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प्रश्न
उत्तर
\[\int\sqrt{\frac{1 - \cos x}{1 + \cos x}} dx\]
` ∫ \sqrt {{2 sin^2 x/2} / {2 cos^2 x/2 }} dx` `[ ∵ 1 - cos x = 2 sin^2 x/2 & 1 + cos x = 2 cos ^2 x/2]`
\[ = \int\tan\frac{x}{2} dx\]
\[ =\text{ - 2 }\text{ln }\left| \cos\frac{x}{2} \right| + C\]
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