Calculus Examples

$\int \frac{\sin (x) \cos (x)}{x} d x$

Step 1

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

$\frac{\sin (x) \cos (x)}{x}$

Step 2

Reorder terms.

$\frac{\cos (x) \sin (x)}{x}$