What is the integral of e^{-s^2} ?

The integral of e^{-s^2} is (sqrt(pi))/2 \erf(s)+C

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integral of e^{-s^2}

\int e^{- s^{2}} d s

\frac{π}{2} erf (s) + C

Solution steps

\int e^{- s^{2}} d s

Use the nonelementary integral:

\int e^{- s^{2}} d s = \frac{π}{2} erf (s)

= \frac{π}{2} erf (s)

Add a constant to the solution

= \frac{π}{2} erf (s) + C

h \to 0 lim (\frac{2. 7 ^{h} - 1}{h})

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

\int \frac{1}{- x ^{2} + 12 x - 32} d x

\frac{\partial}{\partial x} (2 y + x e^{x y})

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

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