6.5 Physical Applications

OpenStax Calculus Volume 1 — Section 6.5

Learning Objectives

  • Compute work done by a variable force: \(W = \int_a^b F(x) \, dx\)

  • Solve spring problems using Hooke’s law: \(F(x) = kx\)

  • Compute work required to pump fluid from a tank

  • Find the center of mass and centroid of a planar region

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.