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

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

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

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

- \frac{1}{3}

Decimal Notation

- 0.33333 \dots

Solution steps

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

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

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

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

= - \frac{1}{3}

\int_{0}^{\frac{π}{4}} (cos (x)) d x

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\int_{0}^{5} \frac{1}{25} x d x

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