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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
The value of ∫sin⁡8x−cos⁡8x1−2sin⁡2xcos⁡2xdx\int \frac{\sin ^8 x-\cos ^8 x}{1-2 \sin ^2 x \cos ^2 x} d x is:
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Correct option: B
−12sin⁡2x+C-\frac{1}{2} \sin 2 x+C
Option B (−12sin⁡2x+C-\frac{1}{2} \sin 2 x+C) is correct because simplification using trigonometric identities leads to a straightforward integration.

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