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Definite Integration question

2022 · 27 Jun · Shift 2 · Q27

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PYQ Library
JEE Main
Mathematics
Definite Integration
2022 · 27 Jun · Shift 2 · Q27

Definite Integration question

2022 · 27 Jun · Shift 2 · Q27

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

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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