Find the area between the curves 2x2 + 4x + y = 0 and y = 2x.
Find the area bounded by the curve x = y2 + 2y and the line x = 3.
Find the area bounded by the curve y = 9 - x2 and the x-axis.
Determine the centroid of the shaded area shown in Fig. P-705, which is bounded by the x-axis, the line x = a and the parabola y2 = kx.