# Limit of a Definite Integral #5

Calculus Level 4

$\large{L=\lim_{n \to \infty} \int_{-n}^{n} \dfrac{dx}{(x^2+1)(e^x+1)}}$

If $L$ can be expressed as ${\dfrac{\pi^A}{B}}$ where $A,B$ are positive integers, then find the value of $A+B$.

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