$\begin{array}{1 1} (A)\; \large\frac{x+1}{6} \sqrt {5-2x-x^2}+ 3 \sin ^{-1}\bigg(\frac{x+1}{\sqrt 6}\bigg)+c \\(B)\;\large\frac{x+1}{2} \sqrt {5-2x-x^2}+ 6 \sin ^{-1}\bigg(\frac{x+1}{\sqrt 6}\bigg)+c \\ (C)\;\large\frac{x+1}{2} \sqrt {5-2x-x^2}- 3 \sin ^{-1}\bigg(\frac{x+1}{\sqrt 6}\bigg)+c \\ (D)\;\large\frac{x+1}{2} \sqrt {5-2x-x^2}+ 3 \sin ^{-1}\bigg(\frac{x+1}{\sqrt 6}\bigg)+c \end{array} $