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

\int t e^{- t} d t

y^{^{''}} + 4 y^{^{'}} = - 6 x - 3

\frac{\partial}{\partial x} (- sin (x) cos (y))

n = 2 \sum \infty \frac{1}{( n ^{3} - n )}

\frac{d y}{d x} = \frac{1}{3} y (8 - y), y (0) = 1

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