Integration in Frequency Domain

[yukari1310]

How to integrate $$\int_{-0.5}^{0.5} {\bigg({\frac{1}{4-2e^{-j2{\pi}f}}}\bigg)}^2 df$$

 

[BvU]

Homework Statement

Homework Equations

The Attempt at a Solution

[/B]
Hello again; must be you forgot how PF homework sections work: you are supposed to make an effort yourself.
In the mean time I do wonder where this comes from and what the problem statement really is: you now seem to be wanting to integrate a complex function over a section of the real axis ?

 

[yukari1310]

I did try it somewhere else using integration by parts but the function to be integrate just got more complicated as I go on.
I am suppose to find the energy signal of a DTFT [ie X(f)] signal. The range defined is over the principal period of the DTFT signal.

 

[BvU]

Isn't the energy a real number ?

 

[yukari1310]

Yeah? So can you give me some hints on how to integrate the complex function?

 

[HallsofIvy]

I would think a rather obvious substitution would be $u= 4- 2e^{j2\pi f}$. Did you try that? What do you get?