What is the integral of integral of sin(x+y) ?

The integral of integral of sin(x+y) is Cy-sin(x+y)+C

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integral of integral of sin(x+y)

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

C y - sin (x + y) + C

Solution steps

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

\int sin (x + y) d x = - cos (y + x) + C

= \int (- cos (y + x) + C) d y

\int (- cos (y + x) + C) d y = C y - sin (x + y) + C

= C y - sin (x + y) + C

What is the integral of integral of sin(x+y) ?
The integral of integral of sin(x+y) is Cy-sin(x+y)+C