QUESTION 2:
Given two functions: y = kx³, y = mx, k and m have the same sign.
(a) Sketch the graphs with various choices of the free parameters k and m.
(b) Demonstrate why we cannot find the area bounded by both curves and x-axis by simply integrating the following integral: (kx³ -mx) dx. By choosing suitable k and m, compute the area bounded by both curves and x-axis. [5 marks]
