# You're kidding, right?

Calculus Level pending

$\int\limits_0^\pi{\frac{{{x^2}}}{{\sqrt 5-2\cos x}}}\operatorname d\!x$

If the solution of the above integral can be depicted as:

$\frac{{{\pi^a}}}{{b}}+2\pi \ln^c \left({\frac{{d+\sqrt e }}{f}}\right)$

then what is the value of $$a+b+c-d+e-f$$

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