When learning about the Fundamental Theorem of Calculus, I relied mostly on inductive learning. This is kind of surprising to me because I am usually a really visual person and need to actually see how things work, like the proof of the Fundamental Theorem of Calculus would, before I completely understand them. In this case, though, the proof actually confused me more because there are little things that I don't really need to know that are included in the proof. Seeing examples and learning from those is what helped me the most because I was able to notice a pattern in the answers that we found.
In my mind, the Fundamental Theorem of Calculus shows exactly what calculus is all about. Calculus is pretty much completely made up of derivatives and antiderivatives of functions, and the Fundamental Theorem of Calculus truly shows how derivatives and antiderivatives of a function are related in mathematical terms. This theorem can be used in many ways, such as finding a function, finding the derivative of a function, finding the antiderivative of a function, etc.
In my mind, the Fundamental Theorem of Calculus shows exactly what calculus is all about. Calculus is pretty much completely made up of derivatives and antiderivatives of functions, and the Fundamental Theorem of Calculus truly shows how derivatives and antiderivatives of a function are related in mathematical terms. This theorem can be used in many ways, such as finding a function, finding the derivative of a function, finding the antiderivative of a function, etc.