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

x^{3}, 1

(1 + t^{2}) \frac{d y}{d t} + 4 t y = (1 + t^{2})^{- 2}

x \to \infty + lim (e^{x})

\int_{0}^{3} 0.2 e^{- 0.2 x} d x

\int 20 sin^{2} (x co) s^{2} x d x

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