(→Energy) |
(→Energy) |
||
| Line 2: | Line 2: | ||
== Energy == | == Energy == | ||
<math>E=\int_0^{2\pi}{|sin(t)|^2dt}</math><br> | <math>E=\int_0^{2\pi}{|sin(t)|^2dt}</math><br> | ||
| − | <math>=\frac{\int_0^{2\pi}(1 | + | <math>=\frac{\int_0^{2\pi}(1-cos(2t))dt}{2}</math> |
| + | <math>=\frac{t-\frac{1}{2}sin(2t)}{2}|_{t=0}^{t=2\pi}</math> | ||
Revision as of 19:28, 2 September 2008
x(t) = sin t
Energy
$ E=\int_0^{2\pi}{|sin(t)|^2dt} $
$ =\frac{\int_0^{2\pi}(1-cos(2t))dt}{2} $
$ =\frac{t-\frac{1}{2}sin(2t)}{2}|_{t=0}^{t=2\pi} $
