Consider a continuous function that is increasing on the interval

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Consider a continuous function ff that is increasing on the interval [2,7][2,7]. A left Riemann sum with 5 equal subintervals is used to approximate ∫27f(x) dx\displaystyle \int_{2}^{7} f(x)\,dx. State whether this approximation is an overestimate or an underestimate of the exact integral.

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