5.5 Substitution

OpenStax Calculus Volume 1 — Section 5.5

Learning Objectives

  • Recognize integrands that are compositions: \(\int f(g(x)) g'(x) \, dx\)

  • Apply u-substitution: set \(u = g(x)\), compute \(du = g'(x) \, dx\), transform the integral

  • Change the limits of integration when applying substitution to definite integrals

  • Develop pattern recognition for choosing \(u\) effectively

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.