What is the integral of integral of 2xy^3 ?

The integral of integral of 2xy^3 is Cx+(y^4x^2)/4+C

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integral of integral of 2xy^3

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

C x + \frac{y ^{4} x ^{2}}{4} + C

Solution steps

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

\int 2 x y^{3} d y = \frac{x y ^{4}}{2} + C

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

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

= C x + \frac{y ^{4} x ^{2}}{4} + C

\int \int (4 x + 2) d x d y

\int \int cos (3 x + 2 y) d y d x

\int \int \frac{1}{x ^{2}} d x d x

\int \int cos (x + y) d x d y

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

What is the integral of integral of 2xy^3 ?
The integral of integral of 2xy^3 is Cx+(y^4x^2)/4+C