Integrales indefinidas semi inmediatas

Calcúlese $$\displaystyle \int\,\text{cotan}(x)\,dx$$

$$\displaystyle \int\,\text{cotan}(x)\,dx=\int\,\dfrac{\cos(x)}{\sin(x)}\,dx=\int\,\dfrac{d(\sin(x))}{\sin(x)}=\ln(|\sin(x)|)+C$$ $\diamond$