Can someone please explain the two fundamental theorems of Calculus?

Answer 1

try this please: http://en.wikipedia.org/wiki/Fundamental_theorem_of_calculus

Answer 2

I only know of one fundamental theorem: the indefinite integral of a function is the same as the "antiderivative" of that function. It can be expressed two ways:

d/dx∫f(x)dx = f(x) or ∫d/dx[f(x)]dx = f(x)

The derivative of the integral of a function is the function.
The integral of the derivative of a function is the function.