What is the integral of integral of x^2+y^2 ?

The integral of integral of x^2+y^2 is Cy+(x^3)/3 y+(xy^3)/3+C

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integral of integral of x^2+y^2

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

C y + \frac{x ^{3}}{3} y + \frac{x y ^{3}}{3} + C

Solution steps

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

\int x^{2} + y^{2} d x = y^{2} x + \frac{x ^{3}}{3} + C

= \int (y^{2} x + \frac{x ^{3}}{3} + C) d y

\int (y^{2} x + \frac{x ^{3}}{3} + C) d y = C y + \frac{x ^{3}}{3} y + \frac{x y ^{3}}{3} + C

= C y + \frac{x ^{3}}{3} y + \frac{x y ^{3}}{3} + C

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

\int \int (x - y) d x d y

\int \int cos (x) d x d x

\int \int x + y d x d y

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

What is the integral of integral of x^2+y^2 ?
The integral of integral of x^2+y^2 is Cy+(x^3)/3 y+(xy^3)/3+C