Calculus Examples

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

Step 1

Split the single integral into multiple integrals.

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

Step 2

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

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

Step 3

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

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

Step 4

Simplify.

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