Free Online
Indefinite Integral Calculator
Find the general solution for any integral. Accurate, fast, and easy to use.
Why Use Our Indefinite Integral Tool?
We help you find the antiderivative quickly and accurately.
Fast Solutions
Get the result in milliseconds.
Symbolic Math
Handles complex algebraic and trigonometric functions.
Step-by-Step
Learn how the integral is solved.
What is an Indefinite Integral?
An indefinite integral represents the family of all antiderivatives of a function f(x). It is the reverse process of differentiation.
Unlike a definite integral, which calculates a number (area), an indefinite integral returns a function plus an arbitrary constant C.
Common Integration Rules
| Rule Name | Formula |
|---|---|
| Power Rule | ∫ x^n dx = (x^(n+1))/(n+1) + C |
| Constant Multiple | ∫ k·f(x) dx = k · ∫ f(x) dx |
| Sum Rule | ∫ (f + g) dx = ∫ f dx + ∫ g dx |
| Exponential | ∫ e^x dx = e^x + C |
| Natural Log | ∫ (1/x) dx = ln|x| + C |
How to Use This Calculator
- 1Enter the function.
- 2Select the variable of integration.
- 3Click "Calculate Solution".
Frequently Asked Questions
What is the difference between definite and indefinite integrals?
Definite integrals calculate a number (area) over an interval, while indefinite integrals find a function (antiderivative).
Why do we add C?
The constant C represents the family of functions that have the same derivative.
Can it solve complex integrals?
Yes, it uses advanced symbolic integration to handle a wide range of functions.
Is this calculator free?
Yes, it is completely free to use.