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If In = int sin^n x \ dx, then n In - (n...

If `I_n = int sin^n x \ dx,` then `n I_n - (n-1) I_(n-2)` equals

A

(a) `sin^(n-1)xcosx`

B

(b) `cos^(n-1)xsinx`

C

(c) `-sin^(n-1)xcosx`

D

(d) `-cos^(n-1)xsinx`

Text Solution

Verified by Experts

The correct Answer is:
C
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