  Let $f(x)$ be a non-zero polynomial with complex coefficients, and $M_p =
\int_{0}^1 f(x)^p dx$ for $p$ a positive integer. In a recent paper, M\"uger
and Tuset showed that $\limsup_{p \to \infty} |M_p|^{1/p} > 0$, and conjectured
that this limit is equal to the maximum amongst the critical values of $f$
together with the values $|f(0)|$ and $|f(1)|$. We give an example that shows
that this conjecture is false. It also may be natural to guess that $\limsup_{p
\to \infty} |M_p|^{1/p}$ is equal to the maximum of $|f(x)|$ on $[0,1]$.
However, we give a counterexample to this as well. We also provide a few more
guesses as to the behaviour of the quantity $\limsup_{p \to \infty}
|M_p|^{1/p}$.
