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

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

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

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

0.88620 \dots

Solution steps

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

Compute the boundaries:

0.88620 \dots

= 0.88620 \dots

\int_{0}^{3} x (x - 3) (x - 1) d x

\int_{0}^{2} \frac{x ^{2}}{x ^{2} + 1} d x

\int_{1}^{2} 1 + \frac{9 x}{4} d x

\int_{- 1}^{2} (y^{2} - y - 2) d y

\int_{0}^{\infty} \frac{5}{x ^{2} + 6} d x

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