In this video we review all of Unit 8 of AP Calculus AB and BC. This includes: average value of a function; connections to position, velocity, and acceleration; accumulation functions and definite integrals in applications; area between curves; volumes with cross sections (squares, rectangles, triangles, semicircles); volumes of revolution (disks and washers); arc length (BC Calc only!)

Time Stamps:
00:00:27 (8.1) Average Value of a Function
00:04:10 (8.2) Connections to position, velocity, and acceleration
00:09:00 (8.3) Accumulation function and definite integral applications
00:14:11 (8.4, 8.5) Area between curves
00:24:39 (8.6) Area between curves that intersect more than once
00:29:14 (8.7, 8.8) Volumes with cross sections (square, rectangle, triangle, semicircle)
00:43:03 (8.9, 8.11) Volumes of revolution around x and y axis (disks/washers)
00:49:34 (8.10, 8.12) Volumes of revolution around other axes
01:00:59 (8.13, BC Only) Arc length of a function

You'll run into all of these ideas as you go through Calculus 1 and Calculus 2 in typical college courses as well. Everything in here could show up on the multiple choice or Free Response section of the AP Calculus exam.

#apcalculus #review