Find the area of the shaded region bounded by the x-axis and one arch of the cycloid given below. dx (Hint: dx = dt.) dt x= a(t - sin t), y=4a(1- cost) The area is (Type an exact answer, using as needed.) 8a 2aл

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
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Find the area of the shaded region bounded by the x-axis and one arch of the cycloid given below.
dx
(Hint: dx =
dt.)
dt
x= a(t - sin t), y=4a(1- cost)
The area is
(Type an exact answer, using as needed.)
8a
2aл
Transcribed Image Text:Find the area of the shaded region bounded by the x-axis and one arch of the cycloid given below. dx (Hint: dx = dt.) dt x= a(t - sin t), y=4a(1- cost) The area is (Type an exact answer, using as needed.) 8a 2aл
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