Mathematics

Mathematics

Problem

If f(x)f(x) is defined on [−2,2][-2, 2] by f(x)=4x2−3x+1f(x) = 4x^2 - 3x + 1 and g(x)=f(−x)−f(x)x2+3g(x) = \frac{f(-x) - f(x)}{x^2 + 3}, then ∫−22g(x) dx=\int_{-2}^{2} g(x)\,dx = (a) 64 (b) -48 (c) 0 (d) 24

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