Indefinite Integral Calculator

The Indefinite Integral Calculator allows users to compute the indefinite integral of various mathematical function types such as polynomial, exponential, trigonometric, and logarithmic functions, providing results with domain restrictions.

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Step-by-Step Guide to Using the Indefinite Integral Calculator

Introduction

This guide will walk you through the steps to effectively use the Indefinite Integral Calculator. The calculator is designed to compute the indefinite integral of various function types with specified coefficients and parameters. Follow the steps below to input your data correctly and obtain the desired results.

Step 1: Select Function Type

Function Type:
Choose the type of function you wish to integrate from the available options:

  • Polynomial (x^n): Use this option for polynomial functions where the variable is raised to a power.
  • Exponential (e^x): Select this for exponential functions with base ‘e’.
  • Trigonometric (sin x, cos x): Pick this for trigonometric functions such as sine and cosine.
  • Logarithmic (ln x): Choose this for logarithmic functions.

Step 2: Enter Coefficient

Coefficient:
Enter the coefficient ‘a’ for your function. This is a required field, and the input should be within the range of -1000 to 1000, with increments of 0.1.

Step 3: Specify Exponent (for Polynomial Functions)

Exponent:
If you’re integrating a polynomial function, enter the exponent ‘n’. This field is optional for other function types and is validated within a range of -100 to 100, in steps of 1.

Step 4: Set the Integration Constant

Integration Constant (C):
Optionally input a constant term for the integral. This field can have values between -1000 and 1000, with 0.1 as the smallest allowable step size.

Step 5: View the Result

Indefinite Integral Result:
After entering the required values, the calculator will display the indefinite integral of the function. The result considers the provided coefficients and parameters, formatted to two decimal places.

Step 6: Understand Domain Restrictions

Domain Restrictions:
The calculator will also provide information about domain restrictions, crucial for understanding where the function and its integral are valid. The restrictions will depend on the type of function you selected:

  • For polynomial functions with negative exponents, ‘x ≠ 0’.
  • For logarithmic functions, ‘x > 0’.
  • For exponential and trigonometric functions, all real numbers are valid.