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

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - \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 x^{- 3} + x^{- 2} d x

1 + x

\frac{\partial}{\partial z} (z e^{x yz})

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

\frac{\partial}{\partial y} ((x + y)^{3} - 12 x y)

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