If $$In=$$∫sinn⁡xdx then $$I8$$−$$78I6$$ is

Correct option is 2−cosx sin7x8

Questions

$If I_{n} = \int \sin^{n} x d x then I_{8} - \frac{7}{8} I_{6} is$

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cosx sin7x8

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detailed solution

Correct option is B

In=−sinn−1xcosxn+n−1nIn−2put, n = 8

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If In=∫sinn⁡xdx then I8−78I6 is

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$If I_{n} = \int \sin^{n} x d x then I_{8} - \frac{7}{8} I_{6} is$