This preview shows page 1. Sign up to view the full content.
Unformatted text preview: The integral of a rate of change is the net change: ( ) ( ) ( ) b a F x dx F b F a =& Example: If V(t) is the volume of water in a tank at time t, then its derivative V(t) is the rate at which wate flows into the tank at time t. So 2 1 2 1 ( ) ( ) ( ) t t V x dx V t V t =& is the change in the amount of water in the tank between time t 1 and t 2 . Try exercises 6, 12, 16, 24, 28, 30, 34, 38, 50, 52, 60 on pages 397398 in your text....
View
Full
Document
This note was uploaded on 12/12/2011 for the course MAC 2311 taught by Professor Teague during the Spring '11 term at Santa Fe College.
 Spring '11
 Teague
 Calculus, Definite Integrals, Derivative, Integrals

Click to edit the document details