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Math Help - (probably simple) Comparison Theorem Q

  1. #1
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    (probably simple) Comparison Theorem Q

    Hi all, here is the question

    "Use the Comparison Theorem to determine whether the integral is convergent or divergent"

    integral of arctan(x) / (2 + e^x), limits of integration 0 to infinity

    thanks in advance
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  2. #2
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    What ideas have you had so far?
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  3. #3
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    tried using the integral of arctan(x) as a comparison, but that integral is divergent, so doesn't really help much
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  4. #4
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    True, the arctan has a divergent integral. But it's a very nicely behaved function on the interval from zero to infinity. It's even bounded. Could you use that fact, maybe?
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