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{
  "title": "Integral",
  "symbol": "∫",
  "definition": "In mathematics, an integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data.",
  "usage": "The integral of a function f with respect to a variable x is written as: ∫ f(x) dx",
  "examples": [
    {
      "description": "Definite integral from a to b",
      "latex": "\\int_{a}^{b} f(x) dx"
    },
    {
      "description": "Indefinite integral",
      "latex": "\\int f(x) dx = F(x) + C"
    }
  ],
  "tags": [
    "calculus",
    "analysis",
    "fundamental theorem of calculus"
  ],
  "relatedConcepts": [
    "derivative",
    "fundamental theorem of calculus",
    "antiderivative"
  ]
}

Integral

Symbol

∫

Definition

In mathematics, an integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data.

Usage

The integral of a function f with respect to a variable x is written as: ∫ f(x) dx

Examples

Tags

Related Concepts