3,15,0.2000,1,"{6565, 2198, 2181}"
181,1,52,0,0.0310829,"\int e^{-a-b x} (c+d x)^m \, dx","Int[E^(-a - b*x)*(c + d*x)^m,x]","-\frac{e^{\frac{b c}{d}-a} (c+d x)^m \left(\frac{b (c+d x)}{d}\right)^{-m} \Gamma \left(m+1,\frac{b (c+d x)}{d}\right)}{b}","-\frac{e^{\frac{b c}{d}-a} (c+d x)^m \left(\frac{b (c+d x)}{d}\right)^{-m} \Gamma \left(m+1,\frac{b (c+d x)}{d}\right)}{b}",1,"-((E^(-a + (b*c)/d)*(c + d*x)^m*Gamma[1 + m, (b*(c + d*x))/d])/(b*((b*(c + d*x))/d)^m))","A",1,1,18,0.05556,1,"{2181}"
182,0,0,0,0.0277239,"\int (c+d x)^m \Gamma (0,a+b x) \, dx","Int[(c + d*x)^m*Gamma[0, a + b*x],x]","\int (c+d x)^m \Gamma (0,a+b x) \, dx","\text{Int}\left(\Gamma (0,a+b x) (c+d x)^m,x\right)",0,"Defer[Int][(c + d*x)^m*Gamma[0, a + b*x], x]","N/A",0,0,0,0,-1,"{}"
183,0,0,0,0.0221937,"\int (c+d x)^m \Gamma (-1,a+b x) \, dx","Int[(c + d*x)^m*Gamma[-1, a + b*x],x]","\int (c+d x)^m \Gamma (-1,a+b x) \, dx","\text{Int}\left(\Gamma (-1,a+b x) (c+d x)^m,x\right)",0,"Defer[Int][(c + d*x)^m*Gamma[-1, a + b*x], x]","N/A",0,0,0,0,-1,"{}"
184,0,0,0,0.0140965,"\int (c+d x)^m \Gamma (-2,a+b x) \, dx","Int[(c + d*x)^m*Gamma[-2, a + b*x],x]","\int (c+d x)^m \Gamma (-2,a+b x) \, dx","\text{Int}\left(\Gamma (-2,a+b x) (c+d x)^m,x\right)",0,"Defer[Int][(c + d*x)^m*Gamma[-2, a + b*x], x]","N/A",0,0,0,0,-1,"{}"
185,0,0,0,0.0144944,"\int (c+d x)^m \Gamma (-3,a+b x) \, dx","Int[(c + d*x)^m*Gamma[-3, a + b*x],x]","\int (c+d x)^m \Gamma (-3,a+b x) \, dx","\text{Int}\left(\Gamma (-3,a+b x) (c+d x)^m,x\right)",0,"Defer[Int][(c + d*x)^m*Gamma[-3, a + b*x], x]","N/A",0,0,0,0,-1,"{}"
186,0,0,0,0.0123495,"\int x^m \Gamma (n,a+b x) \, dx","Int[x^m*Gamma[n, a + b*x],x]","\int x^m \Gamma (n,a+b x) \, dx","\text{Int}\left(x^m \Gamma (n,a+b x),x\right)",0,"Defer[Int][x^m*Gamma[n, a + b*x], x]","N/A",0,0,0,0,-1,"{}"
187,0,0,0,0.0145859,"\int (c+d x)^m \Gamma (n,a+b x) \, dx","Int[(c + d*x)^m*Gamma[n, a + b*x],x]","\int (c+d x)^m \Gamma (n,a+b x) \, dx","\text{Int}\left((c+d x)^m \Gamma (n,a+b x),x\right)",0,"Defer[Int][(c + d*x)^m*Gamma[n, a + b*x], x]","N/A",0,0,0,0,-1,"{}"
188,1,169,0,0.4530506,"\int (c+d x)^4 \Gamma (n,a+b x) \, dx","Int[(c + d*x)^4*Gamma[n, a + b*x],x]","-\frac{d^3 (b c-a d) \Gamma (n+4,a+b x)}{b^5}-\frac{2 d^2 (b c-a d)^2 \Gamma (n+3,a+b x)}{b^5}-\frac{(b c-a d)^5 \Gamma (n,a+b x)}{5 b^5 d}-\frac{(b c-a d)^4 \Gamma (n+1,a+b x)}{b^5}-\frac{2 d (b c-a d)^3 \Gamma (n+2,a+b x)}{b^5}-\frac{d^4 \Gamma (n+5,a+b x)}{5 b^5}+\frac{(c+d x)^5 \Gamma (n,a+b x)}{5 d}","-\frac{d^3 (b c-a d) \Gamma (n+4,a+b x)}{b^5}-\frac{2 d^2 (b c-a d)^2 \Gamma (n+3,a+b x)}{b^5}-\frac{(b c-a d)^5 \Gamma (n,a+b x)}{5 b^5 d}-\frac{(b c-a d)^4 \Gamma (n+1,a+b x)}{b^5}-\frac{2 d (b c-a d)^3 \Gamma (n+2,a+b x)}{b^5}-\frac{d^4 \Gamma (n+5,a+b x)}{5 b^5}+\frac{(c+d x)^5 \Gamma (n,a+b x)}{5 d}",1,"-((b*c - a*d)^5*Gamma[n, a + b*x])/(5*b^5*d) + ((c + d*x)^5*Gamma[n, a + b*x])/(5*d) - ((b*c - a*d)^4*Gamma[1 + n, a + b*x])/b^5 - (2*d*(b*c - a*d)^3*Gamma[2 + n, a + b*x])/b^5 - (2*d^2*(b*c - a*d)^2*Gamma[3 + n, a + b*x])/b^5 - (d^3*(b*c - a*d)*Gamma[4 + n, a + b*x])/b^5 - (d^4*Gamma[5 + n, a + b*x])/(5*b^5)","A",9,3,15,0.2000,1,"{6565, 2198, 2181}"
189,1,144,0,0.3788334,"\int (c+d x)^3 \Gamma (n,a+b x) \, dx","Int[(c + d*x)^3*Gamma[n, a + b*x],x]","-\frac{d^2 (b c-a d) \Gamma (n+3,a+b x)}{b^4}-\frac{(b c-a d)^4 \Gamma (n,a+b x)}{4 b^4 d}-\frac{(b c-a d)^3 \Gamma (n+1,a+b x)}{b^4}-\frac{3 d (b c-a d)^2 \Gamma (n+2,a+b x)}{2 b^4}-\frac{d^3 \Gamma (n+4,a+b x)}{4 b^4}+\frac{(c+d x)^4 \Gamma (n,a+b x)}{4 d}","-\frac{d^2 (b c-a d) \Gamma (n+3,a+b x)}{b^4}-\frac{(b c-a d)^4 \Gamma (n,a+b x)}{4 b^4 d}-\frac{(b c-a d)^3 \Gamma (n+1,a+b x)}{b^4}-\frac{3 d (b c-a d)^2 \Gamma (n+2,a+b x)}{2 b^4}-\frac{d^3 \Gamma (n+4,a+b x)}{4 b^4}+\frac{(c+d x)^4 \Gamma (n,a+b x)}{4 d}",1,"-((b*c - a*d)^4*Gamma[n, a + b*x])/(4*b^4*d) + ((c + d*x)^4*Gamma[n, a + b*x])/(4*d) - ((b*c - a*d)^3*Gamma[1 + n, a + b*x])/b^4 - (3*d*(b*c - a*d)^2*Gamma[2 + n, a + b*x])/(2*b^4) - (d^2*(b*c - a*d)*Gamma[3 + n, a + b*x])/b^4 - (d^3*Gamma[4 + n, a + b*x])/(4*b^4)","A",8,3,15,0.2000,1,"{6565, 2198, 2181}"
190,1,115,0,0.3282978,"\int (c+d x)^2 \Gamma (n,a+b x) \, dx","Int[(c + d*x)^2*Gamma[n, a + b*x],x]","-\frac{(b c-a d)^3 \Gamma (n,a+b x)}{3 b^3 d}-\frac{(b c-a d)^2 \Gamma (n+1,a+b x)}{b^3}-\frac{d (b c-a d) \Gamma (n+2,a+b x)}{b^3}-\frac{d^2 \Gamma (n+3,a+b x)}{3 b^3}+\frac{(c+d x)^3 \Gamma (n,a+b x)}{3 d}","-\frac{(b c-a d)^3 \Gamma (n,a+b x)}{3 b^3 d}-\frac{(b c-a d)^2 \Gamma (n+1,a+b x)}{b^3}-\frac{d (b c-a d) \Gamma (n+2,a+b x)}{b^3}-\frac{d^2 \Gamma (n+3,a+b x)}{3 b^3}+\frac{(c+d x)^3 \Gamma (n,a+b x)}{3 d}",1,"-((b*c - a*d)^3*Gamma[n, a + b*x])/(3*b^3*d) + ((c + d*x)^3*Gamma[n, a + b*x])/(3*d) - ((b*c - a*d)^2*Gamma[1 + n, a + b*x])/b^3 - (d*(b*c - a*d)*Gamma[2 + n, a + b*x])/b^3 - (d^2*Gamma[3 + n, a + b*x])/(3*b^3)","A",7,3,15,0.2000,1,"{6565, 2198, 2181}"
191,1,88,0,0.2482591,"\int (c+d x) \Gamma (n,a+b x) \, dx","Int[(c + d*x)*Gamma[n, a + b*x],x]","-\frac{(b c-a d)^2 \Gamma (n,a+b x)}{2 b^2 d}-\frac{(b c-a d) \Gamma (n+1,a+b x)}{b^2}-\frac{d \Gamma (n+2,a+b x)}{2 b^2}+\frac{(c+d x)^2 \Gamma (n,a+b x)}{2 d}","-\frac{(b c-a d)^2 \Gamma (n,a+b x)}{2 b^2 d}-\frac{(b c-a d) \Gamma (n+1,a+b x)}{b^2}-\frac{d \Gamma (n+2,a+b x)}{2 b^2}+\frac{(c+d x)^2 \Gamma (n,a+b x)}{2 d}",1,"-((b*c - a*d)^2*Gamma[n, a + b*x])/(2*b^2*d) + ((c + d*x)^2*Gamma[n, a + b*x])/(2*d) - ((b*c - a*d)*Gamma[1 + n, a + b*x])/b^2 - (d*Gamma[2 + n, a + b*x])/(2*b^2)","A",6,3,13,0.2308,1,"{6565, 2198, 2181}"
192,1,31,0,0.0059473,"\int \Gamma (n,a+b x) \, dx","Int[Gamma[n, a + b*x],x]","\frac{(a+b x) \Gamma (n,a+b x)}{b}-\frac{\Gamma (n+1,a+b x)}{b}","\frac{(a+b x) \Gamma (n,a+b x)}{b}-\frac{\Gamma (n+1,a+b x)}{b}",1,"((a + b*x)*Gamma[n, a + b*x])/b - Gamma[1 + n, a + b*x]/b","A",1,1,7,0.1429,1,"{6557}"
193,0,0,0,0.0150425,"\int \frac{\Gamma (n,a+b x)}{c+d x} \, dx","Int[Gamma[n, a + b*x]/(c + d*x),x]","\int \frac{\Gamma (n,a+b x)}{c+d x} \, dx","\text{Int}\left(\frac{\Gamma (n,a+b x)}{c+d x},x\right)",0,"Defer[Int][Gamma[n, a + b*x]/(c + d*x), x]","N/A",0,0,0,0,-1,"{}"
194,0,0,0,0.0145477,"\int \frac{\Gamma (n,a+b x)}{(c+d x)^2} \, dx","Int[Gamma[n, a + b*x]/(c + d*x)^2,x]","\int \frac{\Gamma (n,a+b x)}{(c+d x)^2} \, dx","\text{Int}\left(\frac{\Gamma (n,a+b x)}{(c+d x)^2},x\right)",0,"Defer[Int][Gamma[n, a + b*x]/(c + d*x)^2, x]","N/A",0,0,0,0,-1,"{}"
195,0,0,0,0.0146053,"\int \frac{\Gamma (n,a+b x)}{(c+d x)^3} \, dx","Int[Gamma[n, a + b*x]/(c + d*x)^3,x]","\int \frac{\Gamma (n,a+b x)}{(c+d x)^3} \, dx","\text{Int}\left(\frac{\Gamma (n,a+b x)}{(c+d x)^3},x\right)",0,"Defer[Int][Gamma[n, a + b*x]/(c + d*x)^3, x]","N/A",0,0,0,0,-1,"{}"
196,1,121,0,0.3916757,"\int x^2 \Gamma \left(p,d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[x^2*Gamma[p, d*(a + b*Log[c*x^n])],x]","\frac{1}{3} x^3 \Gamma \left(p,d \left(a+b \log \left(c x^n\right)\right)\right)-\frac{1}{3} x^3 e^{-\frac{3 a}{b n}} \left(c x^n\right)^{-3/n} \left(d \left(a+b \log \left(c x^n\right)\right)\right)^p \left(-\frac{(3-b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)^{-p} \Gamma \left(p,-\frac{(3-b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)","\frac{1}{3} x^3 \Gamma \left(p,d \left(a+b \log \left(c x^n\right)\right)\right)-\frac{1}{3} x^3 e^{-\frac{3 a}{b n}} \left(c x^n\right)^{-3/n} \left(d \left(a+b \log \left(c x^n\right)\right)\right)^p \left(-\frac{(3-b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)^{-p} \Gamma \left(p,-\frac{(3-b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)",1,"(x^3*Gamma[p, d*(a + b*Log[c*x^n])])/3 - (x^3*Gamma[p, -(((3 - b*d*n)*(a + b*Log[c*x^n]))/(b*n))]*(d*(a + b*Log[c*x^n]))^p)/(3*E^((3*a)/(b*n))*(c*x^n)^(3/n)*(-(((3 - b*d*n)*(a + b*Log[c*x^n]))/(b*n)))^p)","A",4,4,18,0.2222,1,"{6578, 6720, 2310, 2181}"
197,1,121,0,0.3124819,"\int x \Gamma \left(p,d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[x*Gamma[p, d*(a + b*Log[c*x^n])],x]","\frac{1}{2} x^2 \Gamma \left(p,d \left(a+b \log \left(c x^n\right)\right)\right)-\frac{1}{2} x^2 e^{-\frac{2 a}{b n}} \left(c x^n\right)^{-2/n} \left(d \left(a+b \log \left(c x^n\right)\right)\right)^p \left(-\frac{(2-b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)^{-p} \Gamma \left(p,-\frac{(2-b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)","\frac{1}{2} x^2 \Gamma \left(p,d \left(a+b \log \left(c x^n\right)\right)\right)-\frac{1}{2} x^2 e^{-\frac{2 a}{b n}} \left(c x^n\right)^{-2/n} \left(d \left(a+b \log \left(c x^n\right)\right)\right)^p \left(-\frac{(2-b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)^{-p} \Gamma \left(p,-\frac{(2-b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)",1,"(x^2*Gamma[p, d*(a + b*Log[c*x^n])])/2 - (x^2*Gamma[p, -(((2 - b*d*n)*(a + b*Log[c*x^n]))/(b*n))]*(d*(a + b*Log[c*x^n]))^p)/(2*E^((2*a)/(b*n))*(c*x^n)^(2/n)*(-(((2 - b*d*n)*(a + b*Log[c*x^n]))/(b*n)))^p)","A",4,4,16,0.2500,1,"{6578, 6720, 2310, 2181}"
198,1,112,0,0.3153918,"\int \Gamma \left(p,d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[Gamma[p, d*(a + b*Log[c*x^n])],x]","x \Gamma \left(p,d \left(a+b \log \left(c x^n\right)\right)\right)-x e^{-\frac{a}{b n}} \left(c x^n\right)^{-1/n} \left(d \left(a+b \log \left(c x^n\right)\right)\right)^p \left(-\frac{(1-b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)^{-p} \Gamma \left(p,-\frac{(1-b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)","x \Gamma \left(p,d \left(a+b \log \left(c x^n\right)\right)\right)-x e^{-\frac{a}{b n}} \left(c x^n\right)^{-1/n} \left(d \left(a+b \log \left(c x^n\right)\right)\right)^p \left(-\frac{(1-b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)^{-p} \Gamma \left(p,-\frac{(1-b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)",1,"x*Gamma[p, d*(a + b*Log[c*x^n])] - (x*Gamma[p, -(((1 - b*d*n)*(a + b*Log[c*x^n]))/(b*n))]*(d*(a + b*Log[c*x^n]))^p)/(E^(a/(b*n))*(c*x^n)^n^(-1)*(-(((1 - b*d*n)*(a + b*Log[c*x^n]))/(b*n)))^p)","A",5,5,14,0.3571,1,"{6576, 15, 6720, 2310, 2181}"
199,1,61,0,0.0383094,"\int \frac{\Gamma \left(p,d \left(a+b \log \left(c x^n\right)\right)\right)}{x} \, dx","Int[Gamma[p, d*(a + b*Log[c*x^n])]/x,x]","\frac{\left(a+b \log \left(c x^n\right)\right) \Gamma \left(p,a d+b \log \left(c x^n\right) d\right)}{b n}-\frac{\Gamma \left(p+1,a d+b \log \left(c x^n\right) d\right)}{b d n}","\frac{\left(a+b \log \left(c x^n\right)\right) \Gamma \left(p,a d+b \log \left(c x^n\right) d\right)}{b n}-\frac{\Gamma \left(p+1,a d+b \log \left(c x^n\right) d\right)}{b d n}",1,"-(Gamma[1 + p, a*d + b*d*Log[c*x^n]]/(b*d*n)) + (Gamma[p, a*d + b*d*Log[c*x^n]]*(a + b*Log[c*x^n]))/(b*n)","A",3,1,18,0.05556,1,"{6557}"
200,1,109,0,0.378281,"\int \frac{\Gamma \left(p,d \left(a+b \log \left(c x^n\right)\right)\right)}{x^2} \, dx","Int[Gamma[p, d*(a + b*Log[c*x^n])]/x^2,x]","\frac{e^{\frac{a}{b n}} \left(c x^n\right)^{\frac{1}{n}} \left(d \left(a+b \log \left(c x^n\right)\right)\right)^p \left(\frac{(b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)^{-p} \Gamma \left(p,\frac{(b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{x}-\frac{\Gamma \left(p,d \left(a+b \log \left(c x^n\right)\right)\right)}{x}","\frac{e^{\frac{a}{b n}} \left(c x^n\right)^{\frac{1}{n}} \left(d \left(a+b \log \left(c x^n\right)\right)\right)^p \left(\frac{(b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)^{-p} \Gamma \left(p,\frac{(b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{x}-\frac{\Gamma \left(p,d \left(a+b \log \left(c x^n\right)\right)\right)}{x}",1,"-(Gamma[p, d*(a + b*Log[c*x^n])]/x) + (E^(a/(b*n))*(c*x^n)^n^(-1)*Gamma[p, ((1 + b*d*n)*(a + b*Log[c*x^n]))/(b*n)]*(d*(a + b*Log[c*x^n]))^p)/(x*(((1 + b*d*n)*(a + b*Log[c*x^n]))/(b*n))^p)","A",4,4,18,0.2222,1,"{6578, 6720, 2310, 2181}"
201,1,117,0,0.3311798,"\int \frac{\Gamma \left(p,d \left(a+b \log \left(c x^n\right)\right)\right)}{x^3} \, dx","Int[Gamma[p, d*(a + b*Log[c*x^n])]/x^3,x]","\frac{e^{\frac{2 a}{b n}} \left(c x^n\right)^{2/n} \left(d \left(a+b \log \left(c x^n\right)\right)\right)^p \left(\frac{(b d n+2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)^{-p} \Gamma \left(p,\frac{(b d n+2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 x^2}-\frac{\Gamma \left(p,d \left(a+b \log \left(c x^n\right)\right)\right)}{2 x^2}","\frac{e^{\frac{2 a}{b n}} \left(c x^n\right)^{2/n} \left(d \left(a+b \log \left(c x^n\right)\right)\right)^p \left(\frac{(b d n+2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)^{-p} \Gamma \left(p,\frac{(b d n+2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 x^2}-\frac{\Gamma \left(p,d \left(a+b \log \left(c x^n\right)\right)\right)}{2 x^2}",1,"-Gamma[p, d*(a + b*Log[c*x^n])]/(2*x^2) + (E^((2*a)/(b*n))*(c*x^n)^(2/n)*Gamma[p, ((2 + b*d*n)*(a + b*Log[c*x^n]))/(b*n)]*(d*(a + b*Log[c*x^n]))^p)/(2*x^2*(((2 + b*d*n)*(a + b*Log[c*x^n]))/(b*n))^p)","A",4,4,18,0.2222,1,"{6578, 6720, 2310, 2181}"
202,1,148,0,0.4292138,"\int (e x)^m \Gamma \left(p,d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[(e*x)^m*Gamma[p, d*(a + b*Log[c*x^n])],x]","\frac{(e x)^{m+1} \Gamma \left(p,d \left(a+b \log \left(c x^n\right)\right)\right)}{e (m+1)}-\frac{(e x)^{m+1} e^{-\frac{a (m+1)}{b n}} \left(c x^n\right)^{-\frac{m+1}{n}} \left(d \left(a+b \log \left(c x^n\right)\right)\right)^p \left(-\frac{(-b d n+m+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)^{-p} \Gamma \left(p,-\frac{(m-b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{e (m+1)}","\frac{(e x)^{m+1} \Gamma \left(p,d \left(a+b \log \left(c x^n\right)\right)\right)}{e (m+1)}-\frac{(e x)^{m+1} e^{-\frac{a (m+1)}{b n}} \left(c x^n\right)^{-\frac{m+1}{n}} \left(d \left(a+b \log \left(c x^n\right)\right)\right)^p \left(-\frac{(-b d n+m+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)^{-p} \Gamma \left(p,-\frac{(m-b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{e (m+1)}",1,"((e*x)^(1 + m)*Gamma[p, d*(a + b*Log[c*x^n])])/(e*(1 + m)) - ((e*x)^(1 + m)*Gamma[p, -(((1 + m - b*d*n)*(a + b*Log[c*x^n]))/(b*n))]*(d*(a + b*Log[c*x^n]))^p)/(e*E^((a*(1 + m))/(b*n))*(1 + m)*(c*x^n)^((1 + m)/n)*(-(((1 + m - b*d*n)*(a + b*Log[c*x^n]))/(b*n)))^p)","A",4,4,20,0.2000,1,"{6578, 6720, 2310, 2181}"
203,1,74,0,0.072258,"\int (c+d x)^3 \text{log$\Gamma $}(a+b x) \, dx","Int[(c + d*x)^3*LogGamma[a + b*x],x]","-\frac{6 d^3 \psi ^{(-5)}(a+b x)}{b^4}+\frac{6 d^2 (c+d x) \psi ^{(-4)}(a+b x)}{b^3}-\frac{3 d (c+d x)^2 \psi ^{(-3)}(a+b x)}{b^2}+\frac{(c+d x)^3 \psi ^{(-2)}(a+b x)}{b}","-\frac{6 d^3 \psi ^{(-5)}(a+b x)}{b^4}+\frac{6 d^2 (c+d x) \psi ^{(-4)}(a+b x)}{b^3}-\frac{3 d (c+d x)^2 \psi ^{(-3)}(a+b x)}{b^2}+\frac{(c+d x)^3 \psi ^{(-2)}(a+b x)}{b}",1,"(-6*d^3*PolyGamma[-5, a + b*x])/b^4 + (6*d^2*(c + d*x)*PolyGamma[-4, a + b*x])/b^3 - (3*d*(c + d*x)^2*PolyGamma[-3, a + b*x])/b^2 + ((c + d*x)^3*PolyGamma[-2, a + b*x])/b","A",4,3,14,0.2143,1,"{6568, 6571, 6570}"
204,1,52,0,0.0597009,"\int (c+d x)^2 \text{log$\Gamma $}(a+b x) \, dx","Int[(c + d*x)^2*LogGamma[a + b*x],x]","\frac{2 d^2 \psi ^{(-4)}(a+b x)}{b^3}-\frac{2 d (c+d x) \psi ^{(-3)}(a+b x)}{b^2}+\frac{(c+d x)^2 \psi ^{(-2)}(a+b x)}{b}","\frac{2 d^2 \psi ^{(-4)}(a+b x)}{b^3}-\frac{2 d (c+d x) \psi ^{(-3)}(a+b x)}{b^2}+\frac{(c+d x)^2 \psi ^{(-2)}(a+b x)}{b}",1,"(2*d^2*PolyGamma[-4, a + b*x])/b^3 - (2*d*(c + d*x)*PolyGamma[-3, a + b*x])/b^2 + ((c + d*x)^2*PolyGamma[-2, a + b*x])/b","A",3,3,14,0.2143,1,"{6568, 6571, 6570}"
205,1,30,0,0.0170337,"\int (c+d x) \text{log$\Gamma $}(a+b x) \, dx","Int[(c + d*x)*LogGamma[a + b*x],x]","\frac{(c+d x) \psi ^{(-2)}(a+b x)}{b}-\frac{d \psi ^{(-3)}(a+b x)}{b^2}","\frac{(c+d x) \psi ^{(-2)}(a+b x)}{b}-\frac{d \psi ^{(-3)}(a+b x)}{b^2}",1,"-((d*PolyGamma[-3, a + b*x])/b^2) + ((c + d*x)*PolyGamma[-2, a + b*x])/b","A",2,2,12,0.1667,1,"{6568, 6570}"
206,1,11,0,0.0038814,"\int \text{log$\Gamma $}(a+b x) \, dx","Int[LogGamma[a + b*x],x]","\frac{\psi ^{(-2)}(a+b x)}{b}","\frac{\psi ^{(-2)}(a+b x)}{b}",1,"PolyGamma[-2, a + b*x]/b","A",1,1,6,0.1667,1,"{6567}"
207,0,0,0,0.0147234,"\int \frac{\text{log$\Gamma $}(a+b x)}{c+d x} \, dx","Int[LogGamma[a + b*x]/(c + d*x),x]","\int \frac{\text{log$\Gamma $}(a+b x)}{c+d x} \, dx","\text{Int}\left(\frac{\text{log$\Gamma $}(a+b x)}{c+d x},x\right)",0,"Defer[Int][LogGamma[a + b*x]/(c + d*x), x]","N/A",0,0,0,0,-1,"{}"
208,0,0,0,0.0209091,"\int \frac{\text{log$\Gamma $}(a+b x)}{(c+d x)^2} \, dx","Int[LogGamma[a + b*x]/(c + d*x)^2,x]","\int \frac{\text{log$\Gamma $}(a+b x)}{(c+d x)^2} \, dx","\text{Int}\left(\frac{\text{log$\Gamma $}(a+b x)}{(c+d x)^2},x\right)",0,"Defer[Int][LogGamma[a + b*x]/(c + d*x)^2, x]","N/A",0,0,0,0,-1,"{}"
209,0,0,0,0.02367,"\int (c+d x)^{3/2} \text{log$\Gamma $}(a+b x) \, dx","Int[(c + d*x)^(3/2)*LogGamma[a + b*x],x]","\int (c+d x)^{3/2} \text{log$\Gamma $}(a+b x) \, dx","\text{Int}\left((c+d x)^{3/2} \text{log$\Gamma $}(a+b x),x\right)",0,"Defer[Int][(c + d*x)^(3/2)*LogGamma[a + b*x], x]","N/A",0,0,0,0,-1,"{}"
210,0,0,0,0.0200726,"\int \sqrt{c+d x} \text{log$\Gamma $}(a+b x) \, dx","Int[Sqrt[c + d*x]*LogGamma[a + b*x],x]","\int \sqrt{c+d x} \text{log$\Gamma $}(a+b x) \, dx","\text{Int}\left(\sqrt{c+d x} \text{log$\Gamma $}(a+b x),x\right)",0,"Defer[Int][Sqrt[c + d*x]*LogGamma[a + b*x], x]","N/A",0,0,0,0,-1,"{}"
211,0,0,0,0.0223229,"\int \frac{\text{log$\Gamma $}(a+b x)}{\sqrt{c+d x}} \, dx","Int[LogGamma[a + b*x]/Sqrt[c + d*x],x]","\int \frac{\text{log$\Gamma $}(a+b x)}{\sqrt{c+d x}} \, dx","\text{Int}\left(\frac{\text{log$\Gamma $}(a+b x)}{\sqrt{c+d x}},x\right)",0,"Defer[Int][LogGamma[a + b*x]/Sqrt[c + d*x], x]","N/A",0,0,0,0,-1,"{}"
212,1,93,0,0.1432003,"\int (c+d x)^2 \log (\Gamma (a+b x)) \, dx","Int[(c + d*x)^2*Log[Gamma[a + b*x]],x]","\frac{2 d^2 \psi ^{(-4)}(a+b x)}{b^3}-\frac{2 d (c+d x) \psi ^{(-3)}(a+b x)}{b^2}-\frac{(c+d x)^3 \text{log$\Gamma $}(a+b x)}{3 d}+\frac{(c+d x)^2 \psi ^{(-2)}(a+b x)}{b}+\frac{(c+d x)^3 \log (\Gamma (a+b x))}{3 d}","\frac{2 d^2 \psi ^{(-4)}(a+b x)}{b^3}-\frac{2 d (c+d x) \psi ^{(-3)}(a+b x)}{b^2}-\frac{(c+d x)^3 \text{log$\Gamma $}(a+b x)}{3 d}+\frac{(c+d x)^2 \psi ^{(-2)}(a+b x)}{b}+\frac{(c+d x)^3 \log (\Gamma (a+b x))}{3 d}",1,"((c + d*x)^3*Log[Gamma[a + b*x]])/(3*d) - ((c + d*x)^3*LogGamma[a + b*x])/(3*d) + (2*d^2*PolyGamma[-4, a + b*x])/b^3 - (2*d*(c + d*x)*PolyGamma[-3, a + b*x])/b^2 + ((c + d*x)^2*PolyGamma[-2, a + b*x])/b","A",6,5,15,0.3333,1,"{2551, 12, 6571, 6568, 6570}"
213,1,71,0,0.0619829,"\int (c+d x) \log (\Gamma (a+b x)) \, dx","Int[(c + d*x)*Log[Gamma[a + b*x]],x]","-\frac{d \psi ^{(-3)}(a+b x)}{b^2}-\frac{(c+d x)^2 \text{log$\Gamma $}(a+b x)}{2 d}+\frac{(c+d x) \psi ^{(-2)}(a+b x)}{b}+\frac{(c+d x)^2 \log (\Gamma (a+b x))}{2 d}","-\frac{d \psi ^{(-3)}(a+b x)}{b^2}-\frac{(c+d x)^2 \text{log$\Gamma $}(a+b x)}{2 d}+\frac{(c+d x) \psi ^{(-2)}(a+b x)}{b}+\frac{(c+d x)^2 \log (\Gamma (a+b x))}{2 d}",1,"((c + d*x)^2*Log[Gamma[a + b*x]])/(2*d) - ((c + d*x)^2*LogGamma[a + b*x])/(2*d) - (d*PolyGamma[-3, a + b*x])/b^2 + ((c + d*x)*PolyGamma[-2, a + b*x])/b","A",5,5,13,0.3846,1,"{2551, 12, 6571, 6568, 6570}"
214,1,30,0,0.0277172,"\int \log (\Gamma (a+b x)) \, dx","Int[Log[Gamma[a + b*x]],x]","-x \text{log$\Gamma $}(a+b x)+\frac{\psi ^{(-2)}(a+b x)}{b}+x \log (\Gamma (a+b x))","-x \text{log$\Gamma $}(a+b x)+\frac{\psi ^{(-2)}(a+b x)}{b}+x \log (\Gamma (a+b x))",1,"x*Log[Gamma[a + b*x]] - x*LogGamma[a + b*x] + PolyGamma[-2, a + b*x]/b","A",4,4,7,0.5714,1,"{2548, 12, 6571, 6567}"
215,0,0,0,0.0444358,"\int \frac{\log (\Gamma (a+b x))}{c+d x} \, dx","Int[Log[Gamma[a + b*x]]/(c + d*x),x]","\int \frac{\log (\Gamma (a+b x))}{c+d x} \, dx","\text{Int}\left(\frac{\text{log$\Gamma $}(a+b x)}{c+d x},x\right)+\frac{\log (c+d x) (\log (\Gamma (a+b x))-\text{log$\Gamma $}(a+b x))}{d}",0,"(Log[c + d*x]*(Log[Gamma[a + b*x]] - LogGamma[a + b*x]))/d + Defer[Int][LogGamma[a + b*x]/(c + d*x), x]","N/A",0,0,0,0,-1,"{}"
216,0,0,0,0.0641262,"\int \frac{\log (\Gamma (a+b x))}{(c+d x)^2} \, dx","Int[Log[Gamma[a + b*x]]/(c + d*x)^2,x]","\int \frac{\log (\Gamma (a+b x))}{(c+d x)^2} \, dx","\frac{b \text{Int}\left(\frac{\psi ^{(0)}(a+b x)}{c+d x},x\right)}{d}-\frac{\log (\Gamma (a+b x))}{d (c+d x)}",0,"-(Log[Gamma[a + b*x]]/(d*(c + d*x))) + (b*Defer[Int][PolyGamma[0, a + b*x]/(c + d*x), x])/d","N/A",0,0,0,0,-1,"{}"
217,0,0,0,0.0634402,"\int (c+d x)^m \psi ^{(n)}(a+b x) \, dx","Int[(c + d*x)^m*PolyGamma[n, a + b*x],x]","\int (c+d x)^m \psi ^{(n)}(a+b x) \, dx","\text{Int}\left((c+d x)^m \psi ^{(n)}(a+b x),x\right)",0,"Defer[Int][(c + d*x)^m*PolyGamma[n, a + b*x], x]","N/A",0,0,0,0,-1,"{}"
218,1,82,0,0.0700546,"\int (c+d x)^3 \psi ^{(n)}(a+b x) \, dx","Int[(c + d*x)^3*PolyGamma[n, a + b*x],x]","-\frac{6 d^3 \psi ^{(n-4)}(a+b x)}{b^4}+\frac{6 d^2 (c+d x) \psi ^{(n-3)}(a+b x)}{b^3}-\frac{3 d (c+d x)^2 \psi ^{(n-2)}(a+b x)}{b^2}+\frac{(c+d x)^3 \psi ^{(n-1)}(a+b x)}{b}","-\frac{6 d^3 \psi ^{(n-4)}(a+b x)}{b^4}+\frac{6 d^2 (c+d x) \psi ^{(n-3)}(a+b x)}{b^3}-\frac{3 d (c+d x)^2 \psi ^{(n-2)}(a+b x)}{b^2}+\frac{(c+d x)^3 \psi ^{(n-1)}(a+b x)}{b}",1,"(-6*d^3*PolyGamma[-4 + n, a + b*x])/b^4 + (6*d^2*(c + d*x)*PolyGamma[-3 + n, a + b*x])/b^3 - (3*d*(c + d*x)^2*PolyGamma[-2 + n, a + b*x])/b^2 + ((c + d*x)^3*PolyGamma[-1 + n, a + b*x])/b","A",4,2,15,0.1333,1,"{6571, 6570}"
219,1,58,0,0.0540669,"\int (c+d x)^2 \psi ^{(n)}(a+b x) \, dx","Int[(c + d*x)^2*PolyGamma[n, a + b*x],x]","\frac{2 d^2 \psi ^{(n-3)}(a+b x)}{b^3}-\frac{2 d (c+d x) \psi ^{(n-2)}(a+b x)}{b^2}+\frac{(c+d x)^2 \psi ^{(n-1)}(a+b x)}{b}","\frac{2 d^2 \psi ^{(n-3)}(a+b x)}{b^3}-\frac{2 d (c+d x) \psi ^{(n-2)}(a+b x)}{b^2}+\frac{(c+d x)^2 \psi ^{(n-1)}(a+b x)}{b}",1,"(2*d^2*PolyGamma[-3 + n, a + b*x])/b^3 - (2*d*(c + d*x)*PolyGamma[-2 + n, a + b*x])/b^2 + ((c + d*x)^2*PolyGamma[-1 + n, a + b*x])/b","A",3,2,15,0.1333,1,"{6571, 6570}"
220,1,34,0,0.0192661,"\int (c+d x) \psi ^{(n)}(a+b x) \, dx","Int[(c + d*x)*PolyGamma[n, a + b*x],x]","\frac{(c+d x) \psi ^{(n-1)}(a+b x)}{b}-\frac{d \psi ^{(n-2)}(a+b x)}{b^2}","\frac{(c+d x) \psi ^{(n-1)}(a+b x)}{b}-\frac{d \psi ^{(n-2)}(a+b x)}{b^2}",1,"-((d*PolyGamma[-2 + n, a + b*x])/b^2) + ((c + d*x)*PolyGamma[-1 + n, a + b*x])/b","A",2,2,13,0.1538,1,"{6571, 6570}"
221,1,13,0,0.0056111,"\int \psi ^{(n)}(a+b x) \, dx","Int[PolyGamma[n, a + b*x],x]","\frac{\psi ^{(n-1)}(a+b x)}{b}","\frac{\psi ^{(n-1)}(a+b x)}{b}",1,"PolyGamma[-1 + n, a + b*x]/b","A",1,1,7,0.1429,1,"{6570}"
222,0,0,0,0.0500685,"\int \frac{\psi ^{(n)}(a+b x)}{c+d x} \, dx","Int[PolyGamma[n, a + b*x]/(c + d*x),x]","\int \frac{\psi ^{(n)}(a+b x)}{c+d x} \, dx","\text{Int}\left(\frac{\psi ^{(n)}(a+b x)}{c+d x},x\right)",0,"Defer[Int][PolyGamma[n, a + b*x]/(c + d*x), x]","N/A",0,0,0,0,-1,"{}"
223,0,0,0,0.0411316,"\int \frac{\psi ^{(n)}(a+b x)}{(c+d x)^2} \, dx","Int[PolyGamma[n, a + b*x]/(c + d*x)^2,x]","\int \frac{\psi ^{(n)}(a+b x)}{(c+d x)^2} \, dx","\frac{b \text{Int}\left(\frac{\psi ^{(n+1)}(a+b x)}{c+d x},x\right)}{d}-\frac{\psi ^{(n)}(a+b x)}{d (c+d x)}",0,"-(PolyGamma[n, a + b*x]/(d*(c + d*x))) + (b*Defer[Int][PolyGamma[1 + n, a + b*x]/(c + d*x), x])/d","N/A",0,0,0,0,-1,"{}"
224,0,0,0,0.0609491,"\int \frac{\psi ^{(n)}(a+b x)}{(c+d x)^3} \, dx","Int[PolyGamma[n, a + b*x]/(c + d*x)^3,x]","\int \frac{\psi ^{(n)}(a+b x)}{(c+d x)^3} \, dx","\frac{b^2 \text{Int}\left(\frac{\psi ^{(n+2)}(a+b x)}{c+d x},x\right)}{2 d^2}-\frac{b \psi ^{(n+1)}(a+b x)}{2 d^2 (c+d x)}-\frac{\psi ^{(n)}(a+b x)}{2 d (c+d x)^2}",0,"-PolyGamma[n, a + b*x]/(2*d*(c + d*x)^2) - (b*PolyGamma[1 + n, a + b*x])/(2*d^2*(c + d*x)) + (b^2*Defer[Int][PolyGamma[2 + n, a + b*x]/(c + d*x), x])/(2*d^2)","N/A",0,0,0,0,-1,"{}"
225,0,0,0,0.092395,"\int (c+d x)^{3/2} \psi ^{(n)}(a+b x) \, dx","Int[(c + d*x)^(3/2)*PolyGamma[n, a + b*x],x]","\int (c+d x)^{3/2} \psi ^{(n)}(a+b x) \, dx","\frac{3 d^2 \text{Int}\left(\frac{\psi ^{(n-2)}(a+b x)}{\sqrt{c+d x}},x\right)}{4 b^2}-\frac{3 d \sqrt{c+d x} \psi ^{(n-2)}(a+b x)}{2 b^2}+\frac{(c+d x)^{3/2} \psi ^{(n-1)}(a+b x)}{b}",0,"(-3*d*Sqrt[c + d*x]*PolyGamma[-2 + n, a + b*x])/(2*b^2) + ((c + d*x)^(3/2)*PolyGamma[-1 + n, a + b*x])/b + (3*d^2*Defer[Int][PolyGamma[-2 + n, a + b*x]/Sqrt[c + d*x], x])/(4*b^2)","N/A",0,0,0,0,-1,"{}"
226,0,0,0,0.0530647,"\int \sqrt{c+d x} \psi ^{(n)}(a+b x) \, dx","Int[Sqrt[c + d*x]*PolyGamma[n, a + b*x],x]","\int \sqrt{c+d x} \psi ^{(n)}(a+b x) \, dx","\frac{\sqrt{c+d x} \psi ^{(n-1)}(a+b x)}{b}-\frac{d \text{Int}\left(\frac{\psi ^{(n-1)}(a+b x)}{\sqrt{c+d x}},x\right)}{2 b}",0,"(Sqrt[c + d*x]*PolyGamma[-1 + n, a + b*x])/b - (d*Defer[Int][PolyGamma[-1 + n, a + b*x]/Sqrt[c + d*x], x])/(2*b)","N/A",0,0,0,0,-1,"{}"
227,0,0,0,0.0540973,"\int \frac{\psi ^{(n)}(a+b x)}{\sqrt{c+d x}} \, dx","Int[PolyGamma[n, a + b*x]/Sqrt[c + d*x],x]","\int \frac{\psi ^{(n)}(a+b x)}{\sqrt{c+d x}} \, dx","\text{Int}\left(\frac{\psi ^{(n)}(a+b x)}{\sqrt{c+d x}},x\right)",0,"Defer[Int][PolyGamma[n, a + b*x]/Sqrt[c + d*x], x]","N/A",0,0,0,0,-1,"{}"
228,0,0,0,0.0513656,"\int \frac{\psi ^{(n)}(a+b x)}{(c+d x)^{3/2}} \, dx","Int[PolyGamma[n, a + b*x]/(c + d*x)^(3/2),x]","\int \frac{\psi ^{(n)}(a+b x)}{(c+d x)^{3/2}} \, dx","\frac{2 b \text{Int}\left(\frac{\psi ^{(n+1)}(a+b x)}{\sqrt{c+d x}},x\right)}{d}-\frac{2 \psi ^{(n)}(a+b x)}{d \sqrt{c+d x}}",0,"(-2*PolyGamma[n, a + b*x])/(d*Sqrt[c + d*x]) + (2*b*Defer[Int][PolyGamma[1 + n, a + b*x]/Sqrt[c + d*x], x])/d","N/A",0,0,0,0,-1,"{}"
229,1,39,0,0.029429,"\int x^2 \psi ^{(1)}(a+b x) \, dx","Int[x^2*PolyGamma[1, a + b*x],x]","\frac{2 \psi ^{(-2)}(a+b x)}{b^3}-\frac{2 x \text{log$\Gamma $}(a+b x)}{b^2}+\frac{x^2 \psi ^{(0)}(a+b x)}{b}","\frac{2 \psi ^{(-2)}(a+b x)}{b^3}-\frac{2 x \text{log$\Gamma $}(a+b x)}{b^2}+\frac{x^2 \psi ^{(0)}(a+b x)}{b}",1,"(-2*x*LogGamma[a + b*x])/b^2 + (2*PolyGamma[-2, a + b*x])/b^3 + (x^2*PolyGamma[0, a + b*x])/b","A",3,2,11,0.1818,1,"{6571, 6567}"
230,1,12,0,0.0368444,"\int \left(\frac{\psi ^{(1)}(a+b x)}{x^2}-\frac{b \psi ^{(2)}(a+b x)}{x}\right) \, dx","Int[PolyGamma[1, a + b*x]/x^2 - (b*PolyGamma[2, a + b*x])/x,x]","-\frac{\psi ^{(1)}(a+b x)}{x}","-\frac{\psi ^{(1)}(a+b x)}{x}",1,"-(PolyGamma[1, a + b*x]/x)","A",2,1,25,0.04000,1,"{6572}"
231,1,12,0,0.0341509,"\int \left(\frac{\psi ^{(n)}(a+b x)}{x^2}-\frac{b \psi ^{(1+n)}(a+b x)}{x}\right) \, dx","Int[PolyGamma[n, a + b*x]/x^2 - (b*PolyGamma[1 + n, a + b*x])/x,x]","-\frac{\psi ^{(n)}(a+b x)}{x}","-\frac{\psi ^{(n)}(a+b x)}{x}",1,"-(PolyGamma[n, a + b*x]/x)","A",2,1,27,0.03704,1,"{6572}"
232,1,15,0,0.0127135,"\int \Gamma (a+b x)^n \psi ^{(0)}(a+b x) \, dx","Int[Gamma[a + b*x]^n*PolyGamma[0, a + b*x],x]","\frac{\Gamma (a+b x)^n}{b n}","\frac{\Gamma (a+b x)^n}{b n}",1,"Gamma[a + b*x]^n/(b*n)","A",1,1,16,0.06250,1,"{6574}"
233,1,15,0,0.0152406,"\int ((a+b x)!)^n \psi ^{(0)}(1+a+b x) \, dx","Int[(a + b*x)!^n*PolyGamma[0, 1 + a + b*x],x]","\frac{((a+b x)!)^n}{b n}","\frac{((a+b x)!)^n}{b n}",1,"(a + b*x)!^n/(b*n)","A",1,1,17,0.05882,1,"{6575}"