1,1,25,0,0.0123541,"\int x^2 E_1(b x) \, dx","Int[x^2*ExpIntegralE[1, b*x],x]","\frac{1}{3} x^3 E_1(b x)-\frac{1}{3} x^3 E_{-2}(b x)","\frac{1}{3} x^3 E_1(b x)-\frac{1}{3} x^3 E_{-2}(b x)",1,"-(x^3*ExpIntegralE[-2, b*x])/3 + (x^3*ExpIntegralE[1, b*x])/3","A",1,1,9,0.1111,1,"{6478}"
2,1,25,0,0.0067364,"\int x E_1(b x) \, dx","Int[x*ExpIntegralE[1, b*x],x]","\frac{1}{2} x^2 E_1(b x)-\frac{1}{2} x^2 E_{-1}(b x)","\frac{1}{2} x^2 E_1(b x)-\frac{1}{2} x^2 E_{-1}(b x)",1,"-(x^2*ExpIntegralE[-1, b*x])/2 + (x^2*ExpIntegralE[1, b*x])/2","A",1,1,7,0.1429,1,"{6478}"
3,1,10,0,0.0034779,"\int E_1(b x) \, dx","Int[ExpIntegralE[1, b*x],x]","-\frac{E_2(b x)}{b}","-\frac{E_2(b x)}{b}",1,"-(ExpIntegralE[2, b*x]/b)","A",1,1,5,0.2000,1,"{6473}"
4,1,32,0,0.0168508,"\int \frac{E_1(b x)}{x} \, dx","Int[ExpIntegralE[1, b*x]/x,x]","b x \, _3F_3(1,1,1;2,2,2;-b x)-\frac{1}{2} \log ^2(b x)-\gamma  \log (x)","b x \, _3F_3(1,1,1;2,2,2;-b x)-\frac{1}{2} \log ^2(b x)-\gamma  \log (x)",1,"b*x*HypergeometricPFQ[{1, 1, 1}, {2, 2, 2}, -(b*x)] - EulerGamma*Log[x] - Log[b*x]^2/2","A",1,1,9,0.1111,1,"{6475}"
5,1,20,0,0.0127199,"\int \frac{E_1(b x)}{x^2} \, dx","Int[ExpIntegralE[1, b*x]/x^2,x]","\frac{E_2(b x)}{x}-\frac{E_1(b x)}{x}","\frac{E_2(b x)}{x}-\frac{E_1(b x)}{x}",1,"-(ExpIntegralE[1, b*x]/x) + ExpIntegralE[2, b*x]/x","A",1,1,9,0.1111,1,"{6478}"
6,1,25,0,0.0128849,"\int \frac{E_1(b x)}{x^3} \, dx","Int[ExpIntegralE[1, b*x]/x^3,x]","\frac{E_3(b x)}{2 x^2}-\frac{E_1(b x)}{2 x^2}","\frac{E_3(b x)}{2 x^2}-\frac{E_1(b x)}{2 x^2}",1,"-ExpIntegralE[1, b*x]/(2*x^2) + ExpIntegralE[3, b*x]/(2*x^2)","A",1,1,9,0.1111,1,"{6478}"
7,1,25,0,0.0118776,"\int \frac{E_1(b x)}{x^4} \, dx","Int[ExpIntegralE[1, b*x]/x^4,x]","\frac{E_4(b x)}{3 x^3}-\frac{E_1(b x)}{3 x^3}","\frac{E_4(b x)}{3 x^3}-\frac{E_1(b x)}{3 x^3}",1,"-ExpIntegralE[1, b*x]/(3*x^3) + ExpIntegralE[4, b*x]/(3*x^3)","A",1,1,9,0.1111,1,"{6478}"
8,1,25,0,0.0111194,"\int x^2 E_2(b x) \, dx","Int[x^2*ExpIntegralE[2, b*x],x]","\frac{1}{4} x^3 E_2(b x)-\frac{1}{4} x^3 E_{-2}(b x)","\frac{1}{4} x^3 E_2(b x)-\frac{1}{4} x^3 E_{-2}(b x)",1,"-(x^3*ExpIntegralE[-2, b*x])/4 + (x^3*ExpIntegralE[2, b*x])/4","A",1,1,9,0.1111,1,"{6478}"
9,1,25,0,0.0070884,"\int x E_2(b x) \, dx","Int[x*ExpIntegralE[2, b*x],x]","\frac{1}{3} x^2 E_2(b x)-\frac{1}{3} x^2 E_{-1}(b x)","\frac{1}{3} x^2 E_2(b x)-\frac{1}{3} x^2 E_{-1}(b x)",1,"-(x^2*ExpIntegralE[-1, b*x])/3 + (x^2*ExpIntegralE[2, b*x])/3","A",1,1,7,0.1429,1,"{6478}"
10,1,10,0,0.0033856,"\int E_2(b x) \, dx","Int[ExpIntegralE[2, b*x],x]","-\frac{E_3(b x)}{b}","-\frac{E_3(b x)}{b}",1,"-(ExpIntegralE[3, b*x]/b)","A",1,1,5,0.2000,1,"{6473}"
11,1,13,0,0.0106672,"\int \frac{E_2(b x)}{x} \, dx","Int[ExpIntegralE[2, b*x]/x,x]","E_2(b x)-E_1(b x)","E_2(b x)-E_1(b x)",1,"-ExpIntegralE[1, b*x] + ExpIntegralE[2, b*x]","A",1,1,9,0.1111,1,"{6478}"
12,1,46,0,0.0355791,"\int \frac{E_2(b x)}{x^2} \, dx","Int[ExpIntegralE[2, b*x]/x^2,x]","b^2 (-x) \, _3F_3(1,1,1;2,2,2;-b x)-\frac{E_2(b x)}{x}+\frac{1}{2} b \log ^2(b x)+\gamma  b \log (x)","b^2 (-x) \, _3F_3(1,1,1;2,2,2;-b x)-\frac{E_2(b x)}{x}+\frac{1}{2} b \log ^2(b x)+\gamma  b \log (x)",1,"-(ExpIntegralE[2, b*x]/x) - b^2*x*HypergeometricPFQ[{1, 1, 1}, {2, 2, 2}, -(b*x)] + b*EulerGamma*Log[x] + (b*Log[b*x]^2)/2","A",2,2,9,0.2222,1,"{6476, 6475}"
13,1,20,0,0.0123451,"\int \frac{E_2(b x)}{x^3} \, dx","Int[ExpIntegralE[2, b*x]/x^3,x]","\frac{E_3(b x)}{x^2}-\frac{E_2(b x)}{x^2}","\frac{E_3(b x)}{x^2}-\frac{E_2(b x)}{x^2}",1,"-(ExpIntegralE[2, b*x]/x^2) + ExpIntegralE[3, b*x]/x^2","A",1,1,9,0.1111,1,"{6478}"
14,1,25,0,0.0122711,"\int \frac{E_2(b x)}{x^4} \, dx","Int[ExpIntegralE[2, b*x]/x^4,x]","\frac{E_4(b x)}{2 x^3}-\frac{E_2(b x)}{2 x^3}","\frac{E_4(b x)}{2 x^3}-\frac{E_2(b x)}{2 x^3}",1,"-ExpIntegralE[2, b*x]/(2*x^3) + ExpIntegralE[4, b*x]/(2*x^3)","A",1,1,9,0.1111,1,"{6478}"
15,1,25,0,0.0122539,"\int \frac{E_2(b x)}{x^5} \, dx","Int[ExpIntegralE[2, b*x]/x^5,x]","\frac{E_5(b x)}{3 x^4}-\frac{E_2(b x)}{3 x^4}","\frac{E_5(b x)}{3 x^4}-\frac{E_2(b x)}{3 x^4}",1,"-ExpIntegralE[2, b*x]/(3*x^4) + ExpIntegralE[5, b*x]/(3*x^4)","A",1,1,9,0.1111,1,"{6478}"
16,1,25,0,0.0119294,"\int x^2 E_3(b x) \, dx","Int[x^2*ExpIntegralE[3, b*x],x]","\frac{1}{5} x^3 E_3(b x)-\frac{1}{5} x^3 E_{-2}(b x)","\frac{1}{5} x^3 E_3(b x)-\frac{1}{5} x^3 E_{-2}(b x)",1,"-(x^3*ExpIntegralE[-2, b*x])/5 + (x^3*ExpIntegralE[3, b*x])/5","A",1,1,9,0.1111,1,"{6478}"
17,1,25,0,0.0068239,"\int x E_3(b x) \, dx","Int[x*ExpIntegralE[3, b*x],x]","\frac{1}{4} x^2 E_3(b x)-\frac{1}{4} x^2 E_{-1}(b x)","\frac{1}{4} x^2 E_3(b x)-\frac{1}{4} x^2 E_{-1}(b x)",1,"-(x^2*ExpIntegralE[-1, b*x])/4 + (x^2*ExpIntegralE[3, b*x])/4","A",1,1,7,0.1429,1,"{6478}"
18,1,10,0,0.0032809,"\int E_3(b x) \, dx","Int[ExpIntegralE[3, b*x],x]","-\frac{E_4(b x)}{b}","-\frac{E_4(b x)}{b}",1,"-(ExpIntegralE[4, b*x]/b)","A",1,1,5,0.2000,1,"{6473}"
19,1,19,0,0.0112429,"\int \frac{E_3(b x)}{x} \, dx","Int[ExpIntegralE[3, b*x]/x,x]","\frac{E_3(b x)}{2}-\frac{E_1(b x)}{2}","\frac{E_3(b x)}{2}-\frac{E_1(b x)}{2}",1,"-ExpIntegralE[1, b*x]/2 + ExpIntegralE[3, b*x]/2","A",1,1,9,0.1111,1,"{6478}"
20,1,20,0,0.0118265,"\int \frac{E_3(b x)}{x^2} \, dx","Int[ExpIntegralE[3, b*x]/x^2,x]","\frac{E_3(b x)}{x}-\frac{E_2(b x)}{x}","\frac{E_3(b x)}{x}-\frac{E_2(b x)}{x}",1,"-(ExpIntegralE[2, b*x]/x) + ExpIntegralE[3, b*x]/x","A",1,1,9,0.1111,1,"{6478}"
21,1,70,0,0.0526082,"\int \frac{E_3(b x)}{x^3} \, dx","Int[ExpIntegralE[3, b*x]/x^3,x]","\frac{1}{2} b^3 x \, _3F_3(1,1,1;2,2,2;-b x)-\frac{1}{4} b^2 \log ^2(b x)-\frac{1}{2} \gamma  b^2 \log (x)-\frac{E_3(b x)}{2 x^2}+\frac{b E_2(b x)}{2 x}","\frac{1}{2} b^3 x \, _3F_3(1,1,1;2,2,2;-b x)-\frac{1}{4} b^2 \log ^2(b x)-\frac{1}{2} \gamma  b^2 \log (x)-\frac{E_3(b x)}{2 x^2}+\frac{b E_2(b x)}{2 x}",1,"(b*ExpIntegralE[2, b*x])/(2*x) - ExpIntegralE[3, b*x]/(2*x^2) + (b^3*x*HypergeometricPFQ[{1, 1, 1}, {2, 2, 2}, -(b*x)])/2 - (b^2*EulerGamma*Log[x])/2 - (b^2*Log[b*x]^2)/4","A",3,2,9,0.2222,1,"{6476, 6475}"
22,1,20,0,0.0131015,"\int \frac{E_3(b x)}{x^4} \, dx","Int[ExpIntegralE[3, b*x]/x^4,x]","\frac{E_4(b x)}{x^3}-\frac{E_3(b x)}{x^3}","\frac{E_4(b x)}{x^3}-\frac{E_3(b x)}{x^3}",1,"-(ExpIntegralE[3, b*x]/x^3) + ExpIntegralE[4, b*x]/x^3","A",1,1,9,0.1111,1,"{6478}"
23,1,25,0,0.0126277,"\int \frac{E_3(b x)}{x^5} \, dx","Int[ExpIntegralE[3, b*x]/x^5,x]","\frac{E_5(b x)}{2 x^4}-\frac{E_3(b x)}{2 x^4}","\frac{E_5(b x)}{2 x^4}-\frac{E_3(b x)}{2 x^4}",1,"-ExpIntegralE[3, b*x]/(2*x^4) + ExpIntegralE[5, b*x]/(2*x^4)","A",1,1,9,0.1111,1,"{6478}"
24,1,25,0,0.0124629,"\int \frac{E_3(b x)}{x^6} \, dx","Int[ExpIntegralE[3, b*x]/x^6,x]","\frac{E_6(b x)}{3 x^5}-\frac{E_3(b x)}{3 x^5}","\frac{E_6(b x)}{3 x^5}-\frac{E_3(b x)}{3 x^5}",1,"-ExpIntegralE[3, b*x]/(3*x^5) + ExpIntegralE[6, b*x]/(3*x^5)","A",1,1,9,0.1111,1,"{6478}"
25,1,25,0,0.0121015,"\int x^3 E_{-1}(b x) \, dx","Int[x^3*ExpIntegralE[-1, b*x],x]","\frac{1}{2} x^4 E_{-1}(b x)-\frac{1}{2} x^4 E_{-3}(b x)","\frac{1}{2} x^4 E_{-1}(b x)-\frac{1}{2} x^4 E_{-3}(b x)",1,"-(x^4*ExpIntegralE[-3, b*x])/2 + (x^4*ExpIntegralE[-1, b*x])/2","A",1,1,9,0.1111,1,"{6478}"
26,1,20,0,0.0171489,"\int x^2 E_{-1}(b x) \, dx","Int[x^2*ExpIntegralE[-1, b*x],x]","x^3 E_{-1}(b x)-x^3 E_{-2}(b x)","x^3 E_{-1}(b x)-x^3 E_{-2}(b x)",1,"-(x^3*ExpIntegralE[-2, b*x]) + x^3*ExpIntegralE[-1, b*x]","A",1,1,9,0.1111,1,"{6478}"
27,1,21,0,0.0245586,"\int x E_{-1}(b x) \, dx","Int[x*ExpIntegralE[-1, b*x],x]","\frac{\text{Ei}(-b x)}{b^2}-\frac{e^{-b x}}{b^2}","\frac{\text{Ei}(-b x)}{b^2}-\frac{e^{-b x}}{b^2}",1,"-(1/(b^2*E^(b*x))) + ExpIntegralEi[-(b*x)]/b^2","A",3,3,7,0.4286,1,"{6474, 12, 2178}"
28,1,14,0,0.003966,"\int E_{-1}(b x) \, dx","Int[ExpIntegralE[-1, b*x],x]","-\frac{e^{-b x}}{b^2 x}","-\frac{e^{-b x}}{b^2 x}",1,"-(1/(b^2*E^(b*x)*x))","A",1,1,5,0.2000,1,"{6473}"
29,1,19,0,0.0114341,"\int \frac{E_{-1}(b x)}{x} \, dx","Int[ExpIntegralE[-1, b*x]/x,x]","\frac{E_1(b x)}{2}-\frac{E_{-1}(b x)}{2}","\frac{E_1(b x)}{2}-\frac{E_{-1}(b x)}{2}",1,"-ExpIntegralE[-1, b*x]/2 + ExpIntegralE[1, b*x]/2","A",1,1,9,0.1111,1,"{6478}"
30,1,25,0,0.0121476,"\int \frac{E_{-1}(b x)}{x^2} \, dx","Int[ExpIntegralE[-1, b*x]/x^2,x]","\frac{E_2(b x)}{3 x}-\frac{E_{-1}(b x)}{3 x}","\frac{E_2(b x)}{3 x}-\frac{E_{-1}(b x)}{3 x}",1,"-ExpIntegralE[-1, b*x]/(3*x) + ExpIntegralE[2, b*x]/(3*x)","A",1,1,9,0.1111,1,"{6478}"
31,1,25,0,0.0124813,"\int \frac{E_{-1}(b x)}{x^3} \, dx","Int[ExpIntegralE[-1, b*x]/x^3,x]","\frac{E_3(b x)}{4 x^2}-\frac{E_{-1}(b x)}{4 x^2}","\frac{E_3(b x)}{4 x^2}-\frac{E_{-1}(b x)}{4 x^2}",1,"-ExpIntegralE[-1, b*x]/(4*x^2) + ExpIntegralE[3, b*x]/(4*x^2)","A",1,1,9,0.1111,1,"{6478}"
32,1,25,0,0.0117829,"\int x^4 E_{-2}(b x) \, dx","Int[x^4*ExpIntegralE[-2, b*x],x]","\frac{1}{2} x^5 E_{-2}(b x)-\frac{1}{2} x^5 E_{-4}(b x)","\frac{1}{2} x^5 E_{-2}(b x)-\frac{1}{2} x^5 E_{-4}(b x)",1,"-(x^5*ExpIntegralE[-4, b*x])/2 + (x^5*ExpIntegralE[-2, b*x])/2","A",1,1,9,0.1111,1,"{6478}"
33,1,20,0,0.0113338,"\int x^3 E_{-2}(b x) \, dx","Int[x^3*ExpIntegralE[-2, b*x],x]","x^4 E_{-2}(b x)-x^4 E_{-3}(b x)","x^4 E_{-2}(b x)-x^4 E_{-3}(b x)",1,"-(x^4*ExpIntegralE[-3, b*x]) + x^4*ExpIntegralE[-2, b*x]","A",1,1,9,0.1111,1,"{6478}"
34,1,35,0,0.0373801,"\int x^2 E_{-2}(b x) \, dx","Int[x^2*ExpIntegralE[-2, b*x],x]","\frac{2 \text{Ei}(-b x)}{b^3}-\frac{2 e^{-b x}}{b^3}-\frac{x^2 E_{-1}(b x)}{b}","\frac{2 \text{Ei}(-b x)}{b^3}-\frac{2 e^{-b x}}{b^3}-\frac{x^2 E_{-1}(b x)}{b}",1,"-2/(b^3*E^(b*x)) - (x^2*ExpIntegralE[-1, b*x])/b + (2*ExpIntegralEi[-(b*x)])/b^3","A",4,3,9,0.3333,1,"{6474, 12, 2178}"
35,1,20,0,0.0066607,"\int x E_{-2}(b x) \, dx","Int[x*ExpIntegralE[-2, b*x],x]","x^2 E_{-1}(b x)-x^2 E_{-2}(b x)","x^2 E_{-1}(b x)-x^2 E_{-2}(b x)",1,"-(x^2*ExpIntegralE[-2, b*x]) + x^2*ExpIntegralE[-1, b*x]","A",1,1,7,0.1429,1,"{6478}"
36,1,14,0,0.0037328,"\int E_{-1}(b x) \, dx","Int[ExpIntegralE[-1, b*x],x]","-\frac{e^{-b x}}{b^2 x}","-\frac{e^{-b x}}{b^2 x}",1,"-(1/(b^2*E^(b*x)*x))","A",1,1,5,0.2000,1,"{6473}"
37,1,19,0,0.0111509,"\int \frac{E_{-2}(b x)}{x} \, dx","Int[ExpIntegralE[-2, b*x]/x,x]","\frac{E_1(b x)}{3}-\frac{E_{-2}(b x)}{3}","\frac{E_1(b x)}{3}-\frac{E_{-2}(b x)}{3}",1,"-ExpIntegralE[-2, b*x]/3 + ExpIntegralE[1, b*x]/3","A",1,1,9,0.1111,1,"{6478}"
38,1,25,0,0.0116401,"\int \frac{E_{-2}(b x)}{x^2} \, dx","Int[ExpIntegralE[-2, b*x]/x^2,x]","\frac{E_2(b x)}{4 x}-\frac{E_{-2}(b x)}{4 x}","\frac{E_2(b x)}{4 x}-\frac{E_{-2}(b x)}{4 x}",1,"-ExpIntegralE[-2, b*x]/(4*x) + ExpIntegralE[2, b*x]/(4*x)","A",1,1,9,0.1111,1,"{6478}"
39,1,25,0,0.0112883,"\int \frac{E_{-2}(b x)}{x^3} \, dx","Int[ExpIntegralE[-2, b*x]/x^3,x]","\frac{E_3(b x)}{5 x^2}-\frac{E_{-2}(b x)}{5 x^2}","\frac{E_3(b x)}{5 x^2}-\frac{E_{-2}(b x)}{5 x^2}",1,"-ExpIntegralE[-2, b*x]/(5*x^2) + ExpIntegralE[3, b*x]/(5*x^2)","A",1,1,9,0.1111,1,"{6478}"
40,1,25,0,0.0116955,"\int x^5 E_{-3}(b x) \, dx","Int[x^5*ExpIntegralE[-3, b*x],x]","\frac{1}{2} x^6 E_{-3}(b x)-\frac{1}{2} x^6 E_{-5}(b x)","\frac{1}{2} x^6 E_{-3}(b x)-\frac{1}{2} x^6 E_{-5}(b x)",1,"-(x^6*ExpIntegralE[-5, b*x])/2 + (x^6*ExpIntegralE[-3, b*x])/2","A",1,1,9,0.1111,1,"{6478}"
41,1,20,0,0.0112839,"\int x^4 E_{-3}(b x) \, dx","Int[x^4*ExpIntegralE[-3, b*x],x]","x^5 E_{-3}(b x)-x^5 E_{-4}(b x)","x^5 E_{-3}(b x)-x^5 E_{-4}(b x)",1,"-(x^5*ExpIntegralE[-4, b*x]) + x^5*ExpIntegralE[-3, b*x]","A",1,1,9,0.1111,1,"{6478}"
42,1,48,0,0.0613636,"\int x^3 E_{-3}(b x) \, dx","Int[x^3*ExpIntegralE[-3, b*x],x]","\frac{6 \text{Ei}(-b x)}{b^4}-\frac{6 e^{-b x}}{b^4}-\frac{3 x^2 E_{-1}(b x)}{b^2}-\frac{x^3 E_{-2}(b x)}{b}","\frac{6 \text{Ei}(-b x)}{b^4}-\frac{6 e^{-b x}}{b^4}-\frac{3 x^2 E_{-1}(b x)}{b^2}-\frac{x^3 E_{-2}(b x)}{b}",1,"-6/(b^4*E^(b*x)) - (x^3*ExpIntegralE[-2, b*x])/b - (3*x^2*ExpIntegralE[-1, b*x])/b^2 + (6*ExpIntegralEi[-(b*x)])/b^4","A",5,3,9,0.3333,1,"{6474, 12, 2178}"
43,1,20,0,0.0135536,"\int x^2 E_{-3}(b x) \, dx","Int[x^2*ExpIntegralE[-3, b*x],x]","x^3 E_{-2}(b x)-x^3 E_{-3}(b x)","x^3 E_{-2}(b x)-x^3 E_{-3}(b x)",1,"-(x^3*ExpIntegralE[-3, b*x]) + x^3*ExpIntegralE[-2, b*x]","A",1,1,9,0.1111,1,"{6478}"
44,1,25,0,0.0069842,"\int x E_{-3}(b x) \, dx","Int[x*ExpIntegralE[-3, b*x],x]","\frac{1}{2} x^2 E_{-1}(b x)-\frac{1}{2} x^2 E_{-3}(b x)","\frac{1}{2} x^2 E_{-1}(b x)-\frac{1}{2} x^2 E_{-3}(b x)",1,"-(x^2*ExpIntegralE[-3, b*x])/2 + (x^2*ExpIntegralE[-1, b*x])/2","A",1,1,7,0.1429,1,"{6478}"
45,1,14,0,0.0046294,"\int E_{-1}(b x) \, dx","Int[ExpIntegralE[-1, b*x],x]","-\frac{e^{-b x}}{b^2 x}","-\frac{e^{-b x}}{b^2 x}",1,"-(1/(b^2*E^(b*x)*x))","A",1,1,5,0.2000,1,"{6473}"
46,1,19,0,0.0111913,"\int \frac{E_{-3}(b x)}{x} \, dx","Int[ExpIntegralE[-3, b*x]/x,x]","\frac{E_1(b x)}{4}-\frac{E_{-3}(b x)}{4}","\frac{E_1(b x)}{4}-\frac{E_{-3}(b x)}{4}",1,"-ExpIntegralE[-3, b*x]/4 + ExpIntegralE[1, b*x]/4","A",1,1,9,0.1111,1,"{6478}"
47,1,25,0,0.0120546,"\int \frac{E_{-3}(b x)}{x^2} \, dx","Int[ExpIntegralE[-3, b*x]/x^2,x]","\frac{E_2(b x)}{5 x}-\frac{E_{-3}(b x)}{5 x}","\frac{E_2(b x)}{5 x}-\frac{E_{-3}(b x)}{5 x}",1,"-ExpIntegralE[-3, b*x]/(5*x) + ExpIntegralE[2, b*x]/(5*x)","A",1,1,9,0.1111,1,"{6478}"
48,1,25,0,0.0377252,"\int \frac{E_{-3}(b x)}{x^3} \, dx","Int[ExpIntegralE[-3, b*x]/x^3,x]","\frac{E_3(b x)}{6 x^2}-\frac{E_{-3}(b x)}{6 x^2}","\frac{E_3(b x)}{6 x^2}-\frac{E_{-3}(b x)}{6 x^2}",1,"-ExpIntegralE[-3, b*x]/(6*x^2) + ExpIntegralE[3, b*x]/(6*x^2)","A",1,1,9,0.1111,1,"{6478}"
49,1,48,0,0.0536741,"\int x^3 E_{-3}(b x) \, dx","Int[x^3*ExpIntegralE[-3, b*x],x]","\frac{6 \text{Ei}(-b x)}{b^4}-\frac{6 e^{-b x}}{b^4}-\frac{3 x^2 E_{-1}(b x)}{b^2}-\frac{x^3 E_{-2}(b x)}{b}","\frac{6 \text{Ei}(-b x)}{b^4}-\frac{6 e^{-b x}}{b^4}-\frac{3 x^2 E_{-1}(b x)}{b^2}-\frac{x^3 E_{-2}(b x)}{b}",1,"-6/(b^4*E^(b*x)) - (x^3*ExpIntegralE[-2, b*x])/b - (3*x^2*ExpIntegralE[-1, b*x])/b^2 + (6*ExpIntegralEi[-(b*x)])/b^4","A",5,3,9,0.3333,1,"{6474, 12, 2178}"
50,1,35,0,0.0378735,"\int x^2 E_{-2}(b x) \, dx","Int[x^2*ExpIntegralE[-2, b*x],x]","\frac{2 \text{Ei}(-b x)}{b^3}-\frac{2 e^{-b x}}{b^3}-\frac{x^2 E_{-1}(b x)}{b}","\frac{2 \text{Ei}(-b x)}{b^3}-\frac{2 e^{-b x}}{b^3}-\frac{x^2 E_{-1}(b x)}{b}",1,"-2/(b^3*E^(b*x)) - (x^2*ExpIntegralE[-1, b*x])/b + (2*ExpIntegralEi[-(b*x)])/b^3","A",4,3,9,0.3333,1,"{6474, 12, 2178}"
51,1,21,0,0.0250853,"\int x E_{-1}(b x) \, dx","Int[x*ExpIntegralE[-1, b*x],x]","\frac{\text{Ei}(-b x)}{b^2}-\frac{e^{-b x}}{b^2}","\frac{\text{Ei}(-b x)}{b^2}-\frac{e^{-b x}}{b^2}",1,"-(1/(b^2*E^(b*x))) + ExpIntegralEi[-(b*x)]/b^2","A",3,3,7,0.4286,1,"{6474, 12, 2178}"
52,1,9,0,0.0158798,"\int \frac{e^{-b x}}{b x} \, dx","Int[1/(b*E^(b*x)*x),x]","\frac{\text{Ei}(-b x)}{b}","\frac{\text{Ei}(-b x)}{b}",1,"ExpIntegralEi[-(b*x)]/b","A",2,2,13,0.1538,1,"{12, 2178}"
53,1,32,0,0.0177724,"\int \frac{E_1(b x)}{x} \, dx","Int[ExpIntegralE[1, b*x]/x,x]","b x \, _3F_3(1,1,1;2,2,2;-b x)-\frac{1}{2} \log ^2(b x)-\gamma  \log (x)","b x \, _3F_3(1,1,1;2,2,2;-b x)-\frac{1}{2} \log ^2(b x)-\gamma  \log (x)",1,"b*x*HypergeometricPFQ[{1, 1, 1}, {2, 2, 2}, -(b*x)] - EulerGamma*Log[x] - Log[b*x]^2/2","A",1,1,9,0.1111,1,"{6475}"
54,1,46,0,0.0310053,"\int \frac{E_2(b x)}{x^2} \, dx","Int[ExpIntegralE[2, b*x]/x^2,x]","b^2 (-x) \, _3F_3(1,1,1;2,2,2;-b x)-\frac{E_2(b x)}{x}+\frac{1}{2} b \log ^2(b x)+\gamma  b \log (x)","b^2 (-x) \, _3F_3(1,1,1;2,2,2;-b x)-\frac{E_2(b x)}{x}+\frac{1}{2} b \log ^2(b x)+\gamma  b \log (x)",1,"-(ExpIntegralE[2, b*x]/x) - b^2*x*HypergeometricPFQ[{1, 1, 1}, {2, 2, 2}, -(b*x)] + b*EulerGamma*Log[x] + (b*Log[b*x]^2)/2","A",2,2,9,0.2222,1,"{6476, 6475}"
55,1,70,0,0.0549793,"\int \frac{E_3(b x)}{x^3} \, dx","Int[ExpIntegralE[3, b*x]/x^3,x]","\frac{1}{2} b^3 x \, _3F_3(1,1,1;2,2,2;-b x)-\frac{1}{4} b^2 \log ^2(b x)-\frac{1}{2} \gamma  b^2 \log (x)-\frac{E_3(b x)}{2 x^2}+\frac{b E_2(b x)}{2 x}","\frac{1}{2} b^3 x \, _3F_3(1,1,1;2,2,2;-b x)-\frac{1}{4} b^2 \log ^2(b x)-\frac{1}{2} \gamma  b^2 \log (x)-\frac{E_3(b x)}{2 x^2}+\frac{b E_2(b x)}{2 x}",1,"(b*ExpIntegralE[2, b*x])/(2*x) - ExpIntegralE[3, b*x]/(2*x^2) + (b^3*x*HypergeometricPFQ[{1, 1, 1}, {2, 2, 2}, -(b*x)])/2 - (b^2*EulerGamma*Log[x])/2 - (b^2*Log[b*x]^2)/4","A",3,2,9,0.2222,1,"{6476, 6475}"
56,1,62,0,0.0219987,"\int (d x)^{3/2} E_{-\frac{3}{2}}(b x) \, dx","Int[(d*x)^(3/2)*ExpIntegralE[-3/2, b*x],x]","\frac{3 \sqrt{\pi } (d x)^{3/2} \log (x)}{4 b (b x)^{3/2}}-\frac{4 (d x)^{5/2} \, _2F_2\left(\frac{5}{2},\frac{5}{2};\frac{7}{2},\frac{7}{2};-b x\right)}{25 d}","\frac{3 \sqrt{\pi } (d x)^{3/2} \log (x)}{4 b (b x)^{3/2}}-\frac{4 (d x)^{5/2} \, _2F_2\left(\frac{5}{2},\frac{5}{2};\frac{7}{2},\frac{7}{2};-b x\right)}{25 d}",1,"(-4*(d*x)^(5/2)*HypergeometricPFQ[{5/2, 5/2}, {7/2, 7/2}, -(b*x)])/(25*d) + (3*Sqrt[Pi]*(d*x)^(3/2)*Log[x])/(4*b*(b*x)^(3/2))","A",1,1,15,0.06667,1,"{6477}"
57,1,62,0,0.0171474,"\int \sqrt{d x} E_{-\frac{1}{2}}(b x) \, dx","Int[Sqrt[d*x]*ExpIntegralE[-1/2, b*x],x]","\frac{\sqrt{\pi } \sqrt{d x} \log (x)}{2 b \sqrt{b x}}-\frac{4 (d x)^{3/2} \, _2F_2\left(\frac{3}{2},\frac{3}{2};\frac{5}{2},\frac{5}{2};-b x\right)}{9 d}","\frac{\sqrt{\pi } \sqrt{d x} \log (x)}{2 b \sqrt{b x}}-\frac{4 (d x)^{3/2} \, _2F_2\left(\frac{3}{2},\frac{3}{2};\frac{5}{2},\frac{5}{2};-b x\right)}{9 d}",1,"(-4*(d*x)^(3/2)*HypergeometricPFQ[{3/2, 3/2}, {5/2, 5/2}, -(b*x)])/(9*d) + (Sqrt[Pi]*Sqrt[d*x]*Log[x])/(2*b*Sqrt[b*x])","A",1,1,15,0.06667,1,"{6477}"
58,1,57,0,0.0175207,"\int \frac{E_{\frac{1}{2}}(b x)}{\sqrt{d x}} \, dx","Int[ExpIntegralE[1/2, b*x]/Sqrt[d*x],x]","\frac{\sqrt{\pi } \sqrt{b x} \log (x)}{b \sqrt{d x}}-\frac{4 \sqrt{d x} \, _2F_2\left(\frac{1}{2},\frac{1}{2};\frac{3}{2},\frac{3}{2};-b x\right)}{d}","\frac{\sqrt{\pi } \sqrt{b x} \log (x)}{b \sqrt{d x}}-\frac{4 \sqrt{d x} \, _2F_2\left(\frac{1}{2},\frac{1}{2};\frac{3}{2},\frac{3}{2};-b x\right)}{d}",1,"(-4*Sqrt[d*x]*HypergeometricPFQ[{1/2, 1/2}, {3/2, 3/2}, -(b*x)])/d + (Sqrt[Pi]*Sqrt[b*x]*Log[x])/(b*Sqrt[d*x])","A",1,1,15,0.06667,1,"{6477}"
59,1,58,0,0.0201689,"\int \frac{E_{\frac{3}{2}}(b x)}{(d x)^{3/2}} \, dx","Int[ExpIntegralE[3/2, b*x]/(d*x)^(3/2),x]","-\frac{4 \, _2F_2\left(-\frac{1}{2},-\frac{1}{2};\frac{1}{2},\frac{1}{2};-b x\right)}{d \sqrt{d x}}-\frac{2 \sqrt{\pi } (b x)^{3/2} \log (x)}{b (d x)^{3/2}}","-\frac{4 \, _2F_2\left(-\frac{1}{2},-\frac{1}{2};\frac{1}{2},\frac{1}{2};-b x\right)}{d \sqrt{d x}}-\frac{2 \sqrt{\pi } (b x)^{3/2} \log (x)}{b (d x)^{3/2}}",1,"(-4*HypergeometricPFQ[{-1/2, -1/2}, {1/2, 1/2}, -(b*x)])/(d*Sqrt[d*x]) - (2*Sqrt[Pi]*(b*x)^(3/2)*Log[x])/(b*(d*x)^(3/2))","A",1,1,15,0.06667,1,"{6477}"
60,1,62,0,0.0211607,"\int \frac{E_{\frac{5}{2}}(b x)}{(d x)^{5/2}} \, dx","Int[ExpIntegralE[5/2, b*x]/(d*x)^(5/2),x]","\frac{4 \sqrt{\pi } (b x)^{5/2} \log (x)}{3 b (d x)^{5/2}}-\frac{4 \, _2F_2\left(-\frac{3}{2},-\frac{3}{2};-\frac{1}{2},-\frac{1}{2};-b x\right)}{9 d (d x)^{3/2}}","\frac{4 \sqrt{\pi } (b x)^{5/2} \log (x)}{3 b (d x)^{5/2}}-\frac{4 \, _2F_2\left(-\frac{3}{2},-\frac{3}{2};-\frac{1}{2},-\frac{1}{2};-b x\right)}{9 d (d x)^{3/2}}",1,"(-4*HypergeometricPFQ[{-3/2, -3/2}, {-1/2, -1/2}, -(b*x)])/(9*d*(d*x)^(3/2)) + (4*Sqrt[Pi]*(b*x)^(5/2)*Log[x])/(3*b*(d*x)^(5/2))","A",1,1,15,0.06667,1,"{6477}"
61,1,32,0,0.0148899,"\int x^m E_n(x) \, dx","Int[x^m*ExpIntegralE[n, x],x]","\frac{x^{m+1} E_n(x)}{m+n}-\frac{x^{m+1} E_{-m}(x)}{m+n}","\frac{x^{m+1} E_n(x)}{m+n}-\frac{x^{m+1} E_{-m}(x)}{m+n}",1,"-((x^(1 + m)*ExpIntegralE[-m, x])/(m + n)) + (x^(1 + m)*ExpIntegralE[n, x])/(m + n)","A",1,1,7,0.1429,1,"{6478}"
62,1,36,0,0.0153453,"\int x^m E_n(b x) \, dx","Int[x^m*ExpIntegralE[n, b*x],x]","\frac{x^{m+1} E_n(b x)}{m+n}-\frac{x^{m+1} E_{-m}(b x)}{m+n}","\frac{x^{m+1} E_n(b x)}{m+n}-\frac{x^{m+1} E_{-m}(b x)}{m+n}",1,"-((x^(1 + m)*ExpIntegralE[-m, b*x])/(m + n)) + (x^(1 + m)*ExpIntegralE[n, b*x])/(m + n)","A",1,1,9,0.1111,1,"{6478}"
63,1,42,0,0.0249164,"\int (d x)^m E_n(x) \, dx","Int[(d*x)^m*ExpIntegralE[n, x],x]","\frac{(d x)^{m+1} E_n(x)}{d (m+n)}-\frac{(d x)^{m+1} E_{-m}(x)}{d (m+n)}","\frac{(d x)^{m+1} E_n(x)}{d (m+n)}-\frac{(d x)^{m+1} E_{-m}(x)}{d (m+n)}",1,"-(((d*x)^(1 + m)*ExpIntegralE[-m, x])/(d*(m + n))) + ((d*x)^(1 + m)*ExpIntegralE[n, x])/(d*(m + n))","A",1,1,9,0.1111,1,"{6478}"
64,1,46,0,0.0214403,"\int (d x)^m E_n(b x) \, dx","Int[(d*x)^m*ExpIntegralE[n, b*x],x]","\frac{(d x)^{m+1} E_n(b x)}{d (m+n)}-\frac{(d x)^{m+1} E_{-m}(b x)}{d (m+n)}","\frac{(d x)^{m+1} E_n(b x)}{d (m+n)}-\frac{(d x)^{m+1} E_{-m}(b x)}{d (m+n)}",1,"-(((d*x)^(1 + m)*ExpIntegralE[-m, b*x])/(d*(m + n))) + ((d*x)^(1 + m)*ExpIntegralE[n, b*x])/(d*(m + n))","A",1,1,11,0.09091,1,"{6478}"
65,1,52,0,0.0196062,"\int x^{-n} E_n(x) \, dx","Int[ExpIntegralE[n, x]/x^n,x]","\text{Gamma}(1-n) \log (x)-\frac{x^{1-n} \, _2F_2(1-n,1-n;2-n,2-n;-x)}{(1-n)^2}","\text{Gamma}(1-n) \log (x)-\frac{x^{1-n} \, _2F_2(1-n,1-n;2-n,2-n;-x)}{(1-n)^2}",1,"-((x^(1 - n)*HypergeometricPFQ[{1 - n, 1 - n}, {2 - n, 2 - n}, -x])/(1 - n)^2) + Gamma[1 - n]*Log[x]","A",1,1,9,0.1111,1,"{6477}"
66,1,66,0,0.0168185,"\int x^{-n} E_n(b x) \, dx","Int[ExpIntegralE[n, b*x]/x^n,x]","\frac{x^{-n} \text{Gamma}(1-n) \log (x) (b x)^n}{b}-\frac{x^{1-n} \, _2F_2(1-n,1-n;2-n,2-n;-b x)}{(1-n)^2}","\frac{x^{-n} \text{Gamma}(1-n) \log (x) (b x)^n}{b}-\frac{x^{1-n} \, _2F_2(1-n,1-n;2-n,2-n;-b x)}{(1-n)^2}",1,"-((x^(1 - n)*HypergeometricPFQ[{1 - n, 1 - n}, {2 - n, 2 - n}, -(b*x)])/(1 - n)^2) + ((b*x)^n*Gamma[1 - n]*Log[x])/(b*x^n)","A",1,1,11,0.09091,1,"{6477}"
67,1,67,0,0.0229869,"\int (d x)^{-n} E_n(x) \, dx","Int[ExpIntegralE[n, x]/(d*x)^n,x]","x^n \text{Gamma}(1-n) \log (x) (d x)^{-n}-\frac{(d x)^{1-n} \, _2F_2(1-n,1-n;2-n,2-n;-x)}{d (1-n)^2}","x^n \text{Gamma}(1-n) \log (x) (d x)^{-n}-\frac{(d x)^{1-n} \, _2F_2(1-n,1-n;2-n,2-n;-x)}{d (1-n)^2}",1,"-(((d*x)^(1 - n)*HypergeometricPFQ[{1 - n, 1 - n}, {2 - n, 2 - n}, -x])/(d*(1 - n)^2)) + (x^n*Gamma[1 - n]*Log[x])/(d*x)^n","A",1,1,11,0.09091,1,"{6477}"
68,1,73,0,0.0185364,"\int (d x)^{-n} E_n(b x) \, dx","Int[ExpIntegralE[n, b*x]/(d*x)^n,x]","\frac{\text{Gamma}(1-n) \log (x) (b x)^n (d x)^{-n}}{b}-\frac{(d x)^{1-n} \, _2F_2(1-n,1-n;2-n,2-n;-b x)}{d (1-n)^2}","\frac{\text{Gamma}(1-n) \log (x) (b x)^n (d x)^{-n}}{b}-\frac{(d x)^{1-n} \, _2F_2(1-n,1-n;2-n,2-n;-b x)}{d (1-n)^2}",1,"-(((d*x)^(1 - n)*HypergeometricPFQ[{1 - n, 1 - n}, {2 - n, 2 - n}, -(b*x)])/(d*(1 - n)^2)) + ((b*x)^n*Gamma[1 - n]*Log[x])/(b*(d*x)^n)","A",1,1,13,0.07692,1,"{6477}"
69,1,30,0,0.015318,"\int x^2 E_n(b x) \, dx","Int[x^2*ExpIntegralE[n, b*x],x]","\frac{x^3 E_n(b x)}{n+2}-\frac{x^3 E_{-2}(b x)}{n+2}","\frac{x^3 E_n(b x)}{n+2}-\frac{x^3 E_{-2}(b x)}{n+2}",1,"-((x^3*ExpIntegralE[-2, b*x])/(2 + n)) + (x^3*ExpIntegralE[n, b*x])/(2 + n)","A",1,1,9,0.1111,1,"{6478}"
70,1,30,0,0.0086951,"\int x E_n(b x) \, dx","Int[x*ExpIntegralE[n, b*x],x]","\frac{x^2 E_n(b x)}{n+1}-\frac{x^2 E_{-1}(b x)}{n+1}","\frac{x^2 E_n(b x)}{n+1}-\frac{x^2 E_{-1}(b x)}{n+1}",1,"-((x^2*ExpIntegralE[-1, b*x])/(1 + n)) + (x^2*ExpIntegralE[n, b*x])/(1 + n)","A",1,1,7,0.1429,1,"{6478}"
71,1,12,0,0.0041136,"\int E_n(b x) \, dx","Int[ExpIntegralE[n, b*x],x]","-\frac{E_{n+1}(b x)}{b}","-\frac{E_{n+1}(b x)}{b}",1,"-(ExpIntegralE[1 + n, b*x]/b)","A",1,1,5,0.2000,1,"{6473}"
72,1,28,0,0.0198413,"\int \frac{E_n(b x)}{x} \, dx","Int[ExpIntegralE[n, b*x]/x,x]","\frac{E_1(b x)}{1-n}-\frac{E_n(b x)}{1-n}","\frac{E_1(b x)}{1-n}-\frac{E_n(b x)}{1-n}",1,"ExpIntegralE[1, b*x]/(1 - n) - ExpIntegralE[n, b*x]/(1 - n)","A",1,1,9,0.1111,1,"{6478}"
73,1,34,0,0.0144232,"\int \frac{E_n(b x)}{x^2} \, dx","Int[ExpIntegralE[n, b*x]/x^2,x]","\frac{E_2(b x)}{(2-n) x}-\frac{E_n(b x)}{(2-n) x}","\frac{E_2(b x)}{(2-n) x}-\frac{E_n(b x)}{(2-n) x}",1,"ExpIntegralE[2, b*x]/((2 - n)*x) - ExpIntegralE[n, b*x]/((2 - n)*x)","A",1,1,9,0.1111,1,"{6478}"
74,1,34,0,0.0148577,"\int \frac{E_n(b x)}{x^3} \, dx","Int[ExpIntegralE[n, b*x]/x^3,x]","\frac{E_3(b x)}{(3-n) x^2}-\frac{E_n(b x)}{(3-n) x^2}","\frac{E_3(b x)}{(3-n) x^2}-\frac{E_n(b x)}{(3-n) x^2}",1,"ExpIntegralE[3, b*x]/((3 - n)*x^2) - ExpIntegralE[n, b*x]/((3 - n)*x^2)","A",1,1,9,0.1111,1,"{6478}"
75,1,75,0,0.0582243,"\int (c+d x)^3 E_1(a+b x) \, dx","Int[(c + d*x)^3*ExpIntegralE[1, a + b*x],x]","-\frac{6 d^3 E_5(a+b x)}{b^4}-\frac{6 d^2 (c+d x) E_4(a+b x)}{b^3}-\frac{3 d (c+d x)^2 E_3(a+b x)}{b^2}-\frac{(c+d x)^3 E_2(a+b x)}{b}","-\frac{6 d^3 E_5(a+b x)}{b^4}-\frac{6 d^2 (c+d x) E_4(a+b x)}{b^3}-\frac{3 d (c+d x)^2 E_3(a+b x)}{b^2}-\frac{(c+d x)^3 E_2(a+b x)}{b}",1,"-(((c + d*x)^3*ExpIntegralE[2, a + b*x])/b) - (3*d*(c + d*x)^2*ExpIntegralE[3, a + b*x])/b^2 - (6*d^2*(c + d*x)*ExpIntegralE[4, a + b*x])/b^3 - (6*d^3*ExpIntegralE[5, a + b*x])/b^4","A",4,2,15,0.1333,1,"{6479, 6473}"
76,1,53,0,0.0327355,"\int (c+d x)^2 E_1(a+b x) \, dx","Int[(c + d*x)^2*ExpIntegralE[1, a + b*x],x]","-\frac{2 d^2 E_4(a+b x)}{b^3}-\frac{2 d (c+d x) E_3(a+b x)}{b^2}-\frac{(c+d x)^2 E_2(a+b x)}{b}","-\frac{2 d^2 E_4(a+b x)}{b^3}-\frac{2 d (c+d x) E_3(a+b x)}{b^2}-\frac{(c+d x)^2 E_2(a+b x)}{b}",1,"-(((c + d*x)^2*ExpIntegralE[2, a + b*x])/b) - (2*d*(c + d*x)*ExpIntegralE[3, a + b*x])/b^2 - (2*d^2*ExpIntegralE[4, a + b*x])/b^3","A",3,2,15,0.1333,1,"{6479, 6473}"
77,1,31,0,0.0134389,"\int (c+d x) E_1(a+b x) \, dx","Int[(c + d*x)*ExpIntegralE[1, a + b*x],x]","-\frac{d E_3(a+b x)}{b^2}-\frac{(c+d x) E_2(a+b x)}{b}","-\frac{d E_3(a+b x)}{b^2}-\frac{(c+d x) E_2(a+b x)}{b}",1,"-(((c + d*x)*ExpIntegralE[2, a + b*x])/b) - (d*ExpIntegralE[3, a + b*x])/b^2","A",2,2,13,0.1538,1,"{6479, 6473}"
78,1,12,0,0.0040122,"\int E_1(a+b x) \, dx","Int[ExpIntegralE[1, a + b*x],x]","-\frac{E_2(a+b x)}{b}","-\frac{E_2(a+b x)}{b}",1,"-(ExpIntegralE[2, a + b*x]/b)","A",1,1,7,0.1429,1,"{6473}"
79,0,0,0,0.0148363,"\int \frac{E_1(a+b x)}{c+d x} \, dx","Int[ExpIntegralE[1, a + b*x]/(c + d*x),x]","\int \frac{E_1(a+b x)}{c+d x} \, dx","\text{Int}\left(\frac{E_1(a+b x)}{c+d x},x\right)",0,"Defer[Int][ExpIntegralE[1, a + b*x]/(c + d*x), x]","N/A",0,0,0,0,-1,"{}"
80,1,84,0,0.3961179,"\int \frac{E_1(a+b x)}{(c+d x)^2} \, dx","Int[ExpIntegralE[1, a + b*x]/(c + d*x)^2,x]","-\frac{E_1(a+b x)}{d (c+d x)}-\frac{b \text{Ei}(-a-b x)}{d (b c-a d)}+\frac{b e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d (b c-a d)}","-\frac{E_1(a+b x)}{d (c+d x)}-\frac{b \text{Ei}(-a-b x)}{d (b c-a d)}+\frac{b e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d (b c-a d)}",1,"-(ExpIntegralE[1, a + b*x]/(d*(c + d*x))) - (b*ExpIntegralEi[-a - b*x])/(d*(b*c - a*d)) + (b*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(d*(b*c - a*d))","A",5,3,15,0.2000,1,"{6480, 6742, 2178}"
81,1,174,0,0.4745092,"\int \frac{E_1(a+b x)}{(c+d x)^3} \, dx","Int[ExpIntegralE[1, 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^2 (b c-a d)}-\frac{b^2 \text{Ei}(-a-b x)}{2 d (b c-a d)^2}+\frac{b^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{2 d (b c-a d)^2}-\frac{E_1(a+b x)}{2 d (c+d x)^2}-\frac{b e^{-a-b x}}{2 d (c+d x) (b c-a d)}","-\frac{b^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{2 d^2 (b c-a d)}-\frac{b^2 \text{Ei}(-a-b x)}{2 d (b c-a d)^2}+\frac{b^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{2 d (b c-a d)^2}-\frac{E_1(a+b x)}{2 d (c+d x)^2}-\frac{b e^{-a-b x}}{2 d (c+d x) (b c-a d)}",1,"-(b*E^(-a - b*x))/(2*d*(b*c - a*d)*(c + d*x)) - ExpIntegralE[1, a + b*x]/(2*d*(c + d*x)^2) - (b^2*ExpIntegralEi[-a - b*x])/(2*d*(b*c - a*d)^2) + (b^2*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(2*d*(b*c - a*d)^2) - (b^2*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(2*d^2*(b*c - a*d))","A",7,4,15,0.2667,1,"{6480, 6742, 2178, 2177}"
82,1,292,0,0.6404659,"\int \frac{E_1(a+b x)}{(c+d x)^4} \, dx","Int[ExpIntegralE[1, 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^3 (b c-a d)}-\frac{b^3 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{3 d^2 (b c-a d)^2}-\frac{b^3 \text{Ei}(-a-b x)}{3 d (b c-a d)^3}+\frac{b^3 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{3 d (b c-a d)^3}+\frac{b^2 e^{-a-b x}}{6 d^2 (c+d x) (b c-a d)}-\frac{b^2 e^{-a-b x}}{3 d (c+d x) (b c-a d)^2}-\frac{E_1(a+b x)}{3 d (c+d x)^3}-\frac{b e^{-a-b x}}{6 d (c+d x)^2 (b c-a d)}","\frac{b^3 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{6 d^3 (b c-a d)}-\frac{b^3 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{3 d^2 (b c-a d)^2}-\frac{b^3 \text{Ei}(-a-b x)}{3 d (b c-a d)^3}+\frac{b^3 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{3 d (b c-a d)^3}+\frac{b^2 e^{-a-b x}}{6 d^2 (c+d x) (b c-a d)}-\frac{b^2 e^{-a-b x}}{3 d (c+d x) (b c-a d)^2}-\frac{E_1(a+b x)}{3 d (c+d x)^3}-\frac{b e^{-a-b x}}{6 d (c+d x)^2 (b c-a d)}",1,"-(b*E^(-a - b*x))/(6*d*(b*c - a*d)*(c + d*x)^2) - (b^2*E^(-a - b*x))/(3*d*(b*c - a*d)^2*(c + d*x)) + (b^2*E^(-a - b*x))/(6*d^2*(b*c - a*d)*(c + d*x)) - ExpIntegralE[1, a + b*x]/(3*d*(c + d*x)^3) - (b^3*ExpIntegralEi[-a - b*x])/(3*d*(b*c - a*d)^3) + (b^3*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(3*d*(b*c - a*d)^3) - (b^3*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(3*d^2*(b*c - a*d)^2) + (b^3*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(6*d^3*(b*c - a*d))","A",10,4,15,0.2667,1,"{6480, 6742, 2178, 2177}"
83,1,75,0,0.0646627,"\int (c+d x)^3 E_2(a+b x) \, dx","Int[(c + d*x)^3*ExpIntegralE[2, a + b*x],x]","-\frac{6 d^3 E_6(a+b x)}{b^4}-\frac{6 d^2 (c+d x) E_5(a+b x)}{b^3}-\frac{3 d (c+d x)^2 E_4(a+b x)}{b^2}-\frac{(c+d x)^3 E_3(a+b x)}{b}","-\frac{6 d^3 E_6(a+b x)}{b^4}-\frac{6 d^2 (c+d x) E_5(a+b x)}{b^3}-\frac{3 d (c+d x)^2 E_4(a+b x)}{b^2}-\frac{(c+d x)^3 E_3(a+b x)}{b}",1,"-(((c + d*x)^3*ExpIntegralE[3, a + b*x])/b) - (3*d*(c + d*x)^2*ExpIntegralE[4, a + b*x])/b^2 - (6*d^2*(c + d*x)*ExpIntegralE[5, a + b*x])/b^3 - (6*d^3*ExpIntegralE[6, a + b*x])/b^4","A",4,2,15,0.1333,1,"{6479, 6473}"
84,1,53,0,0.0332211,"\int (c+d x)^2 E_2(a+b x) \, dx","Int[(c + d*x)^2*ExpIntegralE[2, a + b*x],x]","-\frac{2 d^2 E_5(a+b x)}{b^3}-\frac{2 d (c+d x) E_4(a+b x)}{b^2}-\frac{(c+d x)^2 E_3(a+b x)}{b}","-\frac{2 d^2 E_5(a+b x)}{b^3}-\frac{2 d (c+d x) E_4(a+b x)}{b^2}-\frac{(c+d x)^2 E_3(a+b x)}{b}",1,"-(((c + d*x)^2*ExpIntegralE[3, a + b*x])/b) - (2*d*(c + d*x)*ExpIntegralE[4, a + b*x])/b^2 - (2*d^2*ExpIntegralE[5, a + b*x])/b^3","A",3,2,15,0.1333,1,"{6479, 6473}"
85,1,31,0,0.0145391,"\int (c+d x) E_2(a+b x) \, dx","Int[(c + d*x)*ExpIntegralE[2, a + b*x],x]","-\frac{d E_4(a+b x)}{b^2}-\frac{(c+d x) E_3(a+b x)}{b}","-\frac{d E_4(a+b x)}{b^2}-\frac{(c+d x) E_3(a+b x)}{b}",1,"-(((c + d*x)*ExpIntegralE[3, a + b*x])/b) - (d*ExpIntegralE[4, a + b*x])/b^2","A",2,2,13,0.1538,1,"{6479, 6473}"
86,1,12,0,0.0038359,"\int E_2(a+b x) \, dx","Int[ExpIntegralE[2, a + b*x],x]","-\frac{E_3(a+b x)}{b}","-\frac{E_3(a+b x)}{b}",1,"-(ExpIntegralE[3, a + b*x]/b)","A",1,1,7,0.1429,1,"{6473}"
87,0,0,0,0.015451,"\int \frac{E_2(a+b x)}{c+d x} \, dx","Int[ExpIntegralE[2, a + b*x]/(c + d*x),x]","\int \frac{E_2(a+b x)}{c+d x} \, dx","\text{Int}\left(\frac{E_2(a+b x)}{c+d x},x\right)",0,"Defer[Int][ExpIntegralE[2, a + b*x]/(c + d*x), x]","N/A",0,0,0,0,-1,"{}"
88,0,0,0,0.0333712,"\int \frac{E_2(a+b x)}{(c+d x)^2} \, dx","Int[ExpIntegralE[2, a + b*x]/(c + d*x)^2,x]","\int \frac{E_2(a+b x)}{(c+d x)^2} \, dx","-\frac{b \text{Int}\left(\frac{E_1(a+b x)}{c+d x},x\right)}{d}-\frac{E_2(a+b x)}{d (c+d x)}",0,"-(ExpIntegralE[2, a + b*x]/(d*(c + d*x))) - (b*Defer[Int][ExpIntegralE[1, a + b*x]/(c + d*x), x])/d","N/A",0,0,0,0,-1,"{}"
89,1,117,0,0.350468,"\int \frac{E_2(a+b x)}{(c+d x)^3} \, dx","Int[ExpIntegralE[2, a + b*x]/(c + d*x)^3,x]","\frac{b^2 \text{Ei}(-a-b x)}{2 d^2 (b c-a d)}-\frac{b^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{2 d^2 (b c-a d)}+\frac{b E_1(a+b x)}{2 d^2 (c+d x)}-\frac{E_2(a+b x)}{2 d (c+d x)^2}","\frac{b^2 \text{Ei}(-a-b x)}{2 d^2 (b c-a d)}-\frac{b^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{2 d^2 (b c-a d)}+\frac{b E_1(a+b x)}{2 d^2 (c+d x)}-\frac{E_2(a+b x)}{2 d (c+d x)^2}",1,"(b*ExpIntegralE[1, a + b*x])/(2*d^2*(c + d*x)) - ExpIntegralE[2, a + b*x]/(2*d*(c + d*x)^2) + (b^2*ExpIntegralEi[-a - b*x])/(2*d^2*(b*c - a*d)) - (b^2*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(2*d^2*(b*c - a*d))","A",6,3,15,0.2000,1,"{6480, 6742, 2178}"
90,1,198,0,0.4764346,"\int \frac{E_2(a+b x)}{(c+d x)^4} \, dx","Int[ExpIntegralE[2, 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^3 (b c-a d)}+\frac{b^3 \text{Ei}(-a-b x)}{6 d^2 (b c-a d)^2}-\frac{b^3 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{6 d^2 (b c-a d)^2}+\frac{b^2 e^{-a-b x}}{6 d^2 (c+d x) (b c-a d)}+\frac{b E_1(a+b x)}{6 d^2 (c+d x)^2}-\frac{E_2(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^3 (b c-a d)}+\frac{b^3 \text{Ei}(-a-b x)}{6 d^2 (b c-a d)^2}-\frac{b^3 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{6 d^2 (b c-a d)^2}+\frac{b^2 e^{-a-b x}}{6 d^2 (c+d x) (b c-a d)}+\frac{b E_1(a+b x)}{6 d^2 (c+d x)^2}-\frac{E_2(a+b x)}{3 d (c+d x)^3}",1,"(b^2*E^(-a - b*x))/(6*d^2*(b*c - a*d)*(c + d*x)) + (b*ExpIntegralE[1, a + b*x])/(6*d^2*(c + d*x)^2) - ExpIntegralE[2, a + b*x]/(3*d*(c + d*x)^3) + (b^3*ExpIntegralEi[-a - b*x])/(6*d^2*(b*c - a*d)^2) - (b^3*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(6*d^2*(b*c - a*d)^2) + (b^3*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(6*d^3*(b*c - a*d))","A",8,4,15,0.2667,1,"{6480, 6742, 2178, 2177}"
91,1,75,0,0.064917,"\int (c+d x)^3 E_3(a+b x) \, dx","Int[(c + d*x)^3*ExpIntegralE[3, a + b*x],x]","-\frac{6 d^3 E_7(a+b x)}{b^4}-\frac{6 d^2 (c+d x) E_6(a+b x)}{b^3}-\frac{3 d (c+d x)^2 E_5(a+b x)}{b^2}-\frac{(c+d x)^3 E_4(a+b x)}{b}","-\frac{6 d^3 E_7(a+b x)}{b^4}-\frac{6 d^2 (c+d x) E_6(a+b x)}{b^3}-\frac{3 d (c+d x)^2 E_5(a+b x)}{b^2}-\frac{(c+d x)^3 E_4(a+b x)}{b}",1,"-(((c + d*x)^3*ExpIntegralE[4, a + b*x])/b) - (3*d*(c + d*x)^2*ExpIntegralE[5, a + b*x])/b^2 - (6*d^2*(c + d*x)*ExpIntegralE[6, a + b*x])/b^3 - (6*d^3*ExpIntegralE[7, a + b*x])/b^4","A",4,2,15,0.1333,1,"{6479, 6473}"
92,1,53,0,0.0352081,"\int (c+d x)^2 E_3(a+b x) \, dx","Int[(c + d*x)^2*ExpIntegralE[3, a + b*x],x]","-\frac{2 d^2 E_6(a+b x)}{b^3}-\frac{2 d (c+d x) E_5(a+b x)}{b^2}-\frac{(c+d x)^2 E_4(a+b x)}{b}","-\frac{2 d^2 E_6(a+b x)}{b^3}-\frac{2 d (c+d x) E_5(a+b x)}{b^2}-\frac{(c+d x)^2 E_4(a+b x)}{b}",1,"-(((c + d*x)^2*ExpIntegralE[4, a + b*x])/b) - (2*d*(c + d*x)*ExpIntegralE[5, a + b*x])/b^2 - (2*d^2*ExpIntegralE[6, a + b*x])/b^3","A",3,2,15,0.1333,1,"{6479, 6473}"
93,1,31,0,0.0152547,"\int (c+d x) E_3(a+b x) \, dx","Int[(c + d*x)*ExpIntegralE[3, a + b*x],x]","-\frac{d E_5(a+b x)}{b^2}-\frac{(c+d x) E_4(a+b x)}{b}","-\frac{d E_5(a+b x)}{b^2}-\frac{(c+d x) E_4(a+b x)}{b}",1,"-(((c + d*x)*ExpIntegralE[4, a + b*x])/b) - (d*ExpIntegralE[5, a + b*x])/b^2","A",2,2,13,0.1538,1,"{6479, 6473}"
94,1,12,0,0.0041762,"\int E_3(a+b x) \, dx","Int[ExpIntegralE[3, a + b*x],x]","-\frac{E_4(a+b x)}{b}","-\frac{E_4(a+b x)}{b}",1,"-(ExpIntegralE[4, a + b*x]/b)","A",1,1,7,0.1429,1,"{6473}"
95,0,0,0,0.0143122,"\int \frac{E_3(a+b x)}{c+d x} \, dx","Int[ExpIntegralE[3, a + b*x]/(c + d*x),x]","\int \frac{E_3(a+b x)}{c+d x} \, dx","\text{Int}\left(\frac{E_3(a+b x)}{c+d x},x\right)",0,"Defer[Int][ExpIntegralE[3, a + b*x]/(c + d*x), x]","N/A",0,0,0,0,-1,"{}"
96,0,0,0,0.0365853,"\int \frac{E_3(a+b x)}{(c+d x)^2} \, dx","Int[ExpIntegralE[3, a + b*x]/(c + d*x)^2,x]","\int \frac{E_3(a+b x)}{(c+d x)^2} \, dx","-\frac{b \text{Int}\left(\frac{E_2(a+b x)}{c+d x},x\right)}{d}-\frac{E_3(a+b x)}{d (c+d x)}",0,"-(ExpIntegralE[3, a + b*x]/(d*(c + d*x))) - (b*Defer[Int][ExpIntegralE[2, a + b*x]/(c + d*x), x])/d","N/A",0,0,0,0,-1,"{}"
97,0,0,0,0.0539905,"\int \frac{E_3(a+b x)}{(c+d x)^3} \, dx","Int[ExpIntegralE[3, a + b*x]/(c + d*x)^3,x]","\int \frac{E_3(a+b x)}{(c+d x)^3} \, dx","\frac{b^2 \text{Int}\left(\frac{E_1(a+b x)}{c+d x},x\right)}{2 d^2}+\frac{b E_2(a+b x)}{2 d^2 (c+d x)}-\frac{E_3(a+b x)}{2 d (c+d x)^2}",0,"(b*ExpIntegralE[2, a + b*x])/(2*d^2*(c + d*x)) - ExpIntegralE[3, a + b*x]/(2*d*(c + d*x)^2) + (b^2*Defer[Int][ExpIntegralE[1, a + b*x]/(c + d*x), x])/(2*d^2)","N/A",0,0,0,0,-1,"{}"
98,1,141,0,0.3453628,"\int \frac{E_3(a+b x)}{(c+d x)^4} \, dx","Int[ExpIntegralE[3, a + b*x]/(c + d*x)^4,x]","-\frac{b^3 \text{Ei}(-a-b x)}{6 d^3 (b c-a d)}+\frac{b^3 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{6 d^3 (b c-a d)}-\frac{b^2 E_1(a+b x)}{6 d^3 (c+d x)}+\frac{b E_2(a+b x)}{6 d^2 (c+d x)^2}-\frac{E_3(a+b x)}{3 d (c+d x)^3}","-\frac{b^3 \text{Ei}(-a-b x)}{6 d^3 (b c-a d)}+\frac{b^3 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{6 d^3 (b c-a d)}-\frac{b^2 E_1(a+b x)}{6 d^3 (c+d x)}+\frac{b E_2(a+b x)}{6 d^2 (c+d x)^2}-\frac{E_3(a+b x)}{3 d (c+d x)^3}",1,"-(b^2*ExpIntegralE[1, a + b*x])/(6*d^3*(c + d*x)) + (b*ExpIntegralE[2, a + b*x])/(6*d^2*(c + d*x)^2) - ExpIntegralE[3, a + b*x]/(3*d*(c + d*x)^3) - (b^3*ExpIntegralEi[-a - b*x])/(6*d^3*(b*c - a*d)) + (b^3*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(6*d^3*(b*c - a*d))","A",7,3,15,0.2000,1,"{6480, 6742, 2178}"
99,1,206,0,0.2949107,"\int (c+d x)^4 E_{-1}(a+b x) \, dx","Int[(c + d*x)^4*ExpIntegralE[-1, a + b*x],x]","-\frac{4 d^3 e^{-a-b x} (b c-a d)}{b^5}-\frac{4 d^2 e^{-a-b x} (b c-a d)^2}{b^5}+\frac{4 d (b c-a d)^3 \text{Ei}(-a-b x)}{b^5}-\frac{8 d^4 e^{-a-b x}}{b^5}-\frac{8 d^3 e^{-a-b x} (c+d x)}{b^4}-\frac{4 d^2 e^{-a-b x} (c+d x) (b c-a d)}{b^4}-\frac{4 d^2 e^{-a-b x} (c+d x)^2}{b^3}-\frac{e^{-a-b x} (c+d x)^4}{b (a+b x)}","-\frac{4 d^3 e^{-a-b x} (b c-a d)}{b^5}-\frac{4 d^2 e^{-a-b x} (b c-a d)^2}{b^5}+\frac{4 d (b c-a d)^3 \text{Ei}(-a-b x)}{b^5}-\frac{8 d^4 e^{-a-b x}}{b^5}-\frac{8 d^3 e^{-a-b x} (c+d x)}{b^4}-\frac{4 d^2 e^{-a-b x} (c+d x) (b c-a d)}{b^4}-\frac{4 d^2 e^{-a-b x} (c+d x)^2}{b^3}-\frac{e^{-a-b x} (c+d x)^4}{b (a+b x)}",1,"(-8*d^4*E^(-a - b*x))/b^5 - (4*d^3*(b*c - a*d)*E^(-a - b*x))/b^5 - (4*d^2*(b*c - a*d)^2*E^(-a - b*x))/b^5 - (8*d^3*E^(-a - b*x)*(c + d*x))/b^4 - (4*d^2*(b*c - a*d)*E^(-a - b*x)*(c + d*x))/b^4 - (4*d^2*E^(-a - b*x)*(c + d*x)^2)/b^3 - (E^(-a - b*x)*(c + d*x)^4)/(b*(a + b*x)) + (4*d*(b*c - a*d)^3*ExpIntegralEi[-a - b*x])/b^5","A",10,5,15,0.3333,1,"{6479, 2199, 2194, 2178, 2176}"
100,1,122,0,0.2211728,"\int (c+d x)^3 E_{-1}(a+b x) \, dx","Int[(c + d*x)^3*ExpIntegralE[-1, a + b*x],x]","-\frac{3 d^2 e^{-a-b x} (b c-a d)}{b^4}+\frac{3 d (b c-a d)^2 \text{Ei}(-a-b x)}{b^4}-\frac{3 d^3 e^{-a-b x}}{b^4}-\frac{3 d^2 e^{-a-b x} (c+d x)}{b^3}-\frac{e^{-a-b x} (c+d x)^3}{b (a+b x)}","-\frac{3 d^2 e^{-a-b x} (b c-a d)}{b^4}+\frac{3 d (b c-a d)^2 \text{Ei}(-a-b x)}{b^4}-\frac{3 d^3 e^{-a-b x}}{b^4}-\frac{3 d^2 e^{-a-b x} (c+d x)}{b^3}-\frac{e^{-a-b x} (c+d x)^3}{b (a+b x)}",1,"(-3*d^3*E^(-a - b*x))/b^4 - (3*d^2*(b*c - a*d)*E^(-a - b*x))/b^4 - (3*d^2*E^(-a - b*x)*(c + d*x))/b^3 - (E^(-a - b*x)*(c + d*x)^3)/(b*(a + b*x)) + (3*d*(b*c - a*d)^2*ExpIntegralEi[-a - b*x])/b^4","A",7,5,15,0.3333,1,"{6479, 2199, 2194, 2178, 2176}"
101,1,71,0,0.1463937,"\int (c+d x)^2 E_{-1}(a+b x) \, dx","Int[(c + d*x)^2*ExpIntegralE[-1, a + b*x],x]","\frac{2 d (b c-a d) \text{Ei}(-a-b x)}{b^3}-\frac{2 d^2 e^{-a-b x}}{b^3}-\frac{e^{-a-b x} (c+d x)^2}{b (a+b x)}","\frac{2 d (b c-a d) \text{Ei}(-a-b x)}{b^3}-\frac{2 d^2 e^{-a-b x}}{b^3}-\frac{e^{-a-b x} (c+d x)^2}{b (a+b x)}",1,"(-2*d^2*E^(-a - b*x))/b^3 - (E^(-a - b*x)*(c + d*x)^2)/(b*(a + b*x)) + (2*d*(b*c - a*d)*ExpIntegralEi[-a - b*x])/b^3","A",5,4,15,0.2667,1,"{6479, 2199, 2194, 2178}"
102,1,42,0,0.0397894,"\int (c+d x) E_{-1}(a+b x) \, dx","Int[(c + d*x)*ExpIntegralE[-1, a + b*x],x]","\frac{d \text{Ei}(-a-b x)}{b^2}-\frac{e^{-a-b x} (c+d x)}{b (a+b x)}","\frac{d \text{Ei}(-a-b x)}{b^2}-\frac{e^{-a-b x} (c+d x)}{b (a+b x)}",1,"-((E^(-a - b*x)*(c + d*x))/(b*(a + b*x))) + (d*ExpIntegralEi[-a - b*x])/b^2","A",2,2,13,0.1538,1,"{6479, 2178}"
103,1,22,0,0.0055719,"\int E_{-1}(a+b x) \, dx","Int[ExpIntegralE[-1, a + b*x],x]","-\frac{e^{-a-b x}}{b (a+b x)}","-\frac{e^{-a-b x}}{b (a+b x)}",1,"-(E^(-a - b*x)/(b*(a + b*x)))","A",1,1,7,0.1429,1,"{6473}"
104,1,157,0,0.4167022,"\int \frac{E_{-1}(a+b x)}{c+d x} \, dx","Int[ExpIntegralE[-1, a + b*x]/(c + d*x),x]","-\frac{d \text{Ei}(-a-b x)}{(b c-a d)^2}+\frac{d e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^2}-\frac{e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{b c-a d}-\frac{d e^{-a-b x}}{b (c+d x) (b c-a d)}-\frac{e^{-a-b x}}{b (a+b x) (c+d x)}","-\frac{d \text{Ei}(-a-b x)}{(b c-a d)^2}+\frac{d e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^2}-\frac{e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{b c-a d}-\frac{d e^{-a-b x}}{b (c+d x) (b c-a d)}-\frac{e^{-a-b x}}{b (a+b x) (c+d x)}",1,"-((d*E^(-a - b*x))/(b*(b*c - a*d)*(c + d*x))) - E^(-a - b*x)/(b*(a + b*x)*(c + d*x)) - (d*ExpIntegralEi[-a - b*x])/(b*c - a*d)^2 + (d*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(b*c - a*d)^2 - (E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(b*c - a*d)","A",7,4,15,0.2667,1,"{6479, 6742, 2178, 2177}"
105,1,258,0,0.5607953,"\int \frac{E_{-1}(a+b x)}{(c+d x)^2} \, dx","Int[ExpIntegralE[-1, a + b*x]/(c + d*x)^2,x]","-\frac{2 b d \text{Ei}(-a-b x)}{(b c-a d)^3}+\frac{2 b d e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^3}-\frac{2 b e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^2}+\frac{b e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d (b c-a d)}-\frac{2 d e^{-a-b x}}{(c+d x) (b c-a d)^2}-\frac{d e^{-a-b x}}{b (c+d x)^2 (b c-a d)}+\frac{e^{-a-b x}}{(c+d x) (b c-a d)}-\frac{e^{-a-b x}}{b (a+b x) (c+d x)^2}","-\frac{2 b d \text{Ei}(-a-b x)}{(b c-a d)^3}+\frac{2 b d e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^3}-\frac{2 b e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^2}+\frac{b e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d (b c-a d)}-\frac{2 d e^{-a-b x}}{(c+d x) (b c-a d)^2}-\frac{d e^{-a-b x}}{b (c+d x)^2 (b c-a d)}+\frac{e^{-a-b x}}{(c+d x) (b c-a d)}-\frac{e^{-a-b x}}{b (a+b x) (c+d x)^2}",1,"-((d*E^(-a - b*x))/(b*(b*c - a*d)*(c + d*x)^2)) - E^(-a - b*x)/(b*(a + b*x)*(c + d*x)^2) - (2*d*E^(-a - b*x))/((b*c - a*d)^2*(c + d*x)) + E^(-a - b*x)/((b*c - a*d)*(c + d*x)) - (2*b*d*ExpIntegralEi[-a - b*x])/(b*c - a*d)^3 + (2*b*d*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(b*c - a*d)^3 - (2*b*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(b*c - a*d)^2 + (b*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(d*(b*c - a*d))","A",10,4,15,0.2667,1,"{6479, 6742, 2178, 2177}"
106,1,416,0,0.83673,"\int \frac{E_{-1}(a+b x)}{(c+d x)^3} \, dx","Int[ExpIntegralE[-1, 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^2 (b c-a d)}-\frac{3 b^2 d \text{Ei}(-a-b x)}{(b c-a d)^4}+\frac{3 b^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{2 d (b c-a d)^2}-\frac{3 b^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^3}+\frac{3 b^2 d e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^4}-\frac{b e^{-a-b x}}{2 d (c+d x) (b c-a d)}+\frac{3 b e^{-a-b x}}{2 (c+d x) (b c-a d)^2}-\frac{3 b d e^{-a-b x}}{(c+d x) (b c-a d)^3}+\frac{e^{-a-b x}}{2 (c+d x)^2 (b c-a d)}-\frac{3 d e^{-a-b x}}{2 (c+d x)^2 (b c-a d)^2}-\frac{d e^{-a-b x}}{b (c+d x)^3 (b c-a d)}-\frac{e^{-a-b x}}{b (a+b x) (c+d x)^3}","-\frac{b^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{2 d^2 (b c-a d)}-\frac{3 b^2 d \text{Ei}(-a-b x)}{(b c-a d)^4}+\frac{3 b^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{2 d (b c-a d)^2}-\frac{3 b^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^3}+\frac{3 b^2 d e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^4}-\frac{b e^{-a-b x}}{2 d (c+d x) (b c-a d)}+\frac{3 b e^{-a-b x}}{2 (c+d x) (b c-a d)^2}-\frac{3 b d e^{-a-b x}}{(c+d x) (b c-a d)^3}+\frac{e^{-a-b x}}{2 (c+d x)^2 (b c-a d)}-\frac{3 d e^{-a-b x}}{2 (c+d x)^2 (b c-a d)^2}-\frac{d e^{-a-b x}}{b (c+d x)^3 (b c-a d)}-\frac{e^{-a-b x}}{b (a+b x) (c+d x)^3}",1,"-((d*E^(-a - b*x))/(b*(b*c - a*d)*(c + d*x)^3)) - E^(-a - b*x)/(b*(a + b*x)*(c + d*x)^3) - (3*d*E^(-a - b*x))/(2*(b*c - a*d)^2*(c + d*x)^2) + E^(-a - b*x)/(2*(b*c - a*d)*(c + d*x)^2) - (3*b*d*E^(-a - b*x))/((b*c - a*d)^3*(c + d*x)) + (3*b*E^(-a - b*x))/(2*(b*c - a*d)^2*(c + d*x)) - (b*E^(-a - b*x))/(2*d*(b*c - a*d)*(c + d*x)) - (3*b^2*d*ExpIntegralEi[-a - b*x])/(b*c - a*d)^4 + (3*b^2*d*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(b*c - a*d)^4 - (3*b^2*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(b*c - a*d)^3 + (3*b^2*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(2*d*(b*c - a*d)^2) - (b^2*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(2*d^2*(b*c - a*d))","A",14,4,15,0.2667,1,"{6479, 6742, 2178, 2177}"
107,1,144,0,0.2429838,"\int (c+d x)^4 E_{-2}(a+b x) \, dx","Int[(c + d*x)^4*ExpIntegralE[-2, a + b*x],x]","-\frac{12 d^3 e^{-a-b x} (b c-a d)}{b^5}+\frac{12 d^2 (b c-a d)^2 \text{Ei}(-a-b x)}{b^5}-\frac{12 d^4 e^{-a-b x}}{b^5}-\frac{12 d^3 e^{-a-b x} (c+d x)}{b^4}-\frac{4 d e^{-a-b x} (c+d x)^3}{b^2 (a+b x)}-\frac{(c+d x)^4 E_{-1}(a+b x)}{b}","-\frac{12 d^3 e^{-a-b x} (b c-a d)}{b^5}+\frac{12 d^2 (b c-a d)^2 \text{Ei}(-a-b x)}{b^5}-\frac{12 d^4 e^{-a-b x}}{b^5}-\frac{12 d^3 e^{-a-b x} (c+d x)}{b^4}-\frac{4 d e^{-a-b x} (c+d x)^3}{b^2 (a+b x)}-\frac{(c+d x)^4 E_{-1}(a+b x)}{b}",1,"(-12*d^4*E^(-a - b*x))/b^5 - (12*d^3*(b*c - a*d)*E^(-a - b*x))/b^5 - (12*d^3*E^(-a - b*x)*(c + d*x))/b^4 - (4*d*E^(-a - b*x)*(c + d*x)^3)/(b^2*(a + b*x)) - ((c + d*x)^4*ExpIntegralE[-1, a + b*x])/b + (12*d^2*(b*c - a*d)^2*ExpIntegralEi[-a - b*x])/b^5","A",8,5,15,0.3333,1,"{6479, 2199, 2194, 2178, 2176}"
108,1,93,0,0.1701178,"\int (c+d x)^3 E_{-2}(a+b x) \, dx","Int[(c + d*x)^3*ExpIntegralE[-2, a + b*x],x]","\frac{6 d^2 (b c-a d) \text{Ei}(-a-b x)}{b^4}-\frac{6 d^3 e^{-a-b x}}{b^4}-\frac{3 d e^{-a-b x} (c+d x)^2}{b^2 (a+b x)}-\frac{(c+d x)^3 E_{-1}(a+b x)}{b}","\frac{6 d^2 (b c-a d) \text{Ei}(-a-b x)}{b^4}-\frac{6 d^3 e^{-a-b x}}{b^4}-\frac{3 d e^{-a-b x} (c+d x)^2}{b^2 (a+b x)}-\frac{(c+d x)^3 E_{-1}(a+b x)}{b}",1,"(-6*d^3*E^(-a - b*x))/b^4 - (3*d*E^(-a - b*x)*(c + d*x)^2)/(b^2*(a + b*x)) - ((c + d*x)^3*ExpIntegralE[-1, a + b*x])/b + (6*d^2*(b*c - a*d)*ExpIntegralEi[-a - b*x])/b^4","A",6,4,15,0.2667,1,"{6479, 2199, 2194, 2178}"
109,1,65,0,0.0634696,"\int (c+d x)^2 E_{-2}(a+b x) \, dx","Int[(c + d*x)^2*ExpIntegralE[-2, a + b*x],x]","\frac{2 d^2 \text{Ei}(-a-b x)}{b^3}-\frac{2 d e^{-a-b x} (c+d x)}{b^2 (a+b x)}-\frac{(c+d x)^2 E_{-1}(a+b x)}{b}","\frac{2 d^2 \text{Ei}(-a-b x)}{b^3}-\frac{2 d e^{-a-b x} (c+d x)}{b^2 (a+b x)}-\frac{(c+d x)^2 E_{-1}(a+b x)}{b}",1,"(-2*d*E^(-a - b*x)*(c + d*x))/(b^2*(a + b*x)) - ((c + d*x)^2*ExpIntegralE[-1, a + b*x])/b + (2*d^2*ExpIntegralEi[-a - b*x])/b^3","A",3,2,15,0.1333,1,"{6479, 2178}"
110,1,41,0,0.0213565,"\int (c+d x) E_{-2}(a+b x) \, dx","Int[(c + d*x)*ExpIntegralE[-2, a + b*x],x]","-\frac{d e^{-a-b x}}{b^2 (a+b x)}-\frac{(c+d x) E_{-1}(a+b x)}{b}","-\frac{d e^{-a-b x}}{b^2 (a+b x)}-\frac{(c+d x) E_{-1}(a+b x)}{b}",1,"-((d*E^(-a - b*x))/(b^2*(a + b*x))) - ((c + d*x)*ExpIntegralE[-1, a + b*x])/b","A",2,2,13,0.1538,1,"{6479, 6473}"
111,1,12,0,0.0042156,"\int E_{-2}(a+b x) \, dx","Int[ExpIntegralE[-2, a + b*x],x]","-\frac{E_{-1}(a+b x)}{b}","-\frac{E_{-1}(a+b x)}{b}",1,"-(ExpIntegralE[-1, a + b*x]/b)","A",1,1,7,0.1429,1,"{6473}"
112,1,287,0,0.6457536,"\int \frac{E_{-2}(a+b x)}{c+d x} \, dx","Int[ExpIntegralE[-2, a + b*x]/(c + d*x),x]","\frac{d^2 e^{-a-b x}}{b^2 (c+d x)^2 (b c-a d)}+\frac{d e^{-a-b x}}{b^2 (a+b x) (c+d x)^2}+\frac{2 d^2 \text{Ei}(-a-b x)}{(b c-a d)^3}-\frac{2 d^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^3}+\frac{2 d^2 e^{-a-b x}}{b (c+d x) (b c-a d)^2}-\frac{E_{-1}(a+b x)}{b (c+d x)}+\frac{2 d e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^2}-\frac{e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{b c-a d}-\frac{d e^{-a-b x}}{b (c+d x) (b c-a d)}","\frac{d^2 e^{-a-b x}}{b^2 (c+d x)^2 (b c-a d)}+\frac{d e^{-a-b x}}{b^2 (a+b x) (c+d x)^2}+\frac{2 d^2 \text{Ei}(-a-b x)}{(b c-a d)^3}-\frac{2 d^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^3}+\frac{2 d^2 e^{-a-b x}}{b (c+d x) (b c-a d)^2}-\frac{E_{-1}(a+b x)}{b (c+d x)}+\frac{2 d e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^2}-\frac{e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{b c-a d}-\frac{d e^{-a-b x}}{b (c+d x) (b c-a d)}",1,"(d^2*E^(-a - b*x))/(b^2*(b*c - a*d)*(c + d*x)^2) + (d*E^(-a - b*x))/(b^2*(a + b*x)*(c + d*x)^2) + (2*d^2*E^(-a - b*x))/(b*(b*c - a*d)^2*(c + d*x)) - (d*E^(-a - b*x))/(b*(b*c - a*d)*(c + d*x)) - ExpIntegralE[-1, a + b*x]/(b*(c + d*x)) + (2*d^2*ExpIntegralEi[-a - b*x])/(b*c - a*d)^3 - (2*d^2*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(b*c - a*d)^3 + (2*d*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(b*c - a*d)^2 - (E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(b*c - a*d)","A",11,4,15,0.2667,1,"{6479, 6742, 2178, 2177}"
113,1,422,0,0.8532311,"\int \frac{E_{-2}(a+b x)}{(c+d x)^2} \, dx","Int[ExpIntegralE[-2, a + b*x]/(c + d*x)^2,x]","\frac{2 d^2 e^{-a-b x}}{b^2 (c+d x)^3 (b c-a d)}+\frac{2 d e^{-a-b x}}{b^2 (a+b x) (c+d x)^3}+\frac{6 b d^2 \text{Ei}(-a-b x)}{(b c-a d)^4}-\frac{6 b d^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^4}+\frac{6 d^2 e^{-a-b x}}{(c+d x) (b c-a d)^3}+\frac{3 d^2 e^{-a-b x}}{b (c+d x)^2 (b c-a d)^2}-\frac{E_{-1}(a+b x)}{b (c+d x)^2}+\frac{6 b d e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^3}-\frac{3 b e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^2}+\frac{b e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d (b c-a d)}-\frac{3 d e^{-a-b x}}{(c+d x) (b c-a d)^2}-\frac{d e^{-a-b x}}{b (c+d x)^2 (b c-a d)}+\frac{e^{-a-b x}}{(c+d x) (b c-a d)}","\frac{2 d^2 e^{-a-b x}}{b^2 (c+d x)^3 (b c-a d)}+\frac{2 d e^{-a-b x}}{b^2 (a+b x) (c+d x)^3}+\frac{6 b d^2 \text{Ei}(-a-b x)}{(b c-a d)^4}-\frac{6 b d^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^4}+\frac{6 d^2 e^{-a-b x}}{(c+d x) (b c-a d)^3}+\frac{3 d^2 e^{-a-b x}}{b (c+d x)^2 (b c-a d)^2}-\frac{E_{-1}(a+b x)}{b (c+d x)^2}+\frac{6 b d e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^3}-\frac{3 b e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^2}+\frac{b e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d (b c-a d)}-\frac{3 d e^{-a-b x}}{(c+d x) (b c-a d)^2}-\frac{d e^{-a-b x}}{b (c+d x)^2 (b c-a d)}+\frac{e^{-a-b x}}{(c+d x) (b c-a d)}",1,"(2*d^2*E^(-a - b*x))/(b^2*(b*c - a*d)*(c + d*x)^3) + (2*d*E^(-a - b*x))/(b^2*(a + b*x)*(c + d*x)^3) + (3*d^2*E^(-a - b*x))/(b*(b*c - a*d)^2*(c + d*x)^2) - (d*E^(-a - b*x))/(b*(b*c - a*d)*(c + d*x)^2) + (6*d^2*E^(-a - b*x))/((b*c - a*d)^3*(c + d*x)) - (3*d*E^(-a - b*x))/((b*c - a*d)^2*(c + d*x)) + E^(-a - b*x)/((b*c - a*d)*(c + d*x)) - ExpIntegralE[-1, a + b*x]/(b*(c + d*x)^2) + (6*b*d^2*ExpIntegralEi[-a - b*x])/(b*c - a*d)^4 - (6*b*d^2*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(b*c - a*d)^4 + (6*b*d*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(b*c - a*d)^3 - (3*b*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(b*c - a*d)^2 + (b*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(d*(b*c - a*d))","A",15,4,15,0.2667,1,"{6479, 6742, 2178, 2177}"
114,1,609,0,1.2677095,"\int \frac{E_{-2}(a+b x)}{(c+d x)^3} \, dx","Int[ExpIntegralE[-2, a + b*x]/(c + d*x)^3,x]","\frac{12 b^2 d^2 \text{Ei}(-a-b x)}{(b c-a d)^5}-\frac{b^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{2 d^2 (b c-a d)}-\frac{12 b^2 d^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^5}+\frac{3 d^2 e^{-a-b x}}{b^2 (c+d x)^4 (b c-a d)}+\frac{2 b^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d (b c-a d)^2}-\frac{6 b^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^3}+\frac{12 b^2 d e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^4}+\frac{3 d e^{-a-b x}}{b^2 (a+b x) (c+d x)^4}+\frac{12 b d^2 e^{-a-b x}}{(c+d x) (b c-a d)^4}+\frac{6 d^2 e^{-a-b x}}{(c+d x)^2 (b c-a d)^3}+\frac{4 d^2 e^{-a-b x}}{b (c+d x)^3 (b c-a d)^2}-\frac{E_{-1}(a+b x)}{b (c+d x)^3}-\frac{b e^{-a-b x}}{2 d (c+d x) (b c-a d)}+\frac{2 b e^{-a-b x}}{(c+d x) (b c-a d)^2}-\frac{6 b d e^{-a-b x}}{(c+d x) (b c-a d)^3}+\frac{e^{-a-b x}}{2 (c+d x)^2 (b c-a d)}-\frac{2 d e^{-a-b x}}{(c+d x)^2 (b c-a d)^2}-\frac{d e^{-a-b x}}{b (c+d x)^3 (b c-a d)}","\frac{12 b^2 d^2 \text{Ei}(-a-b x)}{(b c-a d)^5}-\frac{b^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{2 d^2 (b c-a d)}-\frac{12 b^2 d^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^5}+\frac{3 d^2 e^{-a-b x}}{b^2 (c+d x)^4 (b c-a d)}+\frac{2 b^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d (b c-a d)^2}-\frac{6 b^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^3}+\frac{12 b^2 d e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^4}+\frac{3 d e^{-a-b x}}{b^2 (a+b x) (c+d x)^4}+\frac{12 b d^2 e^{-a-b x}}{(c+d x) (b c-a d)^4}+\frac{6 d^2 e^{-a-b x}}{(c+d x)^2 (b c-a d)^3}+\frac{4 d^2 e^{-a-b x}}{b (c+d x)^3 (b c-a d)^2}-\frac{E_{-1}(a+b x)}{b (c+d x)^3}-\frac{b e^{-a-b x}}{2 d (c+d x) (b c-a d)}+\frac{2 b e^{-a-b x}}{(c+d x) (b c-a d)^2}-\frac{6 b d e^{-a-b x}}{(c+d x) (b c-a d)^3}+\frac{e^{-a-b x}}{2 (c+d x)^2 (b c-a d)}-\frac{2 d e^{-a-b x}}{(c+d x)^2 (b c-a d)^2}-\frac{d e^{-a-b x}}{b (c+d x)^3 (b c-a d)}",1,"(3*d^2*E^(-a - b*x))/(b^2*(b*c - a*d)*(c + d*x)^4) + (3*d*E^(-a - b*x))/(b^2*(a + b*x)*(c + d*x)^4) + (4*d^2*E^(-a - b*x))/(b*(b*c - a*d)^2*(c + d*x)^3) - (d*E^(-a - b*x))/(b*(b*c - a*d)*(c + d*x)^3) + (6*d^2*E^(-a - b*x))/((b*c - a*d)^3*(c + d*x)^2) - (2*d*E^(-a - b*x))/((b*c - a*d)^2*(c + d*x)^2) + E^(-a - b*x)/(2*(b*c - a*d)*(c + d*x)^2) + (12*b*d^2*E^(-a - b*x))/((b*c - a*d)^4*(c + d*x)) - (6*b*d*E^(-a - b*x))/((b*c - a*d)^3*(c + d*x)) + (2*b*E^(-a - b*x))/((b*c - a*d)^2*(c + d*x)) - (b*E^(-a - b*x))/(2*d*(b*c - a*d)*(c + d*x)) - ExpIntegralE[-1, a + b*x]/(b*(c + d*x)^3) + (12*b^2*d^2*ExpIntegralEi[-a - b*x])/(b*c - a*d)^5 - (12*b^2*d^2*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(b*c - a*d)^5 + (12*b^2*d*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(b*c - a*d)^4 - (6*b^2*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(b*c - a*d)^3 + (2*b^2*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(d*(b*c - a*d)^2) - (b^2*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(2*d^2*(b*c - a*d))","A",20,4,15,0.2667,1,"{6479, 6742, 2178, 2177}"
115,1,115,0,0.199369,"\int (c+d x)^4 E_{-3}(a+b x) \, dx","Int[(c + d*x)^4*ExpIntegralE[-3, a + b*x],x]","\frac{24 d^3 (b c-a d) \text{Ei}(-a-b x)}{b^5}-\frac{24 d^4 e^{-a-b x}}{b^5}-\frac{12 d^2 e^{-a-b x} (c+d x)^2}{b^3 (a+b x)}-\frac{4 d (c+d x)^3 E_{-1}(a+b x)}{b^2}-\frac{(c+d x)^4 E_{-2}(a+b x)}{b}","\frac{24 d^3 (b c-a d) \text{Ei}(-a-b x)}{b^5}-\frac{24 d^4 e^{-a-b x}}{b^5}-\frac{12 d^2 e^{-a-b x} (c+d x)^2}{b^3 (a+b x)}-\frac{4 d (c+d x)^3 E_{-1}(a+b x)}{b^2}-\frac{(c+d x)^4 E_{-2}(a+b x)}{b}",1,"(-24*d^4*E^(-a - b*x))/b^5 - (12*d^2*E^(-a - b*x)*(c + d*x)^2)/(b^3*(a + b*x)) - ((c + d*x)^4*ExpIntegralE[-2, a + b*x])/b - (4*d*(c + d*x)^3*ExpIntegralE[-1, a + b*x])/b^2 + (24*d^3*(b*c - a*d)*ExpIntegralEi[-a - b*x])/b^5","A",7,4,15,0.2667,1,"{6479, 2199, 2194, 2178}"
116,1,87,0,0.0850067,"\int (c+d x)^3 E_{-3}(a+b x) \, dx","Int[(c + d*x)^3*ExpIntegralE[-3, a + b*x],x]","\frac{6 d^3 \text{Ei}(-a-b x)}{b^4}-\frac{6 d^2 e^{-a-b x} (c+d x)}{b^3 (a+b x)}-\frac{3 d (c+d x)^2 E_{-1}(a+b x)}{b^2}-\frac{(c+d x)^3 E_{-2}(a+b x)}{b}","\frac{6 d^3 \text{Ei}(-a-b x)}{b^4}-\frac{6 d^2 e^{-a-b x} (c+d x)}{b^3 (a+b x)}-\frac{3 d (c+d x)^2 E_{-1}(a+b x)}{b^2}-\frac{(c+d x)^3 E_{-2}(a+b x)}{b}",1,"(-6*d^2*E^(-a - b*x)*(c + d*x))/(b^3*(a + b*x)) - ((c + d*x)^3*ExpIntegralE[-2, a + b*x])/b - (3*d*(c + d*x)^2*ExpIntegralE[-1, a + b*x])/b^2 + (6*d^3*ExpIntegralEi[-a - b*x])/b^4","A",4,2,15,0.1333,1,"{6479, 2178}"
117,1,63,0,0.0415591,"\int (c+d x)^2 E_{-3}(a+b x) \, dx","Int[(c + d*x)^2*ExpIntegralE[-3, a + b*x],x]","-\frac{2 d^2 e^{-a-b x}}{b^3 (a+b x)}-\frac{2 d (c+d x) E_{-1}(a+b x)}{b^2}-\frac{(c+d x)^2 E_{-2}(a+b x)}{b}","-\frac{2 d^2 e^{-a-b x}}{b^3 (a+b x)}-\frac{2 d (c+d x) E_{-1}(a+b x)}{b^2}-\frac{(c+d x)^2 E_{-2}(a+b x)}{b}",1,"(-2*d^2*E^(-a - b*x))/(b^3*(a + b*x)) - ((c + d*x)^2*ExpIntegralE[-2, a + b*x])/b - (2*d*(c + d*x)*ExpIntegralE[-1, a + b*x])/b^2","A",3,2,15,0.1333,1,"{6479, 6473}"
118,1,31,0,0.0150228,"\int (c+d x) E_{-3}(a+b x) \, dx","Int[(c + d*x)*ExpIntegralE[-3, a + b*x],x]","-\frac{d E_{-1}(a+b x)}{b^2}-\frac{(c+d x) E_{-2}(a+b x)}{b}","-\frac{d E_{-1}(a+b x)}{b^2}-\frac{(c+d x) E_{-2}(a+b x)}{b}",1,"-(((c + d*x)*ExpIntegralE[-2, a + b*x])/b) - (d*ExpIntegralE[-1, a + b*x])/b^2","A",2,2,13,0.1538,1,"{6479, 6473}"
119,1,12,0,0.0041292,"\int E_{-3}(a+b x) \, dx","Int[ExpIntegralE[-3, a + b*x],x]","-\frac{E_{-2}(a+b x)}{b}","-\frac{E_{-2}(a+b x)}{b}",1,"-(ExpIntegralE[-2, a + b*x]/b)","A",1,1,7,0.1429,1,"{6473}"
120,1,453,0,0.9749403,"\int \frac{E_{-3}(a+b x)}{c+d x} \, dx","Int[ExpIntegralE[-3, a + b*x]/(c + d*x),x]","-\frac{2 d^3 e^{-a-b x}}{b^3 (c+d x)^3 (b c-a d)}-\frac{2 d^2 e^{-a-b x}}{b^3 (a+b x) (c+d x)^3}-\frac{3 d^3 e^{-a-b x}}{b^2 (c+d x)^2 (b c-a d)^2}+\frac{d^2 e^{-a-b x}}{b^2 (c+d x)^2 (b c-a d)}+\frac{d E_{-1}(a+b x)}{b^2 (c+d x)^2}-\frac{6 d^3 \text{Ei}(-a-b x)}{(b c-a d)^4}+\frac{6 d^3 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^4}-\frac{6 d^3 e^{-a-b x}}{b (c+d x) (b c-a d)^3}-\frac{6 d^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^3}+\frac{3 d^2 e^{-a-b x}}{b (c+d x) (b c-a d)^2}-\frac{E_{-2}(a+b x)}{b (c+d x)}+\frac{3 d e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^2}-\frac{e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{b c-a d}-\frac{d e^{-a-b x}}{b (c+d x) (b c-a d)}","-\frac{2 d^3 e^{-a-b x}}{b^3 (c+d x)^3 (b c-a d)}-\frac{2 d^2 e^{-a-b x}}{b^3 (a+b x) (c+d x)^3}-\frac{3 d^3 e^{-a-b x}}{b^2 (c+d x)^2 (b c-a d)^2}+\frac{d^2 e^{-a-b x}}{b^2 (c+d x)^2 (b c-a d)}+\frac{d E_{-1}(a+b x)}{b^2 (c+d x)^2}-\frac{6 d^3 \text{Ei}(-a-b x)}{(b c-a d)^4}+\frac{6 d^3 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^4}-\frac{6 d^3 e^{-a-b x}}{b (c+d x) (b c-a d)^3}-\frac{6 d^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^3}+\frac{3 d^2 e^{-a-b x}}{b (c+d x) (b c-a d)^2}-\frac{E_{-2}(a+b x)}{b (c+d x)}+\frac{3 d e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^2}-\frac{e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{b c-a d}-\frac{d e^{-a-b x}}{b (c+d x) (b c-a d)}",1,"(-2*d^3*E^(-a - b*x))/(b^3*(b*c - a*d)*(c + d*x)^3) - (2*d^2*E^(-a - b*x))/(b^3*(a + b*x)*(c + d*x)^3) - (3*d^3*E^(-a - b*x))/(b^2*(b*c - a*d)^2*(c + d*x)^2) + (d^2*E^(-a - b*x))/(b^2*(b*c - a*d)*(c + d*x)^2) - (6*d^3*E^(-a - b*x))/(b*(b*c - a*d)^3*(c + d*x)) + (3*d^2*E^(-a - b*x))/(b*(b*c - a*d)^2*(c + d*x)) - (d*E^(-a - b*x))/(b*(b*c - a*d)*(c + d*x)) - ExpIntegralE[-2, a + b*x]/(b*(c + d*x)) + (d*ExpIntegralE[-1, a + b*x])/(b^2*(c + d*x)^2) - (6*d^3*ExpIntegralEi[-a - b*x])/(b*c - a*d)^4 + (6*d^3*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(b*c - a*d)^4 - (6*d^2*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(b*c - a*d)^3 + (3*d*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(b*c - a*d)^2 - (E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(b*c - a*d)","A",16,4,15,0.2667,1,"{6479, 6742, 2178, 2177}"
121,1,621,0,1.2799366,"\int \frac{E_{-3}(a+b x)}{(c+d x)^2} \, dx","Int[ExpIntegralE[-3, a + b*x]/(c + d*x)^2,x]","-\frac{6 d^3 e^{-a-b x}}{b^3 (c+d x)^4 (b c-a d)}-\frac{6 d^2 e^{-a-b x}}{b^3 (a+b x) (c+d x)^4}-\frac{8 d^3 e^{-a-b x}}{b^2 (c+d x)^3 (b c-a d)^2}+\frac{2 d^2 e^{-a-b x}}{b^2 (c+d x)^3 (b c-a d)}+\frac{2 d E_{-1}(a+b x)}{b^2 (c+d x)^3}-\frac{24 b d^3 \text{Ei}(-a-b x)}{(b c-a d)^5}+\frac{24 b d^3 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^5}-\frac{24 d^3 e^{-a-b x}}{(c+d x) (b c-a d)^4}-\frac{12 d^3 e^{-a-b x}}{b (c+d x)^2 (b c-a d)^3}-\frac{24 b d^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^4}+\frac{12 d^2 e^{-a-b x}}{(c+d x) (b c-a d)^3}+\frac{4 d^2 e^{-a-b x}}{b (c+d x)^2 (b c-a d)^2}-\frac{E_{-2}(a+b x)}{b (c+d x)^2}+\frac{12 b d e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^3}-\frac{4 b e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^2}+\frac{b e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d (b c-a d)}-\frac{4 d e^{-a-b x}}{(c+d x) (b c-a d)^2}-\frac{d e^{-a-b x}}{b (c+d x)^2 (b c-a d)}+\frac{e^{-a-b x}}{(c+d x) (b c-a d)}","-\frac{6 d^3 e^{-a-b x}}{b^3 (c+d x)^4 (b c-a d)}-\frac{6 d^2 e^{-a-b x}}{b^3 (a+b x) (c+d x)^4}-\frac{8 d^3 e^{-a-b x}}{b^2 (c+d x)^3 (b c-a d)^2}+\frac{2 d^2 e^{-a-b x}}{b^2 (c+d x)^3 (b c-a d)}+\frac{2 d E_{-1}(a+b x)}{b^2 (c+d x)^3}-\frac{24 b d^3 \text{Ei}(-a-b x)}{(b c-a d)^5}+\frac{24 b d^3 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^5}-\frac{24 d^3 e^{-a-b x}}{(c+d x) (b c-a d)^4}-\frac{12 d^3 e^{-a-b x}}{b (c+d x)^2 (b c-a d)^3}-\frac{24 b d^2 e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^4}+\frac{12 d^2 e^{-a-b x}}{(c+d x) (b c-a d)^3}+\frac{4 d^2 e^{-a-b x}}{b (c+d x)^2 (b c-a d)^2}-\frac{E_{-2}(a+b x)}{b (c+d x)^2}+\frac{12 b d e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^3}-\frac{4 b e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{(b c-a d)^2}+\frac{b e^{\frac{b c}{d}-a} \text{Ei}\left(-\frac{b (c+d x)}{d}\right)}{d (b c-a d)}-\frac{4 d e^{-a-b x}}{(c+d x) (b c-a d)^2}-\frac{d e^{-a-b x}}{b (c+d x)^2 (b c-a d)}+\frac{e^{-a-b x}}{(c+d x) (b c-a d)}",1,"(-6*d^3*E^(-a - b*x))/(b^3*(b*c - a*d)*(c + d*x)^4) - (6*d^2*E^(-a - b*x))/(b^3*(a + b*x)*(c + d*x)^4) - (8*d^3*E^(-a - b*x))/(b^2*(b*c - a*d)^2*(c + d*x)^3) + (2*d^2*E^(-a - b*x))/(b^2*(b*c - a*d)*(c + d*x)^3) - (12*d^3*E^(-a - b*x))/(b*(b*c - a*d)^3*(c + d*x)^2) + (4*d^2*E^(-a - b*x))/(b*(b*c - a*d)^2*(c + d*x)^2) - (d*E^(-a - b*x))/(b*(b*c - a*d)*(c + d*x)^2) - (24*d^3*E^(-a - b*x))/((b*c - a*d)^4*(c + d*x)) + (12*d^2*E^(-a - b*x))/((b*c - a*d)^3*(c + d*x)) - (4*d*E^(-a - b*x))/((b*c - a*d)^2*(c + d*x)) + E^(-a - b*x)/((b*c - a*d)*(c + d*x)) - ExpIntegralE[-2, a + b*x]/(b*(c + d*x)^2) + (2*d*ExpIntegralE[-1, a + b*x])/(b^2*(c + d*x)^3) - (24*b*d^3*ExpIntegralEi[-a - b*x])/(b*c - a*d)^5 + (24*b*d^3*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(b*c - a*d)^5 - (24*b*d^2*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(b*c - a*d)^4 + (12*b*d*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(b*c - a*d)^3 - (4*b*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(b*c - a*d)^2 + (b*E^(-a + (b*c)/d)*ExpIntegralEi[-((b*(c + d*x))/d)])/(d*(b*c - a*d))","A",21,4,15,0.2667,1,"{6479, 6742, 2178, 2177}"
122,0,0,0,0.4358844,"\int (c+d x)^m E_3(a+b x) \, dx","Int[(c + d*x)^m*ExpIntegralE[3, a + b*x],x]","\int (c+d x)^m E_3(a+b x) \, dx","\frac{b^3 \text{Int}\left(\frac{e^{-a-b x} (c+d x)^{m+3}}{a+b x},x\right)}{d^3 (m+1) (m+2) (m+3)}+\frac{b^2 E_1(a+b x) (c+d x)^{m+3}}{d^3 (m+1) (m+2) (m+3)}+\frac{b E_2(a+b x) (c+d x)^{m+2}}{d^2 (m+1) (m+2)}+\frac{E_3(a+b x) (c+d x)^{m+1}}{d (m+1)}",0,"(b^2*(c + d*x)^(3 + m)*ExpIntegralE[1, a + b*x])/(d^3*(1 + m)*(2 + m)*(3 + m)) + (b*(c + d*x)^(2 + m)*ExpIntegralE[2, a + b*x])/(d^2*(1 + m)*(2 + m)) + ((c + d*x)^(1 + m)*ExpIntegralE[3, a + b*x])/(d*(1 + m)) + (b^3*Defer[Int][(E^(-a - b*x)*(c + d*x)^(3 + m))/(a + b*x), x])/(d^3*(1 + m)*(2 + m)*(3 + m))","N/A",0,0,0,0,-1,"{}"
123,0,0,0,0.3553867,"\int (c+d x)^m E_2(a+b x) \, dx","Int[(c + d*x)^m*ExpIntegralE[2, a + b*x],x]","\int (c+d x)^m E_2(a+b x) \, dx","\frac{b^2 \text{Int}\left(\frac{e^{-a-b x} (c+d x)^{m+2}}{a+b x},x\right)}{d^2 (m+1) (m+2)}+\frac{b E_1(a+b x) (c+d x)^{m+2}}{d^2 (m+1) (m+2)}+\frac{E_2(a+b x) (c+d x)^{m+1}}{d (m+1)}",0,"(b*(c + d*x)^(2 + m)*ExpIntegralE[1, a + b*x])/(d^2*(1 + m)*(2 + m)) + ((c + d*x)^(1 + m)*ExpIntegralE[2, a + b*x])/(d*(1 + m)) + (b^2*Defer[Int][(E^(-a - b*x)*(c + d*x)^(2 + m))/(a + b*x), x])/(d^2*(1 + m)*(2 + m))","N/A",0,0,0,0,-1,"{}"
124,0,0,0,0.3157765,"\int (c+d x)^m E_1(a+b x) \, dx","Int[(c + d*x)^m*ExpIntegralE[1, a + b*x],x]","\int (c+d x)^m E_1(a+b x) \, dx","\frac{b \text{Int}\left(\frac{e^{-a-b x} (c+d x)^{m+1}}{a+b x},x\right)}{d (m+1)}+\frac{E_1(a+b x) (c+d x)^{m+1}}{d (m+1)}",0,"((c + d*x)^(1 + m)*ExpIntegralE[1, a + b*x])/(d*(1 + m)) + (b*Defer[Int][(E^(-a - b*x)*(c + d*x)^(1 + m))/(a + b*x), x])/(d*(1 + m))","N/A",0,0,0,0,-1,"{}"
125,0,0,0,0.3712307,"\int (c+d x)^m E_{-1}(a+b x) \, dx","Int[(c + d*x)^m*ExpIntegralE[-1, a + b*x],x]","\int (c+d x)^m E_{-1}(a+b x) \, dx","\frac{d m \text{Int}\left(\frac{e^{-a-b x} (c+d x)^{m-1}}{a+b x},x\right)}{b}-\frac{e^{-a-b x} (c+d x)^m}{b (a+b x)}",0,"-((E^(-a - b*x)*(c + d*x)^m)/(b*(a + b*x))) + (d*m*Defer[Int][(E^(-a - b*x)*(c + d*x)^(-1 + m))/(a + b*x), x])/b","N/A",0,0,0,0,-1,"{}"
126,0,0,0,0.3923245,"\int (c+d x)^m E_{-2}(a+b x) \, dx","Int[(c + d*x)^m*ExpIntegralE[-2, a + b*x],x]","\int (c+d x)^m E_{-2}(a+b x) \, dx","-\frac{d^2 (1-m) m \text{Int}\left(\frac{e^{-a-b x} (c+d x)^{m-2}}{a+b x},x\right)}{b^2}-\frac{d m e^{-a-b x} (c+d x)^{m-1}}{b^2 (a+b x)}-\frac{E_{-1}(a+b x) (c+d x)^m}{b}",0,"-((d*E^(-a - b*x)*m*(c + d*x)^(-1 + m))/(b^2*(a + b*x))) - ((c + d*x)^m*ExpIntegralE[-1, a + b*x])/b - (d^2*(1 - m)*m*Defer[Int][(E^(-a - b*x)*(c + d*x)^(-2 + m))/(a + b*x), x])/b^2","N/A",0,0,0,0,-1,"{}"
127,0,0,0,0.4436103,"\int (c+d x)^m E_{-3}(a+b x) \, dx","Int[(c + d*x)^m*ExpIntegralE[-3, a + b*x],x]","\int (c+d x)^m E_{-3}(a+b x) \, dx","\frac{d^3 (1-m) (2-m) m \text{Int}\left(\frac{e^{-a-b x} (c+d x)^{m-3}}{a+b x},x\right)}{b^3}+\frac{d^2 (1-m) m e^{-a-b x} (c+d x)^{m-2}}{b^3 (a+b x)}-\frac{d m E_{-1}(a+b x) (c+d x)^{m-1}}{b^2}-\frac{E_{-2}(a+b x) (c+d x)^m}{b}",0,"(d^2*E^(-a - b*x)*(1 - m)*m*(c + d*x)^(-2 + m))/(b^3*(a + b*x)) - ((c + d*x)^m*ExpIntegralE[-2, a + b*x])/b - (d*m*(c + d*x)^(-1 + m)*ExpIntegralE[-1, a + b*x])/b^2 + (d^3*(1 - m)*(2 - m)*m*Defer[Int][(E^(-a - b*x)*(c + d*x)^(-3 + m))/(a + b*x), x])/b^3","N/A",0,0,0,0,-1,"{}"
128,0,0,0,0.0131042,"\int (c+d x)^m E_n(a+b x) \, dx","Int[(c + d*x)^m*ExpIntegralE[n, a + b*x],x]","\int (c+d x)^m E_n(a+b x) \, dx","\text{Int}\left((c+d x)^m E_n(a+b x),x\right)",0,"Defer[Int][(c + d*x)^m*ExpIntegralE[n, a + b*x], x]","N/A",0,0,0,0,-1,"{}"
129,1,83,0,0.0639549,"\int (c+d x)^3 E_n(a+b x) \, dx","Int[(c + d*x)^3*ExpIntegralE[n, a + b*x],x]","-\frac{6 d^3 E_{n+4}(a+b x)}{b^4}-\frac{6 d^2 (c+d x) E_{n+3}(a+b x)}{b^3}-\frac{3 d (c+d x)^2 E_{n+2}(a+b x)}{b^2}-\frac{(c+d x)^3 E_{n+1}(a+b x)}{b}","-\frac{6 d^3 E_{n+4}(a+b x)}{b^4}-\frac{6 d^2 (c+d x) E_{n+3}(a+b x)}{b^3}-\frac{3 d (c+d x)^2 E_{n+2}(a+b x)}{b^2}-\frac{(c+d x)^3 E_{n+1}(a+b x)}{b}",1,"-(((c + d*x)^3*ExpIntegralE[1 + n, a + b*x])/b) - (3*d*(c + d*x)^2*ExpIntegralE[2 + n, a + b*x])/b^2 - (6*d^2*(c + d*x)*ExpIntegralE[3 + n, a + b*x])/b^3 - (6*d^3*ExpIntegralE[4 + n, a + b*x])/b^4","A",4,2,15,0.1333,1,"{6479, 6473}"
130,1,59,0,0.0372602,"\int (c+d x)^2 E_n(a+b x) \, dx","Int[(c + d*x)^2*ExpIntegralE[n, a + b*x],x]","-\frac{2 d^2 E_{n+3}(a+b x)}{b^3}-\frac{2 d (c+d x) E_{n+2}(a+b x)}{b^2}-\frac{(c+d x)^2 E_{n+1}(a+b x)}{b}","-\frac{2 d^2 E_{n+3}(a+b x)}{b^3}-\frac{2 d (c+d x) E_{n+2}(a+b x)}{b^2}-\frac{(c+d x)^2 E_{n+1}(a+b x)}{b}",1,"-(((c + d*x)^2*ExpIntegralE[1 + n, a + b*x])/b) - (2*d*(c + d*x)*ExpIntegralE[2 + n, a + b*x])/b^2 - (2*d^2*ExpIntegralE[3 + n, a + b*x])/b^3","A",3,2,15,0.1333,1,"{6479, 6473}"
131,1,35,0,0.0165246,"\int (c+d x) E_n(a+b x) \, dx","Int[(c + d*x)*ExpIntegralE[n, a + b*x],x]","-\frac{d E_{n+2}(a+b x)}{b^2}-\frac{(c+d x) E_{n+1}(a+b x)}{b}","-\frac{d E_{n+2}(a+b x)}{b^2}-\frac{(c+d x) E_{n+1}(a+b x)}{b}",1,"-(((c + d*x)*ExpIntegralE[1 + n, a + b*x])/b) - (d*ExpIntegralE[2 + n, a + b*x])/b^2","A",2,2,13,0.1538,1,"{6479, 6473}"
132,1,14,0,0.0043928,"\int E_n(a+b x) \, dx","Int[ExpIntegralE[n, a + b*x],x]","-\frac{E_{n+1}(a+b x)}{b}","-\frac{E_{n+1}(a+b x)}{b}",1,"-(ExpIntegralE[1 + n, a + b*x]/b)","A",1,1,7,0.1429,1,"{6473}"
133,0,0,0,0.0150772,"\int \frac{E_n(a+b x)}{c+d x} \, dx","Int[ExpIntegralE[n, a + b*x]/(c + d*x),x]","\int \frac{E_n(a+b x)}{c+d x} \, dx","\text{Int}\left(\frac{E_n(a+b x)}{c+d x},x\right)",0,"Defer[Int][ExpIntegralE[n, a + b*x]/(c + d*x), x]","N/A",0,0,0,0,-1,"{}"
134,0,0,0,0.0157875,"\int \frac{E_n(a+b x)}{(c+d x)^2} \, dx","Int[ExpIntegralE[n, a + b*x]/(c + d*x)^2,x]","\int \frac{E_n(a+b x)}{(c+d x)^2} \, dx","\text{Int}\left(\frac{E_n(a+b x)}{(c+d x)^2},x\right)",0,"Defer[Int][ExpIntegralE[n, a + b*x]/(c + d*x)^2, x]","N/A",0,0,0,0,-1,"{}"
135,1,67,0,0.0775385,"\int x^3 \text{Ei}(b x) \, dx","Int[x^3*ExpIntegralEi[b*x],x]","\frac{3 e^{b x}}{2 b^4}-\frac{3 x e^{b x}}{2 b^3}+\frac{3 x^2 e^{b x}}{4 b^2}+\frac{1}{4} x^4 \text{Ei}(b x)-\frac{x^3 e^{b x}}{4 b}","\frac{3 e^{b x}}{2 b^4}-\frac{3 x e^{b x}}{2 b^3}+\frac{3 x^2 e^{b x}}{4 b^2}+\frac{1}{4} x^4 \text{Ei}(b x)-\frac{x^3 e^{b x}}{4 b}",1,"(3*E^(b*x))/(2*b^4) - (3*E^(b*x)*x)/(2*b^3) + (3*E^(b*x)*x^2)/(4*b^2) - (E^(b*x)*x^3)/(4*b) + (x^4*ExpIntegralEi[b*x])/4","A",6,4,8,0.5000,1,"{6485, 12, 2176, 2194}"
136,1,52,0,0.0486289,"\int x^2 \text{Ei}(b x) \, dx","Int[x^2*ExpIntegralEi[b*x],x]","-\frac{2 e^{b x}}{3 b^3}+\frac{2 x e^{b x}}{3 b^2}+\frac{1}{3} x^3 \text{Ei}(b x)-\frac{x^2 e^{b x}}{3 b}","-\frac{2 e^{b x}}{3 b^3}+\frac{2 x e^{b x}}{3 b^2}+\frac{1}{3} x^3 \text{Ei}(b x)-\frac{x^2 e^{b x}}{3 b}",1,"(-2*E^(b*x))/(3*b^3) + (2*E^(b*x)*x)/(3*b^2) - (E^(b*x)*x^2)/(3*b) + (x^3*ExpIntegralEi[b*x])/3","A",5,4,8,0.5000,1,"{6485, 12, 2176, 2194}"
137,1,37,0,0.0236212,"\int x \text{Ei}(b x) \, dx","Int[x*ExpIntegralEi[b*x],x]","\frac{e^{b x}}{2 b^2}+\frac{1}{2} x^2 \text{Ei}(b x)-\frac{x e^{b x}}{2 b}","\frac{e^{b x}}{2 b^2}+\frac{1}{2} x^2 \text{Ei}(b x)-\frac{x e^{b x}}{2 b}",1,"E^(b*x)/(2*b^2) - (E^(b*x)*x)/(2*b) + (x^2*ExpIntegralEi[b*x])/2","A",4,4,6,0.6667,1,"{6485, 12, 2176, 2194}"
138,1,17,0,0.0044733,"\int \text{Ei}(b x) \, dx","Int[ExpIntegralEi[b*x],x]","x \text{Ei}(b x)-\frac{e^{b x}}{b}","x \text{Ei}(b x)-\frac{e^{b x}}{b}",1,"-(E^(b*x)/b) + x*ExpIntegralEi[b*x]","A",1,1,4,0.2500,1,"{6482}"
139,1,45,0,0.0314752,"\int \frac{\text{Ei}(b x)}{x} \, dx","Int[ExpIntegralEi[b*x]/x,x]","b x \, _3F_3(1,1,1;2,2,2;b x)+\log (x) (E_1(-b x)+\text{Ei}(b x))+\frac{1}{2} \log ^2(-b x)+\gamma  \log (x)","b x \, _3F_3(1,1,1;2,2,2;b x)+\log (x) (E_1(-b x)+\text{Ei}(b x))+\frac{1}{2} \log ^2(-b x)+\gamma  \log (x)",1,"b*x*HypergeometricPFQ[{1, 1, 1}, {2, 2, 2}, b*x] + EulerGamma*Log[x] + (ExpIntegralE[1, -(b*x)] + ExpIntegralEi[b*x])*Log[x] + Log[-(b*x)]^2/2","A",2,2,8,0.2500,1,"{6483, 6475}"
140,1,26,0,0.0428772,"\int \frac{\text{Ei}(b x)}{x^2} \, dx","Int[ExpIntegralEi[b*x]/x^2,x]","b \text{Ei}(b x)-\frac{\text{Ei}(b x)}{x}-\frac{e^{b x}}{x}","b \text{Ei}(b x)-\frac{\text{Ei}(b x)}{x}-\frac{e^{b x}}{x}",1,"-(E^(b*x)/x) + b*ExpIntegralEi[b*x] - ExpIntegralEi[b*x]/x","A",4,4,8,0.5000,1,"{6485, 12, 2177, 2178}"
141,1,48,0,0.068423,"\int \frac{\text{Ei}(b x)}{x^3} \, dx","Int[ExpIntegralEi[b*x]/x^3,x]","\frac{1}{4} b^2 \text{Ei}(b x)-\frac{\text{Ei}(b x)}{2 x^2}-\frac{e^{b x}}{4 x^2}-\frac{b e^{b x}}{4 x}","\frac{1}{4} b^2 \text{Ei}(b x)-\frac{\text{Ei}(b x)}{2 x^2}-\frac{e^{b x}}{4 x^2}-\frac{b e^{b x}}{4 x}",1,"-E^(b*x)/(4*x^2) - (b*E^(b*x))/(4*x) + (b^2*ExpIntegralEi[b*x])/4 - ExpIntegralEi[b*x]/(2*x^2)","A",5,4,8,0.5000,1,"{6485, 12, 2177, 2178}"
142,1,63,0,0.0854442,"\int \frac{\text{Ei}(b x)}{x^4} \, dx","Int[ExpIntegralEi[b*x]/x^4,x]","\frac{1}{18} b^3 \text{Ei}(b x)-\frac{b^2 e^{b x}}{18 x}-\frac{\text{Ei}(b x)}{3 x^3}-\frac{e^{b x}}{9 x^3}-\frac{b e^{b x}}{18 x^2}","\frac{1}{18} b^3 \text{Ei}(b x)-\frac{b^2 e^{b x}}{18 x}-\frac{\text{Ei}(b x)}{3 x^3}-\frac{e^{b x}}{9 x^3}-\frac{b e^{b x}}{18 x^2}",1,"-E^(b*x)/(9*x^3) - (b*E^(b*x))/(18*x^2) - (b^2*E^(b*x))/(18*x) + (b^3*ExpIntegralEi[b*x])/18 - ExpIntegralEi[b*x]/(3*x^3)","A",6,4,8,0.5000,1,"{6485, 12, 2177, 2178}"
143,1,105,0,0.1320837,"\int x^2 \text{Ei}(b x)^2 \, dx","Int[x^2*ExpIntegralEi[b*x]^2,x]","-\frac{4 e^{b x} \text{Ei}(b x)}{3 b^3}+\frac{4 \text{Ei}(2 b x)}{3 b^3}-\frac{5 e^{2 b x}}{6 b^3}+\frac{4 x e^{b x} \text{Ei}(b x)}{3 b^2}+\frac{x e^{2 b x}}{3 b^2}+\frac{1}{3} x^3 \text{Ei}(b x)^2-\frac{2 x^2 e^{b x} \text{Ei}(b x)}{3 b}","-\frac{4 e^{b x} \text{Ei}(b x)}{3 b^3}+\frac{4 \text{Ei}(2 b x)}{3 b^3}-\frac{5 e^{2 b x}}{6 b^3}+\frac{4 x e^{b x} \text{Ei}(b x)}{3 b^2}+\frac{x e^{2 b x}}{3 b^2}+\frac{1}{3} x^3 \text{Ei}(b x)^2-\frac{2 x^2 e^{b x} \text{Ei}(b x)}{3 b}",1,"(-5*E^(2*b*x))/(6*b^3) + (E^(2*b*x)*x)/(3*b^2) - (4*E^(b*x)*ExpIntegralEi[b*x])/(3*b^3) + (4*E^(b*x)*x*ExpIntegralEi[b*x])/(3*b^2) - (2*E^(b*x)*x^2*ExpIntegralEi[b*x])/(3*b) + (x^3*ExpIntegralEi[b*x]^2)/3 + (4*ExpIntegralEi[2*b*x])/(3*b^3)","A",11,7,10,0.7000,1,"{6487, 6490, 12, 2176, 2194, 6489, 2178}"
144,1,65,0,0.076132,"\int x \text{Ei}(b x)^2 \, dx","Int[x*ExpIntegralEi[b*x]^2,x]","\frac{e^{b x} \text{Ei}(b x)}{b^2}-\frac{\text{Ei}(2 b x)}{b^2}+\frac{e^{2 b x}}{2 b^2}+\frac{1}{2} x^2 \text{Ei}(b x)^2-\frac{x e^{b x} \text{Ei}(b x)}{b}","\frac{e^{b x} \text{Ei}(b x)}{b^2}-\frac{\text{Ei}(2 b x)}{b^2}+\frac{e^{2 b x}}{2 b^2}+\frac{1}{2} x^2 \text{Ei}(b x)^2-\frac{x e^{b x} \text{Ei}(b x)}{b}",1,"E^(2*b*x)/(2*b^2) + (E^(b*x)*ExpIntegralEi[b*x])/b^2 - (E^(b*x)*x*ExpIntegralEi[b*x])/b + (x^2*ExpIntegralEi[b*x]^2)/2 - ExpIntegralEi[2*b*x]/b^2","A",7,6,8,0.7500,1,"{6487, 6490, 12, 2194, 6489, 2178}"
145,1,33,0,0.035981,"\int \text{Ei}(b x)^2 \, dx","Int[ExpIntegralEi[b*x]^2,x]","x \text{Ei}(b x)^2-\frac{2 e^{b x} \text{Ei}(b x)}{b}+\frac{2 \text{Ei}(2 b x)}{b}","x \text{Ei}(b x)^2-\frac{2 e^{b x} \text{Ei}(b x)}{b}+\frac{2 \text{Ei}(2 b x)}{b}",1,"(-2*E^(b*x)*ExpIntegralEi[b*x])/b + x*ExpIntegralEi[b*x]^2 + (2*ExpIntegralEi[2*b*x])/b","A",4,4,6,0.6667,1,"{6486, 6489, 12, 2178}"
146,0,0,0,0.0267754,"\int \frac{\text{Ei}(b x)^2}{x} \, dx","Int[ExpIntegralEi[b*x]^2/x,x]","\int \frac{\text{Ei}(b x)^2}{x} \, dx","\text{Int}\left(\frac{\text{Ei}(b x)^2}{x},x\right)",0,"Defer[Int][ExpIntegralEi[b*x]^2/x, x]","N/A",0,0,0,0,-1,"{}"
147,0,0,0,0.027335,"\int \frac{\text{Ei}(b x)^2}{x^2} \, dx","Int[ExpIntegralEi[b*x]^2/x^2,x]","\int \frac{\text{Ei}(b x)^2}{x^2} \, dx","\text{Int}\left(\frac{\text{Ei}(b x)^2}{x^2},x\right)",0,"Defer[Int][ExpIntegralEi[b*x]^2/x^2, x]","N/A",0,0,0,0,-1,"{}"
148,0,0,0,0.0454508,"\int (d x)^m \text{Ei}(b x)^3 \, dx","Int[(d*x)^m*ExpIntegralEi[b*x]^3,x]","\int (d x)^m \text{Ei}(b x)^3 \, dx","\text{Int}\left(\text{Ei}(b x)^3 (d x)^m,x\right)",0,"Defer[Int][(d*x)^m*ExpIntegralEi[b*x]^3, x]","N/A",0,0,0,0,-1,"{}"
149,0,0,0,0.0333365,"\int (d x)^m \text{Ei}(b x)^2 \, dx","Int[(d*x)^m*ExpIntegralEi[b*x]^2,x]","\int (d x)^m \text{Ei}(b x)^2 \, dx","\text{Int}\left(\text{Ei}(b x)^2 (d x)^m,x\right)",0,"Defer[Int][(d*x)^m*ExpIntegralEi[b*x]^2, x]","N/A",0,0,0,0,-1,"{}"
150,1,52,0,0.0398223,"\int (d x)^m \text{Ei}(b x) \, dx","Int[(d*x)^m*ExpIntegralEi[b*x],x]","\frac{\text{Ei}(b x) (d x)^{m+1}}{d (m+1)}-\frac{(-b x)^{-m} (d x)^m \text{Gamma}(m+1,-b x)}{b (m+1)}","\frac{\text{Ei}(b x) (d x)^{m+1}}{d (m+1)}-\frac{(-b x)^{-m} (d x)^m \text{Gamma}(m+1,-b x)}{b (m+1)}",1,"((d*x)^(1 + m)*ExpIntegralEi[b*x])/(d*(1 + m)) - ((d*x)^m*Gamma[1 + m, -(b*x)])/(b*(1 + m)*(-(b*x))^m)","A",4,4,10,0.4000,1,"{6485, 12, 16, 2181}"
151,0,0,0,0.0306452,"\int \frac{(d x)^m}{\text{Ei}(b x)} \, dx","Int[(d*x)^m/ExpIntegralEi[b*x],x]","\int \frac{(d x)^m}{\text{Ei}(b x)} \, dx","\text{Int}\left(\frac{(d x)^m}{\text{Ei}(b x)},x\right)",0,"Defer[Int][(d*x)^m/ExpIntegralEi[b*x], x]","N/A",0,0,0,0,-1,"{}"
152,0,0,0,0.0367632,"\int \frac{(d x)^m}{\text{Ei}(b x)^2} \, dx","Int[(d*x)^m/ExpIntegralEi[b*x]^2,x]","\int \frac{(d x)^m}{\text{Ei}(b x)^2} \, dx","\text{Int}\left(\frac{(d x)^m}{\text{Ei}(b x)^2},x\right)",0,"Defer[Int][(d*x)^m/ExpIntegralEi[b*x]^2, x]","N/A",0,0,0,0,-1,"{}"
153,1,194,0,0.2940914,"\int x^3 \text{Ei}(a+b x) \, dx","Int[x^3*ExpIntegralEi[a + b*x],x]","-\frac{a^4 \text{Ei}(a+b x)}{4 b^4}+\frac{a^3 e^{a+b x}}{4 b^4}+\frac{a^2 e^{a+b x}}{4 b^4}-\frac{a^2 x e^{a+b x}}{4 b^3}+\frac{a e^{a+b x}}{2 b^4}+\frac{3 e^{a+b x}}{2 b^4}-\frac{a x e^{a+b x}}{2 b^3}-\frac{3 x e^{a+b x}}{2 b^3}+\frac{a x^2 e^{a+b x}}{4 b^2}+\frac{3 x^2 e^{a+b x}}{4 b^2}+\frac{1}{4} x^4 \text{Ei}(a+b x)-\frac{x^3 e^{a+b x}}{4 b}","-\frac{a^4 \text{Ei}(a+b x)}{4 b^4}+\frac{a^3 e^{a+b x}}{4 b^4}+\frac{a^2 e^{a+b x}}{4 b^4}-\frac{a^2 x e^{a+b x}}{4 b^3}+\frac{a e^{a+b x}}{2 b^4}+\frac{3 e^{a+b x}}{2 b^4}-\frac{a x e^{a+b x}}{2 b^3}-\frac{3 x e^{a+b x}}{2 b^3}+\frac{a x^2 e^{a+b x}}{4 b^2}+\frac{3 x^2 e^{a+b x}}{4 b^2}+\frac{1}{4} x^4 \text{Ei}(a+b x)-\frac{x^3 e^{a+b x}}{4 b}",1,"(3*E^(a + b*x))/(2*b^4) + (a*E^(a + b*x))/(2*b^4) + (a^2*E^(a + b*x))/(4*b^4) + (a^3*E^(a + b*x))/(4*b^4) - (3*E^(a + b*x)*x)/(2*b^3) - (a*E^(a + b*x)*x)/(2*b^3) - (a^2*E^(a + b*x)*x)/(4*b^3) + (3*E^(a + b*x)*x^2)/(4*b^2) + (a*E^(a + b*x)*x^2)/(4*b^2) - (E^(a + b*x)*x^3)/(4*b) - (a^4*ExpIntegralEi[a + b*x])/(4*b^4) + (x^4*ExpIntegralEi[a + b*x])/4","A",14,5,10,0.5000,1,"{6485, 2199, 2194, 2176, 2178}"
154,1,124,0,0.2015363,"\int x^2 \text{Ei}(a+b x) \, dx","Int[x^2*ExpIntegralEi[a + b*x],x]","\frac{a^3 \text{Ei}(a+b x)}{3 b^3}-\frac{a^2 e^{a+b x}}{3 b^3}-\frac{a e^{a+b x}}{3 b^3}-\frac{2 e^{a+b x}}{3 b^3}+\frac{a x e^{a+b x}}{3 b^2}+\frac{2 x e^{a+b x}}{3 b^2}+\frac{1}{3} x^3 \text{Ei}(a+b x)-\frac{x^2 e^{a+b x}}{3 b}","\frac{a^3 \text{Ei}(a+b x)}{3 b^3}-\frac{a^2 e^{a+b x}}{3 b^3}-\frac{a e^{a+b x}}{3 b^3}-\frac{2 e^{a+b x}}{3 b^3}+\frac{a x e^{a+b x}}{3 b^2}+\frac{2 x e^{a+b x}}{3 b^2}+\frac{1}{3} x^3 \text{Ei}(a+b x)-\frac{x^2 e^{a+b x}}{3 b}",1,"(-2*E^(a + b*x))/(3*b^3) - (a*E^(a + b*x))/(3*b^3) - (a^2*E^(a + b*x))/(3*b^3) + (2*E^(a + b*x)*x)/(3*b^2) + (a*E^(a + b*x)*x)/(3*b^2) - (E^(a + b*x)*x^2)/(3*b) + (a^3*ExpIntegralEi[a + b*x])/(3*b^3) + (x^3*ExpIntegralEi[a + b*x])/3","A",10,5,10,0.5000,1,"{6485, 2199, 2194, 2176, 2178}"
155,1,74,0,0.152694,"\int x \text{Ei}(a+b x) \, dx","Int[x*ExpIntegralEi[a + b*x],x]","-\frac{a^2 \text{Ei}(a+b x)}{2 b^2}+\frac{a e^{a+b x}}{2 b^2}+\frac{e^{a+b x}}{2 b^2}+\frac{1}{2} x^2 \text{Ei}(a+b x)-\frac{x e^{a+b x}}{2 b}","-\frac{a^2 \text{Ei}(a+b x)}{2 b^2}+\frac{a e^{a+b x}}{2 b^2}+\frac{e^{a+b x}}{2 b^2}+\frac{1}{2} x^2 \text{Ei}(a+b x)-\frac{x e^{a+b x}}{2 b}",1,"E^(a + b*x)/(2*b^2) + (a*E^(a + b*x))/(2*b^2) - (E^(a + b*x)*x)/(2*b) - (a^2*ExpIntegralEi[a + b*x])/(2*b^2) + (x^2*ExpIntegralEi[a + b*x])/2","A",7,5,8,0.6250,1,"{6485, 2199, 2194, 2176, 2178}"
156,1,28,0,0.0060459,"\int \text{Ei}(a+b x) \, dx","Int[ExpIntegralEi[a + b*x],x]","\frac{(a+b x) \text{Ei}(a+b x)}{b}-\frac{e^{a+b x}}{b}","\frac{(a+b x) \text{Ei}(a+b x)}{b}-\frac{e^{a+b x}}{b}",1,"-(E^(a + b*x)/b) + ((a + b*x)*ExpIntegralEi[a + b*x])/b","A",1,1,6,0.1667,1,"{6482}"
157,0,0,0,0.0123475,"\int \frac{\text{Ei}(a+b x)}{x} \, dx","Int[ExpIntegralEi[a + b*x]/x,x]","\int \frac{\text{Ei}(a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{Ei}(a+b x)}{x},x\right)",0,"Defer[Int][ExpIntegralEi[a + b*x]/x, x]","N/A",0,0,0,0,-1,"{}"
158,1,36,0,0.2601666,"\int \frac{\text{Ei}(a+b x)}{x^2} \, dx","Int[ExpIntegralEi[a + b*x]/x^2,x]","\frac{e^a b \text{Ei}(b x)}{a}-\frac{b \text{Ei}(a+b x)}{a}-\frac{\text{Ei}(a+b x)}{x}","\frac{e^a b \text{Ei}(b x)}{a}-\frac{b \text{Ei}(a+b x)}{a}-\frac{\text{Ei}(a+b x)}{x}",1,"(b*E^a*ExpIntegralEi[b*x])/a - (b*ExpIntegralEi[a + b*x])/a - ExpIntegralEi[a + b*x]/x","A",5,3,10,0.3000,1,"{6485, 6742, 2178}"
159,1,82,0,0.2903015,"\int \frac{\text{Ei}(a+b x)}{x^3} \, dx","Int[ExpIntegralEi[a + b*x]/x^3,x]","-\frac{e^a b^2 \text{Ei}(b x)}{2 a^2}+\frac{b^2 \text{Ei}(a+b x)}{2 a^2}+\frac{e^a b^2 \text{Ei}(b x)}{2 a}-\frac{\text{Ei}(a+b x)}{2 x^2}-\frac{b e^{a+b x}}{2 a x}","-\frac{e^a b^2 \text{Ei}(b x)}{2 a^2}+\frac{b^2 \text{Ei}(a+b x)}{2 a^2}+\frac{e^a b^2 \text{Ei}(b x)}{2 a}-\frac{\text{Ei}(a+b x)}{2 x^2}-\frac{b e^{a+b x}}{2 a x}",1,"-(b*E^(a + b*x))/(2*a*x) - (b^2*E^a*ExpIntegralEi[b*x])/(2*a^2) + (b^2*E^a*ExpIntegralEi[b*x])/(2*a) + (b^2*ExpIntegralEi[a + b*x])/(2*a^2) - ExpIntegralEi[a + b*x]/(2*x^2)","A",7,4,10,0.4000,1,"{6485, 6742, 2177, 2178}"
160,1,286,0,0.6823974,"\int x^2 \text{Ei}(a+b x)^2 \, dx","Int[x^2*ExpIntegralEi[a + b*x]^2,x]","\frac{a^2 (a+b x) \text{Ei}(a+b x)^2}{3 b^3}-\frac{2 a^2 e^{a+b x} \text{Ei}(a+b x)}{3 b^3}+\frac{2 a^2 \text{Ei}(2 (a+b x))}{b^3}-\frac{a^2 x \text{Ei}(a+b x)^2}{3 b^2}-\frac{2 a e^{a+b x} \text{Ei}(a+b x)}{3 b^3}-\frac{4 e^{a+b x} \text{Ei}(a+b x)}{3 b^3}+\frac{2 a \text{Ei}(2 (a+b x))}{b^3}+\frac{4 \text{Ei}(2 (a+b x))}{3 b^3}-\frac{2 a e^{2 a+2 b x}}{3 b^3}-\frac{5 e^{2 a+2 b x}}{6 b^3}+\frac{2 a x e^{a+b x} \text{Ei}(a+b x)}{3 b^2}+\frac{4 x e^{a+b x} \text{Ei}(a+b x)}{3 b^2}+\frac{x e^{2 a+2 b x}}{3 b^2}+\frac{1}{3} x^3 \text{Ei}(a+b x)^2-\frac{2 x^2 e^{a+b x} \text{Ei}(a+b x)}{3 b}","\frac{a^2 (a+b x) \text{Ei}(a+b x)^2}{3 b^3}-\frac{2 a^2 e^{a+b x} \text{Ei}(a+b x)}{3 b^3}+\frac{2 a^2 \text{Ei}(2 (a+b x))}{b^3}-\frac{a^2 x \text{Ei}(a+b x)^2}{3 b^2}-\frac{2 a e^{a+b x} \text{Ei}(a+b x)}{3 b^3}-\frac{4 e^{a+b x} \text{Ei}(a+b x)}{3 b^3}+\frac{2 a \text{Ei}(2 (a+b x))}{b^3}+\frac{4 \text{Ei}(2 (a+b x))}{3 b^3}-\frac{2 a e^{2 a+2 b x}}{3 b^3}-\frac{5 e^{2 a+2 b x}}{6 b^3}+\frac{2 a x e^{a+b x} \text{Ei}(a+b x)}{3 b^2}+\frac{4 x e^{a+b x} \text{Ei}(a+b x)}{3 b^2}+\frac{x e^{2 a+2 b x}}{3 b^2}+\frac{1}{3} x^3 \text{Ei}(a+b x)^2-\frac{2 x^2 e^{a+b x} \text{Ei}(a+b x)}{3 b}",1,"(-5*E^(2*a + 2*b*x))/(6*b^3) - (2*a*E^(2*a + 2*b*x))/(3*b^3) + (E^(2*a + 2*b*x)*x)/(3*b^2) - (4*E^(a + b*x)*ExpIntegralEi[a + b*x])/(3*b^3) - (2*a*E^(a + b*x)*ExpIntegralEi[a + b*x])/(3*b^3) - (2*a^2*E^(a + b*x)*ExpIntegralEi[a + b*x])/(3*b^3) + (4*E^(a + b*x)*x*ExpIntegralEi[a + b*x])/(3*b^2) + (2*a*E^(a + b*x)*x*ExpIntegralEi[a + b*x])/(3*b^2) - (2*E^(a + b*x)*x^2*ExpIntegralEi[a + b*x])/(3*b) - (a^2*x*ExpIntegralEi[a + b*x]^2)/(3*b^2) + (x^3*ExpIntegralEi[a + b*x]^2)/3 + (a^2*(a + b*x)*ExpIntegralEi[a + b*x]^2)/(3*b^3) + (4*ExpIntegralEi[2*(a + b*x)])/(3*b^3) + (2*a*ExpIntegralEi[2*(a + b*x)])/b^3 + (2*a^2*ExpIntegralEi[2*(a + b*x)])/b^3","A",26,8,12,0.6667,1,"{6488, 6490, 2199, 2194, 2176, 2178, 6489, 6486}"
161,1,152,0,0.2384087,"\int x \text{Ei}(a+b x)^2 \, dx","Int[x*ExpIntegralEi[a + b*x]^2,x]","-\frac{a (a+b x) \text{Ei}(a+b x)^2}{2 b^2}+\frac{a e^{a+b x} \text{Ei}(a+b x)}{b^2}+\frac{e^{a+b x} \text{Ei}(a+b x)}{b^2}-\frac{2 a \text{Ei}(2 (a+b x))}{b^2}-\frac{\text{Ei}(2 (a+b x))}{b^2}+\frac{e^{2 a+2 b x}}{2 b^2}+\frac{1}{2} x^2 \text{Ei}(a+b x)^2+\frac{a x \text{Ei}(a+b x)^2}{2 b}-\frac{x e^{a+b x} \text{Ei}(a+b x)}{b}","-\frac{a (a+b x) \text{Ei}(a+b x)^2}{2 b^2}+\frac{a e^{a+b x} \text{Ei}(a+b x)}{b^2}+\frac{e^{a+b x} \text{Ei}(a+b x)}{b^2}-\frac{2 a \text{Ei}(2 (a+b x))}{b^2}-\frac{\text{Ei}(2 (a+b x))}{b^2}+\frac{e^{2 a+2 b x}}{2 b^2}+\frac{1}{2} x^2 \text{Ei}(a+b x)^2+\frac{a x \text{Ei}(a+b x)^2}{2 b}-\frac{x e^{a+b x} \text{Ei}(a+b x)}{b}",1,"E^(2*a + 2*b*x)/(2*b^2) + (E^(a + b*x)*ExpIntegralEi[a + b*x])/b^2 + (a*E^(a + b*x)*ExpIntegralEi[a + b*x])/b^2 - (E^(a + b*x)*x*ExpIntegralEi[a + b*x])/b + (a*x*ExpIntegralEi[a + b*x]^2)/(2*b) + (x^2*ExpIntegralEi[a + b*x]^2)/2 - (a*(a + b*x)*ExpIntegralEi[a + b*x]^2)/(2*b^2) - ExpIntegralEi[2*(a + b*x)]/b^2 - (2*a*ExpIntegralEi[2*(a + b*x)])/b^2","A",11,7,10,0.7000,1,"{6488, 6490, 2199, 2194, 2178, 6489, 6486}"
162,1,49,0,0.054868,"\int \text{Ei}(a+b x)^2 \, dx","Int[ExpIntegralEi[a + b*x]^2,x]","\frac{(a+b x) \text{Ei}(a+b x)^2}{b}-\frac{2 e^{a+b x} \text{Ei}(a+b x)}{b}+\frac{2 \text{Ei}(2 (a+b x))}{b}","\frac{(a+b x) \text{Ei}(a+b x)^2}{b}-\frac{2 e^{a+b x} \text{Ei}(a+b x)}{b}+\frac{2 \text{Ei}(2 (a+b x))}{b}",1,"(-2*E^(a + b*x)*ExpIntegralEi[a + b*x])/b + ((a + b*x)*ExpIntegralEi[a + b*x]^2)/b + (2*ExpIntegralEi[2*(a + b*x)])/b","A",3,3,8,0.3750,1,"{6486, 6489, 2178}"
163,0,0,0,0.0297139,"\int \frac{\text{Ei}(a+b x)^2}{x} \, dx","Int[ExpIntegralEi[a + b*x]^2/x,x]","\int \frac{\text{Ei}(a+b x)^2}{x} \, dx","\text{Int}\left(\frac{\text{Ei}(a+b x)^2}{x},x\right)",0,"Defer[Int][ExpIntegralEi[a + b*x]^2/x, x]","N/A",0,0,0,0,-1,"{}"
164,0,0,0,0.0299246,"\int \frac{\text{Ei}(a+b x)^2}{x^2} \, dx","Int[ExpIntegralEi[a + b*x]^2/x^2,x]","\int \frac{\text{Ei}(a+b x)^2}{x^2} \, dx","\text{Int}\left(\frac{\text{Ei}(a+b x)^2}{x^2},x\right)",0,"Defer[Int][ExpIntegralEi[a + b*x]^2/x^2, x]","N/A",0,0,0,0,-1,"{}"
165,0,0,0,0.0310287,"\int x^2 \text{Ei}(a+b x)^3 \, dx","Int[x^2*ExpIntegralEi[a + b*x]^3,x]","\int x^2 \text{Ei}(a+b x)^3 \, dx","\text{Int}\left(x^2 \text{Ei}(a+b x)^3,x\right)",0,"Defer[Int][x^2*ExpIntegralEi[a + b*x]^3, x]","N/A",0,0,0,0,-1,"{}"
166,0,0,0,0.0204264,"\int x \text{Ei}(a+b x)^3 \, dx","Int[x*ExpIntegralEi[a + b*x]^3,x]","\int x \text{Ei}(a+b x)^3 \, dx","\text{Int}\left(x \text{Ei}(a+b x)^3,x\right)",0,"Defer[Int][x*ExpIntegralEi[a + b*x]^3, x]","N/A",0,0,0,0,-1,"{}"
167,0,0,0,0.0156941,"\int \text{Ei}(a+b x)^3 \, dx","Int[ExpIntegralEi[a + b*x]^3,x]","\int \text{Ei}(a+b x)^3 \, dx","\text{Int}\left(\text{Ei}(a+b x)^3,x\right)",0,"Defer[Subst][Defer[Int][ExpIntegralEi[x]^3, x], x, a + b*x]/b","N/A",0,0,0,0,-1,"{}"
168,0,0,0,0.0276379,"\int \frac{\text{Ei}(a+b x)^3}{x} \, dx","Int[ExpIntegralEi[a + b*x]^3/x,x]","\int \frac{\text{Ei}(a+b x)^3}{x} \, dx","\text{Int}\left(\frac{\text{Ei}(a+b x)^3}{x},x\right)",0,"Defer[Int][ExpIntegralEi[a + b*x]^3/x, x]","N/A",0,0,0,0,-1,"{}"
169,0,0,0,0.033406,"\int \frac{\text{Ei}(a+b x)^3}{x^2} \, dx","Int[ExpIntegralEi[a + b*x]^3/x^2,x]","\int \frac{\text{Ei}(a+b x)^3}{x^2} \, dx","\text{Int}\left(\frac{\text{Ei}(a+b x)^3}{x^2},x\right)",0,"Defer[Int][ExpIntegralEi[a + b*x]^3/x^2, x]","N/A",0,0,0,0,-1,"{}"
170,0,0,0,0.0501313,"\int (c+d x)^m \text{Ei}(a+b x)^3 \, dx","Int[(c + d*x)^m*ExpIntegralEi[a + b*x]^3,x]","\int (c+d x)^m \text{Ei}(a+b x)^3 \, dx","\text{Int}\left(\text{Ei}(a+b x)^3 (c+d x)^m,x\right)",0,"Defer[Int][(c + d*x)^m*ExpIntegralEi[a + b*x]^3, x]","N/A",0,0,0,0,-1,"{}"
171,0,0,0,0.0381696,"\int (c+d x)^m \text{Ei}(a+b x)^2 \, dx","Int[(c + d*x)^m*ExpIntegralEi[a + b*x]^2,x]","\int (c+d x)^m \text{Ei}(a+b x)^2 \, dx","\text{Int}\left(\text{Ei}(a+b x)^2 (c+d x)^m,x\right)",0,"Defer[Int][(c + d*x)^m*ExpIntegralEi[a + b*x]^2, x]","N/A",0,0,0,0,-1,"{}"
172,0,0,0,0.2456642,"\int (c+d x)^m \text{Ei}(a+b x) \, dx","Int[(c + d*x)^m*ExpIntegralEi[a + b*x],x]","\int (c+d x)^m \text{Ei}(a+b x) \, dx","\frac{\text{Ei}(a+b x) (c+d x)^{m+1}}{d (m+1)}-\frac{b \text{Int}\left(\frac{e^{a+b x} (c+d x)^{m+1}}{a+b x},x\right)}{d (m+1)}",0,"((c + d*x)^(1 + m)*ExpIntegralEi[a + b*x])/(d*(1 + m)) - (b*Defer[Int][(E^(a + b*x)*(c + d*x)^(1 + m))/(a + b*x), x])/(d*(1 + m))","N/A",0,0,0,0,-1,"{}"
173,0,0,0,0.0415841,"\int \frac{(c+d x)^m}{\text{Ei}(a+b x)} \, dx","Int[(c + d*x)^m/ExpIntegralEi[a + b*x],x]","\int \frac{(c+d x)^m}{\text{Ei}(a+b x)} \, dx","\text{Int}\left(\frac{(c+d x)^m}{\text{Ei}(a+b x)},x\right)",0,"Defer[Int][(c + d*x)^m/ExpIntegralEi[a + b*x], x]","N/A",0,0,0,0,-1,"{}"
174,0,0,0,0.0390242,"\int \frac{(c+d x)^m}{\text{Ei}(a+b x)^2} \, dx","Int[(c + d*x)^m/ExpIntegralEi[a + b*x]^2,x]","\int \frac{(c+d x)^m}{\text{Ei}(a+b x)^2} \, dx","\text{Int}\left(\frac{(c+d x)^m}{\text{Ei}(a+b x)^2},x\right)",0,"Defer[Int][(c + d*x)^m/ExpIntegralEi[a + b*x]^2, x]","N/A",0,0,0,0,-1,"{}"
175,1,74,0,0.114302,"\int x^2 \text{Ei}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[x^2*ExpIntegralEi[d*(a + b*Log[c*x^n])],x]","\frac{1}{3} x^3 \text{Ei}\left(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} \text{Ei}\left(\frac{(b d n+3) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)","\frac{1}{3} x^3 \text{Ei}\left(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} \text{Ei}\left(\frac{(b d n+3) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)",1,"(x^3*ExpIntegralEi[d*(a + b*Log[c*x^n])])/3 - (x^3*ExpIntegralEi[((3 + b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(3*E^((3*a)/(b*n))*(c*x^n)^(3/n))","A",3,3,17,0.1765,1,"{6494, 2310, 2178}"
176,1,74,0,0.1063179,"\int x \text{Ei}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[x*ExpIntegralEi[d*(a + b*Log[c*x^n])],x]","\frac{1}{2} x^2 \text{Ei}\left(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} \text{Ei}\left(\frac{(b d n+2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)","\frac{1}{2} x^2 \text{Ei}\left(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} \text{Ei}\left(\frac{(b d n+2) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)",1,"(x^2*ExpIntegralEi[d*(a + b*Log[c*x^n])])/2 - (x^2*ExpIntegralEi[((2 + b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(2*E^((2*a)/(b*n))*(c*x^n)^(2/n))","A",3,3,15,0.2000,1,"{6494, 2310, 2178}"
177,1,65,0,0.1153417,"\int \text{Ei}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[ExpIntegralEi[d*(a + b*Log[c*x^n])],x]","x \text{Ei}\left(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} \text{Ei}\left(\frac{(b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)","x \text{Ei}\left(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} \text{Ei}\left(\frac{(b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)",1,"x*ExpIntegralEi[d*(a + b*Log[c*x^n])] - (x*ExpIntegralEi[((1 + b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(E^(a/(b*n))*(c*x^n)^n^(-1))","A",4,4,13,0.3077,1,"{6492, 15, 2310, 2178}"
178,1,56,0,0.0382815,"\int \frac{\text{Ei}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x} \, dx","Int[ExpIntegralEi[d*(a + b*Log[c*x^n])]/x,x]","\frac{\left(a+b \log \left(c x^n\right)\right) \text{Ei}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{b n}-\frac{e^{a d} \left(c x^n\right)^{b d}}{b d n}","\frac{\left(a+b \log \left(c x^n\right)\right) \text{Ei}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{b n}-\frac{e^{a d} \left(c x^n\right)^{b d}}{b d n}",1,"-((E^(a*d)*(c*x^n)^(b*d))/(b*d*n)) + (ExpIntegralEi[d*(a + b*Log[c*x^n])]*(a + b*Log[c*x^n]))/(b*n)","A",3,1,17,0.05882,1,"{6482}"
179,1,68,0,0.1194446,"\int \frac{\text{Ei}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^2} \, dx","Int[ExpIntegralEi[d*(a + b*Log[c*x^n])]/x^2,x]","\frac{e^{\frac{a}{b n}} \left(c x^n\right)^{\frac{1}{n}} \text{Ei}\left(-\frac{(1-b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{x}-\frac{\text{Ei}\left(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}} \text{Ei}\left(-\frac{(1-b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{x}-\frac{\text{Ei}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x}",1,"-(ExpIntegralEi[d*(a + b*Log[c*x^n])]/x) + (E^(a/(b*n))*(c*x^n)^n^(-1)*ExpIntegralEi[-(((1 - b*d*n)*(a + b*Log[c*x^n]))/(b*n))])/x","A",3,3,17,0.1765,1,"{6494, 2310, 2178}"
180,1,76,0,0.1168135,"\int \frac{\text{Ei}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^3} \, dx","Int[ExpIntegralEi[d*(a + b*Log[c*x^n])]/x^3,x]","\frac{e^{\frac{2 a}{b n}} \left(c x^n\right)^{2/n} \text{Ei}\left(-\frac{(2-b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 x^2}-\frac{\text{Ei}\left(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} \text{Ei}\left(-\frac{(2-b d n) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)}{2 x^2}-\frac{\text{Ei}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{2 x^2}",1,"-ExpIntegralEi[d*(a + b*Log[c*x^n])]/(2*x^2) + (E^((2*a)/(b*n))*(c*x^n)^(2/n)*ExpIntegralEi[-(((2 - b*d*n)*(a + b*Log[c*x^n]))/(b*n))])/(2*x^2)","A",3,3,17,0.1765,1,"{6494, 2310, 2178}"
181,1,100,0,0.157124,"\int (e x)^m \text{Ei}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Int[(e*x)^m*ExpIntegralEi[d*(a + b*Log[c*x^n])],x]","\frac{(e x)^{m+1} \text{Ei}\left(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}} \text{Ei}\left(\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} \text{Ei}\left(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}} \text{Ei}\left(\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)*ExpIntegralEi[d*(a + b*Log[c*x^n])])/(e*(1 + m)) - ((e*x)^(1 + m)*ExpIntegralEi[((1 + m + b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/(e*E^((a*(1 + m))/(b*n))*(1 + m)*(c*x^n)^((1 + m)/n))","A",3,3,19,0.1579,1,"{6494, 2310, 2178}"
182,1,82,0,0.1830611,"\int \frac{e^{b x} \text{Ei}(b x)}{x^3} \, dx","Int[(E^(b*x)*ExpIntegralEi[b*x])/x^3,x]","\frac{1}{4} b^2 \text{Ei}(b x)^2+2 b^2 \text{Ei}(2 b x)-\frac{e^{b x} \text{Ei}(b x)}{2 x^2}-\frac{b e^{b x} \text{Ei}(b x)}{2 x}-\frac{e^{2 b x}}{4 x^2}-\frac{b e^{2 b x}}{x}","\frac{1}{4} b^2 \text{Ei}(b x)^2+2 b^2 \text{Ei}(2 b x)-\frac{e^{b x} \text{Ei}(b x)}{2 x^2}-\frac{b e^{b x} \text{Ei}(b x)}{2 x}-\frac{e^{2 b x}}{4 x^2}-\frac{b e^{2 b x}}{x}",1,"-E^(2*b*x)/(4*x^2) - (b*E^(2*b*x))/x - (E^(b*x)*ExpIntegralEi[b*x])/(2*x^2) - (b*E^(b*x)*ExpIntegralEi[b*x])/(2*x) + (b^2*ExpIntegralEi[b*x]^2)/4 + 2*b^2*ExpIntegralEi[2*b*x]","A",10,5,13,0.3846,1,"{6491, 6686, 12, 2177, 2178}"
183,1,45,0,0.0936977,"\int \frac{e^{b x} \text{Ei}(b x)}{x^2} \, dx","Int[(E^(b*x)*ExpIntegralEi[b*x])/x^2,x]","\frac{1}{2} b \text{Ei}(b x)^2-\frac{e^{b x} \text{Ei}(b x)}{x}+2 b \text{Ei}(2 b x)-\frac{e^{2 b x}}{x}","\frac{1}{2} b \text{Ei}(b x)^2-\frac{e^{b x} \text{Ei}(b x)}{x}+2 b \text{Ei}(2 b x)-\frac{e^{2 b x}}{x}",1,"-(E^(2*b*x)/x) - (E^(b*x)*ExpIntegralEi[b*x])/x + (b*ExpIntegralEi[b*x]^2)/2 + 2*b*ExpIntegralEi[2*b*x]","A",5,5,13,0.3846,1,"{6491, 6686, 12, 2177, 2178}"
184,1,10,0,0.032219,"\int \frac{e^{b x} \text{Ei}(b x)}{x} \, dx","Int[(E^(b*x)*ExpIntegralEi[b*x])/x,x]","\frac{\text{Ei}(b x)^2}{2}","\frac{\text{Ei}(b x)^2}{2}",1,"ExpIntegralEi[b*x]^2/2","A",1,1,13,0.07692,1,"{6686}"
185,1,24,0,0.0326338,"\int e^{b x} \text{Ei}(b x) \, dx","Int[E^(b*x)*ExpIntegralEi[b*x],x]","\frac{e^{b x} \text{Ei}(b x)}{b}-\frac{\text{Ei}(2 b x)}{b}","\frac{e^{b x} \text{Ei}(b x)}{b}-\frac{\text{Ei}(2 b x)}{b}",1,"(E^(b*x)*ExpIntegralEi[b*x])/b - ExpIntegralEi[2*b*x]/b","A",3,3,10,0.3000,1,"{6489, 12, 2178}"
186,1,51,0,0.0575061,"\int e^{b x} x \text{Ei}(b x) \, dx","Int[E^(b*x)*x*ExpIntegralEi[b*x],x]","-\frac{e^{b x} \text{Ei}(b x)}{b^2}+\frac{\text{Ei}(2 b x)}{b^2}-\frac{e^{2 b x}}{2 b^2}+\frac{x e^{b x} \text{Ei}(b x)}{b}","-\frac{e^{b x} \text{Ei}(b x)}{b^2}+\frac{\text{Ei}(2 b x)}{b^2}-\frac{e^{2 b x}}{2 b^2}+\frac{x e^{b x} \text{Ei}(b x)}{b}",1,"-E^(2*b*x)/(2*b^2) - (E^(b*x)*ExpIntegralEi[b*x])/b^2 + (E^(b*x)*x*ExpIntegralEi[b*x])/b + ExpIntegralEi[2*b*x]/b^2","A",6,5,11,0.4545,1,"{6490, 12, 2194, 6489, 2178}"
187,1,83,0,0.1098877,"\int e^{b x} x^2 \text{Ei}(b x) \, dx","Int[E^(b*x)*x^2*ExpIntegralEi[b*x],x]","\frac{2 e^{b x} \text{Ei}(b x)}{b^3}-\frac{2 \text{Ei}(2 b x)}{b^3}+\frac{5 e^{2 b x}}{4 b^3}-\frac{2 x e^{b x} \text{Ei}(b x)}{b^2}-\frac{x e^{2 b x}}{2 b^2}+\frac{x^2 e^{b x} \text{Ei}(b x)}{b}","\frac{2 e^{b x} \text{Ei}(b x)}{b^3}-\frac{2 \text{Ei}(2 b x)}{b^3}+\frac{5 e^{2 b x}}{4 b^3}-\frac{2 x e^{b x} \text{Ei}(b x)}{b^2}-\frac{x e^{2 b x}}{2 b^2}+\frac{x^2 e^{b x} \text{Ei}(b x)}{b}",1,"(5*E^(2*b*x))/(4*b^3) - (E^(2*b*x)*x)/(2*b^2) + (2*E^(b*x)*ExpIntegralEi[b*x])/b^3 - (2*E^(b*x)*x*ExpIntegralEi[b*x])/b^2 + (E^(b*x)*x^2*ExpIntegralEi[b*x])/b - (2*ExpIntegralEi[2*b*x])/b^3","A",10,6,13,0.4615,1,"{6490, 12, 2176, 2194, 6489, 2178}"
188,1,112,0,0.1696096,"\int e^{b x} x^3 \text{Ei}(b x) \, dx","Int[E^(b*x)*x^3*ExpIntegralEi[b*x],x]","-\frac{6 e^{b x} \text{Ei}(b x)}{b^4}+\frac{6 \text{Ei}(2 b x)}{b^4}-\frac{4 e^{2 b x}}{b^4}+\frac{6 x e^{b x} \text{Ei}(b x)}{b^3}+\frac{2 x e^{2 b x}}{b^3}-\frac{3 x^2 e^{b x} \text{Ei}(b x)}{b^2}-\frac{x^2 e^{2 b x}}{2 b^2}+\frac{x^3 e^{b x} \text{Ei}(b x)}{b}","-\frac{6 e^{b x} \text{Ei}(b x)}{b^4}+\frac{6 \text{Ei}(2 b x)}{b^4}-\frac{4 e^{2 b x}}{b^4}+\frac{6 x e^{b x} \text{Ei}(b x)}{b^3}+\frac{2 x e^{2 b x}}{b^3}-\frac{3 x^2 e^{b x} \text{Ei}(b x)}{b^2}-\frac{x^2 e^{2 b x}}{2 b^2}+\frac{x^3 e^{b x} \text{Ei}(b x)}{b}",1,"(-4*E^(2*b*x))/b^4 + (2*E^(2*b*x)*x)/b^3 - (E^(2*b*x)*x^2)/(2*b^2) - (6*E^(b*x)*ExpIntegralEi[b*x])/b^4 + (6*E^(b*x)*x*ExpIntegralEi[b*x])/b^3 - (3*E^(b*x)*x^2*ExpIntegralEi[b*x])/b^2 + (E^(b*x)*x^3*ExpIntegralEi[b*x])/b + (6*ExpIntegralEi[2*b*x])/b^4","A",15,6,13,0.4615,1,"{6490, 12, 2176, 2194, 6489, 2178}"
189,1,433,0,1.857135,"\int e^{a+b x} x^3 \text{Ei}(c+d x) \, dx","Int[E^(a + b*x)*x^3*ExpIntegralEi[c + d*x],x]","-\frac{6 e^{a+b x} \text{Ei}(c+d x)}{b^4}+\frac{6 e^{a-\frac{b c}{d}} \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)}{b^4}+\frac{6 c e^{a-\frac{b c}{d}} \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)}{b^3 d}+\frac{6 x e^{a+b x} \text{Ei}(c+d x)}{b^3}-\frac{6 e^{a+x (b+d)+c}}{b^3 (b+d)}+\frac{3 c^2 e^{a-\frac{b c}{d}} \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)}{b^2 d^2}-\frac{3 x^2 e^{a+b x} \text{Ei}(c+d x)}{b^2}-\frac{3 c e^{a+x (b+d)+c}}{b^2 d (b+d)}-\frac{3 e^{a+x (b+d)+c}}{b^2 (b+d)^2}+\frac{3 x e^{a+x (b+d)+c}}{b^2 (b+d)}+\frac{c^3 e^{a-\frac{b c}{d}} \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)}{b d^3}-\frac{c^2 e^{a+x (b+d)+c}}{b d^2 (b+d)}+\frac{x^3 e^{a+b x} \text{Ei}(c+d x)}{b}-\frac{x^2 e^{a+x (b+d)+c}}{b (b+d)}-\frac{c e^{a+x (b+d)+c}}{b d (b+d)^2}+\frac{c x e^{a+x (b+d)+c}}{b d (b+d)}-\frac{2 e^{a+x (b+d)+c}}{b (b+d)^3}+\frac{2 x e^{a+x (b+d)+c}}{b (b+d)^2}","-\frac{6 e^{a+b x} \text{Ei}(c+d x)}{b^4}+\frac{6 e^{a-\frac{b c}{d}} \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)}{b^4}+\frac{6 c e^{a-\frac{b c}{d}} \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)}{b^3 d}+\frac{6 x e^{a+b x} \text{Ei}(c+d x)}{b^3}-\frac{6 e^{a+x (b+d)+c}}{b^3 (b+d)}+\frac{3 c^2 e^{a-\frac{b c}{d}} \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)}{b^2 d^2}-\frac{3 x^2 e^{a+b x} \text{Ei}(c+d x)}{b^2}-\frac{3 c e^{a+x (b+d)+c}}{b^2 d (b+d)}-\frac{3 e^{a+x (b+d)+c}}{b^2 (b+d)^2}+\frac{3 x e^{a+x (b+d)+c}}{b^2 (b+d)}+\frac{c^3 e^{a-\frac{b c}{d}} \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)}{b d^3}-\frac{c^2 e^{a+x (b+d)+c}}{b d^2 (b+d)}+\frac{x^3 e^{a+b x} \text{Ei}(c+d x)}{b}-\frac{x^2 e^{a+x (b+d)+c}}{b (b+d)}-\frac{c e^{a+x (b+d)+c}}{b d (b+d)^2}+\frac{c x e^{a+x (b+d)+c}}{b d (b+d)}-\frac{2 e^{a+x (b+d)+c}}{b (b+d)^3}+\frac{2 x e^{a+x (b+d)+c}}{b (b+d)^2}",1,"(-2*E^(a + c + (b + d)*x))/(b*(b + d)^3) - (3*E^(a + c + (b + d)*x))/(b^2*(b + d)^2) - (c*E^(a + c + (b + d)*x))/(b*d*(b + d)^2) - (6*E^(a + c + (b + d)*x))/(b^3*(b + d)) - (c^2*E^(a + c + (b + d)*x))/(b*d^2*(b + d)) - (3*c*E^(a + c + (b + d)*x))/(b^2*d*(b + d)) + (2*E^(a + c + (b + d)*x)*x)/(b*(b + d)^2) + (3*E^(a + c + (b + d)*x)*x)/(b^2*(b + d)) + (c*E^(a + c + (b + d)*x)*x)/(b*d*(b + d)) - (E^(a + c + (b + d)*x)*x^2)/(b*(b + d)) - (6*E^(a + b*x)*ExpIntegralEi[c + d*x])/b^4 + (6*E^(a + b*x)*x*ExpIntegralEi[c + d*x])/b^3 - (3*E^(a + b*x)*x^2*ExpIntegralEi[c + d*x])/b^2 + (E^(a + b*x)*x^3*ExpIntegralEi[c + d*x])/b + (6*E^(a - (b*c)/d)*ExpIntegralEi[((b + d)*(c + d*x))/d])/b^4 + (c^3*E^(a - (b*c)/d)*ExpIntegralEi[((b + d)*(c + d*x))/d])/(b*d^3) + (3*c^2*E^(a - (b*c)/d)*ExpIntegralEi[((b + d)*(c + d*x))/d])/(b^2*d^2) + (6*c*E^(a - (b*c)/d)*ExpIntegralEi[((b + d)*(c + d*x))/d])/(b^3*d)","A",24,6,17,0.3529,1,"{6490, 2199, 2194, 2176, 2178, 6489}"
190,1,238,0,1.0624429,"\int e^{a+b x} x^2 \text{Ei}(c+d x) \, dx","Int[E^(a + b*x)*x^2*ExpIntegralEi[c + d*x],x]","\frac{2 e^{a+b x} \text{Ei}(c+d x)}{b^3}-\frac{2 e^{a-\frac{b c}{d}} \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)}{b^3}-\frac{2 c e^{a-\frac{b c}{d}} \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)}{b^2 d}-\frac{2 x e^{a+b x} \text{Ei}(c+d x)}{b^2}+\frac{2 e^{a+x (b+d)+c}}{b^2 (b+d)}-\frac{c^2 e^{a-\frac{b c}{d}} \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)}{b d^2}+\frac{x^2 e^{a+b x} \text{Ei}(c+d x)}{b}+\frac{c e^{a+x (b+d)+c}}{b d (b+d)}+\frac{e^{a+x (b+d)+c}}{b (b+d)^2}-\frac{x e^{a+x (b+d)+c}}{b (b+d)}","\frac{2 e^{a+b x} \text{Ei}(c+d x)}{b^3}-\frac{2 e^{a-\frac{b c}{d}} \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)}{b^3}-\frac{2 c e^{a-\frac{b c}{d}} \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)}{b^2 d}-\frac{2 x e^{a+b x} \text{Ei}(c+d x)}{b^2}+\frac{2 e^{a+x (b+d)+c}}{b^2 (b+d)}-\frac{c^2 e^{a-\frac{b c}{d}} \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)}{b d^2}+\frac{x^2 e^{a+b x} \text{Ei}(c+d x)}{b}+\frac{c e^{a+x (b+d)+c}}{b d (b+d)}+\frac{e^{a+x (b+d)+c}}{b (b+d)^2}-\frac{x e^{a+x (b+d)+c}}{b (b+d)}",1,"E^(a + c + (b + d)*x)/(b*(b + d)^2) + (2*E^(a + c + (b + d)*x))/(b^2*(b + d)) + (c*E^(a + c + (b + d)*x))/(b*d*(b + d)) - (E^(a + c + (b + d)*x)*x)/(b*(b + d)) + (2*E^(a + b*x)*ExpIntegralEi[c + d*x])/b^3 - (2*E^(a + b*x)*x*ExpIntegralEi[c + d*x])/b^2 + (E^(a + b*x)*x^2*ExpIntegralEi[c + d*x])/b - (2*E^(a - (b*c)/d)*ExpIntegralEi[((b + d)*(c + d*x))/d])/b^3 - (c^2*E^(a - (b*c)/d)*ExpIntegralEi[((b + d)*(c + d*x))/d])/(b*d^2) - (2*c*E^(a - (b*c)/d)*ExpIntegralEi[((b + d)*(c + d*x))/d])/(b^2*d)","A",14,6,17,0.3529,1,"{6490, 2199, 2194, 2176, 2178, 6489}"
191,1,117,0,0.4915847,"\int e^{a+b x} x \text{Ei}(c+d x) \, dx","Int[E^(a + b*x)*x*ExpIntegralEi[c + d*x],x]","-\frac{e^{a+b x} \text{Ei}(c+d x)}{b^2}+\frac{e^{a-\frac{b c}{d}} \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)}{b^2}+\frac{x e^{a+b x} \text{Ei}(c+d x)}{b}+\frac{c e^{a-\frac{b c}{d}} \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)}{b d}-\frac{e^{a+x (b+d)+c}}{b (b+d)}","-\frac{e^{a+b x} \text{Ei}(c+d x)}{b^2}+\frac{e^{a-\frac{b c}{d}} \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)}{b^2}+\frac{x e^{a+b x} \text{Ei}(c+d x)}{b}+\frac{c e^{a-\frac{b c}{d}} \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)}{b d}-\frac{e^{a+x (b+d)+c}}{b (b+d)}",1,"-(E^(a + c + (b + d)*x)/(b*(b + d))) - (E^(a + b*x)*ExpIntegralEi[c + d*x])/b^2 + (E^(a + b*x)*x*ExpIntegralEi[c + d*x])/b + (E^(a - (b*c)/d)*ExpIntegralEi[((b + d)*(c + d*x))/d])/b^2 + (c*E^(a - (b*c)/d)*ExpIntegralEi[((b + d)*(c + d*x))/d])/(b*d)","A",7,5,15,0.3333,1,"{6490, 2199, 2194, 2178, 6489}"
192,1,47,0,0.1246086,"\int e^{a+b x} \text{Ei}(c+d x) \, dx","Int[E^(a + b*x)*ExpIntegralEi[c + d*x],x]","\frac{e^{a+b x} \text{Ei}(c+d x)}{b}-\frac{e^{a-\frac{b c}{d}} \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)}{b}","\frac{e^{a+b x} \text{Ei}(c+d x)}{b}-\frac{e^{a-\frac{b c}{d}} \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)}{b}",1,"(E^(a + b*x)*ExpIntegralEi[c + d*x])/b - (E^(a - (b*c)/d)*ExpIntegralEi[((b + d)*(c + d*x))/d])/b","A",2,2,14,0.1429,1,"{6489, 2178}"
193,0,0,0,0.1237308,"\int \frac{e^{a+b x} \text{Ei}(c+d x)}{x} \, dx","Int[(E^(a + b*x)*ExpIntegralEi[c + d*x])/x,x]","\int \frac{e^{a+b x} \text{Ei}(c+d x)}{x} \, dx","\text{Int}\left(\frac{e^{a+b x} \text{Ei}(c+d x)}{x},x\right)",0,"Defer[Int][(E^(a + b*x)*ExpIntegralEi[c + d*x])/x, x]","N/A",0,0,0,0,-1,"{}"
194,0,0,0,0.8021913,"\int \frac{e^{a+b x} \text{Ei}(c+d x)}{x^2} \, dx","Int[(E^(a + b*x)*ExpIntegralEi[c + d*x])/x^2,x]","\int \frac{e^{a+b x} \text{Ei}(c+d x)}{x^2} \, dx","b \text{Int}\left(\frac{e^{a+b x} \text{Ei}(c+d x)}{x},x\right)+\frac{d e^{a+c} \text{Ei}((b+d) x)}{c}-\frac{e^{a+b x} \text{Ei}(c+d x)}{x}-\frac{d e^{a-\frac{b c}{d}} \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)}{c}",0,"(d*E^(a + c)*ExpIntegralEi[(b + d)*x])/c - (E^(a + b*x)*ExpIntegralEi[c + d*x])/x - (d*E^(a - (b*c)/d)*ExpIntegralEi[((b + d)*(c + d*x))/d])/c + b*Defer[Int][(E^(a + b*x)*ExpIntegralEi[c + d*x])/x, x]","N/A",0,0,0,0,-1,"{}"
195,0,0,0,1.6563331,"\int \frac{e^{a+b x} \text{Ei}(c+d x)}{x^3} \, dx","Int[(E^(a + b*x)*ExpIntegralEi[c + d*x])/x^3,x]","\int \frac{e^{a+b x} \text{Ei}(c+d x)}{x^3} \, dx","\frac{1}{2} b^2 \text{Int}\left(\frac{e^{a+b x} \text{Ei}(c+d x)}{x},x\right)-\frac{d^2 e^{a+c} \text{Ei}((b+d) x)}{2 c^2}+\frac{d^2 e^{a-\frac{b c}{d}} \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)}{2 c^2}-\frac{e^{a+b x} \text{Ei}(c+d x)}{2 x^2}+\frac{b d e^{a+c} \text{Ei}((b+d) x)}{2 c}-\frac{b e^{a+b x} \text{Ei}(c+d x)}{2 x}-\frac{b d e^{a-\frac{b c}{d}} \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)}{2 c}+\frac{d e^{a+c} (b+d) \text{Ei}((b+d) x)}{2 c}-\frac{d e^{a+x (b+d)+c}}{2 c x}",0,"-(d*E^(a + c + (b + d)*x))/(2*c*x) + (b*d*E^(a + c)*ExpIntegralEi[(b + d)*x])/(2*c) - (d^2*E^(a + c)*ExpIntegralEi[(b + d)*x])/(2*c^2) + (d*(b + d)*E^(a + c)*ExpIntegralEi[(b + d)*x])/(2*c) - (E^(a + b*x)*ExpIntegralEi[c + d*x])/(2*x^2) - (b*E^(a + b*x)*ExpIntegralEi[c + d*x])/(2*x) - (b*d*E^(a - (b*c)/d)*ExpIntegralEi[((b + d)*(c + d*x))/d])/(2*c) + (d^2*E^(a - (b*c)/d)*ExpIntegralEi[((b + d)*(c + d*x))/d])/(2*c^2) + (b^2*Defer[Int][(E^(a + b*x)*ExpIntegralEi[c + d*x])/x, x])/2","N/A",0,0,0,0,-1,"{}"
196,1,26,0,0.06366,"\int x^2 \text{li}(b x) \, dx","Int[x^2*LogIntegral[b*x],x]","\frac{1}{3} x^3 \text{li}(b x)-\frac{\text{Ei}(4 \log (b x))}{3 b^3}","\frac{1}{3} x^3 \text{li}(b x)-\frac{\text{Ei}(4 \log (b x))}{3 b^3}",1,"-ExpIntegralEi[4*Log[b*x]]/(3*b^3) + (x^3*LogIntegral[b*x])/3","A",3,3,8,0.3750,1,"{6498, 2309, 2178}"
197,1,26,0,0.0461898,"\int x \text{li}(b x) \, dx","Int[x*LogIntegral[b*x],x]","\frac{1}{2} x^2 \text{li}(b x)-\frac{\text{Ei}(3 \log (b x))}{2 b^2}","\frac{1}{2} x^2 \text{li}(b x)-\frac{\text{Ei}(3 \log (b x))}{2 b^2}",1,"-ExpIntegralEi[3*Log[b*x]]/(2*b^2) + (x^2*LogIntegral[b*x])/2","A",3,3,6,0.5000,1,"{6498, 2309, 2178}"
198,1,19,0,0.0042387,"\int \text{li}(b x) \, dx","Int[LogIntegral[b*x],x]","x \text{li}(b x)-\frac{\text{Ei}(2 \log (b x))}{b}","x \text{li}(b x)-\frac{\text{Ei}(2 \log (b x))}{b}",1,"-(ExpIntegralEi[2*Log[b*x]]/b) + x*LogIntegral[b*x]","A",1,1,4,0.2500,1,"{6495}"
199,1,14,0,0.0127683,"\int \frac{\text{li}(b x)}{x} \, dx","Int[LogIntegral[b*x]/x,x]","\text{li}(b x) \log (b x)-b x","\text{li}(b x) \log (b x)-b x",1,"-(b*x) + Log[b*x]*LogIntegral[b*x]","A",1,1,8,0.1250,1,"{6496}"
200,1,17,0,0.0290763,"\int \frac{\text{li}(b x)}{x^2} \, dx","Int[LogIntegral[b*x]/x^2,x]","b \log (\log (b x))-\frac{\text{li}(b x)}{x}","b \log (\log (b x))-\frac{\text{li}(b x)}{x}",1,"b*Log[Log[b*x]] - LogIntegral[b*x]/x","A",3,3,8,0.3750,1,"{6498, 2302, 29}"
201,1,26,0,0.0439221,"\int \frac{\text{li}(b x)}{x^3} \, dx","Int[LogIntegral[b*x]/x^3,x]","\frac{1}{2} b^2 \text{Ei}(-\log (b x))-\frac{\text{li}(b x)}{2 x^2}","\frac{1}{2} b^2 \text{Ei}(-\log (b x))-\frac{\text{li}(b x)}{2 x^2}",1,"(b^2*ExpIntegralEi[-Log[b*x]])/2 - LogIntegral[b*x]/(2*x^2)","A",3,3,8,0.3750,1,"{6498, 2309, 2178}"
202,1,57,0,0.0642321,"\int (d x)^m \text{li}(b x) \, dx","Int[(d*x)^m*LogIntegral[b*x],x]","\frac{\text{li}(b x) (d x)^{m+1}}{d (m+1)}-\frac{b (b x)^{-m-2} (d x)^{m+2} \text{Ei}((m+2) \log (b x))}{d^2 (m+1)}","\frac{\text{li}(b x) (d x)^{m+1}}{d (m+1)}-\frac{b (b x)^{-m-2} (d x)^{m+2} \text{Ei}((m+2) \log (b x))}{d^2 (m+1)}",1,"-((b*(b*x)^(-2 - m)*(d*x)^(2 + m)*ExpIntegralEi[(2 + m)*Log[b*x]])/(d^2*(1 + m))) + ((d*x)^(1 + m)*LogIntegral[b*x])/(d*(1 + m))","A",3,3,10,0.3000,1,"{6498, 2310, 2178}"
203,1,77,0,0.1903576,"\int x^2 \text{li}(a+b x) \, dx","Int[x^2*LogIntegral[a + b*x],x]","\frac{a^3 \text{li}(a+b x)}{3 b^3}-\frac{a^2 \text{Ei}(2 \log (a+b x))}{b^3}+\frac{a \text{Ei}(3 \log (a+b x))}{b^3}-\frac{\text{Ei}(4 \log (a+b x))}{3 b^3}+\frac{1}{3} x^3 \text{li}(a+b x)","\frac{a^3 \text{li}(a+b x)}{3 b^3}-\frac{a^2 \text{Ei}(2 \log (a+b x))}{b^3}+\frac{a \text{Ei}(3 \log (a+b x))}{b^3}-\frac{\text{Ei}(4 \log (a+b x))}{3 b^3}+\frac{1}{3} x^3 \text{li}(a+b x)",1,"-((a^2*ExpIntegralEi[2*Log[a + b*x]])/b^3) + (a*ExpIntegralEi[3*Log[a + b*x]])/b^3 - ExpIntegralEi[4*Log[a + b*x]]/(3*b^3) + (a^3*LogIntegral[a + b*x])/(3*b^3) + (x^3*LogIntegral[a + b*x])/3","A",14,7,10,0.7000,1,"{6498, 2399, 2389, 2298, 2390, 2309, 2178}"
204,1,60,0,0.1315231,"\int x \text{li}(a+b x) \, dx","Int[x*LogIntegral[a + b*x],x]","-\frac{a^2 \text{li}(a+b x)}{2 b^2}+\frac{a \text{Ei}(2 \log (a+b x))}{b^2}-\frac{\text{Ei}(3 \log (a+b x))}{2 b^2}+\frac{1}{2} x^2 \text{li}(a+b x)","-\frac{a^2 \text{li}(a+b x)}{2 b^2}+\frac{a \text{Ei}(2 \log (a+b x))}{b^2}-\frac{\text{Ei}(3 \log (a+b x))}{2 b^2}+\frac{1}{2} x^2 \text{li}(a+b x)",1,"(a*ExpIntegralEi[2*Log[a + b*x]])/b^2 - ExpIntegralEi[3*Log[a + b*x]]/(2*b^2) - (a^2*LogIntegral[a + b*x])/(2*b^2) + (x^2*LogIntegral[a + b*x])/2","A",11,7,8,0.8750,1,"{6498, 2399, 2389, 2298, 2390, 2309, 2178}"
205,1,30,0,0.0061424,"\int \text{li}(a+b x) \, dx","Int[LogIntegral[a + b*x],x]","\frac{(a+b x) \text{li}(a+b x)}{b}-\frac{\text{Ei}(2 \log (a+b x))}{b}","\frac{(a+b x) \text{li}(a+b x)}{b}-\frac{\text{Ei}(2 \log (a+b x))}{b}",1,"-(ExpIntegralEi[2*Log[a + b*x]]/b) + ((a + b*x)*LogIntegral[a + b*x])/b","A",1,1,6,0.1667,1,"{6495}"
206,0,0,0,0.0110899,"\int \frac{\text{li}(a+b x)}{x} \, dx","Int[LogIntegral[a + b*x]/x,x]","\int \frac{\text{li}(a+b x)}{x} \, dx","\text{Int}\left(\frac{\text{li}(a+b x)}{x},x\right)",0,"Defer[Int][LogIntegral[a + b*x]/x, x]","N/A",0,0,0,0,-1,"{}"
207,0,0,0,0.0322777,"\int \frac{\text{li}(a+b x)}{x^2} \, dx","Int[LogIntegral[a + b*x]/x^2,x]","\int \frac{\text{li}(a+b x)}{x^2} \, dx","b \text{Int}\left(\frac{1}{x \log (a+b x)},x\right)-\frac{\text{li}(a+b x)}{x}",0,"-(LogIntegral[a + b*x]/x) + b*Defer[Int][1/(x*Log[a + b*x]), x]","N/A",0,0,0,0,-1,"{}"
208,0,0,0,0.0371315,"\int (d x)^m \text{li}(a+b x) \, dx","Int[(d*x)^m*LogIntegral[a + b*x],x]","\int (d x)^m \text{li}(a+b x) \, dx","\frac{(d x)^{m+1} \text{li}(a+b x)}{d (m+1)}-\frac{b \text{Int}\left(\frac{(d x)^{m+1}}{\log (a+b x)},x\right)}{d (m+1)}",0,"((d*x)^(1 + m)*LogIntegral[a + b*x])/(d*(1 + m)) - (b*Defer[Int][(d*x)^(1 + m)/Log[a + b*x], x])/(d*(1 + m))","N/A",0,0,0,0,-1,"{}"