What is the integral from-infinity to 0 of xe^{7x} ?

The integral from-infinity to 0 of xe^{7x} is -1/49

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integral from-infinity to 0 of xe^{7x}

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

- \frac{1}{49}

Decimal Notation

- 0.02040 \dots

Solution steps

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

Compute the indefinite integral:

\int x e^{7 x} d x = \frac{1}{49} (e^{7 x} \cdot 7 x - e^{7 x}) + C

Compute the boundaries:

\int_{- \infty}^{0} x e^{7 x} d x = - \frac{1}{49} - 0

= - \frac{1}{49} - 0

Simplify

= - \frac{1}{49}

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What is the integral from-infinity to 0 of xe^{7x} ?
The integral from-infinity to 0 of xe^{7x} is -1/49