Mathematics

Mathematics

Problem

Suppose gg is increasing and concave up on [1,5][1,5]. When the definite integral ∫15g(x) dx\displaystyle \int_{1}^{5} g(x)\,dx is approximated by summing the areas of trapezoids on nn equal subintervals, will the approximation be less than, equal to, or greater than the exact integral? Briefly explain your reasoning.

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