So, this is going to be delta X times our index. So, if I is equal to one, we add one delta X, so we would be at the right If we're doing a right Riemann sum we would do the rightĮnd of that rectangle or of that sub interval and so, we would startĪt our lower bound A and we would add as many delta Of those rectangles we can write as a delta X, so your width is going to be delta X of each of those rectangles and then your height is going to be the value of the function evaluated some place in that delta X. We're gonna sum the areas of a bunch of rectangles where the width of each Of the sum, capital sigma, going from I equals one to N and so, essentially Integral from A to B of F of X, F of X, DX, we have seen in other videos this is going to be the limit as N approaches infinity So, let's remind ourselves how a definite integral can I encourage you to pause the video and see if you can work We're gonna take the limitĪs N approaches infinity and the goal of this video is to see if we can rewrite this as a definite integral.
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