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hello welcome to Tommy analytics its going to be a video on integral notation were going to start with explaining this part here inside the integral the f of X that refers to is the function that were dealing with the function were dealing with is x squared which is just a simple parabola and what were concerned with is the area that lies underneath the function x squared between the points a and B and specifically Im just going to roughly shade in all the area Im going to take up all the blue all the yellow everything we approximate that area by using rectangles so I just pulled one of them out and if you remember the area is the width times the height now the width we refer to as the change in X and the height we refer to as f of X so heres the width change in X and the height were going to use the left endpoint which maps to this point f of X which is just the Y value now the problem with using rectangles is that it does not account for the error that all this blue error u