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IB Mathematics: Applications and Interpretation HL · AHL 3: Further Integration · AHL 3.4

Definite integrals by hand and with the calculator Problem set A Answers

Skills

    1. (a) \(\frac{124}{5}\) = 24.8
    2. (b) \(3\)
    1. (a) \(- \frac{65}{4}\) = −16.25
    2. (b) \(39\)
    1. (a) \(\frac{3}{2}\) = 1.5
    2. (b) \(\frac{1}{2}\) = 0.5
    1. (a) \(5\)
    2. (b) \(12\)
    1. (a) \(\ln\left(\frac{7}{2}\right)\) ≈ 1.25
    2. (b) \(12\)
  1. \(\frac{5\sqrt3}{3}\) = 2.89

In context

  1. 22.3 litres

  2. \(\frac{128}{5}\) = 25.6 m

  3. 18 thousand bacteria

Stretch

  1. k = 5

  2. \(\frac{14}{3} + 6\ln 4\) ≈ 13.0

jmaths.xyz · AI HL · AHL 3.4 Definite integrals by hand and with the calculator