Consider the polar equation of an ellipse r = ed/(1 e cos ), where 0 <

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Consider the polar equation of an ellipse r = ed/(1 ± e cos θ), where 0 < e < 1. Evaluate an integral in polar coordinates to show that the area of the region enclosed by the ellipse is πab, where 2a and 2b are the lengths of the major and minor axes, respectively.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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