`(e^(tan^(-1))x)/(1+x^(2))`

Explanation

`int(e^(tan^(-1))x)/(1+x^(2))" माना "tan^(-1)x=t`
`=inte^(t)dt" "rArr (1)/(1+x^(2))dx=dt`
`=e^(t)+c=e^(tan^(-1)x)+c`