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Integrate the following functions x^2e^x...

Integrate the following functions `x^2e^x`

Text Solution

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`int x^2 e^x dx = x^2 e^x- int 2x e^x dx`
=`x^2e^x-2 intx e^x dx`
=`x^2 e^x-2[x e^x- int 1xx e^x dx]`
=`x^2 e^x-2xe^x + 2 inte^x dx`
=`x^2 e^x-2xe^x + 2e^x+c`
=`(x^2-2x+2)e^x+c`
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