Ch7 Flashcards
0
Q
Derivative of the arccos U
A
-u’/(1-u^2)^1/2
1
Q
Derivative of the arcsin U
A
=u’/(1-u^2)^1/2
2
Q
Derivative of the arctan u
A
=u’/(1+u^2)
3
Q
∫u’/(a^2-u^2)^1/2dx =
A
Arcsin u/a +C
4
Q
∫u’/(a^2+u^2)dx =
A
1/a arctan u/a +C
5
Q
Integration by parts
A
∫u dv = uv- ∫v du
6
Q
P=
A
M/(1+Ce^-kmt)
7
Q
Indeterminate forms
A
∞•0 ∞-∞ 1^∞ 0^0 ∞^0
8
Q
∫cosx=
A
Sinx
9
Q
∫sinx =
A
-cosx
10
Q
∫sec^2=
A
Tanx+C
11
Q
∫csc^2 x=
A
-cotx +C
12
Q
∫sec x tan x=
A
Sec x+C
13
Q
∫csc x cot x =
A
-csc +C
14
Q
Eulers method
A
X | Y | M | Delta Y=m delta x
