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

The integral of integral of e^{x^2+y^2} is Cy+pi/4 \erfi(x)\erfi(y)+C

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integral of integral of e^{x^2+y^2}

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

C y + \frac{π}{4} erfi (x) erfi (y) + C

Solution steps

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

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

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

\int (e^{y^{2}} \frac{π}{2} erfi (x) + C) d y = C y + \frac{π}{4} erfi (x) erfi (y) + C

= C y + \frac{π}{4} erfi (x) erfi (y) + C

\int \int 2 x d x d x

\int \int e^{- (x^{2} + 4 y^{2})} d A

\int \int sin (x) d x d x

\int \int - \frac{1}{x} d x d x

\int_{- 2}^{2} \int_{0}^{4 - x^{2}} x^{2} + y^{2} d y d x

What is the integral of integral of e^{x^2+y^2} ?
The integral of integral of e^{x^2+y^2} is Cy+pi/4 \erfi(x)\erfi(y)+C