Let R be the region bounded by the functions f(x) =-3x²+3 and g(x) = 3x2 - 3 as shown in the diagram below. Find the exact area of the region R without using a calculator. Write your answer in simplest form. 4-5 3-5 2.5 1.5 0.5 R- -0.5 -0.5 -1.5 0.5 1.5 2 -1 -1.5 -2 -2.5 -3-5 -4-5 2

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