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…

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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

\frac{\partial}{\partial x} (x^{0.5} + y)

\frac{d}{d x} (4 x^{3} - 10 x^{2})

(4 x^{2})^{^{'}}

\frac{\partial}{\partial x} (e^{- (x - y)^{2}})

\int \frac{x}{x ^{2} + 2} d x

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…