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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫dxsin⁡  x−cos⁡  x+2\int \frac{{dx}}{{\sin \,\,x - \cos \,\,x + \sqrt 2 }} equals
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Correct option: D
−12  cot⁡  (x2  +  π8)+c- \frac{1}{{\sqrt 2 }}\,\,\cot \,\,\left( {\frac{x}{2}\,\, + \,\,\frac{\pi }{8}} \right) + c
The correct answer is D (−12  cot⁡  (x2  +  π8)+c- \frac{1}{{\sqrt 2 }}\,\,\cot \,\,\left( {\frac{x}{2}\,\, + \,\,\frac{\pi }{8}} \right) + c) because after applying trigonometric identities and integrating, the result matches option D.

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