Calculus Examples

$\int \sin (2 x) \cos^{2} (x) d x$

Step 1

$\int \sin (2 x) \cos^{2} (x) d x$ is an antiderivative of $\sin (2 x) \cos^{2} (x)$ , so by definition $\frac{d}{d x} [\int \sin (2 x) \cos^{2} (x) d x]$ is $\sin (2 x) \cos^{2} (x)$ .

$\sin (2 x) \cos^{2} (x)$

Step 2

Reorder the factors of $\sin (2 x) \cos^{2} (x)$ .

$\cos^{2} (x) \sin (2 x)$