Menu Close

0-1-ln-1-x-ln-1-x-2-x-dx-pi-2-G-33-32-3-




Question Number 144997 by qaz last updated on 01/Jul/21
          ∫_0 ^1 ((ln(1+x)ln(1+x^2 ))/x)dx=(π/2)G−((33)/(32))ζ(3)
$$\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{ln}\left(\mathrm{1}+\mathrm{x}\right)\mathrm{ln}\left(\mathrm{1}+\mathrm{x}^{\mathrm{2}} \right)}{\mathrm{x}}\mathrm{dx}=\frac{\pi}{\mathrm{2}}\mathrm{G}−\frac{\mathrm{33}}{\mathrm{32}}\zeta\left(\mathrm{3}\right) \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *