Let f(x)=x2−4 be defined on the closed interval [−3,3].
a. (i) Determine the points where the graph of y=f(x) intersects the x-axis.
b. (ii) Without evaluating any integrals, explain why the definite integral ∫−33f(x)dx does not represent the numerical (unsigned) area bounded by the curve and the x-axis over [−3,3].
c. (iii) Write, but do not evaluate, the integral or integrals whose numerical value equals the required area.