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Question-226861




Question Number 226861 by Estevao last updated on 17/Dec/25
Answered by Estevao last updated on 17/Dec/25
Go go gooooooo
$${Go}\:{go}\:{gooooooo} \\ $$
Answered by Tawa11 last updated on 17/Dec/25
  ∫_( 0) ^( 1)  ((log(y) Li_2 (y))/(1    −    y)) dy     =     −    (π^4 /(120))
$$\:\:\int_{\:\mathrm{0}} ^{\:\mathrm{1}} \:\frac{\mathrm{log}\left(\boldsymbol{\mathrm{y}}\right)\:\mathrm{L}\boldsymbol{\mathrm{i}}_{\mathrm{2}} \left(\boldsymbol{\mathrm{y}}\right)}{\mathrm{1}\:\:\:\:−\:\:\:\:\boldsymbol{\mathrm{y}}}\:\boldsymbol{\mathrm{dy}}\:\:\:\:\:=\:\:\:\:\:−\:\:\:\:\frac{\pi^{\mathrm{4}} }{\mathrm{120}} \\ $$
Commented by Estevao last updated on 17/Dec/25
Show all the steps
$${Show}\:{all}\:{the}\:{steps} \\ $$

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