dx 1- - is equal to: - Vidyadip

MCQ

$\int\frac{\text{dx}}{1-\cos\text{x}-\sin\text{x}}$ is equal to:

A
$\log|1+\cot\frac{\text{x}}{2}|+\text{c}$
B
$\log|1-\tan\frac{\text{x}}{2}|+\text{c}$
✓
$\log|1-\cot\frac{\text{x}}{2}|+\text{c}$
D
$\log|1+\tan\frac{\text{x}}{2}|+\text{c}$

✓

Answer

Correct option: C.

$\log|1-\cot\frac{\text{x}}{2}|+\text{c}$

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