What is an integral symbol used for in mathematics?

The integral symbol denotes integrals and antiderivatives in calculus. Integration is a fundamental operation used to calculate areas, volumes, and their generalizations. The principles of integration were formulated independently by Isaac Newton and Gottfried Wilhelm Leibniz.

What we know

• The integral symbol is used to denote integrals and antiderivatives in mathematics, especially in calculus. [1, 2]
• An integral represents the continuous analog of a sum and is used to calculate areas, volumes, and their generalizations. [3]
• The principles of integration were formulated independently by Isaac Newton and Gottfried Wilhelm Leibniz in the late 17th century. [3]
• The fundamental theorem of calculus links differentiating a function with integrating a function, treating the two operations as roughly inverse. [4]

Where to go next

• how it workedHow does the fundamental theorem of calculus work?
• whoWho were Isaac Newton and Gottfried Wilhelm Leibniz?
• a case in pointWhat is a line integral?
• the bigger pictureWhat is calculus?
• whenHow did Bernhard Riemann define integrals?
• an unexpected connectionWhy is a famous Toronto house named after an integral?The private residence known as Integral House was commissioned by mathematician James Stewart, whose wealth came from authoring widely used calculus textbooks.

Sources

• [1]integration symbol (Wikidata Q1665420) · CC0 1.0
• [2]Integral symbol · CC BY-SA 4.0
• [3]Integral · CC BY-SA 4.0
• [4]Fundamental theorem of calculus · CC BY-SA 4.0
• [5]Integral House · CC BY-SA 4.0

Your path

1. What are sedimentation and lithification?
2. /What is planetary geology?
3. /What are the Decade Volcanoes?
4. /What was Roman concrete and how did it endure?
5. /How did Richard Attenborough shape British film and theatre?
6. /What was the Grenville orogeny and crustal assembly?
7. /What is a synsedimentary fold?
8. /What is an integral symbol used for in mathematics?