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

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

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integral of cos(y)sin(x)

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

- cos (y) cos (x) + C

Solution steps

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

Take the constant out:

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

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

Use the common integral:

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

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

Simplify

= - cos (y) cos (x)

Add a constant to the solution

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

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

x \to 0 lim (\frac{sin ( 9 x )}{x})

(2 x y + 3 y^{2}) d x - (2 x y + x^{2}) d y = 0

\int \frac{1}{( x ^{2} + z ^{2} ) ^{\frac{3}{2}}} d x

\int \frac{10 x - 17}{x ^{2} - 6 x - 55} d x

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