$\int_6^{16} \frac{\log _e x^2}{\log _e x^2+\log _e\left(x^2-44 x+484\right)} d x$ is equal to. [JEE Main 2021, 27 Aug (Shift 1)]

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\(\int_6^{16} \frac{\log _e x^2}{\log _e x^2+\log _e\left(x^2-44 x+484\right)} d x\) is equal to. [JEE Main 2021, 27 Aug…