Definition of Integral

The four important concepts in the topic of Calculus are limits, continuity, derivatives and integrals. Integrals are generally used to describe the area under the curves. Integrals assigns numbers to the functions that describe the area, volume, displacement, and some other concepts by combining infinitesimal data. An integral is a reverse process of finding the derivative. The fundamental theorem of calculus states that the process of integration is same as antidifferentiation.

The integrals are generally classified into two different types, namely:

  • Definite Integral – The integrals are defined using upper and lower limits
  • Indefinite Integral – The integrals do not have upper and lower limits. But it is specified by the constant of integration

Standard Form

The standard form of representing the definite and indefinite integrals are given as follows:

Definite Integral:abf(x) dx ,
where, f(x) is a function, “a” is a lower limit, and “b” is the upper limit

Indefinite Integral: ∫ f(x) dx.

Integral Calculator

An Integral Calculator is a free online tool that helps you integrate r find the antiderivative of the given function. This online integral calculator tool makes the calculations faster, and easier, saving you time and effort.

How to use this calculator:

Step 1: 

Type the function f(x) and the variable in the respective input field

Step 2: 

Click on the “Submit” button.

Step 3: 

The integral of the function entered will be displayed.