Theorem 15 (Composite Trapezoidal 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 Trapezoidal Rule for [Maple Math] subintervals of [Maple Math] can be written as

[Maple Math]

Here, [Maple Math] .

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