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

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

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.3: Volume And Average Value

Problem 18E

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Question

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations

y = cos 2x, y = 0, x = 0, x =π /4

about the x-axis. Verify your results using the integration capabilities of a graphing utility.

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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