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Evaluate int x^(2)e^(x^(2))(2x)dx...

Evaluate ` int x^(2)e^(x^(2))(2x)dx`

Text Solution

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`I= int x^(2)e^(x^(2))(2x)dx`
Let `x^(2)=t`
` :. I=int t e^(t)dt`
`=t*e^(t)-int 1*e^(t)dt`
`=t*e^(t)-e^(t)+c`
`=x^(2)*e^(x^(2))-e^(x^(2))+c`
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