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

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

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integral of e^{-y^2}

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

\frac{π}{2} erf (y) + C

Solution steps

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

Use the nonelementary integral:

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

= \frac{π}{2} erf (y)

Add a constant to the solution

= \frac{π}{2} erf (y) + C

y = \frac{2}{x}, (- 3, - \frac{2}{3})

\frac{d}{d x} (- x^{3} + 3 x^{2} + 4)

y^{^{'}} y^{^{''}} = 2

e^{- 2 t} (3 t)^{2}

\frac{d}{d x} ((f (x) (3 x))^{2} + 5)

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