What is the integral from-infinity to 4 of θe^θ ?

The integral from-infinity to 4 of θe^θ is 3e^4

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integral from-infinity to 4 of θe^θ

\int_{- \infty}^{4} θ e^{θ} d θ

3 e^{4}

Decimal Notation

163.79445 \dots

Solution steps

\int_{- \infty}^{4} θ e^{θ} d θ

Compute the indefinite integral:

\int θ e^{θ} d θ = e^{θ} θ - e^{θ} + C

Compute the boundaries:

\int_{- \infty}^{4} θ e^{θ} d θ = 3 e^{4} - 0

= 3 e^{4} - 0

Simplify

= 3 e^{4}

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What is the integral from-infinity to 4 of θe^θ ?
The integral from-infinity to 4 of θe^θ is 3e^4