JEE Math Practice Question
The integral $$\int\limits_0^1 {{1 \over {{7^{\left[ {{1 \over x}} \right]}}}}dx} $$, where [ . ] denotes the greatest integer function, is equal to
- A.$$1 + 6{\log _e}\left( {{6 \over 7}} \right)$$
- B.$$1 - 6{\log _e}\left( {{6 \over 7}} \right)$$
- C.$${\log _e}\left( {{7 \over 6}} \right)$$
- D.$$1 - 7{\log _e}\left( {{6 \over 7}} \right)$$
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