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}

\int e^{- x^{2}} d x

\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

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

\frac{d}{d x} (x^{4} + 4 x^{3} - 2 x^{2} - 12 x)

\frac{d}{d x} (1 0^{- 2 x})

\int \frac{x ^{2}}{2 x - 1} d x

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