Integral

From WikiMD's Wellness Encyclopedia

(Redirected from Integrand)

Integral is a fundamental concept in mathematics, specifically in the field of calculus. It is used to calculate the area under a curve, the length of a curve, and the volume of a solid of revolution. The process of finding integrals is called integration.

Definition[edit | edit source]

An integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data. The process of finding integrals is called integration. Along with derivative, integral is the fundamental operation in calculus.

Types of Integrals[edit | edit source]

There are two types of integrals: definite integral and indefinite integral. A definite integral has actual numbers as limits while an indefinite integral has no limits.

Definite Integral[edit | edit source]

A definite integral of a function can be represented as the signed area of the region bounded by its graph. The process of finding definite integrals is called integration.

Indefinite Integral[edit | edit source]

An indefinite integral, also known as an antiderivative, represents a family of functions. The process of finding indefinite integrals is called integration.

Applications[edit | edit source]

Integrals are used in many practical applications. They are used in physics to calculate the center of mass, the mass of an object, the moment of inertia, and the work done by a force. In engineering, they are used to calculate the length of a curve, the area of a surface, and the volume of a solid.

See Also[edit | edit source]

Integral Resources
Wikipedia
WikiMD
Navigation: Wellness - Encyclopedia - Health topics - Disease Index‏‎ - Drugs - World Directory - Gray's Anatomy - Keto diet - Recipes

Search WikiMD

Ad.Tired of being Overweight? Try W8MD's physician weight loss program.
Semaglutide (Ozempic / Wegovy and Tirzepatide (Mounjaro / Zepbound) available.
Advertise on WikiMD

WikiMD's Wellness Encyclopedia

Let Food Be Thy Medicine
Medicine Thy Food - Hippocrates

Medical Disclaimer: WikiMD is not a substitute for professional medical advice. The information on WikiMD is provided as an information resource only, may be incorrect, outdated or misleading, and is not to be used or relied on for any diagnostic or treatment purposes. Please consult your health care provider before making any healthcare decisions or for guidance about a specific medical condition. WikiMD expressly disclaims responsibility, and shall have no liability, for any damages, loss, injury, or liability whatsoever suffered as a result of your reliance on the information contained in this site. By visiting this site you agree to the foregoing terms and conditions, which may from time to time be changed or supplemented by WikiMD. If you do not agree to the foregoing terms and conditions, you should not enter or use this site. See full disclaimer.
Credits:Most images are courtesy of Wikimedia commons, and templates Wikipedia, licensed under CC BY SA or similar.

Contributors: Prab R. Tumpati, MD