Paper 1 · Integration ⏱ Tested in 5+ recent exam questions Lesson 12 of 13

Integration 12 – Area between a curve and the x- axis

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You’ll learn

  • Find the area between a curve and the x-axis as a definite integral
  • Sketch first, split the integral at every interior root, and take absolute values
  • Find the area between a curve and a line, using the triangle formula as a shortcut
  • Find the total area between two curves by summing region magnitudes

Most recent exam questions

  • 2026 P1 Q10(c)
  • 2025 P1 Q4(c) — deferred
  • 2024 P1 Q10(c)(i)
  • 2024 P1 Q6(b)(ii) — deferred
  • 2024 P1 Q9(d) — deferred

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