References: Integral Properties and Techniques

1. Integration by substitution - Wikipedia - The u-substitution technique with proof, examples, and relationship to the chain rule. Core reference for the primary integration technique taught in this chapter.

2. Integral - Wikipedia - Properties of definite integrals including linearity, additivity over intervals, and comparison properties. Supports the integral property theorems in this chapter.

3. Even and odd functions - Wikipedia - Symmetry properties and their consequences for definite integrals over symmetric intervals. Directly supports the chapter's treatment of symmetry shortcuts.

4. Calculus: Early Transcendentals (9th Edition) - James Stewart - Cengage Learning - Sections 5.4-5.5 cover properties of definite integrals and the substitution rule with both indefinite and definite integral applications.

5. Thomas' Calculus (15th Edition) - Joel Hass, Christopher Heil, Maurice Weir - Pearson - Sections 5.5-5.6 develop substitution techniques and integral properties with emphasis on pattern recognition and bound transformation.

6. Substitution Rule - Paul's Online Math Notes - Comprehensive u-substitution examples for both indefinite and definite integrals with guidance on choosing the right substitution.

7. U-Substitution - Khan Academy - Interactive practice on u-substitution including changing bounds in definite integrals, aligned to AP Calculus expectations.

8. Properties of Definite Integrals - Paul's Online Math Notes - Statements and proofs of integral properties including additivity, comparison, and the mean value theorem for integrals.

9. U-Substitution - Organic Chemistry Tutor - Thorough video tutorial on u-substitution with examples covering polynomial, trig, exponential, and composite function integrands.

10. Average Value of a Function - Whitman College Calculus - Open-source section covering the mean value theorem for integrals and average value computation with applications.