Suppose , , , and . Evaluate…

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Suppose ∫02f(x) dx=4\displaystyle \int_{0}^{2} f(x)\,dx = 4, ∫25f(x) dx=−1\displaystyle \int_{2}^{5} f(x)\,dx = -1, ∫02g(x) dx=7\displaystyle \int_{0}^{2} g(x)\,dx = 7, and ∫25g(x) dx=3\displaystyle \int_{2}^{5} g(x)\,dx = 3. Evaluate ∫05(3f(x)−2g(x)) dx\displaystyle \int_{0}^{5} \bigl(3f(x)-2g(x)\bigr)\,dx.

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