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

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0xv1eμx1ebxdx=1bvΓ(v)ζ(v,μb)[Reb>0,  Reμ>0,  Rev>1]

si1797_e

ET I 144(10)

8. 

0xn1epx1+exdx=(n1)!k=1(1)k1(p+k)n[P>1,   n=1, 2, ]

si1798_e

ET I 144(10)BI (83)(9)

9. 

0xexdxex1dx=π261

si1799_e

(cf. 4.231 3)BI (82)(1)

10. 

0xe2xdxex+1dx=1π212

si1800_e

(cf.4.251 6BI (82)(2)

11. 

0xe3xex+1dx=π21234

(cf.4.251 5)BI (82)(3)

12.11 

0xe(2n1)x1+e

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