Integral Calculator

An Integral Calculator is a free online tool that displays the antiderivative of the given function. BYJU’S online integral calculator tool makes the calculations faster, showing the integral value for the given function in a fraction of seconds.

How to Use Online Integral Calculator?

The procedure to use an integral calculator is as follows:

Step 1: Enter the function f(x) and the variable in the respective input field

Step 2: Click the button “Submit” to get the output

Step 3: The antiderivative of the given function will be displayed in a new window

Integral Definition

In Calculus, the four important concepts are limits, continuity, derivatives and integrals. Integrals are generally used to define the area under the curves. It 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 shows that the process of anti-differentiation is the same as integration. 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 to represent the definite and indefinite integrals are given as follows:

Definite Integral: ab f(x) dx

Indefinite Integral: ∫ f(x) dx

Here, f(x) is a function, “a” is a lower limit, and “b” is the upper limit.

Frequently Asked Questions on Integral Calculator

Define integral in simple terms.

Integral is the reverse of a derivative. It is opposite the differential calculus. Integrals are used to define the area under the curve of the given function.

What are the four important concepts in calculus?

The four important concepts in calculus are:

  • Limits
  • Derivatives
  • Integrals
  • Continuity

What are the applications of integrals?

The integrals are used in many fields to find:

  • Area and surface area
  • Distance
  • Velocity
  • Acceleration
  • Work
  • Arc length
  • Centre of Mass
  • Volume

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