Hi, my question is more theoritical. I know how to integrate ( mostly) but I don't understand the integration process itself. I asked teachers, looked on the internet, etc... The concept that FTC 1 and FTC 2 explain. I do not understand how integrating a function gives its anti derrivative ( therefore, I'm guessing integrating means finding the area, then how does the anti derrivative define the area).
By the logic above, a change in x(or delta x ) is the sum of the infinitesimal changes dx . It is also equal to the sum of the infinitesimal products of the derivative and time. This infinit

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Wikipedia explanation of the FTC and integral

Or you could watch session 52 where FTC1 & 2 are proved.

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