Asked by ji

r = 4 + 3 sin 𝜃
Answered by ji
It is shaded entirely right of the y axis
Answered by oobleck
since we are looking at the region where -π/2 ≤ θ ≤ π/2 we have
a = ∫[-π/2,π/2] 1/2 r^2 dθ
= ∫[-π/2,π/2] 1/2 (4+3sinθ)^2 dθ = 41π/4
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