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Students should be able to understand the concepts of calculating the area between two curves, either in terms of x or in terms of y.
Students should be able to calculate the volume of a solid generated by revolving a region about the x axis using washers.
Students should be able to calculate the volume of a solid generated by revolving a region about a horizontal line that is not an axis and is either above or below the curve.
This series of videos is designed as way to review for the AP Calculus AB exam, which includes a free response question about area and volume almost every year.
How to Calculate the area of the region enclosed between two curves.
Source: Self-created video
Using information from this video, you should be able to solve problem 1A from the AP College Board's released 2010 Form B exam
Source: AP College Board
Source: Self-created video
Using information from this video, you should be able to solve Question 1B from the AP College Board's released 2007 Exam.
(Note, however, that seeing the full graph for this region on your calculator requires you change the window size. Viewing the graph in a standard window makes it appear to have a vertical asymptote at x = 0. It does not.)
Source: AP College Board
Source: Self-created video
Source: Self-created video
Using the information from the two previous videos, you should be able to answer Question 1B on the College Board's released 2010 Form B Exam.
Source: AP College Board
