The least value of the function \( \phi(x)=\int_{5 \pi / 4}^{x}(3 \...

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The least value of the function \( \phi(x)=\int_{5 \pi / 4}^{x}(3 \sin t+4 \cos t) d t \) on the interval \( \left[\frac{5 \pi}{4}, \frac{4 \pi}{3}\right] \) is
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(a) \( \sqrt{3}+\frac{3}{2} \)
(b) \( -2 \sqrt{3}+\frac{3}{2}+\frac{1}{\sqrt{2}} \).
(c) \( \frac{3}{2}+\frac{1}{\sqrt{2}} \)
(d) None of these
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