Corollary:
Integral Evaluation Shortcut
Suppose f is an continuous function defined on the closed, bounded interval
[a, b], and F is a function on [a, b] such that F'(x) = f(x) for
all x in (a, b). Then
f(x) dx = F(b) - F(a)
Note: The function F is often called Antiderivative of
f, and this corollary is called First Fundamental Theorem of
Calculus in many calculus text books. Those books refer to
this theorem as the Second fundamental theorem
of calculus.
Proof: later
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