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Question
If $\int {{{\cos x - \sin x} \over {\sqrt {8 - \sin 2x} }}} dx = a{\sin ^{ - 1}}\left( {{{\sin x + \cos x} \over b}} \right) + c$, where c is a constant of integration, then the ordered pair (a, b) is equal to :
(-1, 3)
(1, 3)
(1, -3)
(3, 1)

Solution

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