Fourier series calculate $f^2$

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I have the function\fourier series

$$ f(x) = \frac{1}{4} + \sum_{i=0}^\infty \frac{1}{3^k}\cos(2kx) $$

and I am asked to compute the integral

$ \int_{0}^\pi f(x)^2 dx$

How do I proceed? I think I should use Parseval's identity, but my attempts failed, and I don't know how the fact that the period is $\pi$ might affect the calculation

Thanks!