. Find the area of the region enclosed by the curves 3 = 12 2x and y = x2 + 6x. The area of the region enclosed by the curves is I _. (Type an integer or a simplied fraction.) Find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis. Sketch the bounded region together with a typical disk element. Fm. y=x.0:x56 The volume ofthe rotated solid is [ml (Type an exact answer in terms of It.) Find the length of the curve 93:2 = 4x3 from x = 0 to x = 15 when y 2 0. The length of the curve is :| (Type an integer or fraction. Simplify your answer.)