JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

\phi(x)=\frac{1}{\sqrt{x}} \int\limits_{\frac{\pi}{4}}^{x}\left(4 \sqrt{2} \sin t-3 \phi^{\prime}(t) d t, x > 0\right.

, then

\phi^{\prime}\left(\frac{\pi}{4}\right)

is equal to

View answer and explanation

Correct option: A

\frac{8}{6+\sqrt{\pi}}

The correct answer is A (

\frac{8}{6+\sqrt{\pi}}

) because it results from differentiating the given equation and substituting x =

\frac{\pi}{4}

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