# 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.A.

### 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).#### What does the integral do?

Finding the integral of a function with respect to x means finding the area to the x axis from the curve. The integral is usually called the anti-derivative, because**integrating**is the reverse process of differentiating. The fundamental theorem of calculus shows that antidifferentiation is the same as**integration**.#### Where calculus is used?

Among the disciplines that utilize calculus include**physics**,**engineering**,**economics**, statistics, and medicine. It is used to create mathematical models in order to arrive into an optimal solution. For example, in**physics**, calculus is used in a lot of its concepts.#### Who invented integration?

History of calculus or infinitesimal calculus, is a history of a mathematical discipline focused on limits, functions, derivatives, integrals, and infinite series.**Isaac Newton**and**Gottfried Leibniz**independently invented calculus in the mid-17th century.

B.

### 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 contour integral?

**Contour integration**is the process of calculating the values of a**contour integral**around a given**contour**in the complex plane. "Applications to the Calculation of Definite**Integrals**and Sums." §4.5 in Handbook of Complex Variables.#### 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 the meaning of differentiation in mathematics?

The Definition of**Differentiation**. The essence of calculus is the derivative. The derivative is the instantaneous rate of change of a function with respect to one of its variables. This is equivalent to finding the slope of the tangent line to the function at a point.

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 is an integral number?

The integer is a whole**number**as opposed to a fraction such as 3, 6, 8, 15, 1284.**Integral**means consisting of a whole**number**or an undivided quantity. The term**integral**may also refer to the notion of antiderivative, a function F whose derivative is the given function f. The set of integers can be denoted by Z.#### What is meant by integration testing?

**Integration testing**, also known as**integration**and**testing**(I&T), is a software development process which program units are combined and**tested**as groups in multiple ways. In this context, a unit is defined as the smallest testable part of an application.#### 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: 9th October 2018