For a continuous function on

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

For a continuous function ff on [0,6][0,6], let ∫02f(x) dx=3\displaystyle \int_{0}^{2} f(x)\,dx = 3, \; ∫24f(x) dx=−1\displaystyle \int_{2}^{4} f(x)\,dx = -1, and \; ∫06f(x) dx=k\displaystyle \int_{0}^{6} f(x)\,dx = k. Find ∫46f(x) dx\displaystyle \int_{4}^{6} f(x)\,dx in terms of kk. (a) k+2k+2 (b) k−2k-2 (c) 2−k2-k (d) k−4k-4

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