Antiderivative Calculator
Antiderivative calculator is referred to the device which helps in finding the integral value of the function, where the process consist of finding an anti-derivative of a particular function which is also known as integration. In similar terms, reverse processes of the differentiation is known as integrations and antiderivative is also referred to as an integral of the function. Antiderivative calculator is also referred to the online tool which is utilised for the calculation of the value of the provided indefinite integral. Integration can be further utilise to search for the certain area below a curve and can also be utilised for the determination of the volume of the three dimensional solid object or shape.
Antiderivative calculator is used for finding the anti-derivative of the function in a step by step process with regards to the variables, that is, x, y, or z, as it supports the upper bound as well as lower bound when working with the maximum and minimum interval values. Through the use of antiderivative calculator step-by-step calculation of the definite integrals and indefinite integrals can be performed. It is also further used for finding logarithm integrals and trigonometric functions as well as for the assessment of the input functions along with that it utilises the integral rules for evaluating the integrals of volume, area and so on.
What is meant by the Antiderivative?
In calculus terms, an antiderivative is a function f which is a differentiable function F where the derivative is equitable to the initial function f and is often termed as inverse derivative, primitive integral, primitive function or indefinite integral. The antiderivative can be symbolically represented as F’ = f and the process of deriving for antiderivatives is known as antidifferentiation or indefinite integration and the opposite is known as differentiation which is referred to the process of looking for derivatives. An antiderivative is denoted as capital Roman letter as the F and G. Further, antiderivative is referred to the definite integrals from the fundamental theorem of the calculus, which is referred to the definite integral of the function over the closed interval from where the function is a Riemann integrable which is equitable to the difference among the antiderivative values being evaluated over the endpoints of intervals. The antiderivative of f(x) = x2 is the function F(x) – x3/3, where the derivative of x3/3 is x2.
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Why Should You Use Our Antiderivative Calculator?
The antiderivative calculator will support the user while practicing while showing the entire working in a step by step integrated process where the common integration method and even the special function are supported. The antiderivative calculate will support both the definite as well as indefinite integrals which are also known as antiderivatives along with the integrating functions among several variables. The answers can be checked through an Interactive graph or plot which can help in visualising and understanding the function better. For using the antiderivative calculator, the first step is to enter the function, whose integration is required, within the integral calculator. The calculator will help by showing the graphical version if the input on basis of the input provided and it is essential to make sure that the answer what the user is exactly looking for. The user can also utilise parentheses, when required. Therefore, there are three necessary steps to be follow;
- Step 1:- To enter the function within the field.
- Step 2:- Click on the button SOLVED in order to get the antiderivative.
- Step 3:- The function of the antiderivative will be displayed on the screen.
Enjoy Additional Features with Our Antiderivative Calculator
Some of the additional features which can be availed from our antiderivative calculator such as there are several utilisation of integration such as it provides the user with the curve’s average value, the area existing between the two curves, the gravitational centre along with the mass’s centre. There are generally two types of integrals which can be used within the antiderivative calculus such as;
- Indefinite antiderivative: Where the integrals does not contain any specific limits, where the final value of integral is considered to be indefinite. For integrating the derivative of the function says that g’(x) will become a function itself.
- Definite antiderivatives: Where the integrals have to be the defined limit with the pre-existing values are referred to the definite integrals. Here, such an antiderivative can be further utilised to look for the area underneath the curve among the two provided points which further acts as a limit.
A definite antiderivative can be portrayed as value or number when the lower bounds and the upper bounds are constant, where on the other hand, indefinite antiderivatives is referred to the group of function who derivations are referred to as f. Therefore, the difference between the two lies between the two functions are constant.
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How does antiderivative calculator work? - Step by step calculation
Antiderivative calculators helps in finding the functions’ antiderivative in a step by step by manner with respect to the variables, that is, x, y, or z, where through this integrated calculator present online which even supports the calculation of upper bound and lower bound whenever the user is working with the maximum value or minimum value of the intervals. For finding functions’ antiderivative or integral following steps can followed;
Step 1:- To first select a definite or indefinite option.
Step 2:- To enter the function in the box given.
Step 3:- To click on the ‘LOAD EXAMPLE’ option, whenever a sample example is required.
Step 4:- To specify the value and setting a X by default.
Step 5:- Entering the lower and upper bound limit, in case of definite integral calculation.
Step 6:- To click on calculate option for reaching the step by step calculation results.
How to Use This General Antiderivative Calculator?
The general antiderivative calculator can be utilised by entering the function which is required to be integrated within the antiderivative calculator. The calculator will then provide a graphical version of the input and parentheses can be utilised, if and when necessary. After entering the input into the box, GO is clicked in order for the results to be shown.
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Most Popular Questions Searched By Students:
Q.1. What Is Antiderivative and Antiderivative Calculator?
Antiderivative is referred to the function f(x) which is also a function whose derivative is equitable to f(x). It is the opposite of derivatives and is a function which reverse of the derivative function. Antiderivative calculator, on the other hand, is an online device which finds the functions’ integral value and calculates the value of the provided indefinite integrals.
Q.2. What is the antiderivative of tan(x) dx?
Integral tan(x) tan x = - In |cos x| + C
Q.3. How to find Antiderivative (Integral)?
In order to look for an antiderivative of the function f, it is suggested to reverse the entire process of the differentiation. Such as for instance, if f = x4, then the antiderivative of f can be written as F = x5, which is found by reversing the rule of power.
Q.4. What is the difference between definite and indefinite integral?
The difference which exists between the definite and indefinite integrals is that the definite integral can be defined as one of the integrals that has a lower and an upper limit along with a constant value in the form of a solution, however, on the other hand, an indefinite integral is known as internal which does not possess any limits which are to be applies within it and provides a general problem for the sum.
