If and , calculate…

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

Problem

If ∫03f(x) dx=7\displaystyle \int_{0}^{3} f(x)\,dx = 7 and ∫03g(x) dx=−1\displaystyle \int_{0}^{3} g(x)\,dx = -1, calculate ∫03[2f(x)−3g(x)] dx\displaystyle \int_{0}^{3} [2f(x)-3g(x)]\,dx. (a) 1111 (b) 1717 (c) −17-17 (d) 1414

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