Find the area between the curves. $x = -5$, $x = 2$, $y = 6x$, $y = x^2 - 7$ The area between the curves is $oxed{ }$. (Simplify your answer.)
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To find the points of intersection, we set the two equations equal to each other: 6x = x^2 - 7 Rearranging the equation, we get: x^2 - 6x - 7 = 0 Factoring the quadratic equation, we get: (x - 7)(x + 1) = 0 So, x = 7 or x = -1 Show more…
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