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Question Number 57423 by Abdo msup. last updated on 03/Apr/19

let A_n =∫_0 ^∞    (dt/((e^t  +e^(−t) )^n ))  calculate A_n  interms of n

$${let}\:{A}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{dt}}{\left({e}^{{t}} \:+\overset{−{t}} {{e}}\right)^{{n}} } \\ $$$${calculate}\:{A}_{{n}} \:{interms}\:{of}\:{n} \\ $$

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