Consider the function f defined by f(x) = 5 + e sin2x for 0 x piThe graph has a maximum point at A(a, ((a)) and a minimum point at B(b, f(b)).a) Find:i) f(0)ii (pi)b) Sketch the graph of f, showing clearly the points A and B.c) Find f(x)dx. From b to a d) Hence, explain why the value found in part c does not represent the area of the region enclosed by the graph of f and the x-axis for a x b.E) Hence, find the area of the region enclosed by the graph of f and the x-axis for a x b.

Consider the function f defined by f (x) = 5 + e sin2x for 0 S x S m. The graph has a maximum point at A(a, f(a)) and a minimum point at B(b, f(b)). a) Find: i) f(0) ii ) f ( It ) b) Sketch the graph of f, showing clearly the points A and B. c) Find S f(x) dx. d) Hence, explain why the value found in part c does not represent the area of the region enclosed by the graph of f and the x-axis for a