1.

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)=....

Answer»

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

Answer :B


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