Applications of Integrals Review (All of AP Calculus Unit 8)

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