![]() ![]() ![]() For example, if we were finding the area on the interval, b - a = 5. What does this mean? Our area is being taken on the interval, so b-a is just the length of our interval. You can see in the image that Δx = (b-a)/n. So one of these must be the height of our rectangles, the other must be our width. Recall that A = bh (or alternatively A = lw) for rectangles. Remember, we're summing together the areas of rectangles, so this must be the area of some rectangle. Now, let's tackle the inside of the sum, the f(xk)*Δx. The use of sigma here makes sense since we're summing together a bunch of rectangles. The large E looking symbol, if you are unfamiliar, is the Greek letter sigma and is used for summing together a bunch of elements or numbers. Woah! That looks really really scary, doesn't it? Well, it's actually quite simple, so let's break it down.
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