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In the Fundamental Theorem of Calculus, it is stated that

lim max deltax_k -> 0 sigma f(x_k*)*deltax_k = L,

where L is the definite integral of f(x) on [a,b].

How do you apply this limit definition to a normal function to find the definite integral? (Could someone give me math examples of this application?)

Is it like the method used with left and right endpoints in the limit definition where n -> oo for area under a curve? How is it different?

Thanks.

lim max deltax_k -> 0 sigma f(x_k*)*deltax_k = L,

where L is the definite integral of f(x) on [a,b].

How do you apply this limit definition to a normal function to find the definite integral? (Could someone give me math examples of this application?)

Is it like the method used with left and right endpoints in the limit definition where n -> oo for area under a curve? How is it different?

Thanks.

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