Mathematics

Mathematics

Problem

If ∫03f(x) dx=5\displaystyle \int_{0}^{3} f(x)\,dx = 5 and ∫03g(x) dx=−2\displaystyle \int_{0}^{3} g(x)\,dx = -2, determine ∫03(3f(x)−2g(x)) dx\displaystyle \int_{0}^{3}\bigl(3f(x) - 2g(x)\bigr)\,dx. a) 1111 b) 1717 c) 1919 d) 1313

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