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Constant of Integration

Definition

The constant of integration is a constant value that appears when an indefinite integral is evaluated. It represents the 'starting point' or initial condition of the function being integrated.

Related terms

Indefinite Integral: This is the antiderivative, or reverse process, of differentiation. It's called 'indefinite' because it includes a constant term whose value isn't specified.

Definite Integral: This is an integral with specific start and end points. Unlike an indefinite integral, it doesn't include a constant of integration because its value depends only on these two points.

Initial Condition: In calculus, this refers to the known value of a function at a specific point in time or space. It's used along with differential equations to find particular solutions.

"Constant of Integration" appears in:

Subjects (1)

  • AP Calculus AB/BC

Study guides (1)

  • AP Chemistry - 5.3 Concentration Changes Over Time

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About Us

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CCPA Privacy Policy

Resources

Cram Mode

AP Score Calculators

Study Guides

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Glossary

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Crisis Text Line

Help Center

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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.