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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Find the Antiderivative e^(x^2)

integral

e^{x^{2}}

\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

sec^{2} (x)

\frac{1}{x}

e^{2 x}

x

arctan (x)

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