Both can be used, but depending on your choice the tone of the piece would change.
Could implies that the item in question is a possibility, whereas can implies that it is definitive. (Personally I would choose can as it seems that you are writing to persuade or to provide bias evidence as opposed to an unbiased view/balanced argument).
As for additional changes, I suggest that you change "proved" to "proven", remove redundancies such as the 'in this case' after 'therefore' and change the ordering slightly.
This is a completely butchered version that demonstrates how word ordering and choice of words can drastically affect the tone of a piece of writing:
"Therefore, it can be proven that the use of computers does not negatively impact reading speed, regardless of whether the context is academic or day to day reading."
It's proven. Otherwisecould be provedsounds correct but not very convincing. – dcaswell Sep 05 '13 at 18:12