Let f(x) and g(x) be functions with the following properties: \int_{0}^{1} f(x) d x=2, \int_{1}^{2} f(x) d x=9, \int_{0}^{1} g(x) d x=6, \int_{1}^{2} g(x) d x=3 Moreover, g(x)Z f(x) on

[0, 1], and f(x) 2 g(x) on [1,2]. What is the bounded area between the curves f and g on the interval [0, 2]? 6----7-------4------14-----10