Question

Given that 7≤f(x)≤9 for 2≤x≤6, estimate the value of ∫6 2 f(x)dx.

______________ ≤ ∫6 2 f(x)dx ≤ _______________

∫= integral from 2 to 6 (in case it's unclear)

Answer 1

Have you tried using the mean value theorem fro integrals?

Answer 2

umm no. the mean value theorem i know is f(b)-f(a) / b-a. is that what you are talking about?

Answer 3

hmm maybe you are to use left endpoint rule and right endpoint rule then?

Answer 4

pretend this is what f(x) looks like on [2,6]