The proof I'm familiar with for relating the antiderivative to the area under a curve involves usage of the mean value theorem, which for that particular case, implies continuity for the curve. Thus, integration as a process for finding the area under a curve should be valid under the conditions that the curve is continuous for the given domain, right?(adsbygoogle = window.adsbygoogle || []).push({});

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# Antiderivative as Area under Curve

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