  We derive analytical expressions for the power spectra at the end of
inflation in theories with two inflaton fields and non-canonical kinetic terms.
We find that going beyond the slow-roll approximation is necessary and that the
nature of the non-canonical terms have an important impact on the final power
spectra at the end of inflation. We study five models numerically and find
excellent agreement with our analytical results. Our results emphasise the fact
that going beyond the slow-roll approximation is important in times of
high-precision data coming from cosmological observations.
