How did Newton develop calculus and why use antiderivatives?

[eddybob123]

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.

 

[HallsofIvy]

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.

 

[gb7nash]

Did you just find that theorem in a book somewhere?