Integration
Definition
Integration is an operation in calculus that finds antiderivatives, or reverse derivatives, allowing us to calculate areas, volumes, and other quantities related to curves and functions.
Related terms
Indefinite Integral: An integral without specified limits that gives a family of functions as its result.
Fundamental Theorem of Calculus: This theorem establishes a connection between differentiation and integration, stating that differentiation undoes what integration does.
Integration by Parts: A technique used to evaluate integrals involving products of functions by applying a specific formula derived from the product rule for differentiation.
"Integration" appears in:
Subjects (8)
AP European History
AP German
AP Human Geography
AP Physics C: Mechanics
AP US Government
AP US History
Anatomy & Physiology
Organic Chemistry
Study guides (5)
AP Calculus AB/BC - 6.12 Integrating Using Linear Partial Fractions
AP Calculus AB/BC - 8.8 Volumes with Cross Sections: Triangles and Semicircles
AP Calculus AB/BC - 8.9 Volume with Disc Method: Revolving Around the x- or y-Axis
AP Calculus AB/BC - 8.11 Volume with Washer Method: Revolving Around the x- or y-Axis
AP Calculus AB/BC - 9.8 Find the Area of a Polar Region or the Area Bounded by a Single Polar Curve
Additional resources (2)
AP Calculus AB/BC - AP Calculus Multiple Choice Questions
AP Calculus AB/BC - Unit 8 Overview: Applications of Integration
Practice Questions (2)
What is the definition of integration in calculus?
Which step allows integration to be performed on both sides of the equation in the process of finding a particular solution?
Are you a college student?
Study guides for the entire semester
200k practice questions
Glossary of 50k key terms - memorize important vocab
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
Stay Connected
© 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.
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.