Fundamental Theorem of Calculus Part 2
This page is dedicated to understanding how and why the FTC Part 2 works. The FTC Part 2 is written as seen in the image below. It means the derivative (notated d/dx which means the derivative of the function in terms of x) of the integral of a function, f(t) evaluated at x and a produces the original function. T is what we call a “dummy variable” and is just a place holder variable in the function until it can be replaced with x. In other words, taking the instantaneous rates of change of an accumulated area bounded by x results in the original function. This is literally the connection between differential and integral calculus.
Huh? It’s still ok to be confused. This is still hard stuff.
Huh? It’s still ok to be confused. This is still hard stuff.