The curve meets the -axis at two points

MATHEMATICS · Subjective · IB Diploma Programme · Mathematics: Analysis and Approaches · Calculus · Calculus

Problem

The curve y=3x−x2y=3x-x^{2} meets the xx-axis at two points. Explain how these intercepts determine the limits of integration when setting up an integral for the volume of the solid generated by revolving the region under the curve about the xx-axis.

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