Fiveable
Fiveable

Numerical Value of a Definite Integral

Definition

The numerical value of a definite integral represents the signed area between a function's graph and the x-axis over a specific interval. It can be interpreted as accumulation or net change.

Related terms

Antiderivative: An antiderivative is an indefinite integral that "undoes" differentiation. It helps find functions whose derivatives match a given function.

Riemann Sum: A method for approximating the area under a curve using rectangles. By increasing the number of rectangles, we can get closer to the exact value represented by the definite integral.

Fundamental Theorem of Calculus: This theorem establishes a connection between differentiation and integration. It states that if F(x) is an antiderivative of f(x), then ∫[a to b] f(x) dx = F(b) - F(a).

"Numerical Value of a Definite Integral" appears in:

Additional resources (1)

  • AP Calculus AB/BC - AP Calculus Free Response Question (FRQ) Overview

collegeable - rocket pep

Are you a college student?

  • Study guides for the entire semester

  • 200k practice questions

  • Glossary of 50k key terms - memorize important vocab


Fiveable
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.