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If I(n)=int (t^(n))/(1+t^(2))dt, then I(...

If `I_(n)=int (t^(n))/(1+t^(2))dt,` then `I_(n-2)=`

A

`(t^(n+1))/(n+1)+I_(n)`

B

`(t^(n+1))/(n+1)-I_(n)`

C

`(t^(n+1))/(n-1)-I_(n)`

D

`(t^(n+1))/(2n+1)-I_(n)`

Text Solution

Verified by Experts

The correct Answer is:
B
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