Given that and

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

Problem

Given that ∫28f(x) dx=15\displaystyle \int_{2}^{8} f(x)\,dx = 15 and ∫25f(x) dx=9\displaystyle \int_{2}^{5} f(x)\,dx = 9, find the value of ∫58f(x) dx\displaystyle \int_{5}^{8} f(x)\,dx. (a) −6-6 (b) 2424 (c) 66 (d) 99

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