What is the integral of integral of xsin(y) ?

The integral of integral of xsin(y) is Cy-(x^2)/2 cos(y)+C

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integral of integral of xsin(y)

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

C y - \frac{x ^{2}}{2} cos (y) + C

Solution steps

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

\int x sin (y) d x = \frac{1}{2} x^{2} sin (y) + C

= \int (\frac{1}{2} x^{2} sin (y) + C) d y

\int (\frac{1}{2} x^{2} sin (y) + C) d y = C y - \frac{x ^{2}}{2} cos (y) + C

= C y - \frac{x ^{2}}{2} cos (y) + C

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