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Popular Calculus >

integral of [xe^x]

Solution

\int [x e^{x}] d x

Solution

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

Solution steps

\int x e^{x} d x

Apply Integration By Parts

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

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

= e^{x} x - e^{x}

Add a constant to the solution

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

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the integral of [xe^x] ?
The integral of [xe^x] is e^xx-e^x+C