E infinity and P infinity calculations - William Owens (wtowens) - Rhea

$ x(t) = \sqrt(t) $

$ x(t) = \cos(t) + \jmath\sin(t) $

$ E_\infty = \int_{-\infty}^\infty |x(t)|^2\,dt $

    $ =\int_{-\infty}^\infty |\sqrt(t)|^2\,dt $
    $ =\int_0^\infty t\,dt $
    $ =.5*t^2|_0^\infty $
    $ =.5(\infty^2 - 0^2) $

$ E_\infty = \infty $

$ P_\infty = lim_{T \to \infty} \ 1/(2T) \int_{-T}^T |x(t)|^2\,dt $

    $ = lim_{T \to \infty} \ 1/(2T) \int_{-T}^T |\sqrt(t)|^2\,dt $
    $ lim_{T \to \infty} \ 1/(2T) \int_{-T}^T .5*t^2|_{-T}^T $