For the validation purporses I need to know any analitical formula of the integral (see the picture)

I have tried to find something in different Tables of integrals like Gradshteyn and Ryzhik... Nothing was found.

Using the Mathematical packages (Mathematica or Maple) is also does not allow to recieve any result even for f(x) = constant.

Is it possible to apply some analitical methods for this integral?

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