What is the integral from 0 to 5 of e^{-x^2} ?

The integral from 0 to 5 of e^{-x^2} is 0.88622…

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integral from 0 to 5 of e^{-x^2}

\int_{0}^{5} e^{- x^{2}} d x

0.88622 \dots

Solution steps

\int_{0}^{5} 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}^{5}

Compute the boundaries:

0.88622 \dots

= 0.88622 \dots

\int_{- 3}^{1} (e^{x + 3}) d x

\int_{- 1}^{1} 2 x^{2} - 3 d x

\int_{- 1}^{2} 4 t^{2} + 5 d t

\int_{0}^{2} 6 x (4 - x) d x

\int_{a}^{1} x^{p} ln (x) d x

What is the integral from 0 to 5 of e^{-x^2} ?
The integral from 0 to 5 of e^{-x^2} is 0.88622…