Question: Use a line integral to find the area bounded by one arch of the cycloid x() = a( - sin ), y() = a(1 -

Use a line integral to find the area bounded by one arch of the cycloid x(θ) = a(θ - sin θ), y(θ) = a(1 - cos θ), 0 ≤ θ ≤ 2π, as shown in the figure.

2a y

2a y

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