Course: Calculus II
Topic: Geometry
Subtopic: Area Between Two Curves


One useful application of calculus is in the area of geometry. In this lesson we find the area of an irregular shape such as that formed between two (or more) intersecting curves. The plan is to slice the region into thin parallel strips then use definite integrals to sum-up all the strip areas to get the area of the entire shape.


By the end of this topic you should know and be prepared to be tested on:


Terms you should be able to define: area under a curve, area between two curves

Mini-Lectures and Examples

STUDY: Geometry - Area Between Two Curves

Supplemental Resources (optional)

Video: Area Between Curves, Selwyn Hollis's Video Calculus

Lesson: Area Between Curves, Paul's Online Notes for Calc I

PDF: First Applications of Definite Integrals, Dale Hoffman's Contemporary Calculus I (beginning pages, "Area Between f and g" section)

rev. 2021-01-03