Given and , determine…

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

Given ∫13f(x) dx=4\displaystyle \int_{1}^{3} f(x)\,dx = 4 and ∫35f(x) dx=−2\displaystyle \int_{3}^{5} f(x)\,dx = -2, determine ∫51f(x) dx\displaystyle \int_{5}^{1} f(x)\,dx. (a) 66 (b) −4-4 (c) −2-2 (d) 22

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