What is the integral from 2 to 3 of e^{-x^2} ?

The integral from 2 to 3 of e^{-x^2} is 0.00412…

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integral from 2 to 3 of e^{-x^2}

\int_{2}^{3} e^{- x^{2}} d x

0.00412 \dots

Solution steps

\int_{2}^{3} 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)]_{2}^{3}

Compute the boundaries:

0.00412 \dots

= 0.00412 \dots

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What is the integral from 2 to 3 of e^{-x^2} ?
The integral from 2 to 3 of e^{-x^2} is 0.00412…