5.4 Integration Formulas and the Net Change Theorem

OpenStax Calculus Volume 1 — Section 5.4

Learning Objectives

  • Apply basic integration formulas (power, trig, exponential, reciprocal)

  • State and apply the net change theorem: \(\int_a^b F'(x) \, dx = F(b) - F(a)\)

  • Interpret integrals of rates as accumulated quantities (displacement, total flow, net growth)

  • Distinguish between displacement and total distance traveled

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.