It depends on how you use the adjective "brief."
In the first sentence, "brief" modifies "developing history..." That means a snapshot in time of an ongoing process--history.
In the second sentence, "brief" modifies "history of..." Which means a summary of.
Grammatically, the first sentence does not make sense since you do not know the duration of an ongoing action/process, therefore you cannot call it brief.
For more technical information, search "Using Gerunds & Infinitives."