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

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

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integral of e^{u^2}

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

\frac{π}{2} erfi (u) + C

Solution steps

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

Use the nonelementary integral:

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

= \frac{π}{2} erfi (u)

Add a constant to the solution

= \frac{π}{2} erfi (u) + C

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