Consider the functions f(x) =x3/x4+1 and g(x) = x/x4+1 Let R denote the region in the first

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.)