Paper 1 · Integration ⏱ Tested in 5+ recent exam questions Lesson 11 of 13

Integration 11 – Average value

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You’ll learn

  • Find a function's average value with avg = (1/(b−a))·∫ₐᵇ f(x) dx — not in the tables
  • Distinguish Paper 1 'average' (integration) from Paper 2 'average' (statistical mean)
  • Contrast average speed (avg-value formula) with the distance function (∫v dt + C)

Most recent exam questions

  • 2025 P1 Q10(a)(iii) — deferred
  • 2025 P1 Q9(b)(iii)
  • 2024 P1 Q6(a)(ii) — deferred
  • 2024 P1 Q7(c)(ii)
  • 2023 P1 Q7(d)

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