Calculus Examples

$\int 9 \sin^{2} (x) \cos^{3} (x) d x$

Step 1

$\int 9 \sin^{2} (x) \cos^{3} (x) d x$ is an antiderivative of $9 \sin^{2} (x) \cos^{3} (x)$ , so by definition $\frac{d}{d x} [\int 9 \sin^{2} (x) \cos^{3} (x) d x]$ is $9 \sin^{2} (x) \cos^{3} (x)$ .

$9 \sin^{2} (x) \cos^{3} (x)$

Step 2

Reorder the factors of $9 \sin^{2} (x) \cos^{3} (x)$ .

$9 \cos^{3} (x) \sin^{2} (x)$