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TS EAMCET · Maths · Indefinite Integration

\(\int \frac{d x}{1-\cos x-\sin x}\) is equal to

  1. A \(\log \left|1+\cot \frac{x}{2}\right|+c\)
  2. B \(\log \left|1-\tan \frac{x}{2}\right|+c\)
  3. C \(\log \left|1-\cot \frac{x}{2}\right|+c\)
  4. D \(\log \left|1+\tan \frac{x}{2}\right|+c\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\log \left|1-\cot \frac{x}{2}\right|+c\)

Step-by-step Solution

Detailed explanation

We have,…