n-1-n-2-0-pi-2-sin-2-x-sin-x-cos-x-4-n-dx-

Tinku Tara June 4, 2023 Integration 0 Comments

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Question Number 153759 by mnjuly1970 last updated on 10/Sep/21

Ω= Σ_(n=1) ^∞ {n^2 (∫_0 ^( (π/2)) (( sin^( 2) (x ))/((sin(x)+cos(x))^( 4) )))^( n) dx}=?

Ω = \underset{n = 1}{\sum^{\infty}} {n^{2} {(\int_{0}^{\frac{π}{2}} \frac{{s i n}^{2} (x)}{{(s i n (x) + c o s (x))}^{4}})}^{n} d x} = ?

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