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IB Mathematics: Applications and Interpretation HL · 13.5: Integration · 13.5.7

The trapezium rule Problem set A Answers

Skills

  1. 0.855

  2. 1.41

  3. 13.8

  4. 2.75

  5. 4.93

  6. 20.6

In context

  1. 11.8 m

  2. 5.83 hundred litres

Stretch

    1. (a) 1.87
    2. (b) 1.81
    3. (c) 1.79; the 10-strip estimate is closer, because narrower strips fit the curve better
    1. (a) 20.7
    2. (b) 19.6
    3. (c) 19.2; the 2-strip estimate is 1.57 too large and the 4-strip estimate is 0.398 too large

jmaths.xyz · AI HL · 13.5.7 The trapezium rule