# Math Help - Comparison Theorem

1. ## Comparison Theorem

Use the Comparison Theorem to determine whether the integral is convergent/divergent: $\int_{0}^{1} \frac{sec^{2}x}{x\sqrt{x}} dx$

I dont know which basic function to compare it to. I tried comparing it to 1/x but that didnt work out.

2. The secant function is bounded on the interval, so the convergence doesn't depend on that function. Close to zero, the numerator looks like 1. So I would compare the integrand to the function $x^{-3/2}.$