Construct and evaluate definite integrals representing the

Question

Question: 1. The integral

₀∫¹ (x - x²)dx

represents the area of a region between two curves in the plane. Make a sketch of this region.

2. Construct and evaluate definite integral(s) representing the area of the region described, using:

(a) Vertical slices

(b) Horizontal slices

Enclosed by y = x² and y = 3x.