Skip to content

References: Basic Antiderivatives

  1. Antiderivative - Wikipedia - Definition, existence, uniqueness up to a constant, and basic antiderivative formulas. Core reference for the foundational integration concepts introduced in this chapter.

  2. Integral - Wikipedia - Broad overview of integration including indefinite integrals, notation, and the relationship between differentiation and integration that motivates this chapter.

  3. Constant of integration - Wikipedia - Explains why antiderivatives form a family of functions differing by a constant. Directly supports the chapter's emphasis on the "+C" in indefinite integrals.

  4. Calculus: Early Transcendentals (9th Edition) - James Stewart - Cengage Learning - Section 4.9 introduces antiderivatives and basic integration rules, connecting them to initial value problems and rectilinear motion.

  5. Thomas' Calculus (15th Edition) - Joel Hass, Christopher Heil, Maurice Weir - Pearson - Section 4.8 covers antiderivatives with emphasis on reversing differentiation rules and solving differential equations with initial conditions.

  6. Computing Indefinite Integrals - Paul's Online Math Notes - Comprehensive list of basic antiderivative formulas with worked examples for power, trig, and exponential functions.

  7. Antiderivatives and Indefinite Integrals - Khan Academy - Interactive practice on finding antiderivatives using reverse power rule and basic formulas, aligned to AP curriculum.

  8. Basic Integration Rules - Organic Chemistry Tutor - Video tutorial covering all basic antiderivative formulas with extensive worked examples.

  9. Antiderivatives - Math is Fun - Gentle introduction to integration as the reverse of differentiation with visual examples and basic formula reference.

  10. Antiderivatives - Whitman College Calculus - Open-source section developing antiderivative formulas systematically with initial value problem applications.