The curve represented by the equation  r = aeb?,  where a and b are constants, is called a logarithmic spiral. The figure shows the graph of  r = e?⁄6, −2? ≤ ? ≤ 2?.  Find the area of the shaded region. (Round your answer to four decimal places.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 70E
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The curve represented by the equation 
r = aeb?,
 where a and b are constants, is called a logarithmic spiral. The figure shows the graph of 
r = e?⁄6, −2? ≤ ? ≤ 2?.
 Find the area of the shaded region. (Round your answer to four decimal places.)
 
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