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Thread: Some more areas with polar stuff

  1. #1
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    Some more areas with polar stuff

    Sorry for spamming everybody, but I keep getting the wrong answer and I don't know what I'm doing wrong, or if I'm even doing it right in the first place!

    Find the area between a large loop and the enclosed small loop of the given curve.
    r = 1 + 2cos(3θ)


    aaaand this one:

    Find the area of the region that lies inside both curves.
    r = 6 + cos(θ)
    r = 6 - cos(θ)


    I love you for helping me!!!!
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  2. #2
    MHF Contributor
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    What was the nature of the integrals that you used? In particular, what were the limits of integration on $\displaystyle \theta$?

    For the second, same quesiton. The limits are very important. You must understand your curve.

    Note for Both: Please don't work harder than necessary. Exploit every possible symmetry.
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