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Obtain reduction formula for I(n)=int co...

Obtain reduction formula for `I_(n)=int cot^(n) x dx`, n being a positive integer , `n ge 2` and deduce the value of `int cot^(4) x dx`.

A

`-(1)/(3)cot^(3)x+cot x+x+c`

B

`-(1)/(3)cot^(3)x+cot x-x+c`

C

`-(1)/(3)cot^(3)x-cot x+x+c`

D

`(1)/(3)cot^(3)x-cot x-x-c`

Text Solution

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The correct Answer is:
A
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