  We recall the notion of a Hopf (co)quasigroup defined in \cite{Kl09} and
define integration and Fourier Transforms on these objects analogous to those
in the theory of Hopf algebras. Using the general Hopf module theory for Hopf
(co)quasigroups from \cite{Br09} we show that a finite dimensional Hopf
(co)quasigroup has a unique integration up to scale and an invertible antipode.
We also supply the inverse Fourier transformation and show that it maps the
convolution product on $H$ to the product in its dual $H^*$. Finally, we
further develop the theory to consider Frobenius Hopf (co)quasigroups,
separability and semisimplicity.
