# Integrate It Man!

Calculus Level 4

$\large \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \frac{x^2 \cos x}{1+e^x} \, dx = \frac{\pi^n}{a}-b$

The equation above holds true for integers $a,b$ and $n$. Find $a+b+n$.

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