Calculus Examples

$\int 4 \sin (x) \cos (x) d x$

Step 1

$\int 4 \sin (x) \cos (x) d x$ is an antiderivative of $4 \sin (x) \cos (x)$ , so by definition $\frac{d}{d x} [\int 4 \sin (x) \cos (x) d x]$ is $4 \sin (x) \cos (x)$ .

$4 \sin (x) \cos (x)$

Step 2

Reorder the factors of $4 \sin (x) \cos (x)$ .

$4 \cos (x) \sin (x)$