**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 397-398 in your text....

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