Mathematics & Statistics / Calculus

Integral Calculator

Calculator

Integral Calculator

About This Calculator

This integral calculator helps you move from raw inputs to a decision-ready output in seconds.

Solve definite and indefinite integrals online and review formula structure with worked examples for calculus practice and verification.

If your workflow expands, pair this calculator with Derivative Calculator and Limit Calculator to cross-check assumptions and build a stronger analysis chain.

Formula

∫ f(x) dx = F(x) + C | Definite: ∫[a,b] f(x) dx = F(b) - F(a)

Example Calculation

The worked example below demonstrates how the input fields translate into the final output. Use it as a quick validation pass before entering your own numbers.

  • function: x^2
  • bounds: 0 to 3

Explanation of Results

Result Interpretation

The definite integral of x² from 0 to 3 equals 9, representing the signed area under the curve over that interval.

FAQ

What is the difference between definite and indefinite integrals?

Indefinite integrals return a family of antiderivatives plus C, while definite integrals return one numeric value over specified bounds.

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