The definite integral can be used to find the area between two curves. In each case,
a. Sketch the graphs of the two functions over the given range, and shade the area between the curves.
b. Sketch the graph of the difference between the two curves. The area under this curve matches the area between the original curves.
c. Find the area under the difference curve (remembering to use absolute value).
f(x) = 2x and g(x) = x2 for 0 ≤ x ≤ 2.