Let's do some calculus! (51)

Calculus Level 5

$I = \large \int_0^{\infty} \dfrac{\ln \left(1 + 3844 x^2 \right)}{ 1 + 961 x^2 } \ \mathrm{d}x$

If $I = \dfrac{\pi}{a} \ln (b)$ , then evaluate $a+b$ .

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