en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

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

Solution

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

Solution

1

Solution steps

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

\int_{0}^{\infty} e^{- x - y} d x = e^{- y}

= \int_{0}^{\infty} e^{- y} d y

\int_{0}^{\infty} e^{- y} d y = 1

= 1

Popular Examples

area y=x^3-5x,y=11x

limit as x approaches 8 of (8/x-1)/(x-8)

derivative of e^{-sqrt(x)}

limit as x approaches 8 of 1/(x-8)

tangent of 6/(x+4)

Frequently Asked Questions (FAQ)

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