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

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3.3–3.4 Exponential Functions

3.31 Exponential functions

3.31011

0epxdx=1p[Rep > 0]

si1512_e

3.311

1. 

0dx1+epx=ln2p

si1513_e  LO III 284a

2. 

0eμx1+exdx=β(μ)[Reμ > 0]

si1514_e  EH I 20(3), ET I 144(7)

3.12 

eaxdx1+ex=πsinπa[Rea > 0]

si1515_e  (cf. 3.241 2)BI (28)(7)

4. 

0eqxdx1aepx=k=0akq+kp[0 < a < 1]

  BI (27)(7)

5. 

01evxex1dx=ψ(v)+C+πcot(πv

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