Consider a continuous function that is strictly increasing on the interval

MATHEMATICS · Subjective · A Level · Mathematics · Integration · Integration

Problem

Consider a continuous function gg that is strictly increasing on the interval [1,5][1,5]. A student uses a uniform partition with 88 subintervals and the left endpoints to approximate ∫15g(x) dx\displaystyle \int_{1}^{5} g(x)\,dx. Indicate whether this approximation is an underestimate or an overestimate of the exact integral and briefly justify your answer.

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