Find the centroid of the volume generated by revolving about the line x=1, the area bounded by x^2-x+4y=19, the line x=1, and the x-axis. Pls show full solution with graph.

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 14E
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Find the centroid of the volume generated by revolving about the line x=1, the area bounded by x^2-x+4y=19, the line x=1, and the x-axis.

Pls show full solution with graph.

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