N2014 P2 Q2

Use partial fractions to find \[\int_0^2\frac{9x^2+x-13}{(2x-5)(x^2+9)}\,\mathrm dx,\] giving your answer in the form \(a\ln b+c\tan^{-1}d\), where \(a\), \(b\), \(c\) and \(d\) are rational numbers.[9]