What is the integral of xe^{x-4} ?

The integral of xe^{x-4} is e^{x-4}x-e^{x-4}+C

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integral of xe^{x-4}

\int x e^{x - 4} d x

e^{x - 4} x - e^{x - 4} + C

Solution steps

\int x e^{x - 4} d x

Apply Integration By Parts

: e^{x - 4} x - \int e^{x - 4} d x

= e^{x - 4} x - \int e^{x - 4} d x

\int e^{x - 4} d x = e^{x - 4}

= e^{x - 4} x - e^{x - 4}

Add a constant to the solution

= e^{x - 4} x - e^{x - 4} + C

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\int \frac{x}{( 3 - x ^{2} ) ^{2}} d x

What is the integral of xe^{x-4} ?
The integral of xe^{x-4} is e^{x-4}x-e^{x-4}+C