Mathematics · 2022
JEE Main · 27 June 2022, Shift 2 · Q8
Let f be a differentiable function in (0, (π)/2) If ∫_cos x^1 t^2 f(t) d t= sin^3 x+ cos x, then 1/(√ 3) f^′(1/(√ 3)) is equal to
Let $\displaystyle f$ be a differentiable function in $\displaystyle \left(0, \frac{\pi}{2}\right)$ If $\displaystyle \int_{\cos x}^1 t^2 f(t) d t=\sin ^3 x+\cos x$, then $\displaystyle \frac{1}{\sqrt{3}} f^{\prime}\left(\frac{1}{\sqrt{3}}\right)$ is equal to
Official answer
(2)
$\displaystyle 6-\frac{9}{\sqrt{2}}$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.