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

y = x^{2}, y = 2 - x, x = 0

f (x) = ln (\frac{e ^{x}}{1 + e ^{x}})

y = ln (\frac{3}{x})

n = 0 \sum \infty \frac{2}{n + 1}

arctan (x^{2} + x)

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