HMMT 2007 U33

Compute

$\int_{1}^{2} \frac{9 x+4}{x^{5}+3 x^{2}+x} d x$

(No, your TI-89 doesn't know how to do this one. Yes, the end is near.)

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

\ln \frac{80}{23}

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.