With this unit, we are now applying Integrals to solve more problems like finding the average value of a function, model particle motion and net change and determine areas, and volumes defined by the graph of a function.

Topics

  • Finding the Average Value of a Function on an Interval
  • Connecting Position, Velocity and Acceleration of Functions Using Integrals
  • Using Accumulation Functions and Definite Integrals in Applied Contexts
  • Finding the Area Between Curves Expressed as Functions of x
  • Finding the Area Between Curves Expressed as Functions of y
  • Finding the Area Between Curves That Intersect at More Than Two Points
  • Volumes with Cross Sections: Squares and Rectangles
  • Volumes With Cross Sections: Triangles and Semicircles
  • Volume with Disc Method: Revolving Around the x or y Axis.
  • Volume with Disc Method: Revolving Around Other Axes
  • Volume with Washer Method: Revolving Around the x or y Axis
  • Volume with Washer Method: Revolving Around Other Axes