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

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

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

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

sin (sin (x)) + C

Solution steps

\int cos (sin (x)) cos (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

\int - 2 - x d x

f (x) = 4 - x, x = - 2, x = 6, x

x f (x)

\int (cos (x) + sec^{2} (x)) d x

\int_{0}^{3} (5 x - x^{2}) d x

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