Dual monitors: Pros and cons of using GPU and onboard vs only GPU ???

ScottishBattleAxe

Honorable
Jun 12, 2013
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Single PC with single graphics card (780 Ti), running 2 monitors.
1 monitor for gaming and the other for web browsing/other non-gaming tasks.

Is there a best way to utilize connecting the monitors to the system in this scenario? Connect both to graphics card?
Or gaming monitor to graphics card and second monitor to onboard grahpics?

I'm sure either will work, but will one way mean less strain on the CPU or GPU?

Thanks