The base of a solid is the region enclosed by the graphs of y=x^2-5x+7y=x 2 −5x+7y, equals, x, start superscript, 2, end superscript, minus, 5, x, plus, 7 and y=3y=3y, equals, 3, between x=1x=1x, equals, 1 and x=4x=4x, equals, 4. cross sections of the solid perpendicular to the xxx-axis are rectangles whose height is xxx. which one of the definite integrals gives the volume of the solid?