Trapezoidal Rule (HSC SSCE Mathematics Standard): Flashcards

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Trapezoidal Rule
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Purpose of trapezoidal rule

Estimate area of shapes with irregular boundaries

Trapezoidal rule formula

A=h2(df+dl)A = \frac{h}{2}(d_f + d_l)

AA in trapezoidal rule

Area of the shape being estimated

hh in trapezoidal rule

Perpendicular width between parallel sides

dfd_f in trapezoidal rule

Distance along the first parallel side

dld_l in trapezoidal rule

Distance along the last parallel side

When to use trapezoidal rule

Shapes with irregular boundaries

Benefit of multiple applications

Better estimate of true area

Key property of hh

Always perpendicular to parallel sides

In 2 applications: dld_l of section 1

Equals dfd_f of section 2

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