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

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

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

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

sin (sin (x)) + C

Solution steps

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

Apply u-substitution

: \int cos (u) d u

= \int cos (u) d u

Use the common integral:

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

= sin (u)

Substitute back

u = sin (x)

= sin (sin (x))

Add a constant to the solution

= sin (sin (x)) + C

x \to + 5 - lim (\frac{5}{( x - 5 ) ^{3}})

\int \frac{( 3 x + 5 ) ^{3}}{10} d x

\frac{d}{d u} (u^{3} - 5 u^{2} + \frac{7}{3 u ^{2}} + 6)

\frac{\partial}{\partial x} (10990 + 1120 x + 873 y)

5 x + 1

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