In terms of overall gaming performance, the graphical capabilities of the Nvidia GeForce 4 MX 440 are massively better than the Intel 865G.

The 865G was released over a year more recently than the 4 MX, and so the 865G is likely to have better driver support, meaning it will be more optimized for running the latest games when compared to the 4 MX.

Both GPUs exhibit very poor performance, so rather than upgrading from one to the other you should consider looking at more powerful GPUs. Neither of these will be able to run the latest games in any playable way.

The 4 MX has 112 MB more video memory than the 865G, so is likely to be slightly better at displaying game textures at higher resolutions. This is supported by the fact that the 4 MX also has superior memory performance overall.

The 4 MX has 3.2 GB/sec greater memory bandwidth than the 865G, which means that the memory performance of the 4 MX is marginally better than the 865G.

The 4 MX has 2 Shader Processing Units but the 865G does not have an entry, so the two GPUs cannot be reliably compared in this area.

The 865G requires 13 Watts to run but there is no entry for the GeForce 4 MX 440.