Sketch the region enclosed by 'y = 53 and y = 5:2. Decide whether to integrate with respect to I or 1;. Then find the area of the region. tamer Finding the Area between Two Curves Let f(x) and g(x) be continuous functions such that f(x) 2 g(x) over an interval [a, b] . Let R denote the region bounded above by the graph of f(@), below by the graph of g(@ ), and on the left and right by the lines @ = a and a = b, respectively. Then, the area of R is given by b A = [f(x) - g(x)] dx. (2.1)