Jump to content

integral/continuety proof question..

transgalactic
in Homework Help

Featured Replies

function f(x) continues on [a,b]

suppose that for every sub part [math][\alpha ,\beta ]\subseteq [a,b][/math]

we have[math]\int_{\alpha}^{\beta}f(x)dx>0[/math].

prove that f(x)>=0 for [math] x\in[a,b] [/math]

 

if its wrong give a contradicting example??

 

 

i dont have a clue from here to start or how to go.

from the given i can conclude that if the sum of all subsections gives us a positive result then

the total sum from a to b has to positive too.inte

Archived

This topic is now archived and is closed to further replies.

Go to topic listing

Important Information

We have placed cookies on your device to help make this website better. You can adjust your cookie settings, otherwise we'll assume you're okay to continue.

Configure browser push notifications
Chrome (Android)
  1. Tap the lock icon next to the address bar.
  2. Tap Permissions → Notifications.
  3. Adjust your preference.
Chrome (Desktop)
  1. Click the padlock icon in the address bar.
  2. Select Site settings.
  3. Find Notifications and adjust your preference.