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Integral with Trig Functions

  1. Aug 30, 2009 #1
    1. The problem statement, all variables and given/known data

    [PLAIN]http://integrals.wolfram.com/images/integral.gif(tan[x]^2*sec[x]^3)dx[/URL] [Broken]

    2. Relevant equations
    Whatever you need to complete problem


    3. The attempt at a solution
    This problem has given me so much grief. I have page loads of work but cant figure it out.
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Aug 30, 2009 #2

    tiny-tim

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    Welcome to PF!

    Hi recon_ind! Welcome to PF! :smile:

    tan2x sec3x = sec5x - sec3x …

    so start with ∫sec3x dx …

    use integration by parts (sec2x secx), and fiddle around with it.

    Then that should give you an idea for sec5x :wink:
     
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