Calculus Examples

$\int 1 + \cos (x) d x$

Step 1

Split the single integral into multiple integrals.

$\int d x + \int \cos (x) d x$

Step 2

Apply the constant rule.

$x + C + \int \cos (x) d x$

Step 3

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

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

Step 4

Simplify.

$x + \sin (x) + C$