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while learning Calculus at College level mathematics classes, we were told that:
Differentiation and Integration are opposite or complementary to each other....(1) Differentiation is Tangent to the given curve ....(2) and Integration is Area under curve....(3)

Now my question is: From (1), (2) and (3) above, what is complementary or opposite in Tangent to curve and Area under the curve ?

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    Why don't you try one of those [free MOOC calc courses from Coursera](https://www.coursera.org/course/calc1)? It's awesome. There's more to follow up.2014-05-27

2 Answers 2