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