What is the integral of e^{-x/(20)} ?

The integral of e^{-x/(20)} is -20e^{-x/(20)}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of e^{-x/(20)}

\int e^{- \frac{x}{20}} d x

- 20 e^{- \frac{x}{20}} + C

Solution steps

\int e^{- \frac{x}{20}} d x

Apply u-substitution

: \int - 20 e^{u} d u

= \int - 20 e^{u} d u

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 20 \cdot \int e^{u} d u

Use the common integral:

\int e^{u} d u = e^{u}

= - 20 e^{u}

Substitute back

u = - \frac{x}{20}

= - 20 e^{- \frac{x}{20}}

Add a constant to the solution

= - 20 e^{- \frac{x}{20}} + C

\int \frac{4 + u}{u} d u

\frac{d}{d x} ((9 x^{4} + 5)^{3})

y = \frac{1}{x + \frac{1}{x + 1}}

\frac{d}{d x} ((3 x)^{- 4})

8 e^{x} + x

What is the integral of e^{-x/(20)} ?
The integral of e^{-x/(20)} is -20e^{-x/(20)}+C