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IB Mathematics: Applications and Interpretation HL · AHL 3: Further Integration · AHL 3.5

Area between a curve and the x-axis Problem set B Answers

Skills

  1. \(\frac{164}{3}\) ≈ 54.7

  2. \(\frac{131}{4}\) = 32.75

  3. 43.4

  4. 5.66

  5. \(\frac{112}{9}\) ≈ 12.4

  6. \(3\)

  7. a = 12.25

    1. (a) x = −5 and x = 3
    2. (b) \(\frac{256}{3}\) ≈ 85.3

In context

  1. 5.97 m²

  2. 27.2 m²

  3. k = 2.82

Stretch

    1. (a) \(\frac{99}{4}\) and \(- \frac{160}{3}\)
    2. (b) \(\frac{937}{12}\) ≈ 78.1

jmaths.xyz · AI HL · AHL 3.5 Area between a curve and the x-axis