Usually the first application of integration is to find the area bounded by a function and the x-axis, followed by finding the area between two functions. We begin with these problems
First some calculator hints
Graphing Integrals using a graphing calculator to graph functions defined by integrals
Graphing Calculator Use and Definition Integrals – Exam considerations Suggestions for using a calculator efficiently in area/volume problems
Under is a Long Way Down How to avoid “negative area.”
Density Functions Not often asked on the AP exams, but a good application related to area, nevertheless.
Who’d a thunk it? Some more complicated area problems for CAS solution.
Improper Integrals and Proper Areas – a BC topic
What’s a Mean Old Average Anyway – Discusses the different “average” in calculus
Half-full and Half Empty – Average Value
Average Value Activity to help students discover the Average Value formula
Revised and updated October 22, 2018