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

The integral from-infinity to 0 of e^{3x} is 1/3

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

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

\frac{1}{3}

Decimal

0.33333 \dots

Solution steps

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

Compute the indefinite integral:

\int e^{3 x} d x = \frac{1}{3} e^{3 x} + C

Compute the boundaries:

\int_{- \infty}^{0} e^{3 x} d x = \frac{1}{3} - 0

= \frac{1}{3} - 0

Simplify

= \frac{1}{3}

\int \frac{1}{u - 1} d u

\int_{10}^{5} 3 x d x

(- 6, 9), (7, - 9)

\frac{\partial}{\partial x} (x ln (x + 2 y + 3 z))

\frac{d}{d x} (\frac{csc ( 3 x )}{x ^{3} + 1})

What is the integral from-infinity to 0 of e^{3x} ?
The integral from-infinity to 0 of e^{3x} is 1/3