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Maths A Level > C3 > Flashcards

Flashcards in C3 Deck (19):
1

product rule

dy/dx = u dv/dx + v du/dx

2

quotient rule

dy/dx = v du/dx - u dv/dx / v^2

3

integration by parts

f(u dv/dx)dx = uv - f(v du/dx)dx

4

differentiate sinx

cosx

5

differentiate cosx

-sinx

6

integrate sinx

-cosx

7

integrate cosx

sinx

8

integrate tanx

lnsecx

9

differentiate tanx

sec^2x

10

integrate 1/ax+b

1/a ln|ax+b|

11

differentiate lnx

1/x

12

integrate f'(x)/f(x)

ln|f(x)|

13

differentiate f(ax+b)

af'(ax+b)

14

identity involving sec and tan

sec^2x = 1 + tan^2x

15

identity involving cosec and cot

cosec^2 = 1 + cot^2x

16

integrate e^ax

1/a e^x

17

solids of revolution about the y axis

π f x^2 dy

18

mid ordinate rule

area = h x sum of mid ordinates

19

simpson's rule

area = 1/3 h (sum of end ordinates +4(sum of odd ordinates) + 2(sum of remaining even ordinates))