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

Tinku Tara June 4, 2023 Integration 0 Comments

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

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