AUC02 Find the area under the cu

AUC02 Find the area under the curve y = 2x between x = 0 and x = 3.

First, graph the curve.

The area, by integration is

This curve y = 2x forms a triangle with the x-axis and the line x = 3. The area of this triangle is one-half the base times the height (1/2)3×6 = 9, the same value as obtained through integration.