What is the integral of xe^{x-5} ?

The integral of xe^{x-5} is e^{x-5}x-e^{x-5}+C

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integral of xe^{x-5}

\int x e^{x - 5} d x

e^{x - 5} x - e^{x - 5} + C

Solution steps

\int x e^{x - 5} d x

Apply Integration By Parts

: e^{x - 5} x - \int e^{x - 5} d x

= e^{x - 5} x - \int e^{x - 5} d x

\int e^{x - 5} d x = e^{x - 5}

= e^{x - 5} x - e^{x - 5}

Add a constant to the solution

= e^{x - 5} x - e^{x - 5} + C

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What is the integral of xe^{x-5} ?
The integral of xe^{x-5} is e^{x-5}x-e^{x-5}+C