A calculus and geometric question. The area bounded by the small loop of the limacon r=1-2sinθ is given by the definite integral. The answer given is ∫(1-2sinθ)^2 dθ with a lower limit of pi/6 and an upper limit of pi/2. I know how to work out the limits but I can't get the result of (1-2sinθ)^2. Help!

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anonymous · Answer

http://answers.yahoo.com/question/index?qid=20070416203641AAuWm4S

anonymous · Answer

i forgot how to calculate the region bounded by polar curve. It's important to remember the expression: A=∫1/2*r^2dθ