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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
If ∫cos⁡x−sin⁡x8−sin⁡2xdx=asin⁡−1(sin⁡x−cos⁡xb)+C\int \frac{\cos x-\sin x}{\sqrt{8-\sin 2 x}} d x=a \sin ^{-1}\left(\frac{\sin x-\cos x}{b}\right)+C, then (a,b)(a, b) is equal to
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Correct option: A
(1,3)(1,3)
Option A, (1,3)(1,3), is correct because manipulating the integrand and completing the square leads to this result.

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