⚠️ DRAFT HANDOUT - NOT FINALIZED BY INSTRUCTOR - DO NOT PRINT YET
MATH-181 (Calculus I) Curriculum
Session 22 - The Substitution Rule for Integrals
Handout Worksheet
Fall Semester 2026
Session Objectives & Overview
By the end of this session, you will be able to:
Micro-Lecture
Engineering Context: Simplfying Complex Systems
In this session, we investigate the mathematical principles of The Substitution Rule for Integrals and explore how engineers apply these concepts to analyze real-world physical and structural systems.
Skill Block 1
Regroup 1
Review common misconceptions and clarify key notations.
Skill Block 2
Regroup 2
Reflect on the physical modeling applications and mathematical setups.
Skill Block 3
Regroup 3
Verify calculations and mathematical reasoning.
Synthesis Wrap-up
Core takeaways from Session 22 and overview of homework Knewton: U-Substitution.