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Method of integration by parts : If I(...

Method of integration by parts :
If `I_(n)=int cot^(n)x dx` then `I_(0)+I_(1)+2(I_(2)+I_(3)+,......+I_(8))+I_(9(+I_(10)=....`

A

`u+(u^(2))/(2)+....+(u^(9))/(9)`

B

`-(u+(u^(2))/(2)+......+(u^(2))/(9))`

C

`-(u+(u^(2))/(2!)+......+(u^(2))/(9!))`

D

`(u)/(2)+(2u^(2))/(3)+....+(9u^(9))/(10)`

Text Solution

Verified by Experts

The correct Answer is:
B
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