The curves and enclose a region for

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

The curves y=1xy=\dfrac{1}{x} and y=x4y=\dfrac{x}{4} enclose a region for 1≤x≤41\le x\le 4. This region is revolved about the vertical line x=−1x=-1. Choose the integration variable that allows the volume to be found with one washer integral rather than two, and state the corresponding limits of integration for that variable.

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