A continuous function satisfies the following: • on and on • on The areas between the…

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A continuous function pp satisfies the following: • p(x)≥0p(x)\ge 0 on [−4,−1][-4,-1] and on [2,6][2,6] • p(x)≤0p(x)\le 0 on [−1,2][-1,2] The areas between the graph of pp and the xx-axis are 77 square units on [−4,−1][-4,-1], 1212 square units on [−1,2][-1,2], and 55 square units on [2,6][2,6]. Find ∫−46p(x) dx\displaystyle\int_{-4}^{6} p(x)\,dx. (a) 1414 (b) −10-10 (c) 00 (d) −2-2

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