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 \int 1

\int_{0}^{π} \int_{0}^{π} cos (x + y) d x d y

\int_{π}^{2 π} \int_{0}^{π} (sin (x) + cos (y)) d x d y

\int_{0}^{\frac{2}{3}} \int_{y}^{2 - 2 y} (x + 2 y) e^{(y - x)} d x d y

\int \int (x + 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