4.7 Areas Between Curves
On-screen 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 y2 = 2x and x y = 4. Sketch the region.
Consider the region between the circles x2 + y2 = a2 and x2 + y2 = b2 in the first quadrant. Divide this region into two pieces with the curve defined by
VideosSee short videos of worked problems for this section.
ExercisesSee 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 Newton
Biographical data from St. Andrew's University's Web site
Excerpt from W.W. Rouse Ball's "A Short Account of the History of Mathematics"
Nothing yet has been found. Any ideas?
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Copyright © 2005 Donald L. Kreider, C. Dwight Lahr, Susan J. Diesel