O'Reilly logo

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

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

4.25 Combinations of logarithms and powers

4.251

1 

0xμ1ln?xβ+x?dx=πβμ1sin?μπ(ln?βπcot?μπ)[|arg?β|?<π,?0<Re?μ<1]

si370_e  BI (135)(1)

2. 

0xμ1ln?xaxdx=πaμ1?(cot?μπ?ln?aπsin2μπ)[a>?0,?0<Re?μ<1]

si371_e  ET I 314(5)

3.10 

01xμ1ln?xx+1dx=β'(μ)[Re?μ>0]

si372_e  GW (324)(6), ET I 314(3)

4. 

01xμ1ln?xx1dx=ψ'(μ)=ζ(2,μ)[Re?μ>0]

si373_e  BI (108)(8)

5.11 

01ln

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required