Paper 1 · Integration ⏱ Tested in 2 exam questions since 2019 Lesson 10 of 13

Integration 10 – Anti- Derivatives

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You’ll learn

  • Differentiate a given F(x), then rearrange to find integrals with no direct rule
  • Use the 'hence find' structure: split ∫F′(x) dx = F(x) and isolate the unknown integral
  • Derive canonical results such as ∫ln x dx = x ln x − x + C

Most recent exam questions

  • 2022 Paper 1 Q2(a) — indefinite integral of a polynomial — apply the reverse power rule term by term
  • 2019 Paper 1 Q4(a) — routine indefinite integration of a polynomial term by term, using the power rule for in…

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