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

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

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integral of integral of (x^2+2y)

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

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

Solution steps

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

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

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

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

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

\int \int 3 x d x d x

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\int \int 8 x^{3} + 2 y^{2} d y d x

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