Let $x(t)=10\cos(100t+300°)-5\sin(220t - 50°)$ . It is asked to evaluate the following integrals:
$$\int_{-\infty}^\infty |x(t)|^2 dt \text{ and } \frac{1}{T} \int_{-T}^T |x(t)|^2 dt$$
Where $ T$ is the period of this function(which is 18).
I was wondering if is that a easy way to evaluate this whithout calculating the integral of the trigonometric functions. Also, I dont knoe how to do this with this modulus.
Thanks in advace!