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let-give-0-lt-p-lt-1-calculate-K-p-e-pt-1-e-t-dt-




Question Number 29002 by abdo imad last updated on 03/Feb/18
let give 0<p<1 calculate  K(p)= ∫_(−∞) ^(+∞)    (e^(pt) /(1+e^t ))dt.
$${let}\:{give}\:\mathrm{0}<{p}<\mathrm{1}\:{calculate}\:\:{K}\left({p}\right)=\:\int_{−\infty} ^{+\infty} \:\:\:\frac{{e}^{{pt}} }{\mathrm{1}+{e}^{{t}} }{dt}. \\ $$

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