Math & NumbersFree Tool

Integral Calculator

Provided bySymbolabsymbolab.com

Evaluates definite and indefinite integrals with substitution and integration-by-parts steps shown.

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Screenshot of Integral Calculator on Symbolab
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About this tool

What Integral Calculator does

The Integral Calculator on Symbolab evaluates both definite and indefinite integrals, supporting a wide range of functions from basic polynomials to advanced transcendental expressions. Users receive a final antiderivative or a computed value over specified bounds, accompanied by a visual representation of the integral when applicable. The output includes the steps required to reach the solution, allowing users to follow the logical progression of the calculation. It serves as a reliable reference for anyone needing to verify manual work or explore the mechanics of integration without performing every algebraic manipulation by hand.

Step by step

How to use the Symbolab Integral Calculator

  1. 1

    Go to the Integral Calculator on Symbolab

  2. 2

    Enter the mathematical function you wish to integrate using standard notation

  3. 3

    Select whether you are solving for an indefinite integral or specify the lower and upper bounds for a definite integral

  4. 4

    Submit the expression to generate the solution

  5. 5

    Review the step-by-step breakdown and the final result displayed

Is it right for you

Best for

Students and professionals in mathematics, physics, or engineering who need to solve integral problems, verify manual calculations, or understand the step-by-step application of techniques like substitution and integration by parts.

Limitations

  • Results depend on the correct mathematical notation of the input function
  • Complex expressions may require manual simplification before entry
  • The tool provides computational solutions and does not replace formal coursework
Questions

Integral Calculator FAQ

Can the Integral Calculator handle trigonometric and logarithmic functions?
Yes, the tool supports a wide variety of functions including trigonometric, exponential, and logarithmic expressions, processing them using standard calculus rules.
Does the tool show the steps for integration by parts?
Yes, when applicable, the calculator displays the steps for integration by parts, breaking down the selection of u and dv and showing the resulting simplification.
Is it possible to calculate a definite integral with infinite bounds?
The calculator is designed for definite integrals with finite upper and lower limits; infinite bounds are not supported in the current interface.
What should I do if my input results in an error?
Check that the function is entered using correct mathematical syntax; ensure all variables and operations are properly formatted before submitting.
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