1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    Mark44

    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
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Finding the total area of the shaded region.
Loading...