A) \[\frac{1}{2}\log \tan \left( \frac{x}{2}+\frac{\pi }{12} \right)+C\]
B) \[\frac{1}{2}\log \tan \left( \frac{x}{2}-\frac{\pi }{12} \right)+C\]
C) \[\log \tan \left( \frac{x}{2}+\frac{\pi }{12} \right)+C\]
D) \[\log \tan \left( \frac{x}{2}-\frac{\pi }{12} \right)+C\]
Correct Answer: C
Solution :
[c] From \[{{y}^{2}}=x\] |
\[y=|\text{ }x|\] ...(i) |
and \[\frac{2}{3}\] ...(ii) |
\[\frac{1}{6}\] \[\frac{1}{3}\] |
\[{{x}^{2}}+ax+1=0\] \[\sqrt{5},\] |
Putting value of \[\alpha \] in Eq (i), we get |
\[(-3,\infty )\] |
\[(3,\infty )\] \[(-\infty ,-3)\] |
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