What is the integral from 0 to 2 of e^{-x^2} ?

The integral from 0 to 2 of e^{-x^2} is 0.88208…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 0 to 2 of e^{-x^2}

\int_{0}^{2} e^{- x^{2}} d x

0.88208 \dots

Solution steps

\int_{0}^{2} e^{- x^{2}} d x

Use the nonelementary integral:

\int e^{- x^{2}} d x = \frac{π}{2} erf (x)

= [\frac{π}{2} erf (x)]_{0}^{2}

Compute the boundaries:

0.88208 \dots

= 0.88208 \dots

What is the integral from 0 to 2 of e^{-x^2} ?
The integral from 0 to 2 of e^{-x^2} is 0.88208…