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Evaluate the integral: `int xe^-x dx`

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homeschool11 | Salutatorian

Posted May 2, 2012 at 12:07 AM via web

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Evaluate the integral:

`int xe^-x dx`

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hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted May 2, 2012 at 2:53 AM (Answer #1)

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`int xe^-x dx `

We know that:

`int xe^(ax) dx = (x/a -1/a^2)e^(ax) `

`==gt int xe^(-x) dx `

`= (x/(-1) - 1/(-1^2))e^(-x) + C `

`= (-x -1)e^-x + C `

`= -(x+1)e^(-x) + C `

`= -(x+1)/e^x + C`

 

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