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

The integral from x to 2 of e^{-y^2} is 0.88208…-0.88622…\erf(x)

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

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

0.88208 \dots - 0.88622 \dots erf (x)

Solution steps

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

Compute the boundaries:

0.88208 \dots - 0.88622 \dots erf (x)

= 0.88208 \dots - 0.88622 \dots erf (x)

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What is the integral from x to 2 of e^{-y^2} ?
The integral from x to 2 of e^{-y^2} is 0.88208…-0.88622…\erf(x)