What is the integral from-infinity to 0 of 13xe^{3x} ?

The integral from-infinity to 0 of 13xe^{3x} is -13/9

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integral from-infinity to 0 of 13xe^{3x}

\int_{- \infty}^{0} 13 x e^{3 x} d x

- \frac{13}{9}

Decimal Notation

- 1.44444 \dots

Solution steps

\int_{- \infty}^{0} 13 x e^{3 x} d x

Compute the indefinite integral:

\int 13 x e^{3 x} d x = \frac{13}{9} (3 e^{3 x} x - e^{3 x}) + C

Compute the boundaries:

\int_{- \infty}^{0} 13 x e^{3 x} d x = - \frac{13}{9} - 0

= - \frac{13}{9} - 0

Simplify

= - \frac{13}{9}

f (x) = - 5 - 2 x^{2}, (- 3, - 23)

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\int sin (θ) e^{c o s (θ)} d θ

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What is the integral from-infinity to 0 of 13xe^{3x} ?
The integral from-infinity to 0 of 13xe^{3x} is -13/9