Let be a continuous function that is concave up on the entire interval

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

Problem

Let ff be a continuous function that is concave up on the entire interval [2,6][2,6]. When a midpoint Riemann sum with equal subintervals is used to approximate ∫26f(x) dx\displaystyle \int_{2}^{6} f(x)\,dx, is the approximation an overestimate or an underestimate of the exact integral value? State your answer ("overestimate" or "underestimate").

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