The Trapezoidal Rule (Leaving Cert Mathematics): Flashcards

Approximate area of irregular shapes

Engineers and surveyors

$\frac{h}{2}[\text{first} + \text{last} + 2(\text{remaining})]$

Width of each strip

Offsets or ordinates

$y_1$, the starting measurement

$y_n$, the ending measurement

$y_2, y_3, y_4$, etc. - measurements between first & last

$n + 1$ ordinates

6 ordinates

$\frac{h}{2}(a + b)$

$\frac{\text{difference}}{\text{true value}} \times 100\%$

Use more strips (narrower widths)

Approximation, not exact value

Add ordinates above and below at each point