Find the total area between the curve y=f (x) = x^2 + 2 x - 8 and the x-axis, for x between x=-5 and x=7. by 'total area' we mean the sum of the areas of the physical regions which lie between the curve and the x-axis for - 5 / le x / le 7, regardless of whether the curve is above or below the x-axis. see the linked example.
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