What is the integral from 0 to 7 of xe^x ?

The integral from 0 to 7 of xe^x is 6e^7+1

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integral from 0 to 7 of xe^x

\int_{0}^{7} x e^{x} d x

6 e^{7} + 1

Decimal

6580.79895 \dots

Solution steps

\int_{0}^{7} x e^{x} d x

Apply Integration By Parts

: [e^{x} x - \int e^{x} d x]_{0}^{7}

= [e^{x} x - \int e^{x} d x]_{0}^{7}

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

= [e^{x} x - e^{x}]_{0}^{7}

Compute the boundaries:

6 e^{7} + 1

= 6 e^{7} + 1

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What is the integral from 0 to 7 of xe^x ?
The integral from 0 to 7 of xe^x is 6e^7+1