Theorem 16 (Composite Midpoint Rule)

Assume [Maple Math] has its 1st and 2nd derivative continuous on [Maple Math] . Then there exists a [Maple Math] in [Maple Math] so that the Composite Midpoint Rule on [Maple Math] subintervals of [Maple Math] can be written as

[Maple Math] .

Here, [Maple Math] .

>