The graphs of y=∣x∣ and y=x2 intersect several times on the interval [−2,2], enclosing two congruent regions.
(a) Determine all x-coordinates where the two graphs intersect in the interval [−2,2]. Show algebraic work.
(b) Write, but do not yet evaluate, an expression involving one or more definite integrals that gives the combined area of the regions bounded by the two graphs on [−2,2]. Clearly indicate the limits of integration and the integrand(s).
(c) Evaluate the expression from part (b) exactly to find the total area of the bounded regions.