Isaac Newton & Calculus: Inventing, Antiderivatives & F(b)-F(a)

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Isaac Newton developed calculus through his exploration of motion and change, focusing on concepts like limits and infinitesimals. The antiderivative is essential for finding the area under a curve, which is a fundamental application of calculus. The expression F(b) - F(a) represents the net change in the function between two points, crucial for understanding accumulation. While the discussion touches on these foundational concepts, it emphasizes that the historical development by Newton and Leibniz is distinct from the practical applications taught in calculus courses. Understanding these principles requires a deeper dive into calculus texts and their explanations.
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when isaac Newton was inventing calculus, how did he do it? why do we get the antiderivative? why do we have to F(b)-F(a)? I am just interested to know.
 
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I really have no clue what you are asking. Have you taken a Calculus course? Why we would want to find an anti-derivative and why we subtract the values of the anti-derivative at two different points are explained in any Calculus text.

And they have nothing to do with how Newton (and Leibniz) developed Calculus to begin with.
 
Did you just find that theorem in a book somewhere?
 

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