Let be a continuous function that is increasing on

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

Problem

Let ff be a continuous function that is increasing on [1,5][1,5]. A left-endpoint Riemann sum with nn equal subintervals is used to approximate ∫15f(x) dx\displaystyle\int_{1}^{5} f(x)\,dx. Determine whether this approximation will be an underestimate or an overestimate of the integral, and briefly explain why.

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