# It's an even function right?

Calculus Level 4

$\large \int_{-\frac \pi 2}^{\frac \pi 2} \left [ \cos(x) \left(x^2 + \ln \left( \frac{\pi-x}{\pi+x} \right)\right) \right ] \, dx$

If the integral above equals to $$\frac{\pi^A - B}{A}$$ for integers $$A,B$$, what is the value of $$A+B$$?

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