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

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

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integral of e^{y^2}

integral

e^{y^{2}}

\frac{π}{2} erfi (y) + C

Solution steps

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

Use the nonelementary integral:

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

= \frac{π}{2} erfi (y)

Add a constant to the solution

= \frac{π}{2} erfi (y) + C

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