Trapezium Rule (Numerical Integration) (AQA A-Level Mathematics): Flashcards

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Trapezium Rule (Numerical Integration)
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Upper bound rectangles give what type of estimate?

Overestimate

Lower bound rectangles give what type of estimate?

Underestimate

Trapezium rule formula

12h(y0+yn+2∑middle y)\frac{1}{2}h(y_0+y_n+2\sum \text{middle } y)

How many ordinates for 5 strips?

6 ordinates

How to improve trapezium rule accuracy?

Use more/thinner strips

Trapezium rule on positive convex curve gives?

Overestimate

What is hh in trapezium rule?

Width of each strip

Upper bound: ∫05x2dx\int_0^5 x^2 dx via rectangles

55

Lower bound: ∫05x2dx\int_0^5 x^2 dx via rectangles

30

Integration is limit as h→h \to ?

0 (zero)

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