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Todaｙ's calculation of Integral 865

Source: 2013 Ritsumeikan University entrance exam/Pharmacy etc.

February 7, 2013
calculusintegrationgeometrygeometric transformationrotationanalytic geometryrectangle

Problem Statement

Find the volume of the solid generated by a rotation of the region enclosed by the curve y=x3−xy=x^3-x and the line y=xy=x about the line y=xy=x as the axis of rotation.
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