Find the area of the region that is bounded by the given curve and lies in the specified sector.
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Find the area of the region that is bounded by the given curve and lies in the specified sector.

[From: ] [author: ] [Date: 11-04-22] [Hit: ]
......
r = e^(θ/2)
pi/4 ≤ θ ≤ 7pI/6

"COMPLETE" DETAILED ANSWERS ONLY

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Area bounded by polar curve:

A = 1/2 ∫ₐᵇ r² dθ

A = 1/2 ∫{π/4 to 7π/6} e^θ dθ
A = 1/2 e^θ |{θ = π/4 to 7π/6}
A = 1/2 (e^(7π/6) - e^(π/4))
A = 18.4352
1
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