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

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

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integral of sin(sin(x))cos(x)

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

- cos (sin (x)) + C

Solution steps

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

Apply u-substitution

= \int sin (u) d u

Use the common integral:

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

= - cos (u)

Substitute back

u = sin (x)

= - cos (sin (x))

Add a constant to the solution

= - cos (sin (x)) + C

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