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A Region Is Bounded Above by the Graph of Y x3x ^ { 3 }

Question 74

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A region is bounded above by the graph of y = x - x3x ^ { 3 } and below by the x-axis on the interval from x=0x = 0 to x=1x = 1 Find the volume of the solid of revolution generated by revolving the region about the x-axis. Enter your answer as a reduced quotient of form abc\frac { a b } { c } .

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