What is the integral from 0 to 1 of e^{-y^2} ?

The integral from 0 to 1 of e^{-y^2} is 0.74682…

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integral from 0 to 1 of e^{-y^2}

\int_{0}^{1} e^{- y^{2}} d y

0.74682 \dots

Solution steps

\int_{0}^{1} e^{- y^{2}} d y

Use the nonelementary integral:

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

= [\frac{π}{2} erf (y)]_{0}^{1}

Compute the boundaries:

0.74682 \dots

= 0.74682 \dots

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\int_{0}^{2} \frac{1}{25 - x ^{2}} d x

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What is the integral from 0 to 1 of e^{-y^2} ?
The integral from 0 to 1 of e^{-y^2} is 0.74682…