Evaluate: 1- cosx(1+cosx) dx. - Vidyadip

MCQ

Evaluate$:\ \int\frac{1-\cos\text{x}}{cos\text{x}(1+cos\text{x})}\text{dx}.$

✓
$\log|\text{sec}\text{x}+\tan\text{x}|-2\tan(\frac{\text{x}}{2})+\text{c}$
B
$\log|\text{sec}\text{x}-\tan\text{x}|-2\tan(\frac{\text{x}}{2})+\text{c}$
C
$\log|\text{sec}\text{x}+\tan\text{x}|+2\tan(\frac{\text{x}}{2})+\text{c}$
D
None of these

✓

Answer

Correct option: A.

$\log|\text{sec}\text{x}+\tan\text{x}|-2\tan(\frac{\text{x}}{2})+\text{c}$

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