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    mhameer's Avatar
    mhameer Posts: 1, Reputation: 1
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    #1

    Sep 20, 2009, 07:41 PM
    Integration Calculus
    Integrate the following with respect to x:

    sec(x) / cos(2x)
    Perito's Avatar
    Perito Posts: 3,139, Reputation: 150
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    #2

    Sep 20, 2009, 08:21 PM

    Try to simplify it using one of the following identities:





    then try to integrate the resultant.
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #3

    Sep 21, 2009, 04:22 AM


    This one is fairly difficult and not easily done by elementary means.
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    galactus Posts: 2,271, Reputation: 282
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    #4

    Sep 21, 2009, 08:48 AM
    As I said previously, this won't be pretty.



    One substitution we could make is to let

    Making the subs and converting to partial fractions gives us:



    Integrate term by term and resub.

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