Find the area bounded by the graphs of y = x sin x and y = 0

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Find the area bounded by the graphs of y = x sin x and y = 0 over each interval.

(a) [0, π] 

(b) [π, 2π]

(c) [2π, 3π]

Describe any patterns that you notice. What is the area between the graphs of y = x sin x and y = 0 over the interval [nπ, (n + 1)π], where n is any nonnegative integer? Explain.

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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