find the area inside the cardioid r=1-sin theta and outside the circle r=1/2

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find the area inside the cardioid r=1-sin theta and outside the circle r=1/2

Mathematics
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you just want an answer?
I would definitely exploit the symmetry so you only have one definite integral
i wanted to c how to do it

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Other answers:

the integral you want is\[\int^{\frac{3\pi}{2}}_{\frac{5\pi}{6}}\left[\left[1-\sin\theta\right]^2-1^2\right]d\theta\]
i am exploiting the symmetry
it is best to sketch the region for these problems
sorry that 1 should be 1/2
and one of your limits should be pi/6
well
what is the lower limit then?
its pi/6
what is you upper limit then?
5pi/6
are you looking at the graph of the region?
if you use those limits you will capture the wrong area
hey i figured it out ty
cool
those are tricky, the iterated integrals in multi-variable are even more awesome
yah. oh do you think you can help me with graphing a problem u can see the problem if u click on this link http://www.twiddla.com/511680

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