Calculus Examples

$\frac{1}{\tan (x)}$

Step 1

Simplify.

Tap for more steps...

Step 1.1

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

$\int \frac{1}{\frac{\sin (x)}{\cos (x)}} d x$

Step 1.2

Multiply by the reciprocal of the fraction to divide by $\frac{\sin (x)}{\cos (x)}$ .

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

Step 1.3

Convert from $\frac{\cos (x)}{\sin (x)}$ to $\cot (x)$ .

$\int \cot (x) d x$

Step 2

The integral of $\cot (x)$ with respect to $x$ is $\ln (| \sin (x) |)$ .

$\ln (| \sin (x) |) + C$