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Integral Calculator

An indefinite integral of f is a function F whose derivative is f, written F(x) + C.

Write integral x^2 dx or ∫ x² dx. Polynomials use the power rule for integration.

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Example problems

How this solver works

  1. Extract the integrand.
  2. Integrate term by term for polynomials.
  3. Add C.

Formula

Valid for n ≠ −1.

Worked examples

∫ x^2 dx

  1. x^3/3 + C

Answer: x^3/3 + C

Common mistakes

Dividing by the old exponent

Raise the power first, then divide by the new exponent.

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Frequently asked questions

Does this do definite integrals?

The first version emphasizes antiderivatives. Evaluate F(b) − F(a) by hand using the result, or ask in a later update.

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