Hello everyone, I have a question that I have spent many nights pondering and hours on my whiteboard considering. I apologize in advance if this question seems a bit elementary, but to me it is something that I believe is all important before I can understand all of calculus.(adsbygoogle = window.adsbygoogle || []).push({});

How is differentiation, the use of limits that allows us to find the instantaneous rate of change (the slope), interals of increase/decrease, and one of the ways of deriving functins of velocity and acceleration

the opposite of

Integration, definite or indefinite, which is usually described as the limit of a infinite sum of areas under a curve(definite), or a family of functions (indefinite)?

I understand the mathematical justifications and proofs involving anti differentiation and the fundamental theorems of calculus, what I struggle with Is the Conceptual connection. My math teacher last year struggled to explain it to me but he said it had to do with D=vt?

Anyone's help is much appreciated:)

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# Relationship between Differentiation and Integration?

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