JEE Main 20203 Sep, Evening shiftMathematicsMediumIntegral Calculus369× since 2002If ∫sin−1(x1+x)dx\int {{{\sin }^{ - 1}}\left( {\sqrt {{x \over {1 + x}}} } \right)} dx∫sin−1(1+xx)dx = A(x)tan−1(x){\tan ^{ - 1}}\left( {\sqrt x } \right)tan−1(x) + B(x) + C, where C is a constant of integration, then the ordered pair (A(x), B(x)) can be :AOption A. (x + 1, -x{\sqrt x }x)BOption B. (x + 1, x{\sqrt x }x)COption C. (x - 1, -x{\sqrt x }x)DOption D. (x - 1, x{\sqrt x }x)CheckSkip · show solution
