4. Consider the functions f(x) = _ _ and g(x) X Let R denote the region in the first x4+1 x4+1 quadrant bounded by the
4. Consider the functions f(x) = _ _ and g(x) X Let R denote the region in the first x4+1 x4+1 quadrant bounded by the curves y = f(x) and y = g(x). Find the exact volume of the solid that has R as its base if every cross section by a plane perpendicular to the x-axis is a rectangle of height 3. ("Exact volume" means no calculator numbers.)
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