integral dari x cot x cosec x dx

\int x cot(x)csc(x) dx
[tex] = - x \frac{1}{ \sin(x) } - \int - \frac{1}{ \sin(x) } dx[/tex]
[tex]= - x \frac{1}{ \sin(x) } - ( - ln | \tan( \frac{x}{2} ) | )[/tex]
[tex]= - x \frac{1}{ \sin(x) } - ( - ln | \tan( \frac{x}{2} ) | ) + c[/tex]