  We present simple and accurate analytical formulae for the rates of Compton
scattering by relativistic electrons integrated over the energy distribution of
blackbody seed photons. Both anisotropic scattering, in which blackbody photons
arriving from one direction are scattered by an anisotropic electron
distribution into another direction, and scattering of isotropic seed photons
are considered. Compton scattering by relativistic electrons off blackbody
photons from either stars or CMB takes place, in particular, in microquasars,
colliding-wind binaries, supernova remnants, interstellar medium, and the
vicinity of the Sun.
