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Question

What is the midpoint rule formula?


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Solution

Midpoint Rule:

The function fx is continuous on the interval a,b, then the midpoint formula for approximating the definite integral is,

abfxdxi=1nfxi¯x=xf(x1)+f(x2)+f(x3)+....+f(xn)

Where x=b-an

And midpointofxi-1,xi=xi=12xi-1+xi


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