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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 A Answers

Skills

  1. \(\frac{92}{3}\) ≈ 30.7

  2. \(\frac{37}{12}\) ≈ 3.08

  3. 22.9

  4. 3.66

  5. \(\frac{49}{3}\) ≈ 16.3

  6. \(\frac{8}{5}\) = 1.6

  7. a = 20.25

    1. (a) x = −2 and x = 4
    2. (b) \(36\)

In context

  1. 7.90 m²

  2. 18.5 m²

  3. k = 2.88

Stretch

    1. (a) \(\frac{16}{3}\) and \(- \frac{63}{4}\)
    2. (b) \(\frac{253}{12}\) ≈ 21.1

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