Author:
Alex G

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.

Our College Algebra Course is only $329.

Sophia's online courses not only save you money, but credits are also eligible for transfer to over 2,000 colleges and universities.*

*The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 16 of Sophia's online courses. More than 2,000 colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.

Tutorial

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