\int{d x}/{\sin x-\cos x+\\sqrt{2} is equal to

Correct Answer is : −1√2cot(x2+π8)+C

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

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

{1}/\sqrt{2} \cot ( \frac{x}{2}+ \frac{\\pi}{8} )+C

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

Manipal Entrance Test 2014 Math Paper

Question : 45 of 80

Marks: +1, -0

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sin‌x−cos‌x+√2

is equal to

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