What is the integral of e^{x*x} ?

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

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integral of e^{x*x}

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

\frac{π}{2} erfi (x) + C

Solution steps

\int e^{xx} d x

Simplify

xx : x^{2}

= \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

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