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Repeated application of intergration by ...

Repeated application of intergration by parts gives us, the reduction formula if the integrand is dependent on a natural number n.
If `int(cos^(m)x)/(sin^(n)x)dx=(cos^(m-1)x)/((1-n)sin^(n-1)x)+A int (cos^(m-2)x)/(sin^(n-2)x)dx+c`, then A is equal to-

A

`(m)/(m+n)`

B

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

C

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

D

`(m-1)/(m-n)`

Text Solution

Verified by Experts

The correct Answer is:
D
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