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Revision as of 15:59, 5 September 2008
Calculating the Energy of a Function
To calculate the energy of a function, use the following equation.
$ E=\int_{t1}^{t2}{|f(t)|^2dt} $
For clarity, follow the example below.
$ E=\int_{0}^{2\pi}{|2sin(t)|^2dt} $
$ E=2\int_{0}^{2\pi}{|sin(t)|^2dt} $
$ =\int_0^{2\pi}(1-cos(2t))dt $
$ =(t-\frac{1}{2}sin(2t))|_{t=0}^{t=2\pi} $
$ = t=2\pi} $
