  The contribution of exclusive radiative tail to the cross section of
semi-inclusive hadron leptoproduction has been calculated exactly for the first
time. Although the experience of inclusive data analyses suggests us that the
contribution of radiative tail from the elastic peak is of particular
importance, similar effects in the semi-inclusive process were only recently
estimated in the peaking approximation. The explicit expressions for the lepton
part of the lowest order QED contribution of exclusive radiative tail to the
five-fold differential cross section are obtained and discussed. Numerical
estimates, provided within Jefferson Lab kinematic conditions, demonstrate
rather large effects of the exclusive radiative tail in the region at
semi-inclusive threshold and for high energy of detected hadron.
