# What does the integral symbol mean?

The

**integral**sign ∫ represents integration. The**symbol**dx, called the differential of the variable x, indicates that the variable of integration is x. The function f(x) to be integrated is called the integrand. The**symbol**dx is separated from the integrand by a space (as shown).A.

### What is an integral symbol?

That is, it's usually called the "

**integral symbol**". For its origins: "∫**symbol**is used to denote the**integral**in mathematics. The notation was introduced by the German mathematician Gottfried Wilhelm Leibniz towards the end of the 17th century.#### What is a derivative in calculus?

In mathematics, the**derivative**is a way to show rate of change: that is, the amount by which a function is changing at one given point. For functions that act on the real numbers, it is the slope of the tangent line at a point on a graph.#### What is DX in math?

Historically,**calculus**was framed in terms of infinitesimally small numbers. The Leibniz notation dy/**dx**was originally intended to mean, literally, the division of two infinitesimals. The Leibniz notation ∫ f d x was meant to indicate a sum of infinitely many rectangles, each with infinitesimal width**dx**.#### What is the fundamental theorem of calculus?

The first part of the**theorem**, sometimes called the first**fundamental theorem of calculus**, states that one of the antiderivatives (also called indefinite integral), say F, of some function f may be obtained as the integral of f with a variable bound of integration.

B.

### What is integral line?

In mathematics, a

**line integral**is an**integral**where the function to be**integrated**is evaluated along a curve. The terms path**integral**, curve**integral**, and curvilinear**integral**are also used; contour**integral**as well, although that is typically reserved for**line integrals**in the complex plane.#### What is the meaning of Solenoidal?

**Definition of solenoid**. : a coil of wire usually in cylindrical form that when carrying a current acts like a magnet so that a movable core is drawn into the coil when a current flows and that is used especially as a switch or control for a mechanical device (such as a valve)#### What is an irrotational field?

Definition 2.4. A vector**field**F is called**irrotational**if it satisfies curl F = 0. The terminology comes from the physical interpretation of the curl. If F is the velocity**field**of a fluid, then curl F measures in some sense the tendency of the fluid to rotate.#### What is the meaning of irrotational flow?

**Irrotational flow**is a**flow**in which each element of the moving fluid undergoes no net rotation with respect to a chosen coordinate axes from one instant to other. A well-known example of**irrotational**motion is that of the carriages of the Ferris wheel (giant wheel).

C.

### What is an integral in calculus?

An

**integral**is a mathematical object that can be interpreted as an area or a generalization of area. Integrals, together with derivatives, are the fundamental objects of**calculus**. The Riemann**integral**is the simplest**integral**definition and the only one usually encountered in physics and elementary**calculus**.#### What does the DX in an integral mean?

The**integral**sign ∫ represents integration. The symbol**dx**, called the differential of the variable x, indicates that the variable of integration is x. The function f(x) to be integrated is called the integrand. If a function has an**integral**, it is said to be integrable.#### Is an integral The opposite of a derivative?

This theorem is so important and widely used that it's called the “fundamental theorem of calculus”, and it ties together the**integral**(area under a function) with the antiderivative (**opposite**of the**derivative**) so tightly that the two words are essentially interchangeable.#### What is mean by integration?

**Integration**occurs when separate people or things are brought together, like the**integration**of students from all of the district's elementary schools at the new middle school, or the**integration**of snowboarding on all ski slopes. You may know the word differentiate, meaning "set apart."**Integrate**is its opposite.

Updated: 21st October 2019