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

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4.2–4.4 Logarithmic Functions

4.21 Logarithmic functions

4.211

1. 

edxln1x=

si173_e  BI (33)(9)

2. 

eudxlnx=li?u

si174_e  FI III 653, FI II 606

4.212

1. 

01dxa+lnx=eaEi(a)[a>0]

si175_e  BI (31)(4)

2. 

01dxalnx=eaEi(a)[a>0]

si176_e  BI (31)(5)

3.7 

01dx(a+lnx)2=1a+eaEi(a)[a0]

  BI (31)(14)

4. 

01dx(alnx)2=1a+eaEi(a)[a>0]

  BI (31)(16)

5.8 

01lnxdx

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