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Category: Integration

0-arctan-1-x-2-

Question Number 134418 by mnjuly1970 last updated on 03/Mar/21 $$ \\ $$$$\:\:\:\:\:\:\:\:\boldsymbol{\phi}=\int_{\mathrm{0}} ^{\:\infty} \left({arctan}\left(\frac{\mathrm{1}}{{x}}\right)\right)^{\mathrm{2}} =??? \\ $$ Answered by Ñï= last updated on 03/Mar/21 $$\int\left(\mathrm{tan}^{−\mathrm{1}}…