Applications of integration

This course is a part of AP®︎ Calculus BC, a 12-course Topic series from Khan Academy.

Definite integrals are all about the accumulation of quantities. Let's see how they are applied in order to solve various kinds of problems.

This course contains 14 segments:

Finding the average value of a function on an interval

Connecting position, velocity, and acceleration functions using integrals

Using accumulation functions and definite integrals in applied contexts

Finding the area between curves expressed as functions of x

Finding the area between curves expressed as functions of y

Finding the area between curves that intersect at more than two points

Volumes with cross sections: squares and rectangles

Volumes with cross sections: triangles and semicircles

Volume with disc method: revolving around x- or y-axis

Volume with disc method: revolving around other axes

Volume with washer method: revolving around x- or y-axis

Volume with washer method: revolving around other axes

The arc length of a smooth, planar curve and distance traveled

Calculator-active practice