`(x^(2))/((2+3x^(3))^(3))`

Explanation

`int(x^(2))/((2+3x^(3))^(3))dx" माना "2+3x^(3)=t`
`=int(1)/(t^(3))(dt)/(9)=(1)/(9)intt^(-3)dt" "rArr 9x^(2)dx=dt`
`=(1)/(9)((t^(-2))/(-2))+c=-(1)/(18t^(2))+c" "x^(2)dx=(dt)/(9)`
`=-(1)/(18(2+3x^(3))^(2))+c`