Average Value of a Function

  • Calculating the average value of a function over an interval requires using the definite integral.
  • The exact calculation for average value of a function is the definite integral divided by the width of the interval.
  • This calculates the average height of a rectangle which would cover the exact area as under the curve, which is the same as the average value of a function.

Essential Questions

How is the average value of a function calculated using integration?