Test the convergence of the integral Test the convergence of $$\int_0^\pi{\sqrt x\over \sin x}dx$$
I have to do it using comparison test. There is another test mentioned called the $\mu-test$ but its definition in the book doesn't seem right, cannot find it on the internet too. Is someone familiar with it ? It is a corollary of comparison test.

HINT Close to zero the integrand behaves as 

$$ \frac{\sqrt{x}}{x}$$

Since $\sin(x) \sim x$. Try to do similar analysis at the other end point.
