4.7 Areas Between Curves

Onscreen applet instructions:
The applet depicts the total area between two curves, as well as the net area. In each case an integral formula is given. In the case of total area, explain the role of the absolute value and how it is evaluated over the interval of integration.
ExamplesFind the area of the region bounded by y^{2} = 2x and x – y = 4. Sketch the region.
Find the area between
Consider the region between the circles x^{2} + y^{2} = a^{2} and x^{2} + y^{2} = b^{2} in the first quadrant. Divide this region into two pieces with the curve defined by
VideosSee short videos of worked problems for this section.
QuizExercisesSee Exercises for 4.7 Areas Between Curves (PDF).Work online to solve the exercises for this section, or for any other section of the textbook. 
Resources on the WebInformation on NewtonBiographical data from St. Andrew's University's Web site Excerpt from W.W. Rouse Ball's "A Short Account of the History of Mathematics"
Information on Leibniz
Calculus Applications
Areas Between Curves

Interesting ApplicationNothing yet has been found. Any ideas? 
4.6 Trapezoid Rule  Table of Contents  4.8 Volumes of Solids of Revolution 
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Copyright © 2005 Donald L. Kreider, C. Dwight Lahr, Susan J. Diesel