You can easily figure out f

Calculus Level 4

2f(x)+f(x)=1x sin(x1x) 2f(x) + f(-x) = \frac {1}{x} \ \sin \left ( x - \frac 1 x \right )

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

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