Section 4
Applications of Integration
Book
Version 1
By Boundless
By Boundless
Boundless Calculus
Calculus
by Boundless
6 concepts

Area Between Curves
The area between the graphs of two functions is equal to the integral of a function,

Volumes
Volumes of complicated shapes can be calculated using integral calculus if a formula exists for the shape's boundary.

Average Value of a Function
The average of a function

Cylindrical Shells
In the shell method, a function is rotated around an axis and modeled by an infinite number of cylindrical shells, all infinitely thin.

Work
Forces may do work on a system. Work done by a force (

Volumes of Revolution
Disc and shell methods of integration can be used to find the volume of a solid produced by revolution.