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

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

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integral of sin(x)sin(y)

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

- sin (x) cos (y) + C

Solution steps

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

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

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

Use the common integral:

\int sin (y) d y = - cos (y)

= sin (x) (- cos (y))

Simplify

= - sin (x) cos (y)

Add a constant to the solution

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

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