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find-I-0-dt-1-t-4-n-with-n-integr-and-n-0-




Question Number 28438 by abdo imad last updated on 25/Jan/18
find  I= ∫_0 ^∞    (dt/((1+t^4 )^n ))  with n integr and n≠0.
$${find}\:\:{I}=\:\int_{\mathrm{0}} ^{\infty} \:\:\:\frac{{dt}}{\left(\mathrm{1}+{t}^{\mathrm{4}} \right)^{{n}} }\:\:{with}\:{n}\:{integr}\:{and}\:{n}\neq\mathrm{0}. \\ $$

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