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Energy

$ E = \int_{t1}^{t2}{|x(t))|^2dt} $

Usint this result let us consider an example,

$ = \int_{0}^{2 \pi}{|cos(t)|^2dt} $

$ =\int_{0}^{2\pi}\frac(1+cos(2t)}{2}dt $ $ =\frac{2\pi}{2}+\frac[1}{4}sin(4\pi) $ $ =\{1\pi} $

Power

$ P = \frac{1}{2 \pi - 0} \int_{0}^{2 \pi}{|cos(t)|^2dt} $

$ = \frac{1}{2 \pi} \int_{0}^{2 \pi}\frac{[1 + cos(2t)]}{2}dt $


$ =\frac{1}{2} $

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