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Integral Calculator

Calculate indefinite antiderivatives or definite integrals for common functions. View the formula, numerical value, and step-by-step integration process instantly.

Enter integral details

01

Integral result

02
RESULT
9
Antiderivativex³/3
MethodPower rule
∫₀³ x² dx = 9
Calculated successfully

Step-by-step solution

Integration formulas

Power rule: ∫xⁿdx = xⁿ⁺¹/(n+1) + C, for n ≠ −1.
Definite integral: ∫ₐᵇf(x)dx = F(b) − F(a).
Special case: ∫(1/x)dx = ln|x| + C.

Frequently asked questions

What is an indefinite integral?

An indefinite integral gives a family of antiderivatives and includes the constant of integration, C.

What is a definite integral?

A definite integral evaluates the signed area accumulated between two bounds and returns a number.

Can this calculator handle every function?

This light version focuses on polynomials and common elementary function families. It is designed for quick learning and verification.

Math Calculation Disclaimer

Results are estimates generated locally in your browser using standard mathematical formulas. They are for informational and educational purposes only and are not a substitute for verification in coursework, examinations or professional contexts requiring certified accuracy. VisionVix accepts no liability for decisions based on this tool's output.

Note: Definite integrals are evaluated from the displayed antiderivative when available and checked numerically with Simpson’s rule. Results are intended for education and verification.
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