Calculus & Numerical Methods
RMS of a Function
Root-mean-square of f over [a, b].
Formula
Formula
√(1b−a) ∫ab f2 dx
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| f | function | expression / text | x | input |
| a, b | interval | real number (ℝ) | — | input |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givenf(x) = sin(x), a = 0, b = 6.283185307, intervals n = 1000
Result0.7071067812
Example 2
Givenf(x) = x, a = 0, b = 2, intervals n = 1000
Result1.154700827