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x^(2) e^(x)...

`x^(2) e^(x)`

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` " Let I=" int x^(2) e^(x) dx`
`I=x^(2) int e^(x) dx- int [(d)/(dx)(x^(2)) int e^(x) dx]dx`
`=x^(2)e^(x) -int (2xe^(2))dx`
` rArr I= x^(2) e^(x) -{ 2x int e^(x) dx-2 int [(d)/(dx)(x) int e^(x) dx ] dx }`
`=x^(2) e^(x) -2xe^(x) +2 int e^(x) dx`
`=x^(2)e^(x) -2xe^(x) +2e^(x) +C`
`rArr I=e^(x)(x^(2)-2x+2)+C`
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