let X_n =∫_0 ^(π/4) sin^n xdx 1) calculate X_0 ,X_1 ,X_2 ,X_3 2) find X_n interms of n 3)find the value of ∫


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Question Number 65771 by mathmax by abdo last updated on 03/Aug/19

$l e t X_{n} = \int_{0}^{\frac{π}{4}} {s i n}^{n} x d x$ $1) c a l c u l a t e X_{0}, X_{1}, X_{2}, X_{3}$ $2) f i n d X_{n} i n t e r m s o f n$ $3) f i n d t h e v a l u e o f \int_{0}^{\frac{π}{4}} {s i n}^{8} x d x$
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