Rate & Accumulation (Type 1)

The Free-response Questions There are ten general categories of AP Calculus free-response questions. NOTE: The type number I’ve assigned to each type DO NOT correspond to the 2019 CED Unit numbers. Many AP Exam questions have parts from different Units. The CED Unit numbers will be referenced in each post. AP  Questions Type 1: Rate and Accumulation These questions…

2019 CED Unit 8: Applications of Integration

This unit seems to fit more logically after the opening unit on integration (Unit 6). The Course and Exam Description (CED) places Unit 7 Differential Equations before Unit 8 probably because the previous unit ended with techniques of antidifferentiation. My guess is that many teachers will teach Unit 8: Applications of Integration immediately after Unit…

Applications of Integration – Accumulation 2

Happy New Year ! A few more links to posts on accumulation. Painting a Point (2-4-2013) Paint often and the paint accumulates. Good Question 6: 2000 AB 4 (8-25-2015) Accumulation Good Question 8 – or not? (1-5-2016) Accumulation Density (1-10-2017) Accumulation and Differential Equations  (2-1-2013) Solving differential equations without the “+C“  Review Notes: Type 1 Questions:…

Applications of Integration – Volume

One of the major applications of integration is to find the volumes of various solid figures. Volume of Solids with Regular Cross-sections  This is where to start with volume problems. After all, solids of revolution are just a special case of solids with regular cross-sections. Volumes of Revolution Subtract the Hole from the Whole and…