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

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

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

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

\frac{1}{7}

Decimal Notation

0.14285 \dots

Solution steps

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

Compute the indefinite integral:

\int e^{7 x} d x = \frac{1}{7} e^{7 x} + C

Compute the boundaries:

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

= \frac{1}{7} - 0

Simplify

= \frac{1}{7}

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