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integral calculus

American  

noun

  1. the branch of mathematics that deals with integrals, especially the methods of ascertaining indefinite integrals and applying them to the solution of differential equations and the determining of areas, volumes, and lengths.


integral calculus British  

noun

  1. the branch of calculus concerned with the determination of integrals and their application to the solution of differential equations, the determination of areas and volumes, etc Compare differential calculus

"Collins English Dictionary — Complete & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

integral calculus Scientific  
  1. The study of integration and its uses, such as in calculating areas bounded by curves, volumes bounded by surfaces, and solutions to differential equations.

  2. Compare calculus of variations differential calculus


Etymology

Origin of integral calculus

First recorded in 1720–30

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

It’s interesting to note that Leibniz was also a mathematician and physicist; he invented differential and integral calculus at about the same time that Isaac Newton did.

From Scientific American

“I did high mathematics, differential calculus, integral calculus. All that stuff. All kinds of special statistical processing. And now I’m sitting here and you people are treating me like I’m an idiot.”

From Washington Post

But compared with the integral calculus involved in a patent box, the research credit is third-grade arithmetic.

From Forbes

Would that be integral calculus, or maybe differential calculus?

From Washington Post

Formulas for the areas and volumes of geometric figures were surprisingly easy to obtain using this principle, which was a precursor of integral calculus.

From New York Times