Mathematics · 2014
JEE Main · 19 April 2014, Shift 1 · Q76
The area of the region above the x -axis bounded by the curve y= tan x, 0 ≤ x ≤ (π)/2 and the tangent to the curve at x=(π)/4 is:
The area of the region above the $\displaystyle x$-axis bounded by the curve $\displaystyle y=\tan x, 0 \leq x \leq \frac{\pi}{2}$ and the tangent to the curve at $\displaystyle x=\frac{\pi}{4}$ is :
Official answer
(1)
$\displaystyle \frac{1}{2}\left(\log 2-\frac{1}{2}\right)$
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.