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Question Id : 14798 | Context : JEE Main 2025 (3 April Morning Shift)
Let the domain of the function $f(x) = \log_2 \log_4 \log_6 (3 + 4x - x^2)$ be $(a, b)$. If $\int_0^{b - a} [x^2] , dx = p - \sqrt{q - \sqrt{r}}, ; p, q, r \in \mathbb{N}, ; \gcd(p, q, r) = 1$, where $[,]$ is the greatest integer function, then $p + q + r$ is equal to


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