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If In = int x sin^n x dx and In = -(x si...

If `I_n = int x sin^n x dx` and `I_n = -(x sin^(n-1)x cos x)/n + (sin^n x)/n^2 + f(n) I_(n - 2)` , then the value of f(n) is equal to

A

`(n - 1)/n`

B

`(n-2)/(n-1)`

C

`(n + 1)/n`

D

`(n + 1)/(n - 1)`

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The correct Answer is:
A
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