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Homework Help: Finding the total area of the shaded region.

  1. Jan 24, 2012 #1
    1. The problem statement, all variables and given/known data

    http://img545.imageshack.us/img545/6260/hardproblem.png [Broken]

    2. Relevant equations

    1. First I solved for y
    2. I put it in the form f(x)-(g(x)
    3. Then I integrated

    3. The attempt at a solution

    The answer in my book says it is ∏/2.

    I don't think I'm integrating right. I end up with this towards the end

    http://img15.imageshack.us/img15/2431/hardproblem3rdstep.png [Broken]
    Last edited by a moderator: May 5, 2017
  2. jcsd
  3. Jan 24, 2012 #2


    Staff: Mentor

    What shaded region? There is nothing shaded. What is the verbal description of the region?
    No, that is incorrect. To confirm this fact, differentiate your result. If you don't get the original integrand, that's a clue that you're on the wrong track.

    There's a trig half-angle identity you can use to integrate that squared cosine.
    Last edited by a moderator: May 5, 2017
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