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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
The value of I=2∫sin⁡xsin⁡(x−π/4)dxI=\sqrt{2} \int \frac{\sin x}{\sin (x-\pi / 4)} d x is
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Correct option: C
x+log⁡∣sin⁡(x−π/4)∣+Cx+\log |\sin (x-\pi / 4)|+C
Option C is correct because the integral can be solved by using a substitution and trigonometric identities.

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