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`

Let `n ge 2` be a natural number and `0 lt theta lt (pi)/(2)`, Then, `

1.	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`
Answer» Correct Answer - C

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