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Integrate w.r.t. x , x^2e^(3x)...

Integrate w.r.t. `x , x^2e^(3x)`

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`int x^(2).e^(3x)dx=x^(2)int e^(3x)dx-int [(d)/(dx)(x^(2))int e^(3x)dx]dx`
`=x^(2).(e^(3x))/(3)-int 2x.(e^(3x))/(3)dx`
`=(1)/(3)x^(2).e^(3x)-(2)/(3)[x int e^(3x)dx-int {(d)/(dx)(x)int e^(3x)dx}dx]`
`=(1)/(3)x^(2).e^(3x)-(2)/(3)[x.(e^(3x))/(3)-int 1.(e^(3x))/(3)dx]`
`=(1)/(3)x^(2).e^(3x)-(2)/(9)x.e^(3x)+(2)/(9)int e^(3x)dx`
`=(1)/(3)x^(2).e^(3x)-(2)/(9)x.e^(3x)+(2)/(9).(e^(3x))/(3)+c`
`=e^(3x)/(3)[x^(2)-(2x)/(3)+(2)/(9)]+c`
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