Card 1 of 20
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.
Card 1 of 20
1.9.27 Integration by substitution (reverse chain rule) (A-level only) Flashcards
20 flashcards on OCR (MEI) A Level Maths 1.9.27 Integration by substitution (reverse chain rule) (A-level only): the key formulae, methods and definitions you need to recall for Component 01, Component 02 and Component 03.