Posted by Cole on Monday, June 24, 2013 at 7:15pm.
Find the area shared by the cardioids r=6(1+cos(theta)) and r=6(1cos(theta))

Math  Steve, Tuesday, June 25, 2013 at 10:10am
The curves intersect when θ= π/2,3π/2
By symmetry, then the area is
a = 2∫[π/2,3π/2] 1/2 (6(1cosθ))^2 dθ
= 36∫[π/2,3π/2] 1  2cosθ + cos^2θ dθ
= 9(6θ8sinθ+sin2θ) [π/2,3π/2]
= 4 + 3π/2
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