The boundaries of doule integrals in polar form

winbacker
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Hi I need to use a double integral to find the area of the region bounded by:

r = 3 + 3sinQ where Q = theta.

I know the bounds of the inner integral are from 0 to 3 + 3sinQ.

However, I do not know how to determine the bounds of the outer integral.

Any help would be greatly appreciated.
 
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Ok this seems to be a cardioid. What you found were the boundaries of r. So Where is the problem of finding theta? Just graph it. If all else fails plug in some values of theta.
 

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