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Math Help - Limacon Area

  1. #1
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    Limacon Area

    Find the area inside the larger loop and outside the smaller loop of the limacon . I'm having trouble visualizing this ann setting up the integral.
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by andrewsx View Post
    Find the area inside the larger loop and outside the smaller loop of the limacon . I'm having trouble visualizing this ann setting up the integral.
    Here's the graph:



    Can you try to set up the integral now?

    --Chris
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  3. #3
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    Limaconn

    I'm going to try this one as well. Since the polar graph goes around 2pi

    then the inntegral from 0 to 2pi of (1/2+cosx)^2/2 -2*integral(2pi/3to4pi/3) (1/2+cosx)^2/2?

    The 2* integral comes from the fact that you have to subtract the inner loop twice since it went around twice initially.

    Verify anyone?
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