The core i5's have integrated GPUs built on the actual die. I assume that if you have nVidia's discreet mobile graphics card, the laptop, when you run on the battery, will turn off the card in favor of the on-die graphics chip to save power, which would be an awesome power-saving feature.
The photo of the E6410 looks just like the previous E6400. I have an E6500 and while I would like it to have the faster processor, it is pretty fast already and is a great machine all round. I bought mine through the outlet and got a pretty good price on it.