What is the integral from 0 to 3 of e^{-x^2} ?

The integral from 0 to 3 of e^{-x^2} is 0.88620…

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integral from 0 to 3 of e^{-x^2}

\int_{0}^{3} e^{- x^{2}} d x

0.88620 \dots

Solution steps

\int_{0}^{3} 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)]_{0}^{3}

Compute the boundaries:

0.88620 \dots

= 0.88620 \dots

x \to π lim (ln (cos (x) - 3))

\int y^{2} z + 2 x z^{2} d x

\frac{2}{x}

\int (- 4 sin (2 t)) d t

x \to 0 - lim (\frac{x ^{2}}{7} - \frac{6}{x})

What is the integral from 0 to 3 of e^{-x^2} ?
The integral from 0 to 3 of e^{-x^2} is 0.88620…