Volumes with Cross-Sections: Triangles and Semicircles
Learn how to find volumes of solids with triangular and semicircular cross-sections using definite integrals, with step-by-step AP Calculus AB & BC examples.
Volumes with Cross-Sections: Squares and Rectangles
Learn how to find volumes using cross-sections that are squares and rectangles, with step-by-step AP Calculus AB & BC examples and practice problems.
Volumes of Revolution Around Horizontal and Vertical Lines
Learn how to find volumes of revolution when a region is rotated around horizontal or vertical lines, with disks, washers, shells, and fully worked AP Calculus examples.
Using Integrals to Model Particle Motion
Learn how to use integrals to model particle motion, including displacement, position, velocity, acceleration, and total distance traveled for AP Calculus AB & BC.
Using Accumulation to Solve Rate-In/Rate-Out Problems
Learn how to use accumulation integrals to solve rate-in/rate-out problems, with a step-by-step method and fully worked AP Calculus examples.
Total Distance Traveled Using Definite Integrals
Learn how to calculate total distance traveled using definite integrals, including why velocity must be split when an object changes direction. Fully worked AP Calculus AB & BC examples.
The Washer Method for Volumes of Revolution
Learn how to use the washer method to find volumes of revolution, including inner and outer radii, horizontal and vertical axes of rotation, and fully worked AP Calculus examples.
The Shell Method for Volumes of Revolution
Learn the shell method for volumes of revolution in AP Calculus AB & BC, including how to identify radius and height, choose dx or dy, and solve fully worked examples.
The Disc Method for Volumes of Revolution
Learn the disc method for volumes of revolution in AP Calculus AB & BC, including how to identify the radius, set up the integral, and solve fully worked examples.
Solving Problems Involving Definite Integrals as Net Change
Learn how to solve AP Calculus problems involving definite integrals as net change, including accumulation functions, initial values, units, and fully worked examples for AP Calculus AB & BC.