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1.9.27 Integration by substitution (reverse chain rule) (A-level only)

When is reverse-chain-rule substitution likely to work?

A

ln⁡∣u∣+C\ln|u|+Cln∣u∣+C

B

The inner function's derivative also appears, up to a constant factor.

C

2sin⁡(x2+1)+C2\sin(x^2+1)+C2sin(x2+1)+C

D

The substitution u=g(x)u=g(x)u=g(x) transforms ∫f(g(x))g′(x) dx\int f(g(x))g'(x)\,dx∫f(g(x))g′(x)dx into ∫f(u) du\boxed{\int f(u)\,du}∫f(u)du​.

1.9.27 Integration by substitution (reverse chain rule) (A-level only) Flashcards

  1. A Level
  2. /Maths
  3. /1.9.27 Integration by substitution (reverse chain rule) (A-level only)

Flashcards for OCR (MEI) A Level Maths 1.9.27 Integration by substitution (reverse chain rule) (A-level only), covering the key formulae, methods and definitions you need to recall for Component 01, Component 02 and Component 03. 20 cards, matched to the OCR (MEI) A Level Maths (H640) specification. Recall questions account for roughly 50% of marks at A Level Maths, so these target the marks you can secure before the paper starts.