A) \[2\log \left( \sin \frac{x}{2} \right)+C\]
B) \[4\log \left( \sin \frac{x}{2} \right)+C\]
C) \[4\log \left( \cos \frac{x}{2} \right)+C\]
D) \[2\log \left( \cos \frac{x}{2} \right)+C\]
Correct Answer: A
Solution :
\[\int_{{}}^{{}}{\left( \sqrt{+2\cot x\cos ecx+\cos e{{c}^{2}}x+\cot x} \right)dx}\] \[\int_{{}}^{{}}{\cos |x+\cot x|dx}\] \[\int_{{}}^{{}}{(cosec+cotx)dx}\] \[\int_{{}}^{{}}{\cos ec\,dx}\] \[2\log (log({{x}_{2}})+c\]
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