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

The integral from 1 to 4 of xe^x is 3e^4

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integral from 1 to 4 of xe^x

\int_{1}^{4} x e^{x} d x

3 e^{4}

Decimal Notation

163.79445 \dots

Solution steps

\int_{1}^{4} x e^{x} d x

Apply Integration By Parts

: [e^{x} x - \int e^{x} d x]_{1}^{4}

= [e^{x} x - \int e^{x} d x]_{1}^{4}

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

= [e^{x} x - e^{x}]_{1}^{4}

Compute the boundaries:

3 e^{4}

= 3 e^{4}

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What is the integral from 1 to 4 of xe^x ?
The integral from 1 to 4 of xe^x is 3e^4