How simpson's 1/3rd rule gets its formula? Why y2,y4,y6... Has 2 as coefficient and y1,y3,y5... Has 4 as coefficient?? And also how Simpson's 3/8 is related with this?

How simpson's 1/3rd rule gets its formula? Why y2,y4,y6... Has 2 as coefficient and y1,y3,y5... Has 4 as coefficient?? And also how Simpson's 3/8 is related with this? submitted by /u/jits_trivedi
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