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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

a

Solution steps

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

Compute the indefinite integral:

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

Compute the boundaries:

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

= 0 - (- a)

Simplify

= a

\int_{- 1}^{3} (8 + 2 y - y^{2}) d y

\int_{1}^{2} 12 x^{2} d x

\int_{0}^{3} \frac{x ^{2}}{x ^{3} + 7} d x

\int_{0}^{3} \frac{1}{x ^{3} - x ^{2} - x + 1} d x

\int_{2}^{4} \frac{5}{x} - \frac{10}{x ^{2}} d x

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