The curves and enclose a finite region in the plane

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Integrals · Applications of Integrals

Problem

The curves y=xy=x and y=x3−xy=x^{3}-x enclose a finite region in the plane. When this region is revolved about the line y=4y=4, the resulting solid is formed. Determine the exact xx-values that will serve as the limits of integration for computing the volume of this solid.

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