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Homework Help: Polar integration

  1. May 13, 2004 #1
    Find the area of the region common to [itex]r=4\sin\theta[/itex] and [itex]r=4\cos\theta[/itex]

    How can I find the limits of integration? I know one of the limits is pi/4 by setting r1 = r2 but I can't find the other one because it is different for each equation. The graph shows it intersecting at (0,0), but thats a different theta for each equation.
  2. jcsd
  3. May 14, 2004 #2


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    Science Advisor

    The easy way to do this is to use the symmetry. Integrate [itex]r= 4 sin(\theta)[/itex] for [itex] \theta[/itex]= 0 to [itex]\frac{\pi}{4}[/itex], then double it.
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