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Math Help - Determining whether an improper integral converges or diverges

  1. #1
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    Determining whether an improper integral converges or diverges

    Hello,
    can you plaese halp me with this problem?
    I need to determine whether the definite integral of dx/(1+x2sin2(x)), x from 0 to infinity, converges or diverges.
    Thank you very much!
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  2. #2
    Super Member girdav's Avatar
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    Re: Determining whether an improper integral converges or diverges

    I didn't think a lot about the problem, but it seems you have to study the convergence of the series \sum_{n=0}^{+\infty}a_n where a_n=\int_0^{\pi}\frac{dt}{1+(n\pi+t)^2\sin^2tdt}.
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