\[ f(x)=\int_{2}^{e^{x}}\left(9 \cos ^{2}(2 \ln t)-25 \cos (2 \ln t)+17\right) d t \] is an incr...

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\[
f(x)=\int_{2}^{e^{x}}\left(9 \cos ^{2}(2 \ln t)-25 \cos (2 \ln t)+17\right) d t
\]
is an increasing function for
(a) \( x \in \phi \)
(b) \( x \in R^{+} \)only
(c) \( x \in R^{-} \)only
(d) \( x \in R \)
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