When calculating
the total charge for diffusion capacitance (under forward bias), the
and
, and resulting capacitances, should be added in parallel!!
The reason: you integrate over the whole accumulated charge!
When adding
to
, it is also in parallel!!
The reason: the two phenomena are independent physically. Under reverse bias, there is no charge accumulation, and so, no diffusion capacitance.
Thus, the branch of this capacitance vanishes.