Expert answers to "How do you integrate y=xe−x?"

Concepcion Hale

Answered question

2021-12-19

How do you integrate

y = x e^{- x}

xandir307dc

Beginner2021-12-20Added 35 answers

Explanation:

\int d x x e^{- x}

IBP:

\int u v^{'} = u v - \int u^{'} v

here

u = x, u^{'} = 1

v^{'} = e^{- x}, v = - e^{- x}

- x e^{- x} - \int d x (- e^{- x})

= - x e^{- x} - (e^{- x}) + C

= - e^{- x} (x + 1) + C

censoratojk

Beginner2021-12-21Added 46 answers

\int x e^{- x} d x

u = x, d v = e^{- x}, d x \Rightarrow d v = d x

v = - e^{- x}

= - x e^{- x} + \int e^{- x} d x

= - x e^{- x} - e^{- x} + C

RizerMix

Expert2021-12-29Added 656 answers

Thanks guys, without your help, I would have failed the test

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