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Integration

Definition

Integration is a mathematical operation that calculates the area under a curve or finds the antiderivative of a function. It allows us to find total quantities or accumulated values from rates of change.

Related terms

Derivative: A derivative measures how a function changes as its input changes and represents its rate of change.

Definite integral: A definite integral gives us a specific value by finding the area under a curve between two points.

Indefinite integral: An indefinite integral gives us a family of functions (with +C) that have the same derivative as our original function.

"Integration" appears in:

Subjects (8)

  • AP Calculus AB/BC

  • AP European History

  • AP German

  • AP Human Geography

  • AP US Government

  • AP US History

  • Anatomy & Physiology

  • Organic Chemistry

Study guides (1)

  • AP Physics C: Mechanics - 1.2 Kinematics: Motion in Two Dimensions

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About Us

About Fiveable

Blog

Careers

Code of Conduct

Terms of Use

Privacy Policy

CCPA Privacy Policy

Resources

Cram Mode

AP Score Calculators

Study Guides

Practice Quizzes

Glossary

Cram Events

Merch Shop

Crisis Text Line

Help Center

© 2024 Fiveable Inc. All rights reserved.

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