Integral (Power Rule) Calculator — Formel
## 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 × ln|x| + C.
### Definite Integral
Evaluate the antiderivative at the upper and lower bounds and subtract:
**F(upper) - F(lower)**
### Rule
**integral of ax^n dx = (a/(n+1)) × x^(n+1) + C** (when n ≠ -1)
For n = -1, the integral is a × ln|x| + C.
### Definite Integral
Evaluate the antiderivative at the upper and lower bounds and subtract:
**F(upper) - F(lower)**
Lösungsbeispiel
Integrate 6x² from 0 to 3.
- Antiderivative: (6/3)x³ = 2x³
- F(3) = 2 × 27 = 54
- F(0) = 2 × 0 = 0
- Definite integral = 54 - 0 = 54