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Indefinite Integrals question

2020 · 3 Sep · Shift 2 · Q38

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JEE Main
Mathematics
Indefinite Integrals
2020 · 3 Sep · Shift 2 · Q38

Indefinite Integrals question

2020 · 3 Sep · Shift 2 · Q38

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

If

\int {{{\sin }^{ - 1}}\left( {\sqrt {{x \over {1 + x}}} } \right)} dx

= A(x)

{\tan ^{ - 1}}\left( {\sqrt x } \right)

+ B(x) + C, where C is a constant of integration, then the ordered pair (A(x), B(x)) can be :

A
(x + 1, - ${\sqrt x }$ )
B
(x + 1, ${\sqrt x }$ )
C
(x - 1, - ${\sqrt x }$ )
D
(x - 1, ${\sqrt x }$ )

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