Labware - MA35 Multivariable Calculus - Single Variable Calculus



Area between Function Graphs


Consider two functions of one variable f(x) and g(x), and suppose we want to find the area of the region between the graphs of f(x) and g(x). Again, we can approximate the area by filling in the region with a sequence of rectangles.



  • 1. Estimate the area between the function graphs for the example that the demo above begins with.
  • 2. Estimate the area between the graphs f(x) = x2 and g(x) = 0. What integral does this represent?
  • 3. How can you convert a problem involving area between function graphs into a problem involving the area under a single function graph?