Indefinite integral
This original textbook reading covers part of the AP topic. Follow the AP course outline for complete topic instruction and practice.
- Indefinite integral
An indefinite integral is identical to an anti-derivative. Taking the indefinite integral of a function gives another function with an unknown constant. The most common way to find the indefinite integral of a polynomial function is using the anti-power rule.
Example:
- Related Glossary Terms
Anti-derivative, Anti-Power Rule, Definite integral, Integral rules, Trigonometric substitution, U-substitution
- Index
Chapter 8 - Notation and Rules
Chapter 8 - Notation and Rules
Chapter 8 - FFR - Substitution and Differentials
Chapter 8 - FFR - Substitution and Differentials
Chapter 8 - FFR - Substitution and Differentials
Chapter 8 - FFR - Substitution and Differentials
Glossary and deeper reading · 1 refreshers
These editorial refreshers supplement the reading. Definitions and examples are added guidance; original source wording and recorded answers remain in their original context.
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Indefinite integral
An indefinite integral denotes the family of antiderivatives of its integrand on an interval. The constant of integration records the possible constant differences among those functions. For example, the indefinite integral of cos x is sin x+C. It has no pair of numerical bounds and does not by itself give a single accumulated amount.