(Energy)
m (Energy)
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<math>E=\int_0^{2\pi}{|sin(t)|^2dt}</math><br>
 
<math>E=\int_0^{2\pi}{|sin(t)|^2dt}</math><br>
 
<math> =\int 0^(2\pi){\frac(1+sin(2t))/(2)dt)</math>
 
<math> =\int 0^(2\pi){\frac(1+sin(2t))/(2)dt)</math>
 +
<math>=\frac{\int_0^{2\pi}(1+cos(2t))dt}{2}</math>

Revision as of 18:25, 2 September 2008

x(t) = sin t

Energy

$ E=\int_0^{2\pi}{|sin(t)|^2dt} $
$ =\int 0^(2\pi){\frac(1+sin(2t))/(2)dt) $ $ =\frac{\int_0^{2\pi}(1+cos(2t))dt}{2} $

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

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