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

The integral from-1 to 1 of e^{-x^2} is 1.49364…

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

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

1.49364 \dots

Solution steps

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

Compute the boundaries:

1.49364 \dots

= 1.49364 \dots

x \to 0 lim (x^{\frac{1}{l n ( x )}})

\int 3 cos (n) x d x

n = 1 \sum \infty \frac{2}{1 + e ^{n}}

\frac{d}{d x} (\frac{( x - 3 )}{x + 3})

\int_{0}^{4} (e^{- 0.25 x} + 5) d x

What is the integral from-1 to 1 of e^{-x^2} ?
The integral from-1 to 1 of e^{-x^2} is 1.49364…