What is the integral of e^{z^2} ?

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

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integral of e^{z^2}

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

\frac{π}{2} erfi (z) + C

Solution steps

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

Use the nonelementary integral:

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

= \frac{π}{2} erfi (z)

Add a constant to the solution

= \frac{π}{2} erfi (z) + C

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