I think the active discussion has gone off the rails into detials that are NOT the main reasons for active. Here is my summary of reasons.
1) phase linearity (via line level adjustments in the crossover). Many designers think this is the key reason to do it, as adjusting phase of drivers is practically impossible with passive crossovers and very easy with active ones.
2) Calibration of each band via the ability to adjust individual driver levels to compensate for manufacturing differences in the drivers, which can vary 1/4 to 1/2dB at best and 2 or 3 dB at worst). This is not a subtle differnce because a 1/2dB down or up across the entire bandwidth of the driver is very audible. In tests here we’ve had sucess hearing a 1/4dB level change when applied across the entire midrange or tweeter. 1/2dB in EQ across a small part of the band or a group of frequencies is very difficult to hear for many.
3) No speaker level filltering, only line level filtering in analog or digital. FIltering as it applies to passive crossovers is far less precise and controllable and is not changeable with driver changes. Precise level calibration and filtering means you can make two identical speakers actually sound identical instead of slightly different. (this is the dirty secret of hi fi)
4) Freedom from driver temperature fluctuations, which can signficantly impact driver dynamic range and level. Called power compression and thermal compression as the system can be precisely calibrated to apply limiters to keep this from happening. The sonic penalty of a well designed limiter is far less than an overheated driver.
5) No massive losses of power or dampening factor though long runs of cable from amp to driver, compounded by the large amount of copper wire in low frequency inductors in passive crossovers. Active cable runs are very short.
6) Ability to provide sufficient dynamic power to a given set of drivers by "matching" the right size amp to the driver, rather than under or over power the entire system.
7) Lower cost/higher value for a given level of amp performance by avoiding expensive outboard amp chassis (excepting outboard active with multiple amplifiers). Cosmetics a large part of the manufacuring cost of all amplifiers.
Brad