Antiderivative Calculator
Antiderivative Calculator works out Antiderivative and Integral from Integrand f(x), Integrate with respect to and Decimal places in the numeric answer. The default figures on this page give antiderivative of x^3 / 3 + C; change any entry and the result, the working and the sources update together.
Your figures
Updates as you typeHow this is worked out
3 steps
- Integrand: f(x) = x^2
- Antiderivative: F(x) = x^3 / 3
- Check by differentiating back: d/dx [F(x)] = x^2, which is the integrand.
Its 6 worked examples are re-run on every release, last on 15 September 2026. What changed
Sources and references
3 sources
What the Antiderivative Calculator calculates
Finds the indefinite integral (antiderivative) of an expression symbolically and evaluates definite integrals, verifying every symbolic answer by differentiating it back and cross-checking definite values against numeric quadrature.
How to use this Antiderivative Calculator
Enter Integrand f(x), Integrate with respect to and Decimal places in the numeric answer. Antiderivative updates as you type. Change one figure at a time to see what drives the result.
How the result is worked out
Open “How this is worked out” beside the result for the step-by-step calculation behind Antiderivative, Integral and Value of the definite integral.
The method follows OpenStax, Calculus Volume 1, chapter 5: Integration (the definite integral, the Fundamental Theorem of Calculus, substitution), OpenStax, Calculus Volume 2, section 3.1: Integration by Parts and NIST Digital Library of Mathematical Functions, chapter 4: Elementary Functions (antiderivative table).
What you can compare
Change one input at a time to see how it affects Antiderivative, Integral and Value of the definite integral. The inputs you can vary are Integrand f(x), Integrate with respect to and Decimal places in the numeric answer.
Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.
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Frequently asked questions
Can you do antiderivatives on a calculator?
Finds the indefinite integral (antiderivative) of an expression symbolically and evaluates definite integrals, verifying every symbolic answer by differentiating it back and cross-checking definite values against. Put your own figures in above and the working updates beside the result. For scale, the default figures on this page give x^3 / 3 + C.
How to calculate antiderivatives?
Finds the indefinite integral (antiderivative) of an expression symbolically and evaluates definite integrals, verifying every symbolic answer by differentiating it back and cross-checking definite values against. Open “How this is worked out” beside the result to see each step for your own figures.
What is the antiderivative of 7x?
On the figures this page opens with, the antiderivative is x³ / 3 + C. No single number fits everyone: it follows Integrand f(x), Integrate with respect to and Decimal places in the numeric answer, so enter your own above and the answer updates as you type.
What information do I need for the Antiderivative Calculator?
You need Integrand f(x), Integrate with respect to and Decimal places in the numeric answer. The page opens with default figures that give antiderivative of x^3 / 3 + C, so you can see the scale before entering your own.
What does this Antiderivative Calculator show?
It shows Antiderivative, Integral, Value of the definite integral, How it was evaluated, Verified by differentiating back, F(a), F(b) and Value rounded for display, with the working and any warnings for your entries.
Can I check how the Antiderivative Calculator result was calculated?
Yes. The “How this is worked out” section shows the calculation steps, and the sources section identifies the references used for the method.