A differentiable function is decreasing and concave down on

MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals

Problem

A differentiable function

g

is decreasing and concave down on

[0,5]

. Explain in one or two sentences whether the trapezoidal approximation of

\displaystyle \int_{0}^{5} g(x)\,dx

using equal subintervals is an overestimate or an underestimate, and justify your conclusion.