The least value of the function (x)= _ 5 / 4 ^ x (35 i n t+4 t) d t in the interval [ 5 4…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
The least value of the function
\(\phi(x)=\int_{5 \pi / 4}^{x}(35 i n t+4 \cos t) d t \text { in the interval }\left[\frac{5 \pi}{4}, \frac{4 \pi}{3}\right] \text { is ... }\)
- \(\sqrt{3}+\frac{3}{2}\)
- \(-2 \sqrt{3}+\frac{3}{2}+\frac{1}{\sqrt{2}}\)
- \(\frac{3}{2}+\frac{1}{\sqrt{2}}\)
- none of these
Answer
(B) -2 3 + 3 2 + 1 2
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