Question
Asked Feb 15, 2020
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57. Finding area Find the area of the region enclosed by the curve
y = x sin x and the x-axis (see the accompanying figure) for
a. 0 <x< T.
b. T <x< 27.
с. 2т < х < Зп.
d. What pattern do you see here? What is the area between the
curve and the x-axis for n < x S (n + 1)7, n an arbitrary
nonnegative integer? Give reasons for your answer.
10
y = x sin x
х
Зт
/2т
-5
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57. Finding area Find the area of the region enclosed by the curve y = x sin x and the x-axis (see the accompanying figure) for a. 0 <x< T. b. T <x< 27. с. 2т < х < Зп. d. What pattern do you see here? What is the area between the curve and the x-axis for n < x S (n + 1)7, n an arbitrary nonnegative integer? Give reasons for your answer. 10 y = x sin x х Зт /2т -5

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