Suppose y=f(x) and y=g(x) are two functions whose graphs intersect at the three points (0,4),(2,2) and (4,0). And also f(x)>g(x) for x∈(0,2), f(x)<g(x) for x∈(2,4). If 4∫0(f(x)−g(x))dx=10 and 4∫2(g(x)−f(x))dx=5, then the area between the two curves for x∈(0,2) is