Calculus Examples

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

Step 1

Remove parentheses.

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

Step 2

Split the single integral into multiple integrals.

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

Step 3

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

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

Step 4

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

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

Step 5

Simplify.

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