Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. Verify your results using the integration capabilities of a graphing utility. y=cos 2x y=0 x=0 x=pi/4

Tolnaio 2020-12-17 Answered
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. Verify your results using the integration capabilities of a graphing utility.
y=cos2x
y=0
x=0
x=π4
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Expert Answer

SchepperJ
Answered 2020-12-18 Author has 96 answers
Jeffrey Jordon
Answered 2021-09-29 Author has 2064 answers

Volume of solid by disk method. Radius =cos(2x)

Area of cross section

A(x)=π(cos2x)2=π(1+cos4x2)

[cos2x=2cos2x1]

V=0π/4A(x)dx

=π20π/4(1+cos4x)dx

=π2[x+sin4x4]0π/4

=π2[π4+000]

=π8

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