We have this signal:
$$x(t)= 2 + 2\cos(2\pi f_0 t) + \frac{2}{T_0} \operatorname{sinc}\left(\frac{2 t}{T_0}\right)e^{j2 \pi 4/ T_0} + \operatorname{sinc}\left(\frac{2 t}{T_0}\right)e^{-j2 \pi 4/ T_0}.$$
I have calculate Fourier trasformed and have found: $$ X(f)=\delta(f)+ \delta(f-f_0) + \delta(f+f_0) + \operatorname{rect}\left(\frac{f-\frac 4{T_0}}{\frac 2{T_0}}\right) + \operatorname{rect}\left(\frac{f+\frac 4{T_0}}{\frac 2{T_0}})\right) $$
I must find the average power. If use Parseval's have: \begin{align} P_x&=\frac{1}{T_0} \int_{-\infty}^{\infty}\lvert X(f)\rvert^2df \\ &= \frac 1{T_0}\left(\int\lvert\delta(f)+\delta(f+f_0)+\delta(f−f_0)+\operatorname{rect}+\operatorname{rect}\rvert^2df\right). \end{align} How can I solve this?