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Table of Integrals, Series, and Products, 8th Edition by Daniel Zwillinger

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0(1x+22x(1ex))eqxdxx=1+(q+12)lnq+1q[q>0]

si1909_e

BI (89)(23)

2. 

0(ex1x+11+x)dxx=C1

si1910_e

BI (92)(16)

3. 

(epx11+a2x2 )dxx=C+lnap[p>0]

si1911_e

BI (92)(11)

3.443

1. 

0(exp22px+1epxx2)dxx=p22ln p34p2[p>0]    

si1912_e

BI (89)(32)

2. 

0(1epx)neqxx3dx=12k=2n(1)k1(nk)(q+kp)2ln(q+kp)[n>2,  q>0,  pn+q>0]

(cf.4.268 4) BI (89)(30)

3. 

0(1ep

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