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If F′(x)=f(x)F'(x)=f(x)F′(x)=f(x), then ∫abf(x) dx=\int_a^b f(x)\,dx=∫abf(x)dx= [...]\text{[...]}[...].
A
Solve f(x)=0f(x)=0f(x)=0.
B
A solid of revolution.
C
The volume formed by rotating y=f(x)y=f(x)y=f(x) from x=ax=ax=a to x=bx=bx=b about the x-axis is V=π∫ab[f(x)]2 dx\boxed{V=\pi\int_a^b [f(x)]^2\,dx}V=π∫ab[f(x)]2dx.
D
If F′(x)=f(x)F'(x)=f(x)F′(x)=f(x), then ∫abf(x) dx=\int_a^b f(x)\,dx=∫abf(x)dx= F(b)−F(a)\boxed{F(b)-F(a)}F(b)−F(a).
Card 1 of 21
3.6.7 Integration (A-level only) Flashcards
21 flashcards on CCEA A Level Maths 3.6.7 Integration (A-level only): the key formulae, methods and definitions you need to recall for AS 1, AS 2, A2 1 and A2 2.