Debug Info:
{
"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