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

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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

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

Manual example

Problem: \(\int (3x^2+4x-5)\,dx\).
Integrate each term separately: \(\int 3x^2\,dx=x^3\), \(\int 4x\,dx=2x^2\), and \(\int -5\,dx=-5x\).
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.