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Why must an indefinite integral include +C+C+C?
A
Differentiate it and recover the integrand exactly.
B
sin(f(x))+C\displaystyle \sin(f(x))+Csin(f(x))+C
C
For k≠0k\neq0k=0, ∫sin(kx) dx=\displaystyle \int \sin(kx)\,dx=∫sin(kx)dx= −1kcos(kx)+C\boxed{\displaystyle -\frac{1}{k}\cos(kx)+C}−k1cos(kx)+C.
D
Every constant differentiates to zero.
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3.6.1 Integration (A-level only) Flashcards
22 flashcards on CCEA A Level Maths 3.6.1 Integration (A-level only): the key formulae, methods and definitions you need to recall for AS 1, AS 2, A2 1 and A2 2.