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Obtain reduction formula for In = int si...

Obtain reduction formula for `I_n = int sin^n x dx` for an integer `n ge 2` and deduce the value of `int sin^4 x dx`.

Text Solution

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The correct Answer is:
`- (1)/(5) sin^(4) x cos x - (4)/(15) sin^(2) x cos x + (8)/(15) cosx + C`.
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