Author: John J Weber III, PhDCorresponding Textbook Sections:
Section 6.1 – Area Between Curves
Expected Educational Results
Objective 10–1: I can set up the integral to compute the area of the region bounded by two or more curves.
Objective 10–2: I can evaluate the integral to compute the area of the region bounded by two or more curves using FTC-II.
Objective 10–3: I can use technology to estimate the area of the region bounded by two or more curves using FTC-II.
A modern version of Bloom’s Taxonomy is included here to recognize various different levels of understanding and to encourage you to work towards higher-order understanding (those at the top of the pyramid). All Objectives, Investigations, Activities, etc. are color-coded with the level of understanding.
Area Between Curves
Use the embedded DESMOS graph below:
Explain why the area between and must.
Solve the equation for : .
Explain why there must be three (3) solutions to the above equation.
Compare the solutions to the above equation to the -coordinates of the intersections of and . What do you notice? Explain.
Explain why does not represent the area between and .