Mathematics · 2019
JEE Main · 9 April 2019, Shift 2 · Q70
If f: R → R is a differentiable function and f(2)=6, then lim_x → 2 ∫_6^f(x) (2 tdt)/((x-2)) is:
If $\displaystyle f: \mathbf{R} \rightarrow \mathbf{R}$ is a differentiable function and
$\displaystyle f(2)=6$, then $\displaystyle \lim _{x \rightarrow 2} \int_6^{f(x)} \frac{2 \mathrm{tdt}}{(x-2)}$ is :
Official answer
(3)
$\displaystyle 12 f^{\prime}(2)$
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.