Antiderivative Calculator

Using the Antiderivative Calculator

This guide will walk you through the process of using the Antiderivative Calculator to find antiderivatives of various types of functions. Be sure to follow each step carefully to obtain accurate results.

Step 1: Select the Function Type

Begin by selecting the type of function you want to integrate. The options available are:

• Polynomial (xⁿ)
• Exponential (eˣ)
• Trigonometric (sin x, cos x)
• Logarithmic (ln x)

Select one from the list to proceed.

Step 2: Enter the Coefficient (a)

In the designated input field, enter the coefficient value for your function. This should be a numerical value, and you can use decimal steps of 0.1 for more precise inputs. This field is required and should not be left blank.

Step 3: Enter the Exponent (n)

If you have selected a polynomial function, you’ll need to specify the exponent. Enter a numerical value for the exponent, ensuring to follow integer steps of 1. This input is mandatory. If you’ve selected a function type other than a polynomial, you may skip this step as it is not applicable.

Step 4: Specify the Integration Constant (C)

Provide a value for the integration constant. This step is necessary for solving indefinite integrals where a constant of integration is added. You may input this in decimal steps of 0.1.

Step 5: Review the Result

Once all the necessary fields are filled, the calculator will display the antiderivative of the entered function. It calculates the result using the appropriate formula based on the selected function type and inputs.

• The calculated antiderivative will appear in the result field, formatted to two decimal places.
• If the inputs do not correspond to a valid function type, the calculator will provide an error notification of “Invalid input”.

Step 6: Understand the Domain of Validity

The calculator will also provide information about the domain of validity for the antiderivative. Depending on the function type, the domain will be outlined as follows:

• For polynomial functions with exponent -1, the domain is x ≠ 0.
• For logarithmic functions, the domain is x > 0.
• All other function types have the domain of All real numbers.

By following these steps, you can effectively utilize the Antiderivative Calculator to solve a wide range of integration problems.