Calculus Examples

$\int \tan (x) \cos (x) d x$

Rewrite in terms of sines and cosines, then cancel the common factors.

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Rewrite $\tan (x) \cos (x)$ in terms of sines and cosines.

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

Cancel the common factors.

$\int \sin (x) d x$

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

$- \cos (x) + C$