Consider the curve given by y=4x−x2(y≥0). This curve meets the x-axis at x=0 and x=4.
a. (i) Write an integral expression for the area enclosed between the curve and the x-axis from x=0 to x=4.
b. (ii) By performing a suitable change of variable, evaluate the integral obtained in part (i).
c. (iii) Hence state the exact value of the required area.