Indefinite Integration

If $\int e^x \cos x d x=\frac{e^x}{2}(\cos x+\sin x)$ and

\(\int \frac{\cos \left(\log \left(\frac{2 x+3}{3-2 x}\right)\right)}{(3-2 x)^2} d x=\frac{f(x)}{24}[\cos (g(x))+\sin (g(x))]+c\)

then $g(1)=$