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

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