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

The integral from y to 1 of e^{-x^2} is 0.74682…-0.88622…\erf(y)

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

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

0.74682 \dots - 0.88622 \dots erf (y)

Solution steps

\int_{y}^{1} 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)]_{y}^{1}

Compute the boundaries:

0.74682 \dots - 0.88622 \dots erf (y)

= 0.74682 \dots - 0.88622 \dots erf (y)

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What is the integral from y to 1 of e^{-x^2} ?
The integral from y to 1 of e^{-x^2} is 0.74682…-0.88622…\erf(y)