A function is integrable on

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

A function hh is integrable on [0,6][0,6]. Knowing that ∫02h(x) dx=4\displaystyle \int_{0}^{2} h(x)\,dx = 4, ∫24h(x) dx=−1\displaystyle \int_{2}^{4} h(x)\,dx = -1, and ∫06h(x) dx=10\displaystyle \int_{0}^{6} h(x)\,dx = 10, determine ∫46h(x) dx\displaystyle \int_{4}^{6} h(x)\,dx. (a) 55 (b) 77 (c) 33 (d) 1313

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