What is the integral from-infinity to 0 of e^{6x} ?

The integral from-infinity to 0 of e^{6x} is 1/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-infinity to 0 of e^{6x}

\int_{- \infty}^{0} e^{6 x} d x

\frac{1}{6}

Decimal

0.16666 \dots

Solution steps

\int_{- \infty}^{0} e^{6 x} d x

Compute the indefinite integral:

\int e^{6 x} d x = \frac{1}{6} e^{6 x} + C

Compute the boundaries:

\int_{- \infty}^{0} e^{6 x} d x = \frac{1}{6} - 0

= \frac{1}{6} - 0

Simplify

= \frac{1}{6}

\frac{\partial}{\partial y} (2 x y^{2} + \frac{x}{y ^{2}})

\frac{d}{d x} (ln (5^{x}))

\frac{\partial}{\partial x} (\frac{- 4}{x + y})

y = \frac{1}{7 x ^{\frac{6}{7}}}

x \to 0 lim (\frac{6 x}{sin ( x )})

What is the integral from-infinity to 0 of e^{6x} ?
The integral from-infinity to 0 of e^{6x} is 1/6