1,1,25,25,0.0016728,"\int x^2 E_1(b x) \, dx","Integrate[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
2,1,25,25,0.000994,"\int x E_1(b x) \, dx","Integrate[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
3,1,10,10,0.0024703,"\int E_1(b x) \, dx","Integrate[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
4,1,32,32,0.0028184,"\int \frac{E_1(b x)}{x} \, dx","Integrate[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
5,1,20,20,0.0016957,"\int \frac{E_1(b x)}{x^2} \, dx","Integrate[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
6,1,25,25,0.0013457,"\int \frac{E_1(b x)}{x^3} \, dx","Integrate[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
7,1,25,25,0.0013999,"\int \frac{E_1(b x)}{x^4} \, dx","Integrate[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
8,1,25,25,0.0015612,"\int x^2 E_2(b x) \, dx","Integrate[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
9,1,25,25,0.001073,"\int x E_2(b x) \, dx","Integrate[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
10,1,10,10,0.0013462,"\int E_2(b x) \, dx","Integrate[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
11,1,13,13,0.0013032,"\int \frac{E_2(b x)}{x} \, dx","Integrate[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
12,1,46,46,0.0055411,"\int \frac{E_2(b x)}{x^2} \, dx","Integrate[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",1
13,1,20,20,0.0131234,"\int \frac{E_2(b x)}{x^3} \, dx","Integrate[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
14,1,25,25,0.002804,"\int \frac{E_2(b x)}{x^4} \, dx","Integrate[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
15,1,25,25,0.0013285,"\int \frac{E_2(b x)}{x^5} \, dx","Integrate[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
16,1,25,25,0.0030033,"\int x^2 E_3(b x) \, dx","Integrate[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
17,1,25,25,0.0009878,"\int x E_3(b x) \, dx","Integrate[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
18,1,10,10,0.0013906,"\int E_3(b x) \, dx","Integrate[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
19,1,19,19,0.0013926,"\int \frac{E_3(b x)}{x} \, dx","Integrate[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
20,1,20,20,0.0013293,"\int \frac{E_3(b x)}{x^2} \, dx","Integrate[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
21,1,59,70,0.0287169,"\int \frac{E_3(b x)}{x^3} \, dx","Integrate[ExpIntegralE[3, b*x]/x^3,x]","\frac{b x \left(b x \left(b x \, _3F_3(1,1,1;2,2,2;-b x)-\frac{1}{2} \log ^2(b x)-\gamma  \log (x)\right)+E_2(b x)\right)-E_3(b x)}{2 x^2}","\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,"(-ExpIntegralE[3, b*x] + b*x*(ExpIntegralE[2, b*x] + b*x*(b*x*HypergeometricPFQ[{1, 1, 1}, {2, 2, 2}, -(b*x)] - EulerGamma*Log[x] - Log[b*x]^2/2)))/(2*x^2)","A",1
22,1,20,20,0.0013478,"\int \frac{E_3(b x)}{x^4} \, dx","Integrate[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
23,1,25,25,0.0033013,"\int \frac{E_3(b x)}{x^5} \, dx","Integrate[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
24,1,25,25,0.0014058,"\int \frac{E_3(b x)}{x^6} \, dx","Integrate[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
25,1,25,25,0.0013416,"\int x^3 E_{-1}(b x) \, dx","Integrate[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
26,1,20,20,0.001437,"\int x^2 E_{-1}(b x) \, dx","Integrate[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
27,1,18,21,0.0234072,"\int x E_{-1}(b x) \, dx","Integrate[x*ExpIntegralE[-1, b*x],x]","\frac{\text{Ei}(-b x)-e^{-b x}}{b^2}","\frac{\text{Ei}(-b x)}{b^2}-\frac{e^{-b x}}{b^2}",1,"(-E^(-(b*x)) + ExpIntegralEi[-(b*x)])/b^2","A",1
28,1,14,14,0.0008693,"\int E_{-1}(b x) \, dx","Integrate[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
29,1,19,19,0.0029021,"\int \frac{E_{-1}(b x)}{x} \, dx","Integrate[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
30,1,25,25,0.001241,"\int \frac{E_{-1}(b x)}{x^2} \, dx","Integrate[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
31,1,25,25,0.0020676,"\int \frac{E_{-1}(b x)}{x^3} \, dx","Integrate[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
32,1,25,25,0.0014183,"\int x^4 E_{-2}(b x) \, dx","Integrate[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
33,1,20,20,0.0016151,"\int x^3 E_{-2}(b x) \, dx","Integrate[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
34,1,33,35,0.0654686,"\int x^2 E_{-2}(b x) \, dx","Integrate[x^2*ExpIntegralE[-2, b*x],x]","-\frac{b^2 x^2 E_{-1}(b x)-2 \text{Ei}(-b x)+2 e^{-b x}}{b^3}","\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/E^(b*x) + b^2*x^2*ExpIntegralE[-1, b*x] - 2*ExpIntegralEi[-(b*x)])/b^3)","A",1
35,1,20,20,0.0010148,"\int x E_{-2}(b x) \, dx","Integrate[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
36,1,14,14,0.0011229,"\int E_{-1}(b x) \, dx","Integrate[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
37,1,19,19,0.0018133,"\int \frac{E_{-2}(b x)}{x} \, dx","Integrate[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
38,1,25,25,0.0013983,"\int \frac{E_{-2}(b x)}{x^2} \, dx","Integrate[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
39,1,25,25,0.001352,"\int \frac{E_{-2}(b x)}{x^3} \, dx","Integrate[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
40,1,25,25,0.0013605,"\int x^5 E_{-3}(b x) \, dx","Integrate[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
41,1,20,20,0.0012854,"\int x^4 E_{-3}(b x) \, dx","Integrate[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
42,1,46,48,0.109074,"\int x^3 E_{-3}(b x) \, dx","Integrate[x^3*ExpIntegralE[-3, b*x],x]","-\frac{b^3 x^3 E_{-2}(b x)+3 b^2 x^2 E_{-1}(b x)-6 \text{Ei}(-b x)+6 e^{-b x}}{b^4}","\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/E^(b*x) + b^3*x^3*ExpIntegralE[-2, b*x] + 3*b^2*x^2*ExpIntegralE[-1, b*x] - 6*ExpIntegralEi[-(b*x)])/b^4)","A",1
43,1,20,20,0.0015128,"\int x^2 E_{-3}(b x) \, dx","Integrate[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
44,1,25,25,0.0011377,"\int x E_{-3}(b x) \, dx","Integrate[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
45,1,14,14,0.0017051,"\int E_{-1}(b x) \, dx","Integrate[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
46,1,19,19,0.001325,"\int \frac{E_{-3}(b x)}{x} \, dx","Integrate[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
47,1,25,25,0.0014227,"\int \frac{E_{-3}(b x)}{x^2} \, dx","Integrate[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
48,1,25,25,0.0033864,"\int \frac{E_{-3}(b x)}{x^3} \, dx","Integrate[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
49,1,46,48,0.0068341,"\int x^3 E_{-3}(b x) \, dx","Integrate[x^3*ExpIntegralE[-3, b*x],x]","-\frac{b^3 x^3 E_{-2}(b x)+3 b^2 x^2 E_{-1}(b x)-6 \text{Ei}(-b x)+6 e^{-b x}}{b^4}","\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/E^(b*x) + b^3*x^3*ExpIntegralE[-2, b*x] + 3*b^2*x^2*ExpIntegralE[-1, b*x] - 6*ExpIntegralEi[-(b*x)])/b^4)","A",1
50,1,33,35,0.0097521,"\int x^2 E_{-2}(b x) \, dx","Integrate[x^2*ExpIntegralE[-2, b*x],x]","-\frac{b^2 x^2 E_{-1}(b x)-2 \text{Ei}(-b x)+2 e^{-b x}}{b^3}","\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/E^(b*x) + b^2*x^2*ExpIntegralE[-1, b*x] - 2*ExpIntegralEi[-(b*x)])/b^3)","A",1
51,1,18,21,0.0071984,"\int x E_{-1}(b x) \, dx","Integrate[x*ExpIntegralE[-1, b*x],x]","\frac{\text{Ei}(-b x)-e^{-b x}}{b^2}","\frac{\text{Ei}(-b x)}{b^2}-\frac{e^{-b x}}{b^2}",1,"(-E^(-(b*x)) + ExpIntegralEi[-(b*x)])/b^2","A",1
52,1,9,9,0.0069233,"\int \frac{e^{-b x}}{b x} \, dx","Integrate[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",1
53,1,32,32,0.0043866,"\int \frac{E_1(b x)}{x} \, dx","Integrate[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
54,1,46,46,0.0043786,"\int \frac{E_2(b x)}{x^2} \, dx","Integrate[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",1
55,1,59,70,0.0187894,"\int \frac{E_3(b x)}{x^3} \, dx","Integrate[ExpIntegralE[3, b*x]/x^3,x]","\frac{b x \left(b x \left(b x \, _3F_3(1,1,1;2,2,2;-b x)-\frac{1}{2} \log ^2(b x)-\gamma  \log (x)\right)+E_2(b x)\right)-E_3(b x)}{2 x^2}","\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,"(-ExpIntegralE[3, b*x] + b*x*(ExpIntegralE[2, b*x] + b*x*(b*x*HypergeometricPFQ[{1, 1, 1}, {2, 2, 2}, -(b*x)] - EulerGamma*Log[x] - Log[b*x]^2/2)))/(2*x^2)","A",1
56,1,58,62,0.0199557,"\int (d x)^{3/2} E_{-\frac{3}{2}}(b x) \, dx","Integrate[(d*x)^(3/2)*ExpIntegralE[-3/2, b*x],x]","\frac{(d x)^{3/2} \left(\frac{75 \sqrt{\pi } \sqrt{b x} \log (x)}{b^3}-16 x^3 \, _2F_2\left(\frac{5}{2},\frac{5}{2};\frac{7}{2},\frac{7}{2};-b x\right)\right)}{100 x^2}","\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,"((d*x)^(3/2)*(-16*x^3*HypergeometricPFQ[{5/2, 5/2}, {7/2, 7/2}, -(b*x)] + (75*Sqrt[Pi]*Sqrt[b*x]*Log[x])/b^3))/(100*x^2)","A",1
57,1,59,62,0.0196791,"\int \sqrt{d x} E_{-\frac{1}{2}}(b x) \, dx","Integrate[Sqrt[d*x]*ExpIntegralE[-1/2, b*x],x]","\frac{d \left(9 \sqrt{\pi } \sqrt{b x} \log (x)-8 b^2 x^2 \, _2F_2\left(\frac{3}{2},\frac{3}{2};\frac{5}{2},\frac{5}{2};-b x\right)\right)}{18 b^2 \sqrt{d 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}",1,"(d*(-8*b^2*x^2*HypergeometricPFQ[{3/2, 3/2}, {5/2, 5/2}, -(b*x)] + 9*Sqrt[Pi]*Sqrt[b*x]*Log[x]))/(18*b^2*Sqrt[d*x])","A",1
58,1,50,57,0.0125154,"\int \frac{E_{\frac{1}{2}}(b x)}{\sqrt{d x}} \, dx","Integrate[ExpIntegralE[1/2, b*x]/Sqrt[d*x],x]","\frac{\sqrt{\pi } \sqrt{b x} \log (x)-4 b x \, _2F_2\left(\frac{1}{2},\frac{1}{2};\frac{3}{2},\frac{3}{2};-b x\right)}{b \sqrt{d 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}",1,"(-4*b*x*HypergeometricPFQ[{1/2, 1/2}, {3/2, 3/2}, -(b*x)] + Sqrt[Pi]*Sqrt[b*x]*Log[x])/(b*Sqrt[d*x])","A",1
59,1,47,58,0.010992,"\int \frac{E_{\frac{3}{2}}(b x)}{(d x)^{3/2}} \, dx","Integrate[ExpIntegralE[3/2, b*x]/(d*x)^(3/2),x]","-\frac{2 x \left(2 \, _2F_2\left(-\frac{1}{2},-\frac{1}{2};\frac{1}{2},\frac{1}{2};-b x\right)+\sqrt{\pi } \sqrt{b x} \log (x)\right)}{(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,"(-2*x*(2*HypergeometricPFQ[{-1/2, -1/2}, {1/2, 1/2}, -(b*x)] + Sqrt[Pi]*Sqrt[b*x]*Log[x]))/(d*x)^(3/2)","A",1
60,1,48,62,0.0327124,"\int \frac{E_{\frac{5}{2}}(b x)}{(d x)^{5/2}} \, dx","Integrate[ExpIntegralE[5/2, b*x]/(d*x)^(5/2),x]","-\frac{4 x \left(\, _2F_2\left(-\frac{3}{2},-\frac{3}{2};-\frac{1}{2},-\frac{1}{2};-b x\right)-3 \sqrt{\pi } (b x)^{3/2} \log (x)\right)}{9 (d x)^{5/2}}","\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*x*(HypergeometricPFQ[{-3/2, -3/2}, {-1/2, -1/2}, -(b*x)] - 3*Sqrt[Pi]*(b*x)^(3/2)*Log[x]))/(9*(d*x)^(5/2))","A",1
61,1,22,32,0.0066022,"\int x^m E_n(x) \, dx","Integrate[x^m*ExpIntegralE[n, x],x]","\frac{x^{m+1} (E_n(x)-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] + ExpIntegralE[n, x]))/(m + n)","A",1
62,1,26,36,0.0048856,"\int x^m E_n(b x) \, dx","Integrate[x^m*ExpIntegralE[n, b*x],x]","\frac{x^{m+1} (E_n(b x)-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] + ExpIntegralE[n, b*x]))/(m + n)","A",1
63,1,24,42,0.0054454,"\int (d x)^m E_n(x) \, dx","Integrate[(d*x)^m*ExpIntegralE[n, x],x]","-\frac{x (d x)^m (E_{-m}(x)-E_n(x))}{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,"-((x*(d*x)^m*(ExpIntegralE[-m, x] - ExpIntegralE[n, x]))/(m + n))","A",1
64,1,28,46,0.0043136,"\int (d x)^m E_n(b x) \, dx","Integrate[(d*x)^m*ExpIntegralE[n, b*x],x]","-\frac{x (d x)^m (E_{-m}(b x)-E_n(b x))}{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,"-((x*(d*x)^m*(ExpIntegralE[-m, b*x] - ExpIntegralE[n, b*x]))/(m + n))","A",1
65,1,52,52,0.0203204,"\int x^{-n} E_n(x) \, dx","Integrate[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
66,1,66,66,0.0238046,"\int x^{-n} E_n(b x) \, dx","Integrate[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
67,1,60,67,0.0157251,"\int (d x)^{-n} E_n(x) \, dx","Integrate[ExpIntegralE[n, x]/(d*x)^n,x]","\frac{(d x)^{-n} \left((n-1)^2 x^n \text{Gamma}(1-n) \log (x)-x \, _2F_2(1-n,1-n;2-n,2-n;-x)\right)}{(n-1)^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,"(-(x*HypergeometricPFQ[{1 - n, 1 - n}, {2 - n, 2 - n}, -x]) + (-1 + n)^2*x^n*Gamma[1 - n]*Log[x])/((-1 + n)^2*(d*x)^n)","A",1
68,1,69,73,0.0269043,"\int (d x)^{-n} E_n(b x) \, dx","Integrate[ExpIntegralE[n, b*x]/(d*x)^n,x]","\frac{\text{Gamma}(1-n) \log (x) (b x)^n (d x)^{-n}}{b}-\frac{x (d x)^{-n} \, _2F_2(1-n,1-n;2-n,2-n;-b x)}{(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,"-((x*HypergeometricPFQ[{1 - n, 1 - n}, {2 - n, 2 - n}, -(b*x)])/((1 - n)^2*(d*x)^n)) + ((b*x)^n*Gamma[1 - n]*Log[x])/(b*(d*x)^n)","A",1
69,1,22,30,0.009397,"\int x^2 E_n(b x) \, dx","Integrate[x^2*ExpIntegralE[n, b*x],x]","\frac{x^3 (E_n(b x)-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] + ExpIntegralE[n, b*x]))/(2 + n)","A",1
70,1,22,30,0.0031689,"\int x E_n(b x) \, dx","Integrate[x*ExpIntegralE[n, b*x],x]","\frac{x^2 (E_n(b x)-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] + ExpIntegralE[n, b*x]))/(1 + n)","A",1
71,1,12,12,0.0013431,"\int E_n(b x) \, dx","Integrate[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
72,1,19,28,0.0030803,"\int \frac{E_n(b x)}{x} \, dx","Integrate[ExpIntegralE[n, b*x]/x,x]","\frac{E_n(b x)-E_1(b x)}{n-1}","\frac{E_1(b x)}{1-n}-\frac{E_n(b x)}{1-n}",1,"(-ExpIntegralE[1, b*x] + ExpIntegralE[n, b*x])/(-1 + n)","A",1
73,1,22,34,0.0027765,"\int \frac{E_n(b x)}{x^2} \, dx","Integrate[ExpIntegralE[n, b*x]/x^2,x]","\frac{E_n(b x)-E_2(b x)}{(n-2) x}","\frac{E_2(b x)}{(2-n) x}-\frac{E_n(b x)}{(2-n) x}",1,"(-ExpIntegralE[2, b*x] + ExpIntegralE[n, b*x])/((-2 + n)*x)","A",1
74,1,22,34,0.002881,"\int \frac{E_n(b x)}{x^3} \, dx","Integrate[ExpIntegralE[n, b*x]/x^3,x]","\frac{E_n(b x)-E_3(b x)}{(n-3) 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] + ExpIntegralE[n, b*x])/((-3 + n)*x^2)","A",1
75,1,74,75,0.1351752,"\int (c+d x)^3 E_1(a+b x) \, dx","Integrate[(c + d*x)^3*ExpIntegralE[1, a + b*x],x]","-\frac{b^3 (c+d x)^3 E_2(a+b x)+3 b^2 d (c+d x)^2 E_3(a+b x)+6 b d^2 (c+d x) E_4(a+b x)+6 d^3 E_5(a+b x)}{b^4}","-\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,"-((b^3*(c + d*x)^3*ExpIntegralE[2, a + b*x] + 3*b^2*d*(c + d*x)^2*ExpIntegralE[3, a + b*x] + 6*b*d^2*(c + d*x)*ExpIntegralE[4, a + b*x] + 6*d^3*ExpIntegralE[5, a + b*x])/b^4)","A",1
76,1,51,53,0.1017389,"\int (c+d x)^2 E_1(a+b x) \, dx","Integrate[(c + d*x)^2*ExpIntegralE[1, a + b*x],x]","-\frac{b^2 (c+d x)^2 E_2(a+b x)+2 d (b (c+d x) E_3(a+b x)+d E_4(a+b x))}{b^3}","-\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,"-((b^2*(c + d*x)^2*ExpIntegralE[2, a + b*x] + 2*d*(b*(c + d*x)*ExpIntegralE[3, a + b*x] + d*ExpIntegralE[4, a + b*x]))/b^3)","A",1
77,1,29,31,0.0746738,"\int (c+d x) E_1(a+b x) \, dx","Integrate[(c + d*x)*ExpIntegralE[1, a + b*x],x]","-\frac{b (c+d x) E_2(a+b x)+d E_3(a+b x)}{b^2}","-\frac{d E_3(a+b x)}{b^2}-\frac{(c+d x) E_2(a+b x)}{b}",1,"-((b*(c + d*x)*ExpIntegralE[2, a + b*x] + d*ExpIntegralE[3, a + b*x])/b^2)","A",1
78,1,12,12,0.0051506,"\int E_1(a+b x) \, dx","Integrate[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
79,0,0,18,0.0278583,"\int \frac{E_1(a+b x)}{c+d x} \, dx","Integrate[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,"Integrate[ExpIntegralE[1, a + b*x]/(c + d*x), x]","F",-1
80,0,0,84,0.0276844,"\int \frac{E_1(a+b x)}{(c+d x)^2} \, dx","Integrate[ExpIntegralE[1, a + b*x]/(c + d*x)^2,x]","\int \frac{E_1(a+b x)}{(c+d x)^2} \, dx","-\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,"Integrate[ExpIntegralE[1, a + b*x]/(c + d*x)^2, x]","A",-1
81,0,0,174,0.0367394,"\int \frac{E_1(a+b x)}{(c+d x)^3} \, dx","Integrate[ExpIntegralE[1, a + b*x]/(c + d*x)^3,x]","\int \frac{E_1(a+b x)}{(c+d x)^3} \, dx","-\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,"Integrate[ExpIntegralE[1, a + b*x]/(c + d*x)^3, x]","A",-1
82,0,0,292,0.0372695,"\int \frac{E_1(a+b x)}{(c+d x)^4} \, dx","Integrate[ExpIntegralE[1, a + b*x]/(c + d*x)^4,x]","\int \frac{E_1(a+b x)}{(c+d x)^4} \, dx","\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,"Integrate[ExpIntegralE[1, a + b*x]/(c + d*x)^4, x]","A",-1
83,1,74,75,0.1119743,"\int (c+d x)^3 E_2(a+b x) \, dx","Integrate[(c + d*x)^3*ExpIntegralE[2, a + b*x],x]","-\frac{b^3 (c+d x)^3 E_3(a+b x)+3 b^2 d (c+d x)^2 E_4(a+b x)+6 b d^2 (c+d x) E_5(a+b x)+6 d^3 E_6(a+b x)}{b^4}","-\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,"-((b^3*(c + d*x)^3*ExpIntegralE[3, a + b*x] + 3*b^2*d*(c + d*x)^2*ExpIntegralE[4, a + b*x] + 6*b*d^2*(c + d*x)*ExpIntegralE[5, a + b*x] + 6*d^3*ExpIntegralE[6, a + b*x])/b^4)","A",1
84,1,51,53,0.0948196,"\int (c+d x)^2 E_2(a+b x) \, dx","Integrate[(c + d*x)^2*ExpIntegralE[2, a + b*x],x]","-\frac{b^2 (c+d x)^2 E_3(a+b x)+2 d (b (c+d x) E_4(a+b x)+d E_5(a+b x))}{b^3}","-\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,"-((b^2*(c + d*x)^2*ExpIntegralE[3, a + b*x] + 2*d*(b*(c + d*x)*ExpIntegralE[4, a + b*x] + d*ExpIntegralE[5, a + b*x]))/b^3)","A",1
85,1,29,31,0.0673526,"\int (c+d x) E_2(a+b x) \, dx","Integrate[(c + d*x)*ExpIntegralE[2, a + b*x],x]","-\frac{b (c+d x) E_3(a+b x)+d E_4(a+b x)}{b^2}","-\frac{d E_4(a+b x)}{b^2}-\frac{(c+d x) E_3(a+b x)}{b}",1,"-((b*(c + d*x)*ExpIntegralE[3, a + b*x] + d*ExpIntegralE[4, a + b*x])/b^2)","A",1
86,1,12,12,0.003163,"\int E_2(a+b x) \, dx","Integrate[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
87,0,0,18,0.0263281,"\int \frac{E_2(a+b x)}{c+d x} \, dx","Integrate[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,"Integrate[ExpIntegralE[2, a + b*x]/(c + d*x), x]","F",-1
88,0,0,44,0.0274243,"\int \frac{E_2(a+b x)}{(c+d x)^2} \, dx","Integrate[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,"Integrate[ExpIntegralE[2, a + b*x]/(c + d*x)^2, x]","F",-1
89,0,0,117,0.0312883,"\int \frac{E_2(a+b x)}{(c+d x)^3} \, dx","Integrate[ExpIntegralE[2, a + b*x]/(c + d*x)^3,x]","\int \frac{E_2(a+b x)}{(c+d x)^3} \, dx","\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,"Integrate[ExpIntegralE[2, a + b*x]/(c + d*x)^3, x]","A",-1
90,0,0,198,0.0344915,"\int \frac{E_2(a+b x)}{(c+d x)^4} \, dx","Integrate[ExpIntegralE[2, a + b*x]/(c + d*x)^4,x]","\int \frac{E_2(a+b x)}{(c+d x)^4} \, dx","\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,"Integrate[ExpIntegralE[2, a + b*x]/(c + d*x)^4, x]","A",-1
91,1,74,75,0.1261347,"\int (c+d x)^3 E_3(a+b x) \, dx","Integrate[(c + d*x)^3*ExpIntegralE[3, a + b*x],x]","-\frac{b^3 (c+d x)^3 E_4(a+b x)+3 b^2 d (c+d x)^2 E_5(a+b x)+6 b d^2 (c+d x) E_6(a+b x)+6 d^3 E_7(a+b x)}{b^4}","-\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,"-((b^3*(c + d*x)^3*ExpIntegralE[4, a + b*x] + 3*b^2*d*(c + d*x)^2*ExpIntegralE[5, a + b*x] + 6*b*d^2*(c + d*x)*ExpIntegralE[6, a + b*x] + 6*d^3*ExpIntegralE[7, a + b*x])/b^4)","A",1
92,1,51,53,0.0868147,"\int (c+d x)^2 E_3(a+b x) \, dx","Integrate[(c + d*x)^2*ExpIntegralE[3, a + b*x],x]","-\frac{b^2 (c+d x)^2 E_4(a+b x)+2 d (b (c+d x) E_5(a+b x)+d E_6(a+b x))}{b^3}","-\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,"-((b^2*(c + d*x)^2*ExpIntegralE[4, a + b*x] + 2*d*(b*(c + d*x)*ExpIntegralE[5, a + b*x] + d*ExpIntegralE[6, a + b*x]))/b^3)","A",1
93,1,29,31,0.0717965,"\int (c+d x) E_3(a+b x) \, dx","Integrate[(c + d*x)*ExpIntegralE[3, a + b*x],x]","-\frac{b (c+d x) E_4(a+b x)+d E_5(a+b x)}{b^2}","-\frac{d E_5(a+b x)}{b^2}-\frac{(c+d x) E_4(a+b x)}{b}",1,"-((b*(c + d*x)*ExpIntegralE[4, a + b*x] + d*ExpIntegralE[5, a + b*x])/b^2)","A",1
94,1,12,12,0.0063639,"\int E_3(a+b x) \, dx","Integrate[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
95,0,0,18,0.035915,"\int \frac{E_3(a+b x)}{c+d x} \, dx","Integrate[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,"Integrate[ExpIntegralE[3, a + b*x]/(c + d*x), x]","F",-1
96,0,0,44,0.0318228,"\int \frac{E_3(a+b x)}{(c+d x)^2} \, dx","Integrate[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,"Integrate[ExpIntegralE[3, a + b*x]/(c + d*x)^2, x]","F",-1
97,0,0,72,0.0305543,"\int \frac{E_3(a+b x)}{(c+d x)^3} \, dx","Integrate[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,"Integrate[ExpIntegralE[3, a + b*x]/(c + d*x)^3, x]","F",-1
98,0,0,141,0.0922547,"\int \frac{E_3(a+b x)}{(c+d x)^4} \, dx","Integrate[ExpIntegralE[3, a + b*x]/(c + d*x)^4,x]","\int \frac{E_3(a+b x)}{(c+d x)^4} \, dx","-\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,"Integrate[ExpIntegralE[3, a + b*x]/(c + d*x)^4, x]","A",-1
99,1,160,206,0.5854307,"\int (c+d x)^4 E_{-1}(a+b x) \, dx","Integrate[(c + d*x)^4*ExpIntegralE[-1, a + b*x],x]","\frac{e^{-a-b x} \left(-4 b d^3 \left(-3 a^2 c+3 a c+a d x+2 d x\right)-4 a \left(a^2-a+2\right) d^4-4 b^2 d^2 \left(3 a c^2+d x (3 c+2 d x)\right)-4 d e^{a+b x} (a+b x) (a d-b c)^3 \text{Ei}(-a-b x)-b^4 (c+d x)^4-4 b^3 d^2 x \left(3 c^2+3 c d x+d^2 x^2\right)\right)}{b^5 (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,"(E^(-a - b*x)*(-4*a*(2 - a + a^2)*d^4 - b^4*(c + d*x)^4 - 4*b*d^3*(3*a*c - 3*a^2*c + 2*d*x + a*d*x) - 4*b^3*d^2*x*(3*c^2 + 3*c*d*x + d^2*x^2) - 4*b^2*d^2*(3*a*c^2 + d*x*(3*c + 2*d*x)) - 4*d*(-(b*c) + a*d)^3*E^(a + b*x)*(a + b*x)*ExpIntegralEi[-a - b*x]))/(b^5*(a + b*x))","A",1
100,1,107,122,0.3124638,"\int (c+d x)^3 E_{-1}(a+b x) \, dx","Integrate[(c + d*x)^3*ExpIntegralE[-1, a + b*x],x]","\frac{e^{-a-b x} \left(-3 b d^2 (2 a c+d x)+3 d e^{a+b x} (a+b x) (b c-a d)^2 \text{Ei}(-a-b x)+3 (a-1) a d^3-b^3 (c+d x)^3-3 b^2 d^2 x (2 c+d x)\right)}{b^4 (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,"(E^(-a - b*x)*(3*(-1 + a)*a*d^3 - b^3*(c + d*x)^3 - 3*b^2*d^2*x*(2*c + d*x) - 3*b*d^2*(2*a*c + d*x) + 3*d*(b*c - a*d)^2*E^(a + b*x)*(a + b*x)*ExpIntegralEi[-a - b*x]))/(b^4*(a + b*x))","A",1
101,1,79,71,0.1967208,"\int (c+d x)^2 E_{-1}(a+b x) \, dx","Integrate[(c + d*x)^2*ExpIntegralE[-1, a + b*x],x]","\frac{e^{-a-b x} \left(-2 d e^{a+b x} (a+b x) (a d-b c) \text{Ei}(-a-b x)-2 a d^2-b^2 (c+d x)^2-2 b d^2 x\right)}{b^3 (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,"(E^(-a - b*x)*(-2*a*d^2 - 2*b*d^2*x - b^2*(c + d*x)^2 - 2*d*(-(b*c) + a*d)*E^(a + b*x)*(a + b*x)*ExpIntegralEi[-a - b*x]))/(b^3*(a + b*x))","A",1
102,1,41,42,0.1299004,"\int (c+d x) E_{-1}(a+b x) \, dx","Integrate[(c + d*x)*ExpIntegralE[-1, a + b*x],x]","\frac{d \text{Ei}(-a-b x)-\frac{b e^{-a-b x} (c+d x)}{a+b x}}{b^2}","\frac{d \text{Ei}(-a-b x)}{b^2}-\frac{e^{-a-b x} (c+d x)}{b (a+b x)}",1,"(-((b*E^(-a - b*x)*(c + d*x))/(a + b*x)) + d*ExpIntegralEi[-a - b*x])/b^2","A",1
103,1,22,22,0.0030437,"\int E_{-1}(a+b x) \, dx","Integrate[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
104,0,0,157,0.0265131,"\int \frac{E_{-1}(a+b x)}{c+d x} \, dx","Integrate[ExpIntegralE[-1, a + b*x]/(c + d*x),x]","\int \frac{E_{-1}(a+b x)}{c+d x} \, dx","-\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,"Integrate[ExpIntegralE[-1, a + b*x]/(c + d*x), x]","A",-1
105,0,0,258,0.0304013,"\int \frac{E_{-1}(a+b x)}{(c+d x)^2} \, dx","Integrate[ExpIntegralE[-1, a + b*x]/(c + d*x)^2,x]","\int \frac{E_{-1}(a+b x)}{(c+d x)^2} \, dx","-\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,"Integrate[ExpIntegralE[-1, a + b*x]/(c + d*x)^2, x]","A",-1
106,0,0,416,0.0291403,"\int \frac{E_{-1}(a+b x)}{(c+d x)^3} \, dx","Integrate[ExpIntegralE[-1, a + b*x]/(c + d*x)^3,x]","\int \frac{E_{-1}(a+b x)}{(c+d x)^3} \, dx","-\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,"Integrate[ExpIntegralE[-1, a + b*x]/(c + d*x)^3, x]","A",-1
107,1,160,144,0.365351,"\int (c+d x)^4 E_{-2}(a+b x) \, dx","Integrate[(c + d*x)^4*ExpIntegralE[-2, a + b*x],x]","\frac{-b^4 (c+d x)^4 E_{-1}(a+b x)-\frac{4 b^3 d e^{-a-b x} (c+d x)^3}{a+b x}+12 b^2 d^2 (c+d x)^2 \text{Ei}(-a-b x)-24 b d^3 (c+d x) \left((a+b x) \text{Ei}(-a-b x)+e^{-a-b x}\right)+12 d^4 e^{-a-b x} \left(e^{a+b x} (a+b x)^2 \text{Ei}(-a-b x)+a+b x-1\right)}{b^5}","-\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,"((-4*b^3*d*E^(-a - b*x)*(c + d*x)^3)/(a + b*x) - b^4*(c + d*x)^4*ExpIntegralE[-1, a + b*x] + 12*b^2*d^2*(c + d*x)^2*ExpIntegralEi[-a - b*x] - 24*b*d^3*(c + d*x)*(E^(-a - b*x) + (a + b*x)*ExpIntegralEi[-a - b*x]) + 12*d^4*E^(-a - b*x)*(-1 + a + b*x + E^(a + b*x)*(a + b*x)^2*ExpIntegralEi[-a - b*x]))/b^5","A",1
108,1,105,93,0.3096535,"\int (c+d x)^3 E_{-2}(a+b x) \, dx","Integrate[(c + d*x)^3*ExpIntegralE[-2, a + b*x],x]","-\frac{b^3 (c+d x)^3 E_{-1}(a+b x)+\frac{3 b^2 d e^{-a-b x} (c+d x)^2}{a+b x}-6 b d^2 (c+d x) \text{Ei}(-a-b x)+6 d^3 \left((a+b x) \text{Ei}(-a-b x)+e^{-a-b x}\right)}{b^4}","\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,"-(((3*b^2*d*E^(-a - b*x)*(c + d*x)^2)/(a + b*x) + b^3*(c + d*x)^3*ExpIntegralE[-1, a + b*x] - 6*b*d^2*(c + d*x)*ExpIntegralEi[-a - b*x] + 6*d^3*(E^(-a - b*x) + (a + b*x)*ExpIntegralEi[-a - b*x]))/b^4)","A",1
109,1,64,65,0.2495337,"\int (c+d x)^2 E_{-2}(a+b x) \, dx","Integrate[(c + d*x)^2*ExpIntegralE[-2, a + b*x],x]","\frac{2 d \left(d \text{Ei}(-a-b x)-\frac{b e^{-a-b x} (c+d x)}{a+b x}\right)-b^2 (c+d x)^2 E_{-1}(a+b x)}{b^3}","\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,"(-(b^2*(c + d*x)^2*ExpIntegralE[-1, a + b*x]) + 2*d*(-((b*E^(-a - b*x)*(c + d*x))/(a + b*x)) + d*ExpIntegralEi[-a - b*x]))/b^3","A",1
110,1,39,41,0.0937602,"\int (c+d x) E_{-2}(a+b x) \, dx","Integrate[(c + d*x)*ExpIntegralE[-2, a + b*x],x]","-\frac{b (c+d x) E_{-1}(a+b x)+\frac{d e^{-a-b x}}{a+b x}}{b^2}","-\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))/(a + b*x) + b*(c + d*x)*ExpIntegralE[-1, a + b*x])/b^2)","A",1
111,1,12,12,0.0034108,"\int E_{-2}(a+b x) \, dx","Integrate[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
112,0,0,287,0.0310755,"\int \frac{E_{-2}(a+b x)}{c+d x} \, dx","Integrate[ExpIntegralE[-2, a + b*x]/(c + d*x),x]","\int \frac{E_{-2}(a+b x)}{c+d x} \, dx","\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,"Integrate[ExpIntegralE[-2, a + b*x]/(c + d*x), x]","A",-1
113,0,0,422,0.0310783,"\int \frac{E_{-2}(a+b x)}{(c+d x)^2} \, dx","Integrate[ExpIntegralE[-2, a + b*x]/(c + d*x)^2,x]","\int \frac{E_{-2}(a+b x)}{(c+d x)^2} \, dx","\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,"Integrate[ExpIntegralE[-2, a + b*x]/(c + d*x)^2, x]","A",-1
114,0,0,609,0.0297014,"\int \frac{E_{-2}(a+b x)}{(c+d x)^3} \, dx","Integrate[ExpIntegralE[-2, a + b*x]/(c + d*x)^3,x]","\int \frac{E_{-2}(a+b x)}{(c+d x)^3} \, dx","\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,"Integrate[ExpIntegralE[-2, a + b*x]/(c + d*x)^3, x]","A",-1
115,1,127,115,0.3150484,"\int (c+d x)^4 E_{-3}(a+b x) \, dx","Integrate[(c + d*x)^4*ExpIntegralE[-3, a + b*x],x]","-\frac{b^4 (c+d x)^4 E_{-2}(a+b x)+4 b^3 d (c+d x)^3 E_{-1}(a+b x)+\frac{12 b^2 d^2 e^{-a-b x} (c+d x)^2}{a+b x}-24 b d^3 (c+d x) \text{Ei}(-a-b x)+24 d^4 \left((a+b x) \text{Ei}(-a-b x)+e^{-a-b x}\right)}{b^5}","\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,"-(((12*b^2*d^2*E^(-a - b*x)*(c + d*x)^2)/(a + b*x) + b^4*(c + d*x)^4*ExpIntegralE[-2, a + b*x] + 4*b^3*d*(c + d*x)^3*ExpIntegralE[-1, a + b*x] - 24*b*d^3*(c + d*x)*ExpIntegralEi[-a - b*x] + 24*d^4*(E^(-a - b*x) + (a + b*x)*ExpIntegralEi[-a - b*x]))/b^5)","A",1
116,1,86,87,0.1696882,"\int (c+d x)^3 E_{-3}(a+b x) \, dx","Integrate[(c + d*x)^3*ExpIntegralE[-3, a + b*x],x]","-\frac{b^3 (c+d x)^3 E_{-2}(a+b x)+3 b^2 d (c+d x)^2 E_{-1}(a+b x)+\frac{6 b d^2 e^{-a-b x} (c+d x)}{a+b x}-6 d^3 \text{Ei}(-a-b x)}{b^4}","\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*b*d^2*E^(-a - b*x)*(c + d*x))/(a + b*x) + b^3*(c + d*x)^3*ExpIntegralE[-2, a + b*x] + 3*b^2*d*(c + d*x)^2*ExpIntegralE[-1, a + b*x] - 6*d^3*ExpIntegralEi[-a - b*x])/b^4)","A",1
117,1,61,63,0.2488479,"\int (c+d x)^2 E_{-3}(a+b x) \, dx","Integrate[(c + d*x)^2*ExpIntegralE[-3, a + b*x],x]","-\frac{b^2 (c+d x)^2 E_{-2}(a+b x)+2 d \left(b (c+d x) E_{-1}(a+b x)+\frac{d e^{-a-b x}}{a+b x}\right)}{b^3}","-\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,"-((b^2*(c + d*x)^2*ExpIntegralE[-2, a + b*x] + 2*d*((d*E^(-a - b*x))/(a + b*x) + b*(c + d*x)*ExpIntegralE[-1, a + b*x]))/b^3)","A",1
118,1,29,31,0.0752035,"\int (c+d x) E_{-3}(a+b x) \, dx","Integrate[(c + d*x)*ExpIntegralE[-3, a + b*x],x]","-\frac{b (c+d x) E_{-2}(a+b x)+d E_{-1}(a+b x)}{b^2}","-\frac{d E_{-1}(a+b x)}{b^2}-\frac{(c+d x) E_{-2}(a+b x)}{b}",1,"-((b*(c + d*x)*ExpIntegralE[-2, a + b*x] + d*ExpIntegralE[-1, a + b*x])/b^2)","A",1
119,1,12,12,0.0045648,"\int E_{-3}(a+b x) \, dx","Integrate[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
120,0,0,453,0.0235695,"\int \frac{E_{-3}(a+b x)}{c+d x} \, dx","Integrate[ExpIntegralE[-3, a + b*x]/(c + d*x),x]","\int \frac{E_{-3}(a+b x)}{c+d x} \, dx","-\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,"Integrate[ExpIntegralE[-3, a + b*x]/(c + d*x), x]","A",-1
121,0,0,621,0.0319419,"\int \frac{E_{-3}(a+b x)}{(c+d x)^2} \, dx","Integrate[ExpIntegralE[-3, a + b*x]/(c + d*x)^2,x]","\int \frac{E_{-3}(a+b x)}{(c+d x)^2} \, dx","-\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,"Integrate[ExpIntegralE[-3, a + b*x]/(c + d*x)^2, x]","A",-1
122,0,0,147,0.0310618,"\int (c+d x)^m E_3(a+b x) \, dx","Integrate[(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,"Integrate[(c + d*x)^m*ExpIntegralE[3, a + b*x], x]","F",-1
123,0,0,104,0.0313747,"\int (c+d x)^m E_2(a+b x) \, dx","Integrate[(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,"Integrate[(c + d*x)^m*ExpIntegralE[2, a + b*x], x]","F",-1
124,0,0,66,0.0328997,"\int (c+d x)^m E_1(a+b x) \, dx","Integrate[(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,"Integrate[(c + d*x)^m*ExpIntegralE[1, a + b*x], x]","F",-1
125,0,0,66,0.0248405,"\int (c+d x)^m E_{-1}(a+b x) \, dx","Integrate[(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,"Integrate[(c + d*x)^m*ExpIntegralE[-1, a + b*x], x]","F",-1
126,0,0,97,0.0295473,"\int (c+d x)^m E_{-2}(a+b x) \, dx","Integrate[(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,"Integrate[(c + d*x)^m*ExpIntegralE[-2, a + b*x], x]","F",-1
127,0,0,130,0.0332263,"\int (c+d x)^m E_{-3}(a+b x) \, dx","Integrate[(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,"Integrate[(c + d*x)^m*ExpIntegralE[-3, a + b*x], x]","F",-1
128,0,0,18,0.0338594,"\int (c+d x)^m E_n(a+b x) \, dx","Integrate[(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,"Integrate[(c + d*x)^m*ExpIntegralE[n, a + b*x], x]","F",-1
129,1,82,83,0.1209728,"\int (c+d x)^3 E_n(a+b x) \, dx","Integrate[(c + d*x)^3*ExpIntegralE[n, a + b*x],x]","-\frac{b^3 (c+d x)^3 E_{n+1}(a+b x)+3 b^2 d (c+d x)^2 E_{n+2}(a+b x)+6 b d^2 (c+d x) E_{n+3}(a+b x)+6 d^3 E_{n+4}(a+b x)}{b^4}","-\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,"-((b^3*(c + d*x)^3*ExpIntegralE[1 + n, a + b*x] + 3*b^2*d*(c + d*x)^2*ExpIntegralE[2 + n, a + b*x] + 6*b*d^2*(c + d*x)*ExpIntegralE[3 + n, a + b*x] + 6*d^3*ExpIntegralE[4 + n, a + b*x])/b^4)","A",1
130,1,57,59,0.0971719,"\int (c+d x)^2 E_n(a+b x) \, dx","Integrate[(c + d*x)^2*ExpIntegralE[n, a + b*x],x]","-\frac{b^2 (c+d x)^2 E_{n+1}(a+b x)+2 d (b (c+d x) E_{n+2}(a+b x)+d E_{n+3}(a+b x))}{b^3}","-\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,"-((b^2*(c + d*x)^2*ExpIntegralE[1 + n, a + b*x] + 2*d*(b*(c + d*x)*ExpIntegralE[2 + n, a + b*x] + d*ExpIntegralE[3 + n, a + b*x]))/b^3)","A",1
131,1,33,35,0.0670116,"\int (c+d x) E_n(a+b x) \, dx","Integrate[(c + d*x)*ExpIntegralE[n, a + b*x],x]","-\frac{b (c+d x) E_{n+1}(a+b x)+d E_{n+2}(a+b x)}{b^2}","-\frac{d E_{n+2}(a+b x)}{b^2}-\frac{(c+d x) E_{n+1}(a+b x)}{b}",1,"-((b*(c + d*x)*ExpIntegralE[1 + n, a + b*x] + d*ExpIntegralE[2 + n, a + b*x])/b^2)","A",1
132,1,14,14,0.0100311,"\int E_n(a+b x) \, dx","Integrate[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
133,0,0,18,0.0316993,"\int \frac{E_n(a+b x)}{c+d x} \, dx","Integrate[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,"Integrate[ExpIntegralE[n, a + b*x]/(c + d*x), x]","F",-1
134,0,0,18,0.0389654,"\int \frac{E_n(a+b x)}{(c+d x)^2} \, dx","Integrate[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,"Integrate[ExpIntegralE[n, a + b*x]/(c + d*x)^2, x]","F",-1
135,1,44,67,0.0326583,"\int x^3 \text{Ei}(b x) \, dx","Integrate[x^3*ExpIntegralEi[b*x],x]","\frac{1}{4} \left(\frac{e^{b x} \left(-b^3 x^3+3 b^2 x^2-6 b x+6\right)}{b^4}+x^4 \text{Ei}(b x)\right)","\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,"((E^(b*x)*(6 - 6*b*x + 3*b^2*x^2 - b^3*x^3))/b^4 + x^4*ExpIntegralEi[b*x])/4","A",1
136,1,36,52,0.0204747,"\int x^2 \text{Ei}(b x) \, dx","Integrate[x^2*ExpIntegralEi[b*x],x]","\frac{1}{3} \left(x^3 \text{Ei}(b x)-\frac{e^{b x} \left(b^2 x^2-2 b x+2\right)}{b^3}\right)","-\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,"(-((E^(b*x)*(2 - 2*b*x + b^2*x^2))/b^3) + x^3*ExpIntegralEi[b*x])/3","A",1
137,1,28,37,0.0161168,"\int x \text{Ei}(b x) \, dx","Integrate[x*ExpIntegralEi[b*x],x]","\frac{1}{2} \left(\frac{e^{b x} (1-b x)}{b^2}+x^2 \text{Ei}(b x)\right)","\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)*(1 - b*x))/b^2 + x^2*ExpIntegralEi[b*x])/2","A",1
138,1,17,17,0.0033201,"\int \text{Ei}(b x) \, dx","Integrate[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
139,1,51,45,0.0295002,"\int \frac{\text{Ei}(b x)}{x} \, dx","Integrate[ExpIntegralEi[b*x]/x,x]","b x \, _3F_3(1,1,1;2,2,2;b x)+\frac{1}{2} \log (x) (2 \text{Gamma}(0,-b x)+2 \text{Ei}(b x)+2 \log (-b x)-\log (x)+2 \gamma )","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] + (Log[x]*(2*EulerGamma + 2*ExpIntegralEi[b*x] + 2*Gamma[0, -(b*x)] - Log[x] + 2*Log[-(b*x)]))/2","A",1
140,1,22,26,0.010765,"\int \frac{\text{Ei}(b x)}{x^2} \, dx","Integrate[ExpIntegralEi[b*x]/x^2,x]","\frac{(b x-1) \text{Ei}(b x)-e^{b x}}{x}","b \text{Ei}(b x)-\frac{\text{Ei}(b x)}{x}-\frac{e^{b x}}{x}",1,"(-E^(b*x) + (-1 + b*x)*ExpIntegralEi[b*x])/x","A",1
141,1,34,48,0.0134611,"\int \frac{\text{Ei}(b x)}{x^3} \, dx","Integrate[ExpIntegralEi[b*x]/x^3,x]","\frac{\left(b^2 x^2-2\right) \text{Ei}(b x)-e^{b x} (b x+1)}{4 x^2}","\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)*(1 + b*x)) + (-2 + b^2*x^2)*ExpIntegralEi[b*x])/(4*x^2)","A",1
142,1,41,63,0.0165131,"\int \frac{\text{Ei}(b x)}{x^4} \, dx","Integrate[ExpIntegralEi[b*x]/x^4,x]","\frac{\left(b^3 x^3-6\right) \text{Ei}(b x)-e^{b x} \left(b^2 x^2+b x+2\right)}{18 x^3}","\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)*(2 + b*x + b^2*x^2)) + (-6 + b^3*x^3)*ExpIntegralEi[b*x])/(18*x^3)","A",1
143,1,66,105,0.0338842,"\int x^2 \text{Ei}(b x)^2 \, dx","Integrate[x^2*ExpIntegralEi[b*x]^2,x]","\frac{2 b^3 x^3 \text{Ei}(b x)^2-4 e^{b x} \left(b^2 x^2-2 b x+2\right) \text{Ei}(b x)+8 \text{Ei}(2 b x)+e^{2 b x} (2 b x-5)}{6 b^3}","-\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,"(E^(2*b*x)*(-5 + 2*b*x) - 4*E^(b*x)*(2 - 2*b*x + b^2*x^2)*ExpIntegralEi[b*x] + 2*b^3*x^3*ExpIntegralEi[b*x]^2 + 8*ExpIntegralEi[2*b*x])/(6*b^3)","A",1
144,1,50,65,0.0201727,"\int x \text{Ei}(b x)^2 \, dx","Integrate[x*ExpIntegralEi[b*x]^2,x]","\frac{b^2 x^2 \text{Ei}(b x)^2-2 e^{b x} (b x-1) \text{Ei}(b x)-2 \text{Ei}(2 b x)+e^{2 b x}}{2 b^2}","\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*E^(b*x)*(-1 + b*x)*ExpIntegralEi[b*x] + b^2*x^2*ExpIntegralEi[b*x]^2 - 2*ExpIntegralEi[2*b*x])/(2*b^2)","A",1
145,1,33,33,0.0089269,"\int \text{Ei}(b x)^2 \, dx","Integrate[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",1
146,0,0,13,0.1290124,"\int \frac{\text{Ei}(b x)^2}{x} \, dx","Integrate[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,"Integrate[ExpIntegralEi[b*x]^2/x, x]","F",-1
147,0,0,13,0.1869243,"\int \frac{\text{Ei}(b x)^2}{x^2} \, dx","Integrate[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,"Integrate[ExpIntegralEi[b*x]^2/x^2, x]","F",-1
148,0,0,15,0.0862777,"\int (d x)^m \text{Ei}(b x)^3 \, dx","Integrate[(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,"Integrate[(d*x)^m*ExpIntegralEi[b*x]^3, x]","F",-1
149,0,0,15,0.2246353,"\int (d x)^m \text{Ei}(b x)^2 \, dx","Integrate[(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,"Integrate[(d*x)^m*ExpIntegralEi[b*x]^2, x]","F",-1
150,1,40,52,0.0410802,"\int (d x)^m \text{Ei}(b x) \, dx","Integrate[(d*x)^m*ExpIntegralEi[b*x],x]","\frac{(d x)^m \left(b x \text{Ei}(b x)-(-b x)^{-m} \text{Gamma}(m+1,-b x)\right)}{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)^m*(b*x*ExpIntegralEi[b*x] - Gamma[1 + m, -(b*x)]/(-(b*x))^m))/(b*(1 + m))","A",1
151,0,0,15,0.0399872,"\int \frac{(d x)^m}{\text{Ei}(b x)} \, dx","Integrate[(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,"Integrate[(d*x)^m/ExpIntegralEi[b*x], x]","F",-1
152,0,0,15,0.4190606,"\int \frac{(d x)^m}{\text{Ei}(b x)^2} \, dx","Integrate[(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,"Integrate[(d*x)^m/ExpIntegralEi[b*x]^2, x]","F",-1
153,1,86,194,0.0640397,"\int x^3 \text{Ei}(a+b x) \, dx","Integrate[x^3*ExpIntegralEi[a + b*x],x]","\frac{\left(b^4 x^4-a^4\right) \text{Ei}(a+b x)+e^{a+b x} \left(a^3+a^2 (1-b x)+a \left(b^2 x^2-2 b x+2\right)-b^3 x^3+3 b^2 x^2-6 b x+6\right)}{4 b^4}","-\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,"(E^(a + b*x)*(6 + a^3 - 6*b*x + 3*b^2*x^2 - b^3*x^3 + a^2*(1 - b*x) + a*(2 - 2*b*x + b^2*x^2)) + (-a^4 + b^4*x^4)*ExpIntegralEi[a + b*x])/(4*b^4)","A",1
154,1,57,124,0.039877,"\int x^2 \text{Ei}(a+b x) \, dx","Integrate[x^2*ExpIntegralEi[a + b*x],x]","\frac{\left(a^3+b^3 x^3\right) \text{Ei}(a+b x)-e^{a+b x} \left(a^2-a b x+a+b^2 x^2-2 b x+2\right)}{3 b^3}","\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,"(-(E^(a + b*x)*(2 + a + a^2 - 2*b*x - a*b*x + b^2*x^2)) + (a^3 + b^3*x^3)*ExpIntegralEi[a + b*x])/(3*b^3)","A",1
155,1,43,74,0.0290931,"\int x \text{Ei}(a+b x) \, dx","Integrate[x*ExpIntegralEi[a + b*x],x]","\frac{\left(b^2 x^2-a^2\right) \text{Ei}(a+b x)+e^{a+b x} (a-b x+1)}{2 b^2}","-\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)*(1 + a - b*x) + (-a^2 + b^2*x^2)*ExpIntegralEi[a + b*x])/(2*b^2)","A",1
156,1,26,28,0.0168575,"\int \text{Ei}(a+b x) \, dx","Integrate[ExpIntegralEi[a + b*x],x]","\frac{(a+b x) \text{Ei}(a+b x)-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) + (a + b*x)*ExpIntegralEi[a + b*x])/b","A",1
157,0,0,13,0.1268109,"\int \frac{\text{Ei}(a+b x)}{x} \, dx","Integrate[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,"Integrate[ExpIntegralEi[a + b*x]/x, x]","F",-1
158,1,31,36,0.0414778,"\int \frac{\text{Ei}(a+b x)}{x^2} \, dx","Integrate[ExpIntegralEi[a + b*x]/x^2,x]","\frac{e^a b x \text{Ei}(b x)-(a+b x) \text{Ei}(a+b x)}{a 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*x*ExpIntegralEi[b*x] - (a + b*x)*ExpIntegralEi[a + b*x])/(a*x)","A",1
159,1,60,82,0.041752,"\int \frac{\text{Ei}(a+b x)}{x^3} \, dx","Integrate[ExpIntegralEi[a + b*x]/x^3,x]","\frac{\left(b^2 x^2-a^2\right) \text{Ei}(a+b x)+(a-1) e^a b^2 x^2 \text{Ei}(b x)-a b x e^{a+b x}}{2 a^2 x^2}","-\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,"(-(a*b*E^(a + b*x)*x) + (-1 + a)*b^2*E^a*x^2*ExpIntegralEi[b*x] + (-a^2 + b^2*x^2)*ExpIntegralEi[a + b*x])/(2*a^2*x^2)","A",1
160,1,105,286,0.4179692,"\int x^2 \text{Ei}(a+b x)^2 \, dx","Integrate[x^2*ExpIntegralEi[a + b*x]^2,x]","\frac{2 \left(a^3+b^3 x^3\right) \text{Ei}(a+b x)^2-4 e^{a+b x} \left(a^2-a b x+a+b^2 x^2-2 b x+2\right) \text{Ei}(a+b x)+4 \left(3 a^2+3 a+2\right) \text{Ei}(2 (a+b x))+e^{2 (a+b x)} (-4 a+2 b x-5)}{6 b^3}","\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,"(E^(2*(a + b*x))*(-5 - 4*a + 2*b*x) - 4*E^(a + b*x)*(2 + a + a^2 - 2*b*x - a*b*x + b^2*x^2)*ExpIntegralEi[a + b*x] + 2*(a^3 + b^3*x^3)*ExpIntegralEi[a + b*x]^2 + 4*(2 + 3*a + 3*a^2)*ExpIntegralEi[2*(a + b*x)])/(6*b^3)","A",1
161,1,76,152,0.1588581,"\int x \text{Ei}(a+b x)^2 \, dx","Integrate[x*ExpIntegralEi[a + b*x]^2,x]","\frac{\left(b^2 x^2-a^2\right) \text{Ei}(a+b x)^2+2 e^{a+b x} (a-b x+1) \text{Ei}(a+b x)-2 (2 a+1) \text{Ei}(2 (a+b x))+e^{2 (a+b x)}}{2 b^2}","-\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 + b*x)) + 2*E^(a + b*x)*(1 + a - b*x)*ExpIntegralEi[a + b*x] + (-a^2 + b^2*x^2)*ExpIntegralEi[a + b*x]^2 - 2*(1 + 2*a)*ExpIntegralEi[2*(a + b*x)])/(2*b^2)","A",1
162,1,44,49,0.0103959,"\int \text{Ei}(a+b x)^2 \, dx","Integrate[ExpIntegralEi[a + b*x]^2,x]","\frac{(a+b x) \text{Ei}(a+b x)^2-2 e^{a+b x} \text{Ei}(a+b x)+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] + (a + b*x)*ExpIntegralEi[a + b*x]^2 + 2*ExpIntegralEi[2*(a + b*x)])/b","A",1
163,0,0,15,0.1915774,"\int \frac{\text{Ei}(a+b x)^2}{x} \, dx","Integrate[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,"Integrate[ExpIntegralEi[a + b*x]^2/x, x]","F",-1
164,0,0,15,0.269825,"\int \frac{\text{Ei}(a+b x)^2}{x^2} \, dx","Integrate[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,"Integrate[ExpIntegralEi[a + b*x]^2/x^2, x]","F",-1
165,0,0,15,0.0706046,"\int x^2 \text{Ei}(a+b x)^3 \, dx","Integrate[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,"Integrate[x^2*ExpIntegralEi[a + b*x]^3, x]","F",-1
166,0,0,13,0.0640963,"\int x \text{Ei}(a+b x)^3 \, dx","Integrate[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,"Integrate[x*ExpIntegralEi[a + b*x]^3, x]","F",-1
167,0,0,11,0.0159252,"\int \text{Ei}(a+b x)^3 \, dx","Integrate[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,"Integrate[ExpIntegralEi[a + b*x]^3, x]","F",-1
168,0,0,15,0.0371632,"\int \frac{\text{Ei}(a+b x)^3}{x} \, dx","Integrate[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,"Integrate[ExpIntegralEi[a + b*x]^3/x, x]","F",-1
169,0,0,15,0.0560513,"\int \frac{\text{Ei}(a+b x)^3}{x^2} \, dx","Integrate[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,"Integrate[ExpIntegralEi[a + b*x]^3/x^2, x]","F",-1
170,0,0,19,0.1498925,"\int (c+d x)^m \text{Ei}(a+b x)^3 \, dx","Integrate[(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,"Integrate[(c + d*x)^m*ExpIntegralEi[a + b*x]^3, x]","F",-1
171,0,0,19,1.5449659,"\int (c+d x)^m \text{Ei}(a+b x)^2 \, dx","Integrate[(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,"Integrate[(c + d*x)^m*ExpIntegralEi[a + b*x]^2, x]","F",-1
172,0,0,63,0.4701783,"\int (c+d x)^m \text{Ei}(a+b x) \, dx","Integrate[(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,"Integrate[(c + d*x)^m*ExpIntegralEi[a + b*x], x]","F",-1
173,0,0,19,0.0648396,"\int \frac{(c+d x)^m}{\text{Ei}(a+b x)} \, dx","Integrate[(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,"Integrate[(c + d*x)^m/ExpIntegralEi[a + b*x], x]","F",-1
174,0,0,19,3.2218978,"\int \frac{(c+d x)^m}{\text{Ei}(a+b x)^2} \, dx","Integrate[(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,"Integrate[(c + d*x)^m/ExpIntegralEi[a + b*x]^2, x]","F",-1
175,1,69,74,0.2073405,"\int x^2 \text{Ei}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Integrate[x^2*ExpIntegralEi[d*(a + b*Log[c*x^n])],x]","\frac{1}{3} x^3 \left(\text{Ei}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-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)\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])] - ExpIntegralEi[((3 + b*d*n)*(a + b*Log[c*x^n]))/(b*n)]/(E^((3*a)/(b*n))*(c*x^n)^(3/n))))/3","A",1
176,1,69,74,0.1926791,"\int x \text{Ei}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Integrate[x*ExpIntegralEi[d*(a + b*Log[c*x^n])],x]","\frac{1}{2} x^2 \left(\text{Ei}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-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)\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])] - ExpIntegralEi[((2 + b*d*n)*(a + b*Log[c*x^n]))/(b*n)]/(E^((2*a)/(b*n))*(c*x^n)^(2/n))))/2","A",1
177,1,64,65,0.1683604,"\int \text{Ei}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Integrate[ExpIntegralEi[d*(a + b*Log[c*x^n])],x]","x \left(\text{Ei}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-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)\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])] - ExpIntegralEi[((1 + b*d*n)*(a + b*Log[c*x^n]))/(b*n)]/(E^(a/(b*n))*(c*x^n)^n^(-1)))","A",1
178,1,52,56,0.0621455,"\int \frac{\text{Ei}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x} \, dx","Integrate[ExpIntegralEi[d*(a + b*Log[c*x^n])]/x,x]","\frac{d \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)-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)) + d*ExpIntegralEi[d*(a + b*Log[c*x^n])]*(a + b*Log[c*x^n]))/(b*d*n)","A",1
179,1,64,68,0.1642514,"\int \frac{\text{Ei}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^2} \, dx","Integrate[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{(b d n-1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)-\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])] + E^(a/(b*n))*(c*x^n)^n^(-1)*ExpIntegralEi[((-1 + b*d*n)*(a + b*Log[c*x^n]))/(b*n)])/x","A",1
180,1,69,76,0.1967653,"\int \frac{\text{Ei}\left(d \left(a+b \log \left(c x^n\right)\right)\right)}{x^3} \, dx","Integrate[ExpIntegralEi[d*(a + b*Log[c*x^n])]/x^3,x]","-\frac{\text{Ei}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-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)}{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])] - 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",1
181,1,88,100,0.2835724,"\int (e x)^m \text{Ei}\left(d \left(a+b \log \left(c x^n\right)\right)\right) \, dx","Integrate[(e*x)^m*ExpIntegralEi[d*(a + b*Log[c*x^n])],x]","\frac{(e x)^m \left(x \text{Ei}\left(d \left(a+b \log \left(c x^n\right)\right)\right)-x^{-m} \exp \left(-\frac{(m+1) \left(a+b \log \left(c x^n\right)-b n \log (x)\right)}{b n}\right) \text{Ei}\left(\frac{(m+b d n+1) \left(a+b \log \left(c x^n\right)\right)}{b n}\right)\right)}{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)^m*(x*ExpIntegralEi[d*(a + b*Log[c*x^n])] - ExpIntegralEi[((1 + m + b*d*n)*(a + b*Log[c*x^n]))/(b*n)]/(E^(((1 + m)*(a - b*n*Log[x] + b*Log[c*x^n]))/(b*n))*x^m)))/(1 + m)","A",1
182,0,0,82,0.1811347,"\int \frac{e^{b x} \text{Ei}(b x)}{x^3} \, dx","Integrate[(E^(b*x)*ExpIntegralEi[b*x])/x^3,x]","\int \frac{e^{b x} \text{Ei}(b x)}{x^3} \, dx","\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,"Integrate[(E^(b*x)*ExpIntegralEi[b*x])/x^3, x]","A",-1
183,0,0,45,0.1401855,"\int \frac{e^{b x} \text{Ei}(b x)}{x^2} \, dx","Integrate[(E^(b*x)*ExpIntegralEi[b*x])/x^2,x]","\int \frac{e^{b x} \text{Ei}(b x)}{x^2} \, dx","\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,"Integrate[(E^(b*x)*ExpIntegralEi[b*x])/x^2, x]","A",-1
184,1,10,10,0.0035926,"\int \frac{e^{b x} \text{Ei}(b x)}{x} \, dx","Integrate[(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
185,1,24,24,0.0124909,"\int e^{b x} \text{Ei}(b x) \, dx","Integrate[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",1
186,1,41,51,0.0206725,"\int e^{b x} x \text{Ei}(b x) \, dx","Integrate[E^(b*x)*x*ExpIntegralEi[b*x],x]","\frac{e^{b x} (b x-1) \text{Ei}(b x)}{b^2}+\frac{\text{Ei}(2 b x)}{b^2}-\frac{e^{2 b x}}{2 b^2}","-\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)*(-1 + b*x)*ExpIntegralEi[b*x])/b^2 + ExpIntegralEi[2*b*x]/b^2","A",1
187,1,52,83,0.0305258,"\int e^{b x} x^2 \text{Ei}(b x) \, dx","Integrate[E^(b*x)*x^2*ExpIntegralEi[b*x],x]","\frac{4 e^{b x} \left(b^2 x^2-2 b x+2\right) \text{Ei}(b x)-8 \text{Ei}(2 b x)+e^{2 b x} (5-2 b x)}{4 b^3}","\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,"(E^(2*b*x)*(5 - 2*b*x) + 4*E^(b*x)*(2 - 2*b*x + b^2*x^2)*ExpIntegralEi[b*x] - 8*ExpIntegralEi[2*b*x])/(4*b^3)","A",1
188,1,68,112,0.0386859,"\int e^{b x} x^3 \text{Ei}(b x) \, dx","Integrate[E^(b*x)*x^3*ExpIntegralEi[b*x],x]","\frac{-e^{2 b x} \left(b^2 x^2-4 b x+8\right)+2 e^{b x} \left(b^3 x^3-3 b^2 x^2+6 b x-6\right) \text{Ei}(b x)+12 \text{Ei}(2 b x)}{2 b^4}","-\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,"(-(E^(2*b*x)*(8 - 4*b*x + b^2*x^2)) + 2*E^(b*x)*(-6 + 6*b*x - 3*b^2*x^2 + b^3*x^3)*ExpIntegralEi[b*x] + 12*ExpIntegralEi[2*b*x])/(2*b^4)","A",1
189,1,189,433,0.6636929,"\int e^{a+b x} x^3 \text{Ei}(c+d x) \, dx","Integrate[E^(a + b*x)*x^3*ExpIntegralEi[c + d*x],x]","\frac{e^a \left(\frac{b e^{x (b+d)+c} \left((b+d)^2 \left(-\left(b^2 \left(c^2-c d x+d^2 x^2\right)+3 b d (c-d x)+6 d^2\right)\right)-b d \left(b^2 (c-2 d x)+b d (c-2 d x+5)+3 d^2\right)\right)}{d^2 (b+d)^3}+\frac{\left(b^3 c^3+3 b^2 c^2 d+6 b c d^2+6 d^3\right) e^{-\frac{b c}{d}} \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)}{d^3}+e^{b x} \left(b^3 x^3-3 b^2 x^2+6 b x-6\right) \text{Ei}(c+d x)\right)}{b^4}","-\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,"(E^a*((b*E^(c + (b + d)*x)*(-(b*d*(3*d^2 + b^2*(c - 2*d*x) + b*d*(5 + c - 2*d*x))) - (b + d)^2*(6*d^2 + 3*b*d*(c - d*x) + b^2*(c^2 - c*d*x + d^2*x^2))))/(d^2*(b + d)^3) + E^(b*x)*(-6 + 6*b*x - 3*b^2*x^2 + b^3*x^3)*ExpIntegralEi[c + d*x] + ((b^3*c^3 + 3*b^2*c^2*d + 6*b*c*d^2 + 6*d^3)*ExpIntegralEi[((b + d)*(c + d*x))/d])/(d^3*E^((b*c)/d))))/b^4","A",1
190,1,135,238,0.2462248,"\int e^{a+b x} x^2 \text{Ei}(c+d x) \, dx","Integrate[E^(a + b*x)*x^2*ExpIntegralEi[c + d*x],x]","\frac{\left(b^2 (c-d x)+b d (c-d x+3)+2 d^2\right) e^{a+x (b+d)+c}}{b^2 d (b+d)^2}+\frac{e^{a-\frac{b c}{d}} \left(d^2 \left(b^2 x^2-2 b x+2\right) e^{b \left(\frac{c}{d}+x\right)} \text{Ei}(c+d x)-\left(b^2 c^2+2 b c d+2 d^2\right) \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)\right)}{b^3 d^2}","\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)*(2*d^2 + b^2*(c - d*x) + b*d*(3 + c - d*x)))/(b^2*d*(b + d)^2) + (E^(a - (b*c)/d)*(d^2*E^(b*(c/d + x))*(2 - 2*b*x + b^2*x^2)*ExpIntegralEi[c + d*x] - (b^2*c^2 + 2*b*c*d + 2*d^2)*ExpIntegralEi[((b + d)*(c + d*x))/d]))/(b^3*d^2)","A",1
191,1,91,117,0.1888382,"\int e^{a+b x} x \text{Ei}(c+d x) \, dx","Integrate[E^(a + b*x)*x*ExpIntegralEi[c + d*x],x]","\frac{e^{a-\frac{b c}{d}} \left(d (b+d) (b x-1) e^{b \left(\frac{c}{d}+x\right)} \text{Ei}(c+d x)+(b+d) (b c+d) \text{Ei}\left(\frac{(b+d) (c+d x)}{d}\right)-b d e^{\frac{(b+d) (c+d x)}{d}}\right)}{b^2 d (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 - (b*c)/d)*(-(b*d*E^(((b + d)*(c + d*x))/d)) + d*(b + d)*E^(b*(c/d + x))*(-1 + b*x)*ExpIntegralEi[c + d*x] + (b + d)*(b*c + d)*ExpIntegralEi[((b + d)*(c + d*x))/d]))/(b^2*d*(b + d))","A",1
192,1,45,47,0.0584159,"\int e^{a+b x} \text{Ei}(c+d x) \, dx","Integrate[E^(a + b*x)*ExpIntegralEi[c + d*x],x]","\frac{e^{a+b x} \text{Ei}(c+d x)-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] - E^(a - (b*c)/d)*ExpIntegralEi[((b + d)*(c + d*x))/d])/b","A",1
193,0,0,20,0.5261004,"\int \frac{e^{a+b x} \text{Ei}(c+d x)}{x} \, dx","Integrate[(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,"Integrate[(E^(a + b*x)*ExpIntegralEi[c + d*x])/x, x]","F",-1
194,0,0,87,0.8729938,"\int \frac{e^{a+b x} \text{Ei}(c+d x)}{x^2} \, dx","Integrate[(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,"Integrate[(E^(a + b*x)*ExpIntegralEi[c + d*x])/x^2, x]","F",-1
195,0,0,220,1.3671642,"\int \frac{e^{a+b x} \text{Ei}(c+d x)}{x^3} \, dx","Integrate[(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,"Integrate[(E^(a + b*x)*ExpIntegralEi[c + d*x])/x^3, x]","F",-1
196,1,26,26,0.0317049,"\int x^2 \text{li}(b x) \, dx","Integrate[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",1
197,1,26,26,0.0168617,"\int x \text{li}(b x) \, dx","Integrate[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",1
198,1,19,19,0.0203696,"\int \text{li}(b x) \, dx","Integrate[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
199,1,14,14,0.0084225,"\int \frac{\text{li}(b x)}{x} \, dx","Integrate[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
200,1,17,17,0.0073878,"\int \frac{\text{li}(b x)}{x^2} \, dx","Integrate[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",1
201,1,26,26,0.0168432,"\int \frac{\text{li}(b x)}{x^3} \, dx","Integrate[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",1
202,1,45,57,0.0923123,"\int (d x)^m \text{li}(b x) \, dx","Integrate[(d*x)^m*LogIntegral[b*x],x]","\frac{(b x)^{-m} (d x)^m \left(b x \text{li}(b x) (b x)^m-\text{Ei}((m+2) \log (b x))\right)}{b (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,"((d*x)^m*(-ExpIntegralEi[(2 + m)*Log[b*x]] + b*x*(b*x)^m*LogIntegral[b*x]))/(b*(1 + m)*(b*x)^m)","A",1
203,1,69,77,0.0892609,"\int x^2 \text{li}(a+b x) \, dx","Integrate[x^2*LogIntegral[a + b*x],x]","\frac{1}{3} x^3 \text{li}(a+b x)-\frac{a^3 (-\text{Ei}(\log (a+b x)))+3 a^2 \text{Ei}(2 \log (a+b x))-3 a \text{Ei}(3 \log (a+b x))+\text{Ei}(4 \log (a+b x))}{3 b^3}","\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^3*ExpIntegralEi[Log[a + b*x]]) + 3*a^2*ExpIntegralEi[2*Log[a + b*x]] - 3*a*ExpIntegralEi[3*Log[a + b*x]] + ExpIntegralEi[4*Log[a + b*x]])/(3*b^3) + (x^3*LogIntegral[a + b*x])/3","A",1
204,1,54,60,0.086017,"\int x \text{li}(a+b x) \, dx","Integrate[x*LogIntegral[a + b*x],x]","\frac{1}{2} x^2 \text{li}(a+b x)-\frac{a^2 \text{Ei}(\log (a+b x))-2 a \text{Ei}(2 \log (a+b x))+\text{Ei}(3 \log (a+b x))}{2 b^2}","-\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^2*ExpIntegralEi[Log[a + b*x]] - 2*a*ExpIntegralEi[2*Log[a + b*x]] + ExpIntegralEi[3*Log[a + b*x]])/(2*b^2) + (x^2*LogIntegral[a + b*x])/2","A",1
205,1,34,30,0.0576481,"\int \text{li}(a+b x) \, dx","Integrate[LogIntegral[a + b*x],x]","x \text{li}(a+b x)-\frac{\text{Ei}(2 \log (a+b x))-a \text{Ei}(\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,"-((-(a*ExpIntegralEi[Log[a + b*x]]) + ExpIntegralEi[2*Log[a + b*x]])/b) + x*LogIntegral[a + b*x]","A",1
206,0,0,13,0.0239209,"\int \frac{\text{li}(a+b x)}{x} \, dx","Integrate[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,"Integrate[LogIntegral[a + b*x]/x, x]","F",-1
207,0,0,29,0.223493,"\int \frac{\text{li}(a+b x)}{x^2} \, dx","Integrate[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,"Integrate[LogIntegral[a + b*x]/x^2, x]","F",-1
208,0,0,53,0.6318929,"\int (d x)^m \text{li}(a+b x) \, dx","Integrate[(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,"Integrate[(d*x)^m*LogIntegral[a + b*x], x]","F",-1