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

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

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integral of e^{-x^2}

integral

e^{- x^{2}}

\frac{π}{2} erf (x) + C

Solution steps

\int 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)

Add a constant to the solution

= \frac{π}{2} erf (x) + C

x e^{x}

y = x^{- \frac{2}{3}}

f (x) = e^{x}

f (x) = x, at x = 1

y = 2^{x}

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