6.1 Areas Between Curves

OpenStax Calculus Volume 1 — Section 6.1

Learning Objectives

  • Set up integrals for area between two curves: \(\int_a^b [f(x) - g(x)] \, dx\)

  • Determine which function is on top over each subinterval

  • Compute areas by integrating with respect to \(y\) when advantageous

  • Handle regions requiring multiple integrals due to intersection points

Key Concepts

To be filled during study.

Practice Problems

To be completed with textbook exercises.

Section Summary

To be written after completing the section.

Study Notes

Personal observations and connections to engineering work.