What is the integral from 1 to 5 of xe^x ?

The integral from 1 to 5 of xe^x is 4e^5

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integral from 1 to 5 of xe^x

\int_{1}^{5} x e^{x} d x

4 e^{5}

Decimal

593.65263 \dots

Solution steps

\int_{1}^{5} x e^{x} d x

Apply Integration By Parts

= [e^{x} x - \int e^{x} d x]_{1}^{5}

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

= [e^{x} x - e^{x}]_{1}^{5}

Compute the boundaries:

4 e^{5}

= 4 e^{5}

What is the integral from 1 to 5 of xe^x ?
The integral from 1 to 5 of xe^x is 4e^5