\int \frac{d x}{\cos x- \sin x} is equal to [AIEEE 2004]

Correct Answer is : 1√2log|cot(x2)|+C

{1}/{\sqrt{2}} \log |\cot (\frac{x}{2}) {{}/{}|} +C

{1}/{\sqrt{2}} \log |\tan (\frac{x}{2}-\frac{3 \pi}{8}) {{}/{}|} +C

{1}/{\sqrt{2}} \log |\tan (\frac{x}{2}-\frac{\pi}{8}) {{}/{}|} +C

AIEEE 2004 Math Solved Paper

Section: Mathematics

Question : 40 of 68

Marks: +1, -0

∫‌

cos‌x−sin‌x

is equal to

[AIEEE 2004]

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