Let n ge 2 be a natural number and 0 lt ...

Let `n ge 2` be a natural number and `0 lt theta lt (pi)/(2)`, Then, `int ((sin^(n)theta - sin theta)^(1/n) cos theta)/(sin^(n+1) theta)d theta` is equal to (where C is a constant of integration)

A

`(n)/(n^2 -1)(1-(1)/(sin^(n+1)theta))^((n+1)/(n))+C`

B

`(n)/(n^2 -1)(1-(1)/(sin^(n+1)theta))^((n+1)/(n))+C`

C

`(n)/(n^2 +1)(1-(1)/(sin^(n+1)theta))^((n+1)/(n))+C`

D

`(n)/(n^2 -1)(1+(1)/(sin^(n+1)theta))^((n+1)/(n))+C`

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The correct Answer is:

B

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