Mathematics

Mathematics

Problem

A continuous function pp on [0,4][0,4] satisfies: • pp is increasing on [0,2][0,2]. • pp is decreasing on [2,4][2,4]. A right Riemann sum with 4 equal subintervals is used to approximate ∫04p(x) dx\displaystyle \int_{0}^{4} p(x)\,dx. Indicate whether this approximation is necessarily an overestimate, necessarily an underestimate, or whether the sign of the error cannot be determined from the given information.

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