For the following questions, choose the correct answers from the codes (a), (b), (c) and (d) defined as follows.
(a) Statement I is true, Statement II is also true, Statement II is the correct explanation of Statement I
(b) Statement I is true, Statement II is also true, Statement II is not the correct explanation of Statement I
(c) Statement I is true, Statement II is false
(d) Statement I is false, Statement II is true Statement I
\( \phi(x)=\int_{0}^{x}(3 \sin t+4 \cos t) d t, x \in\left[\frac{\pi}{6}, \frac{\pi}{3}\right] \phi(x) \) attains its maximum value at \( x=\frac{\pi}{3} \).
Statement II \( \phi(x)=\int_{0}^{x}(3 \sin t+4 \cos t) d t, \phi(x) \) is increasing function in \( \left[\frac{\pi}{6}, \frac{\pi}{3}\right] \).
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