Question
Asked Dec 2, 2019
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Which of the following integrals represents the volume of the solid obtained by rotating the region bounded by the curves y = In(x), y = 0, and
x 7 about the y-axis?
7
2т In(x) dx
А.
7
2тх In(x) dx
В.
7
c. 2T(x-7) In(x) dx
7
2пх1n(х) dx
D.
. 2T(x-7) In(x) dx
2п In(x) dx
F.
0
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Which of the following integrals represents the volume of the solid obtained by rotating the region bounded by the curves y = In(x), y = 0, and x 7 about the y-axis? 7 2т In(x) dx А. 7 2тх In(x) dx В. 7 c. 2T(x-7) In(x) dx 7 2пх1n(х) dx D. . 2T(x-7) In(x) dx 2п In(x) dx F. 0

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Expert Answer

Step 1

In this given curve points of intersection are,

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(1,0).(7,0).(7,In 7)

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Step 2

volume by a shell formula is given by the formula as,

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7 27rhdx V

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Step 3

in this curve 'r' and '...

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r%3D х—7 h= In (x)

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Tagged in

Math

Calculus

Integration