Integrate using partial fractions, identities and parts
All logarithms are natural and all angles are in radians. Construct the coefficients in the stated form; enter exact values
\[\int\frac{9x-3}{(3x)(x-1)}\,dx\]
\[x\ne 0,1\]
\[F(x)=P\log\left|3x\right|+Q\log\left|x-1\right|+C\]