Find the area between the curves $f(x) = -x^2 + 5x + 14$ (in dark blue) and $g(x) = x^2 - 5x - 14$ (in dark red) over the interval $[-3, 8]$ \The area between the curves is: \NOTE: The graphs of the functions given intersect on the given interval.
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-2x^2 + 5x + 14 = 2x^2 - 5x - 14 4x^2 - 10x - 28 = 0 2x^2 - 5x - 14 = 0 Using the quadratic formula, we find x = -2 and x = 3 as the points of intersection. Show more…
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