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Question Number 138619 by Dwaipayan Shikari last updated on 15/Apr/21

∫_0 ^∞ (e^(−x^(√3) ) −(1/((1+x^(√3) )^(√3) )))(dx/x)=(1/( (√3)))ψ((1/( (√3))))

$$\int_{\mathrm{0}} ^{\infty} \left({e}^{−{x}^{\sqrt{\mathrm{3}}} } −\frac{\mathrm{1}}{\left(\mathrm{1}+{x}^{\sqrt{\mathrm{3}}} \right)^{\sqrt{\mathrm{3}}} }\right)\frac{{dx}}{{x}}=\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}\psi\left(\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}\right) \\ $$

Commented by mnjuly1970 last updated on 15/Apr/21

nice problem..

$${nice}\:{problem}.. \\ $$

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