Find the area of the region bounded by the curves y = x² (x ≥ 0), y = ²¹x² (x ≥ 0) and the line y = 2. [13 marks] Let R be the region bounded by the curve y = x² + 1 volume of the solid generated by revolving the region R and the line y = 2x + 4. Find the about the line y = -1. [17 marks]