Q76 / 160 · WBJEE 2011 · Mathematics

\(\int \frac{\cos 2 x}{\cos x} d x=\)

  • A
    \(2 \sin x+\log |\sec x+\tan x|+C\)
  • B
    \(2 \sin x-\log |\sec x-\tan x|+c\)
  • Correct answer
    C
    \(2 \sin x-\log |\sec x+\tan x|+C\)
  • D
    \(2 \sin x+\log |\sec x-\tan x|+C\)

Solution

Hints: \(\int \frac{2 \cos ^2 x-1}{\cos x} d x=2 \sin x-\log |\sec x+\tan |\)

Hence, the correct answer is option: 'C'.

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