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

The integral from-1 to 2 of e^{-x^2} is 1.62890…

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

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

1.62890 \dots

Solution steps

\int_{- 1}^{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)]_{- 1}^{2}

Compute the boundaries:

1.62890 \dots

= 1.62890 \dots

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What is the integral from-1 to 2 of e^{-x^2} ?
The integral from-1 to 2 of e^{-x^2} is 1.62890…