Integrals of Powers of Tangent and Cotangent

$$\int \tan x \, dx = \ln|\sec x| + C$$
For $$n\neq1$$:
$$\int \tan^n x \, dx = \frac{\tan^{n-1}x}{n-1} - \int \tan^{n-2}x \, dx + C$$
$$\int \cot x \, dx = \ln|\sin x| + C$$
For $$n\neq1$$:
$$\int \cot^n x \, dx = -\frac{\cot^{n-1}x}{n-1} + \int \cot^{n-2}x \, dx + C$$