Calculus Examples

$(\cos (x))$

Step 1

Write $(\cos (x))$ as a function.

$f (x) = (\cos (x))$

Step 2

The function $F (x)$ can be found by finding the indefinite integral of the derivative $f (x)$ .

$F (x) = \int f (x) d x$

Step 3

Set up the integral to solve.

$F (x) = \int \cos (x) d x$

Step 4

Remove parentheses.

$\int \cos (x) d x$

Step 5

The integral of $\cos (x)$ with respect to $x$ is $\sin (x)$ .

$\sin (x) + C$

Step 6

The answer is the antiderivative of the function $f (x) = \cos (x)$ .

$F (x) =$ $\sin (x) + C$