What is the integral of (e^{x^2}) ?

The integral of (e^{x^2}) is (sqrt(pi))/2 \erfi(x)+C

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integral of (e^{x^2})

\int (e^{x^{2}}) d x

\frac{π}{2} erfi (x) + C

Solution steps

\int e^{x^{2}} d x

Use the nonelementary integral:

\int e^{x^{2}} d x = \frac{π}{2} erfi (x)

= \frac{π}{2} erfi (x)

Add a constant to the solution

= \frac{π}{2} erfi (x) + C

y = (2 x + 1) (x - 2)^{3}

\frac{\partial}{\partial x} ((1 - e^{- x}) (1 - e^{- y}))

- csc^{2} (x)

\frac{d y}{d x} = 9 x + y - 9

\int \frac{4 y ^{2} - 6 y + x + 2}{x}

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