Re: HSC 2018 MX2 Marathon
$\noindent After expanding the expression given by InteGrand, you should get an expression in terms of $z^2$, $z^{-2}$, $z^4$ and $z^{-4}$. From here, you should try to include ($\star$) somehow. To do this, you would need some terms in the form $z^n+z^{-n}$, such...