I would go with an i3 over the A10-6800k simply because of the lower power consumption. The following chart shows power consumption when encoding a video. I'm not sure if that is something you plan on doing, but at least it provides a point of reference for power consumption.
As can be seen the i3-3225 (IGP) only uses 53w of power compared to the A10-6800k (IGP) result of 120w of power. There is another result for the i3-3225 which has it using 73w while doing the video encoding. Since the video encoding does not involve the GPU the difference of 20w is the GPU idling. In this case it is a Radeon HD 7950 as mentioned in the 2nd page of the review. A less powerful will use less power when idling. The Radeon HD 7750 DDR5 version is a popular and inexpensive mainstream graphics card (as low $65 at Newegg after rebate). It consumes only 5w when idling and peaks at 43w. Additionally, it is much more powerful than the A10-6800k's integrated Radeon HD 8670D.
Source: http://techreport.com/review/24954/amd-a10-6800k-and-a10-6700-richland-apus-reviewed/3
The part of the reason why the A10-6800k consumes more power is that it has 4 cores, the other reason is because of the higher clockspeed. Since encoding video using the H.264 codec can take advantage of all 4 cores, it is no surprise that the A10-6800k consumes more power. I would have been nice if they had a chart which showed how long it took to complete the video encoding. However, the following chart show how much energy (in joules) it took the CPUs to complete the encoding process.
Getting back to the integrated Radeon HD 8670D... while it is currently the most powerful integrated iGPU around (except for the Intel HD 5200; but that is a completely different story) it's performance is pretty pathetic compared to a desktop graphic card. It equals the desktop Radeon HD 6670 DDR3 version graphics card which has 76% the performance of a Radeon HD 6670 DDR5 version. That places it halfway between the Radeon HD 5570 and Radeon HD 5670. The Radeon HD 7750 is basically 2x more powerful than the integrated Radeon HD 8670D.