Inside the cardioid r=2(1+sin(theta)) and outside the circle r=2sin(theta)
A= ∫ (from a..b) 1/2 f(θ) 2 dθ
The Attempt at a Solution
A= 2∫(from π/2..3π/2) 1/2 [2(1+sin(θ)]2 dθ- 2∫(from0..π/2) 1/2 (2sinθ)2dθ
after working that out i got the answer to be 5pi.
i need a verification for my answer because it is an even problem in the book and i'm studying for my test.