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

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

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

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

0.88208 \dots

Solution steps

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

Use the nonelementary integral:

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

= [\frac{π}{2} erf (r)]_{0}^{2}

Compute the boundaries:

0.88208 \dots

= 0.88208 \dots

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