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Year 12 Maths Advanced (2027) Integral calculus

The Trapezoidal Rule

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Question 1
188616
Using one application of the trapezoidal rule (one trapezium), \(\displaystyle\int_{a}^{b} f(x)\,dx\) is approximately:
A.
\(\dfrac{b-a}{2}\big[f(a)+f(b)\big]\)
B.
\((b-a)\big[f(a)+f(b)\big]\)
C.
\(\dfrac{b-a}{2}\big[f(a)-f(b)\big]\)
D.
\(\dfrac{f(a)+f(b)}{2}\)
\(\dfrac{b-a}{2}\big[f(a)+f(b)\big]\)

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