Question
I am looking for a comparison to test the convergence of the integral.
$$\int_0^{\frac{\pi}2} \frac{1}{\cos(x)^{0.5}} \mathrm dx$$
Attempt
I can see that this integral should be bounded above by the integral over the exact limits of $\frac{1}{\cos(x)}$, but I'm unsure of how this comparison helps me or if this is even the best choice to make in this case.