JEE MAIN - Mathematics Hindi (2022 - 27th June Evening Shift - No. 5)

समाकलन $$\int\limits_{0}^{1} \frac{1}{7^\left[\frac{1}{x}\right]} d x$$, जहां [ . ] महत्तम पूर्णांक फलन है, बराबर है-
$$1+6 \log _{e}\left(\frac{6}{7}\right)$$
$$1-6 \log _{e}\left(\frac{6}{7}\right)$$
$$\log _{e}\left(\frac{7}{6}\right)$$
$$1-7\log _{e}\left(\frac{6}{7}\right)$$

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