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Why must an indefinite integral include a constant of integration?
A
Integration by parts.
B
Reversing the chain rule gives ∫F′(g(x))g′(x) dx=F(g(x))+C\boxed{\displaystyle \int F'(g(x))g'(x)\,dx=F(g(x))+C}∫F′(g(x))g′(x)dx=F(g(x))+C.
C
Every constant differentiates to zero.
D
Integration by substitution.
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3.6.4 Integration (A-level only) Flashcards
20 flashcards on CCEA A Level Maths 3.6.4 Integration (A-level only): the key formulae, methods and definitions you need to recall for AS 1, AS 2, A2 1 and A2 2.