(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Suppose that f(x)=c for all x in [a,b]. Show that f is integrable and that [tex]\int ^{a}_{b}[/tex]f(x)dx = c(b-a)

2. Relevant equations

3. The attempt at a solution

I understand all the definitions for Integration, my problem lies with approaching the problem. Should I use first principles to solve the problem? or do I just need to quote the definition?

For example, can I say "since f(x) is constant then it must be the case that upper sums equal its lower sums. Which implies that its upper integral equals its lower integral. Therefore f is Riemann integrable. Such that [tex]\int ^{a}_{b}[/tex]f(x)dx = c(b-a)

Is this sufficient?

Thank you for your help.

M

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# Homework Help: Show that f is integrable

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