A) \[2\log |\cos x|+C\]
B) \[\log |\cos x|+C\]
C) \[2\log |\sec x|+C\]
D) \[\log |\sec x|+C\]
Correct Answer: C
Solution :
\[I=\int{\sin 2x}\,d(\tan x)=\int{\sin 2x.{{\sec }^{2}}x}\,dx\] \[=2\int{\tan x\,dx}=2\log |\sec x|+C\]
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