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Find the derivative of this function:
Finding Area Between Curves
Find the total area enclosed between the graph of ƒ( ) and the x-axis.
Another way of doing this would be:



How would we do this on a calculator?
Area of a Region Between Two Curves

If f and g are continuous functions and f(x) ≥ g(x) for all x in the
interval [a, b], then the area of the region between the graphs of f
and g from x = a to x=b is
Finding the area between two curves, ƒ and

              f(x) = 4x - x2          g(x) = 5 - 2x
Day 5 examples

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Day 5 examples

  • 1. Find the derivative of this function:
  • 2. Finding Area Between Curves Find the total area enclosed between the graph of ƒ( ) and the x-axis.
  • 3. Another way of doing this would be: How would we do this on a calculator?
  • 4. Area of a Region Between Two Curves If f and g are continuous functions and f(x) ≥ g(x) for all x in the interval [a, b], then the area of the region between the graphs of f and g from x = a to x=b is
  • 5. Finding the area between two curves, ƒ and f(x) = 4x - x2 g(x) = 5 - 2x