Mathematics

Mathematics

Problem

The region enclosed by the xx-axis and the graph of y=x(4−x)y=x(4-x) for 0≤x≤40\le x\le 4 is revolved about the horizontal line y=−3y=-3. Write, but do not evaluate, a single definite integral that computes the volume of the resulting solid using the orientation that avoids splitting the integral.

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