What is the integral from-infinity to 0 of 4xe^{5x} ?

The integral from-infinity to 0 of 4xe^{5x} is -4/25

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integral from-infinity to 0 of 4xe^{5x}

\int_{- \infty}^{0} 4 x e^{5 x} d x

- \frac{4}{25}

Decimal

- 0.16

Solution steps

\int_{- \infty}^{0} 4 x e^{5 x} d x

Compute the indefinite integral:

\int 4 x e^{5 x} d x = \frac{4}{25} (5 e^{5 x} x - e^{5 x}) + C

Compute the boundaries:

\int_{- \infty}^{0} 4 x e^{5 x} d x = - \frac{4}{25} - 0

= - \frac{4}{25} - 0

Simplify

= - \frac{4}{25}

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What is the integral from-infinity to 0 of 4xe^{5x} ?
The integral from-infinity to 0 of 4xe^{5x} is -4/25