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Indefinite Integrals question

2021 · 24 Feb · Shift 1 · Q23

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PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2021 · 24 Feb · Shift 1 · Q23

Indefinite Integrals question

2021 · 24 Feb · Shift 1 · Q23

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

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 :

A
(-1, 3)
B
(1, 3)
C
(1, -3)
D
(3, 1)

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