\(\int e^x\left(\frac{x \sin ^{-1} x}{\sqrt{1-x^2}}+\frac{\sin ^{-1} x}{\left(1-x^2\right)^{3 / 2}}+\frac{x}{1-x^2}\righ…

\(\int e^x\left(\frac{x \sin ^{-1} x}{\sqrt{1-x^2}}+\frac{\sin ^{-1} x}{\left(1-x^2\right)^{3 / 2}}+\frac{x}{1-x^2}\right) \mathrm{dx}=\mathrm{g}(\mathrm{x})+\mathrm{c}\), where c is the constant of the integration then \(g(1 / 2)\) equals (22 Jan, Shift II, Memory Based)