1. May 25, 2009 #1

   ZuzooVn

   

   Help me Evaluate the iterated intergal by converting to polar coordinate:
   
   
   http://www.ziddu.com/gallery/4894419/Untitled.jpg.html

    

   ZuzooVn, May 25, 2009
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3. May 25, 2009 #2

   tiny-tim

   

   Science Advisor

   Homework Helper

   hmm … that's [tex]\int_0^2\int_0^{\sqrt{2x-x^2}}\sqrt{x^2+y^2} dxdy[/tex]
   
   ok … I assume you know how to convert dxdy into r and θ
   
   and for the limits, convert y² ≤ 2x - x² into r and θ also

    

   tiny-tim, May 25, 2009
4. May 25, 2009 #3

   ZuzooVn

   

   0≤y≤1
   0≤x≤2
   0≤r≤2
   0≤θ≤ pi/2
   

    

   ZuzooVn, May 25, 2009
5. May 25, 2009 #4

   tiny-tim

   

   Science Advisor

   Homework Helper

   (have a pi: π )
   
   No, the upper limit of r will depend on θ.
   
   I repeat … convert y² ≤ 2x - x² into r and θ

    

   tiny-tim, May 25, 2009

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