5.6 Integrals Involving Exponential, Logarithmic, and Trigonometric Functions

OpenStax Calculus Volume 1 — Section 5.6

Learning Objectives

  • Evaluate integrals involving \(e^x\), \(a^x\), and \(\frac{1}{x}\)

  • Evaluate integrals of all six trig functions

  • Apply substitution to integrals involving exponential and logarithmic expressions

  • Recognize integrals that produce inverse trig functions (\(\arcsin\), \(\arctan\))

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.