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hello calculus kids this is mr bean and in todays lesson were going to talk about summation notation with respect to riemann sums and how you can take a whole bunch of riemann sums add them all up and then basically get the area under the curves instead of just an approximation so let me show you what im talking about here you dont need to write any of this down yet i just want to show it to you on here lets say we take a riemann sum with only one sub interval so if we had if n equal to 1 in this case n equals 1 youd have a rectangle that looks like this and i made this a left riemann sum so you can see here on the left so left riemann sum theres my rectangle this would be an approximation of the area from negative one to six because that was what our interval there said negative one to six okay so thats not a very good approximation so how about we take two sub-intervals if we had two sub-intervals left riemann sums theres one rectangle theres one thats nice because this i
