# Sine of e?

Calculus Level 3

If $$2f(x) + f(-x) = \frac 1x \sin\left( \frac{x^2-1}x \right)$$ for $$x > 0$$, then what is the value of the integral below?

$\large \int_{\frac 1e}^e f(x) \, dx$

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