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The value of \( \int_{0}^{\pi} \frac{d x}{1-2 \alpha \cos x+\alpha^{2}} \) is
(a) \( \frac{\pi}{1+\alpha^{2}} \) if \( \alpha1 \)
(b) \( \frac{\pi}{\alpha^{2}-1} \) if \( \alpha1 \)
(c) \( \frac{\pi}{1+\alpha^{2}} \) if \( \alpha1 \)
(d) \( \frac{\pi}{\alpha^{2}-1} \) if \( \alpha1 \)
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