\int\frac{d x}{\cos x-\sin x}is equal to

Correct Answer is : 1√2log|tan(x2+3π8)|+C

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

SRMJEE 2019 Paper with key

Question : 89 of 140

Marks: +1, -0

∫

cos‌x−sin‌x

is equal to

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