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Math Help - comparison test for improper intgral

  1. #1
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    comparison test for improper intgral

    hi!
    can someone tell me how do you choose the second function .
    thanks .

    integral sin ^2 x /2x^2 -1 dx from 1 to infinity .
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  2. #2
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    Does the integral \int_1^\infty  {\frac{1}{{2x^2  - 1}}dx} converge?
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