What is the integral from 0 to infinity of e^{-x/4} ?

The integral from 0 to infinity of e^{-x/4} is 4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 0 to infinity of e^{-x/4}

\int_{0}^{\infty} e^{- \frac{x}{4}} d x

4

Solution steps

\int_{0}^{\infty} e^{- \frac{x}{4}} d x

Compute the indefinite integral:

\int e^{- \frac{x}{4}} d x = - 4 e^{- \frac{x}{4}} + C

Compute the boundaries:

\int_{0}^{\infty} e^{- \frac{x}{4}} d x = 0 - (- 4)

= 0 - (- 4)

Simplify

= 4

What is the integral from 0 to infinity of e^{-x/4} ?
The integral from 0 to infinity of e^{-x/4} is 4