Subject: Fundamental Theorem of Calculus
Date: Fri, 3 Sep 2000 06:26:31 +0100
The derivative of a function represents the gradient at any point of the function were it graphed.
The integral of a function represents the area bounded between the function and the axis used in the integral, and any other bounds that may be used as limits, were it also graphed.
If this shows some understanding of what is derivative and what is integral, then perhaps you might explain to me why the area under the graph of a function 'g(x)' that represents the gradient of a function 'f(x)' when given as a function 'h(x)' is actually the function 'f(x)' + c, where c is an arbitary constant?
Do you know what is derivative and what is integral?