Mark $(\sqrt{ })$ against the correct answer in the following:
$\int_{0}^{\pi / 2} \frac{\sec ^{5} x}{\left(\sec ^{5} x+\operatorname{cosec}^{5} x\right)} d x=?$
A. $\frac{\pi}{2}$
B. 0
C. $\frac{\pi}{4}$
D. $\pi$
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