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

The integral from 0 to infinity of 3e^{-x/3} is 9

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 3e^{-x/3}

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

9

Solution steps

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

Compute the indefinite integral:

\int 3 e^{- \frac{x}{3}} d x = - 9 e^{- \frac{x}{3}} + C

Compute the boundaries:

\int_{0}^{\infty} 3 e^{- \frac{x}{3}} d x = 0 - (- 9)

= 0 - (- 9)

Simplify

= 9

\int_{0}^{π} (2 cos (x)) d x

\int_{0}^{\frac{π}{2}} (e^{x} - sin (x)) d x

\int_{4}^{6} arctan (\frac{4}{x}) d x

\int_{12}^{16} x^{2} - 6 d x

\int_{e}^{2 e} y ln (z) ln (2) d z

What is the integral from 0 to infinity of 3e^{-x/3} ?
The integral from 0 to infinity of 3e^{-x/3} is 9