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

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

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integral of-sin(x)sin(y)

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

sin (y) cos (x) + C

Solution steps

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

Take the constant out:

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

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

Use the common integral:

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

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

Simplify

= sin (y) cos (x)

Add a constant to the solution

= sin (y) cos (x) + C

\int \frac{d}{1} (tan (x)) d x

\int 5 sin (2 x) e^{x} d x

\int \frac{( ln ( x ) ) ^{2}}{4 x ^{3}} d x

\int \frac{3 x ^{3}}{x ^{4} - 1} d x

\int \frac{1}{x ^{4} + 3 x ^{2} + 2} d x

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