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Definite Integral of a Trig Fxn

  1. Sep 28, 2012 #1
    π/3
    ∫tan^5 x sec x
    0

    I want to split the tan^5 x into a (sec^2 x - 1) but I only have sec x. So I'm a bit stuck. Help is appreciated.
     
  2. jcsd
  3. Sep 28, 2012 #2

    ehild

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    Bring the integral in the form ∫f(cos(x))sin(x)dx.

    ehild
     
  4. Sep 28, 2012 #3

    SammyS

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    Finding the anti-derivative of tan5(x) sec(x) is a lot like solving your previous tread.

    Split tan5(x) into tan4(x) tan(x) then use the trig identity which will change tan4(x)  into a combination of secant functions.
     
  5. Sep 29, 2012 #4
    ^ That did the trick. Thank you : D
     
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