Question: Let a > 0 and let f: [-a, a] - R be a continuous function that is piecewise continuously differen- tiable on (-a, a). Assume

Let a > 0 and let f: [-a, a] - R be a continuous function that is piecewise continuously differen- tiable on (-a, a). Assume that f(x) 2 0 for all x E [-a, a] and f(-a) = f(a) = 0. Let A be the area under the graph of f bounded below the x-axis and let L be the length of the graph of f. 3.1. 1 point. Show that A = f -xf'(x) dx and "G- = fa va2 - x2 dx. 3.2. 2 points. Prove that "9- + A

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