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

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

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

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

- cos (sin (x)) + C

Solution steps

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

Apply u-substitution

: \int sin (u) d u

= \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

y = 6 cos (π x), y = 8 x^{2} - 2, - 0.5, 0.5

\int \frac{1}{2 + 2 x} d x

\int sin (ln (13 x)) d x

f (x) = 2 x^{2} + 5 x, at x = - 3

\frac{d ^{2} h}{d t ^{2}} = - kh

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