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

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

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

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

0.88620 \dots

Solution steps

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

Use the nonelementary integral:

\int e^{- t^{2}} d t = \frac{π}{2} erf (t)

= [\frac{π}{2} erf (t)]_{0}^{3}

Compute the boundaries:

0.88620 \dots

= 0.88620 \dots

\int_{1}^{e} \frac{( 2 x ^{2} + 1 )}{2 x} d x

\int_{- 1}^{1} - x + 1 d x

\int_{0}^{π} (sec (x))^{2} d x

\int_{0}^{15} \frac{x}{( 1 + x ) ^{\frac{3}{4}}} d x

\int_{- 8}^{1} - x^{2} - 3 x d x

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