What is the integral of integral of (x^2-y) ?

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

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integral of integral of (x^2-y)

\int \int (x^{2} - y) d x d y

C y + \frac{x ^{3}}{3} y - \frac{x y ^{2}}{2} + C

Solution steps

\int \int (x^{2} - y) d x d y

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

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

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

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

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