Preheat oven to 350 degrees. Grease a 9×13 inch cake pan.
Peel, core and dice the apples. Set aside. You can sprinkle a little lemon juice on them if you don't want them to turn brown, but for this recipe, the brown discoloration isn't noticeable in the final cake.
In a large bowl, whisk together the oil and eggs until light and smooth. Add sugar and whisk again till smooth.
Add flour, cinnamon, salt and baking soda to the bowl. Stir well with a whisk or wooden spoon, not your mixer, because the batter is quite thick. Fold in the prepared apples, then spread the batter into the baking pan.
Bake for 45 minutes or until the cake is browned on top and a toothpick inserted in the center of the cake has moist crumbs on it when you remove it.
This cake needs to cool before slicing since it's a VERY moist cake.