# Constant Integrand?

Calculus Level 3

$\large \int_{-1}^3 \left(\arctan\left(\dfrac x{1+x^2}\right) + \arctan\left(\dfrac {1+x^2}x \right)\right) \, dx$

If the above integral can be expressed as $A\pi^B$, where $A$ and $B$ are natural numbers. Find $A+B$

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