Intergralate

Superficial thought suggests the following relationship:

(1)

This relationship can be shown to be consistent with the Fundamental Theorem of Calculus, as follows:

The Fundamental Theorem of Calculus states

(2)

The right sides from equations 1 and 2 are equal. So, their left sides are also equal.

(3)

This relation is satisfied when

(4)

which is indeed the case. Therefore, equation 1 is proven.