What is the integral of e^{-t^2} ?

The integral of e^{-t^2} is (sqrt(pi))/2 \erf(t)+C

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integral of e^{-t^2}

integral

e^{- t^{2}}

\frac{π}{2} erf (t) + C

Solution steps

\int 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)

Add a constant to the solution

= \frac{π}{2} erf (t) + C

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What is the integral of e^{-t^2} ?
The integral of e^{-t^2} is (sqrt(pi))/2 \erf(t)+C