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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
The value of 2∫sin⁡x dxsin⁡(x−π4)\sqrt{2} \int \frac{\sin x \,d x}{\sin \left(x-\frac{\pi}{4}\right)} is
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Correct option: B
x+log⁡∣sin⁡(x−π4)∣+Cx+\log \left|\sin \left(x-\frac{\pi}{4}\right)\right|+C
Option B (x+log⁡∣sin⁡(x−π4)∣+Cx+\log \left|\sin \left(x-\frac{{\pi}}{{4}}\right)\right|+C) is correct because it represents the result of the given integral after applying substitution and simplification.

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