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Math Help - Comparison Theorem

  1. #1
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    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.
    Last edited by SyNtHeSiS; August 26th 2010 at 03:10 AM.
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  2. #2
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    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}.
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