Mathematics · 2022
JEE Main · 27 June 2022, Shift 2 · Q9
The integral ∫_0^1 1/(7^[1/x]) d x, where [·] denotes the greatest integer function, is equal to
The integral $\displaystyle \int_0^1 \frac{1}{7^{\left[\frac{1}{x}\right]}} d x$, where $\displaystyle [\cdot]$ denotes the greatest integer function, is equal to
Official answer
(1)
$\displaystyle 1+6 \log _e\left(\frac{6}{7}\right)$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.