Mathematics · 2023
JEE Main · 31 January 2023, Shift 2 · Q69
If φ(x)=1/(√ x) ∫_((π)/4)^x(4 √ 2 sin t-3 φ^′( t )) dt, x>0, then φ^′((π)/4) is equal to:
If $\displaystyle \phi(x)=\frac{1}{\sqrt{\mathrm{x}}} \int_{\frac{\pi}{4}}^x\left(4 \sqrt{2} \sin t-3 \phi^{\prime}(\mathrm{t})\right) \mathrm{dt}, x>0$, then $\displaystyle \phi^{\prime}\left(\frac{\pi}{4}\right)$ is equal to :
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle \frac{8}{6+\sqrt{\pi}}$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.