# You can easily figure out f

Calculus Level 4

$2f(x) + f(-x) = \frac {1}{x} \ \sin \left ( x - \frac 1 x \right )$

Find the value of $$\large \displaystyle \int_{\frac{1}{e}}^{e} f(x) \ \mathrm dx$$ if $$f$$ satisfies the condition above.

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