Integrate the functions\[\frac{1}{\sqrt{8+3x-x^2}}\]

Question

$\begin{array}{1 1} \sin^{-1} \bigg(\frac{2x-3}{\sqrt {41}}\bigg)+c \\ \cos^{-1} \bigg(\frac{2x-3}{\sqrt {41}}\bigg)+c \\ \sin^{-1}\large \bigg(\frac{2x+3}{\sqrt {41}}\bigg)+c \\ \cos^{-1} \bigg(\frac{2x+3}{\sqrt {41}}\bigg)+c \end{array} $