  The hyperdeteminants considered here are the simplest analogues of
determinants for higher rank tensors which have been defined by Cayley, and
apply only to tensors with an even number of indices. We have shown in a
previous article that the calculation of certain multidimensional integrals
could be reduced to the evaluation of hyperdeterminants of Hankel type. Here,
we carry out this computation by purely algebraic means in the cases of
Selberg's and Aomoto's integrals.
