Calculate indefinite and definite integrals online. Features step-by-step symbolic derivation, numerical Simpsons fallback, and area plots.
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How to Use Integral Calculator with Graph
Choose between Indefinite or Definite integration mode.
Enter the function expression to integrate.
Specify upper and lower limits if Definite mode is active.
Review the calculated anti-derivative, numeric area-under-curve, and highlighted SVG shape plotting.
The Fundamental Theorem of Calculus
Integration connects areas under curves with anti-derivatives. A definite integral evaluates the net accumulated area between bounds, while the indefinite integral gives the families of antiderivative functions.
Frequently Asked Questions
How is defnite integration solved numerically?
If the symbolic engine cannot resolve the antiderivative, it falls back to Simpson's numerical integration rule for precise area estimation.