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Question: Answered & Verified by Expert
\(\int \frac{\cos 2 x}{\cos x} d x=\)
MathematicsIndefinite IntegrationWBJEEWBJEE 2011
Options:
  • A \(2 \sin x+\log |\sec x+\tan x|+C\)
  • B \(2 \sin x-\log |\sec x-\tan x|+c\)
  • C \(2 \sin x-\log |\sec x+\tan x|+C\)
  • D \(2 \sin x+\log |\sec x-\tan x|+C\)
Solution:
1861 Upvotes Verified Answer
The correct answer is: \(2 \sin x-\log |\sec x+\tan x|+C\)
Hints: \(\int \frac{2 \cos ^2 x-1}{\cos x} d x=2 \sin x-\log |\sec x+\tan |\)

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