C3 Flashcards
1
Q
product rule
A
dy/dx = u dv/dx + v du/dx
2
Q
quotient rule
A
dy/dx = v du/dx - u dv/dx / v^2
3
Q
integration by parts
A
f(u dv/dx)dx = uv - f(v du/dx)dx
4
Q
differentiate sinx
A
cosx
5
Q
differentiate cosx
A
-sinx
6
Q
integrate sinx
A
-cosx
7
Q
integrate cosx
A
sinx
8
Q
integrate tanx
A
lnsecx
9
Q
differentiate tanx
A
sec^2x
10
Q
integrate 1/ax+b
A
1/a ln|ax+b|
11
Q
differentiate lnx
A
1/x
12
Q
integrate f’(x)/f(x)
A
ln|f(x)|
13
Q
differentiate f(ax+b)
A
af’(ax+b)
14
Q
identity involving sec and tan
A
sec^2x = 1 + tan^2x
15
Q
identity involving cosec and cot
A
cosec^2 = 1 + cot^2x
16
Q
integrate e^ax
A
1/a e^x
17
Q
solids of revolution about the y axis
A
π f x^2 dy
18
Q
mid ordinate rule
A
area = h x sum of mid ordinates
19
Q
simpson’s rule
A
area = 1/3 h (sum of end ordinates +4(sum of odd ordinates) + 2(sum of remaining even ordinates))
