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Whenever we are taking area under the curve we leave some area while calculating the area. We take it for a small change in x and then add it. But at the end there is some part of the total area which is left. Is integration an approximation?

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  • $\begingroup$ As a rule the area is defined starting from the integral, not vice versa. $\endgroup$ – Tony Piccolo Jun 16 '13 at 11:09
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The integral is defined using limits. The things you are taking the limit of are approximations.

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