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

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

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integral of sin(x)cos(c)

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

- cos (c) cos (x) + C

Solution steps

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

Take the constant out:

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

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

Use the common integral:

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

= cos (c) (- cos (x))

Simplify

= - cos (c) cos (x)

Add a constant to the solution

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

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