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!

Find The Region

  1. Apr 14, 2009 #1
    Find the region enclosed by one leaf of the function r=2 sin2θ


    Now i know how the diagram looks like for this function.
    The diagram can be obtained by using :

    x= r cosθ = 2 sin2θ cosθ
    y= r sinθ = 2 sin2θ sinθ

    Now i have to find the region enclosed by one of the leaves which i am not able to do.
    I know i have to use the jacobian and also that i can use the above as cylindrical coordinates but what do i integrate? i dont know which function to integrate.

    Any Suggestions for that??

    thank you
     
  2. jcsd
  3. Apr 14, 2009 #2
    [tex]\frac{1}{2}\int r^{2} .d\theta[/tex]

    You can use that formula
     
  4. Apr 14, 2009 #3

    berkeman

    User Avatar

    Staff: Mentor

    Wouldn't it be [tex]\int r d\theta[/tex]

    I could be missing something of course...
     
  5. Apr 15, 2009 #4
    Is the half for finding each half of the region of the leaf?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Find The Region
Loading...