Problem
Compute the energy and power of x(t) = $ (t+1/2)^2 $
Energy
$ E=\int_{t_1}^{t_2}x(t)dt $
$ E=\int_0^{5}{(t + 1/2)^2dt} $
$ E = \dfrac{1}{3}(t+1/2)^3|_{t=0}^{t=5} $
E = 1331/24-1/24=665/12
Power
$ P=\dfrac{1}{{t_2}-{t_1}}\int_{t_1}^{t_2}x(t)dt $
$ P = E*.5 $
P = 665/6
