Calculus: Introduction to Antiderivatives and Basic Formulas

This is an introduction to antiderivative in calculus. The concept is introduced and all of the basic formulas that are typically given in a Calculus 1 course are given.

TOPICS
- Conceptual introduction to antiderivatives
- Definition of an antiderivative
- Notation regarding Indefinite Integrals
- All basic formulas usually given in a Calculus 1 course with some examples

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[angelmendez-rivera]

I think it would be worthwhile to mention to calculus students that if the domain is made of multiple intervals, instead of a single contiguous interval, then the constant of antidifferentiation can be different for each of the intervals. For example, the derivative of ln(–x) + 2 for x < 0 and ln(x) + 5 for x > 0 is still 1/x.