What Do You Mean By Central Government?

Central government consists of all administrative departments of the state and other central agencies whose responsibilities cover the whole economic territory of a country, except for the administration of social security funds.

What are the three structure of central government?

Ministers of India The Government in India or the central or the union government is divided into three main sections namely the executive, legislature and the judiciary shown as under. The responsibility of each section of the government is also mentioned along.

What do you mean by central government?

Central government consists of all administrative departments of the state and other central agencies whose responsibilities cover the whole economic territory of a country, except for the administration of social security funds.

What are the 3 levels of the government?

The three spheres of Government

  • National Government.
  • Provincial Government.
  • Local Government.

What does an indefinite integral represent?

An indefinite integral is a function that takes the antiderivative of another function. It is visually represented as an integral symbol, a function, and then a dx at the end. The indefinite integral is an easier way to symbolize taking the antiderivative.

How do you find the indefinite integral on a TI Nspire CX?

The Integral command is one of the most significant commands on the TI-Nspire CAS Calculus submenu. Press →Calculus→Integral to open the Integral command.

What is the difference between an antiderivative and the indefinite integral?

To summarize, you could say that an antiderivative is just one function having a given derivative, whereas an indefinite integral is the collection of all functions having a given derivative.

What is another name for indefinite integral?

An indefinite integral, sometimes called an antiderivative, of a function f(x), denoted byis a function the derivative of which is f(x).

What is antiderivative example?

Example: F(x)=x3 is an antiderivative of f(x)=3x2. Also, x3+7 is an anti-derivative of 3x2, since d(x3)dx=3x2 and d(x3+7)dx=3x2. The most general antiderivative of f is F(x)=x3+C, where c is an arbitrary constant.

How do you find indefinite integrals using substitution?

Substitution in the indefinite integral

  1. Calculate the derivative of u, and then solve for "dx."
  2. Substitute the expression for u in the original integral, and also substitute for dx.
  3. Eliminate the variable x, if it is still present, leaving an integral in u only.
  4. Simplify the integrand.
  5. Evaluate the simplified integral.

How do you find the indefinite integral?


  1. The process of finding the indefinite integral is also called integration or integrating f(x). f ( x ) .
  2. The above definition says that if a function F is an antiderivative of f, then. ∫f(x)dx=F(x)+C. for some real constant C. C .
  3. Unlike the definite integral, the indefinite integral is a function.

What are antiderivatives used for?

An antiderivative is a function that reverses what the derivative does. One function has many antiderivatives, but they all take the form of a function plus an arbitrary constant. Antiderivatives are a key part of indefinite integrals.

How do you use Antiderive?

To find antiderivatives of basic functions, the following rules can be used:

  1. xndx = xn+1 + c as long as n does not equal -1. This is essentially the power rule for derivatives in reverse.
  2. cf (x)dx = c f (x)dx.
  3. (f (x) + g(x))dx = f (x)dx + g(x)dx.
  4. sin(x)dx = - cos(x) + c.

Is the antiderivative the original function?

Antiderivatives, which are also referred to as indefinite integrals or primitive functions, is essentially the opposite of a derivative (hence the name). More formally, an antiderivative F is a function whose derivative is equivalent to the original function f, or stated more concisely: F′(x)=f(x).

How do you find antiderivatives?

If we can find a function F derivative f, we call F an antiderivative of f. for all x in the domain of f. Consider the function f(x)=2x. Knowing the power rule of differentiation, we conclude that F(x)=x2 is an antiderivative of f since F′(x)=2x.

What kind of integral is antiderivative?

Antiderivatives are related to definite integrals through the second fundamental theorem of calculus: the definite integral of a function over a closed interval where the function is Riemann integrable is equal to the difference between the values of an antiderivative evaluated at the endpoints of the interval.

Is the antiderivative the same as the function?

An antiderivative is a function F(x) with the property that F′(x)=f(x). The Fundamental Theorem of Calculus tells us that we can compute definite integrals using antiderivatives, i.e. ∫baf(x)dx=F(b)−F(a).

What is the difference between differentiation and Antidifferentiation?

Differentiation and Integration are the two major concepts of calculus. Differentiation is used to study the small change of a quantity with respect to unit change of another.

Differentiation and Integration Formulas.

Differentiation FormulasIntegration Formulas
d/dx cos x = -sin x∫ cos x dx = sin x + C

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