Calculadora de Integral (Regla de la Potencia) — Fórmula

Power Rule for Integration

Rule

integral of ax^n dx = (a/(n+1)) × x^(n+1) + C (when n ≠ -1)

For n = -1, the integral is a × lnx + C.

Definite Integral

Evaluate the antiderivative at the upper and lower bounds and subtract:

F(upper) - F(lower)

Ejemplo Resuelto

Integrate 6x² from 0 to 3.

  1. Antiderivative: (6/3)x³ = 2x³
  2. F(3) = 2 × 27 = 54
  3. F(0) = 2 × 0 = 0
  4. Definite integral = 54 - 0 = 54