Use this free online integral calculator to find common indefinite integrals quickly. The tool is built for everyday calculus practice and protected with daily request limits.

Built for checking calculus work

Use the calculator to compare your own setup, interpretation, final answer, and steps. The page is meant for study review, not only answer lookup.

Readable math input

The equation box supports familiar calculus notation, variables, bounds, and examples so students can test nearby problems while learning the method.

Review before trusting

Every automated solution should be checked against the displayed interpretation, especially for domains, constants, discontinuities, and ambiguous notation.

Calculus Guides

Review worked examples and common mistakes before using the calculator.

Integrals How to Solve Indefinite Integrals Step by Step Integrals U-Substitution Explained With Examples Integrals Integration by Parts Explained With Examples Integrals Improper Integrals: Convergence and Divergence Derivatives Derivative Rules Every Student Should Know Derivatives Chain Rule, Product Rule, and Quotient Rule

Educational review approach

Integralcalculator.info combines calculator output with written study notes, worked examples, common mistake warnings, and correction links. The goal is to help learners understand the reasoning behind each answer.

Accuracy and corrections

Automated math can misunderstand notation or assumptions. Visitors are encouraged to review the interpretation and use the contact page to report unclear steps or incorrect results.

Integral Calculator

Find indefinite integrals and antiderivatives for common calculus expressions.

Use this calculator as a study checker

Enter the problem carefully, review the interpreted input, and compare each step with your own work. Calculus results can depend on notation, variables, bounds, domains, and assumptions.

  • Check the method before copying the answer.
  • Use the examples below to test nearby problems.
  • Read the calculus guides for worked explanations.

Solution

50 study checks today

Enter an expression or choose an example to calculate.

Integral Examples

What this calculator is for

An indefinite integral finds a family of functions whose derivative is the original expression. The constant of integration matters because many functions can have the same derivative. Use it to check your setup, compare steps with your own work, and review the meaning of the final expression before copying it into homework.

How to approach an indefinite integral

  1. Check the variable of integration and rewrite the integrand in a clean algebraic form.
  2. Look first for direct rules such as the power rule, exponential rules, logarithmic rules, and trig antiderivatives.
  3. If no direct rule fits, try substitution, algebraic simplification, trigonometric identities, or integration by parts.

Manual example

  1. Problem: \(\int (3x^2+4x-5)\,dx\).
  2. Integrate each term separately: \(\int 3x^2\,dx=x^3\), \(\int 4x\,dx=2x^2\), and \(\int -5\,dx=-5x\).
  3. Final result: \(x^3+2x^2-5x+C\). The constant \(C\) is required for indefinite integrals.

Common mistakes to avoid

  • Forgetting the constant of integration.
  • Treating a product like \(x\sin x\) as two separate integrals without using a valid rule.
  • Entering a bound when the task is an indefinite integral.

When to double-check the result

The calculator is useful for common symbolic antiderivatives. Very unusual special functions, hidden domains, or ambiguous notation should be checked against the displayed interpretation.