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Math Help - value of definite integral

  1. #1
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    value of definite integral

    definite integral (cos x)/(1+x^6) limit from 9 to 18
    is
    < 3^-10

    > 3^-10

    > 3^12

    < 3^-12
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Denote:

    I=\displaystyle\int_9^{18}\dfrac{\cos x}{1+x^6}dx

    Then,

    \left |{I}\right |\leq \displaystyle\int_9^{18}\dfrac{|\cos x|}{1+x^6}dx \leq \displaystyle\int_9^{18}\dfrac{1}{x^6}dx \leq\displaystyle\int_9^{18}\dfrac{1}{9^6}dx=\ldot  s

    etc.

    Regards.

    Fernando Revilla
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