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1.12.3 Numerical integration (A-level only)

Numerical integration estimates a definite integral using [     ] rather than exact algebraic integration.

A

If f′′(x)>0f''(x)>0f′′(x)>0 throughout an interval, the trapezium rule gives an overestimate. If f′′(x)<0\boxed{f''(x)<0}f′′(x)<0​ throughout, it gives an underestimate.

B

If f′′(x)>0\boxed{f''(x)>0}f′′(x)>0​ throughout an interval, the trapezium rule gives an overestimate. If f′′(x)<0f''(x)<0f′′(x)<0 throughout, it gives an underestimate.

C

Numerical integration estimates a definite integral using numerical function values rather than exact algebraic integration.

D

f′′(x)f''(x)f′′(x) changes sign within the interval.

1.12.3 Numerical integration (A-level only) Flashcards

  1. A Level
  2. /Maths
  3. /1.12.3 Numerical integration (A-level only)

Flashcards for AQA A Level Maths 1.12.3 Numerical integration (A-level only), covering the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3. 23 cards, matched to the AQA A Level Maths (7357) specification. Recall questions account for roughly 50% of marks at A Level Maths, so these target the marks you can secure before the paper starts.