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Question Number 140487 by Dwaipayan Shikari last updated on 08/May/21

∫_0 ^∞ ((1/( (√(1+x))))−(1/( (√(1+x^2 )))))(dx/x)=log(2)

$$\int_{\mathrm{0}} ^{\infty} \left(\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}+{x}}}−\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }}\right)\frac{{dx}}{{x}}={log}\left(\mathrm{2}\right) \\ $$

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