AI Math SolverAn integral calculator finds antiderivatives and definite integrals. Enter a function (and bounds if needed) to get the result with each integration rule applied step by step.
Integration accumulates quantities. Geometrically, a definite integral gives the signed area between a curve and the x-axis over an interval; algebraically, it reverses differentiation.
The solver tries the power rule first, then substitution, then integration by parts, and handles polynomial, rational, and basic trigonometric and exponential functions — explaining the chosen method at each step.
An integral reverses a derivative. For a power function, the basic rule adds one to the exponent and divides by the new exponent: ∫xⁿ dx = xⁿ⁺¹/(n+1) + C.
An indefinite integral gives a family of functions plus a constant C. A definite integral evaluates that family between two bounds to produce a single number — the signed area under the curve.