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Converting polar to cartesian coordinates

  1. Feb 16, 2012 #1
    1. The problem statement, all variables and given/known data

    Screenshot2012-02-16at15012AM.png

    2. Relevant equations

    Screenshot2012-02-16at15136AM.png

    3. The attempt at a solution

    Do you see that 2 between A and the integral? There's no 2 in the above equation. I don't see where that 2 came from. Everything else is fine.
     
  2. jcsd
  3. Feb 16, 2012 #2
    The 2 comes from the symmetry. 0 to pi/4 on the sine circle is only calculating the bottom-right half of the area.
     
  4. Feb 16, 2012 #3
    because if you just did it with no 2*the integral then you would only get the area of half of your region
     
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