Browser math worksheet

Integral Calculator

Find a draft antiderivative or definite integral, then review the steps before using it in homework, notes, or a study guide.

Try common patterns such as x^2 + 3x, sin(x), cos(x), e^x, or 1/x.

Integral type

Draft result

Antiderivative preview

Common pattern
Input
x^2 + 3x
Antiderivative
x^3 / 3 + 3x^2 / 2 + C
Definite value
Switch to definite mode to evaluate bounds.

Steps to review

  1. Split the expression into terms.
  2. Apply the power rule to each supported polynomial term.
  3. Add the constant of integration for an indefinite integral.

For an indefinite integral, include the constant of integration because many functions can share the same derivative.

How to use this integral calculator

  1. Enter one expression in the variable you choose. The integral calculator supports several common classroom patterns rather than every symbolic form.
  2. Choose indefinite mode when you want an antiderivative with + C, or choose definite mode and enter lower and upper bounds.
  3. Select Calculate Integral to produce a draft result, a step list, and a short interpretation.
  4. Copy or download the result, then review the algebra before submitting or sharing your work.

What the tool supports

This integral calculator is intentionally focused. It can integrate constants, a variable, polynomial terms such as x^4 or 3x^2, sin(x), cos(x), e^x, and 1/x. It also handles simple sums and differences of those terms.

When the expression is outside that set, the result panel explains that the current browser tool cannot safely produce a draft. That is better than guessing at an integral solution for substitution, integration by parts, or a more advanced symbolic transformation.

When this worksheet is useful

Use the calculator when you want a quick study check for a common antiderivative, a definite integral with simple numeric bounds, or a plain-text set of steps to compare with your own work. It is especially useful for reviewing the power rule, checking the sign on a sine or cosine integral, and remembering when an indefinite answer needs the constant of integration.

For multi-step techniques, use the result as a prompt for what to review next rather than as a final answer. If the expression needs substitution, integration by parts, or a special identity, the page will ask you to simplify or use a fuller symbolic tool.

Examples

Result review checklist

  • Differentiate the antiderivative to see whether it returns your original expression.
  • For a definite integral, confirm the lower bound and upper bound were entered in the intended order.
  • Keep + C on indefinite answers unless your class or note format says otherwise.
  • Use a full computer algebra system or instructor guidance for substitution, integration by parts, piecewise functions, and advanced trigonometric identities.

Privacy and processing

The calculator runs in your browser with the JavaScript included on this page. It does not require an account, upload files, or send expressions to a calculation server. If you copy or download a result, that action uses the current text visible in the result panel.

Integral calculator FAQ

Does this integral calculator show steps?

Yes. It shows short reviewable steps for supported patterns such as the power rule, basic trigonometric rules, exponential functions, and the natural logarithm result for 1/x.

Can it calculate definite integrals?

Yes, when the expression is supported and both bounds are numeric. The tool evaluates the antiderivative at the upper and lower bounds and subtracts the values.

Why does an indefinite answer include + C?

An indefinite integral represents a family of functions. The constant of integration accounts for functions that differ by a constant but have the same derivative.

What if my expression is not supported?

The result panel will say that the expression needs review instead of inventing an answer. Try simplifying the expression or using a full symbolic calculator for advanced methods.

Is this a course authority for calculus answers?

No. The page is an independent educational tool. Use it to draft and check common integral work, not as a replacement for course instructions, textbooks, or instructor guidance.

Can I use the result for homework?

You can use the draft to study the method, but review the algebra and follow your instructor's rules before submitting anything.