Calculus 45S Slides June 4, 2008

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Finding the area between two curves (or lines).

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Calculus 45S Slides June 4, 2008

  1. 1. The Area Between Curves Hamilton Pool, Aug 2007 by flickr user David A G Wilson
  2. 2. Find the total area enclosed between the graph of ƒ(x) and the x-axis.
  3. 3. The Fundamental Theorem of Calculus ... part I Let the function ƒ be continuous on [a, b] with derivative ƒ'. Then ... Total change in ƒ In words: Integrating a rate of change function ƒ' over an interval [a, b] gives the total change in ƒ, ƒ(b) - ƒ(a), over the same interval. In other words, the integral of a derivative is the same thing as the total change in it's parent function over the same interval.

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