Setting Up Integrals from Word Problems: A Step-by-Step Method
A step-by-step method for translating AP Calculus word problems into definite integrals, with worked examples involving accumulation, area, volume, and rates.
Practice Problem Set: Volumes with Known Cross-Sections
Practice problems on finding volumes using known cross-sections, including squares, rectangles, semicircles, and other cross-sectional areas for AP Calculus AB & BC.
Practice Problem Set: Volumes of Revolution
Practice volumes of revolution in AP Calculus AB & BC with disk, washer, and shell methods, including fully worked answers and setup strategies.
Practice Problem Set: Rate-In/Rate-Out Problems
Practice rate-in/rate-out problems for AP Calculus AB & BC, with problems involving accumulation, inflow, outflow, and net change.
Practice Problem Set: Area Between Curves
Practice problems on finding the area between curves, with answers covering vertical slices, horizontal slices, intersections, and piecewise regions for AP Calculus AB & BC.
Position from Velocity and Acceleration via Integration
Learn how to find position from velocity and acceleration using integration, initial conditions, and the Fundamental Theorem of Calculus for AP Calculus AB & BC.
Mixed Review: Applications of Integration
A mixed review of the major applications of integration in AP Calculus, including area, volume, accumulation, average value, motion, and differential equations.
Interpreting Rate-In/Rate-Out Problems in Context
Learn how to interpret rate-in and rate-out problems in context using accumulation, units, net change, and differential equations for AP Calculus AB & BC.
Finding the Area Between Two Curves (with respect to y)
Learn how to find the area between two curves with respect to y, including horizontal slices, identifying right and left curves, finding intersections, and fully worked AP Calculus examples.
Finding the Area Between Two Curves (with respect to x)
Learn how to find the area between two curves with respect to x, including how to identify the top and bottom functions, find intersection points, set up the integral, and solve AP Calculus AB & BC problems.