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Set up an integral to represent the volume of the a solid formed by semicircular cross sections perpendicular to the x-axis with a base bounded by y = ex and y = -2x on the interval [0,4]. Homework Help ✎

Since ex > –2x for all x, the diameter of the base will be (ex – (–2x)).

For a semicircular region, A = 0.5πr2.