Use partial fraction decomposition to evaluate the integral:
149r2+200r+3645r3+64r2+12rdr\displaystyle \int\frac{{{149}{r}^{{2}}+{200}{r}+{36}}}{{{45}{r}^{{3}}+{64}{r}^{{2}}+{12}{r}}}{d}{r} =
 

Be sure your variables match those in the question.