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

3 x

h \to 0 lim (\frac{h ^{2} + 2 h}{h})

\frac{\partial}{\partial x} (x^{2} y^{2} - y^{3} + 3 x^{4} + 5)

\int_{0}^{4} 10 x d x

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