Let \( g(t)=\int_{x_{1}}^{x_{2}} f(t, x) d x \). Then \( g^{\prime}...

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Let \( g(t)=\int_{x_{1}}^{x_{2}} f(t, x) d x \). Then \( g^{\prime}(t)=\int_{x_{1}}^{x_{2}} \frac{\partial}{\partial t}(f(t, x)) d x \). Consider \( f(x)=\int_{0}^{2} \frac{\ln (1+x \cos \theta)}{\cos \theta} d \theta \).
\( \mathrm{P} \)
W
The number of critical points of \( f(x) \), in the interior of its domain, is
(A) 0
(B) 1
(C) 2
(D) infinitely many
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