Ap Calc Flashcards
1
Q
cos2x
A
cos^2x-sin^2x
2
Q
cos^2x
A
1/2 + cos2x/2
3
Q
sin^2x
A
1/2 - cos2x/2
4
Q
tan^2x+1
A
sec^x
5
Q
d’ tank
A
sec^2x
6
Q
d’ secx
A
secxtanx
7
Q
d’ cotx
A
-csc^2x
8
Q
d’ cscx
A
-cscxcotx
9
Q
d’ sin^-1x
A
1/√(1-x^2) dx
10
Q
d’ tan^-1x
A
1/(x^2+1) dx
11
Q
d’ sec^-1x
A
1/(|x|√(x^2-1) dx
12
Q
Ln1
A
0
13
Q
Lne
A
1
14
Q
Lne^x
A
x
15
Q
e^Lnx
A
x
16
Q
Lnx^n
A
nLnx
17
Q
LnA+LnB
A
Ln(A*B)
18
Q
LnA-LnB
A
Ln(A/B)
19
Q
d’ Lnx
A
1/x dx
20
Q
n√x
A
x^(1/n)
21
Q
1/x
A
x^-1
22
Q
(a/b)^-1
A
b/a
23
Q
x^a^b
A
x^(a*b)
24
Q
∫cos^2x dx
A
∫1/2 + ∫cos2x/2
25
Q
∫sin^2x dx
A
∫1/2 - ∫cos2x/2
26
Q
∫dx/√(a^2-x^2)
A
sin^-1(x/a) +c
27
Q
∫dx/x√(x^2-a^2)
A
1/x(sec^-1(u/a)) + c
28
Q
∫dx/(a^2+x^2)
A
1/a tan^-1(x/a) + c
29
Q
∫tanx dx
A
-Ln|cosx| + c
30
Q
∫cotx dx
A
Ln|sinx| + c
31
Q
∫secx dx
A
Ln|secx+tanx| +c
32
Q
∫cscx dx
A
-Ln|cscx+cotx| +c
33
Q
∫sec^2x dx
A
tan x +c
34
Q
∫csc^2x dx
A
-cotx + c
35
Q
∫secxtanx
A
secx +c
36
Q
∫cotxcscx
A
-cscx +c
37
Q
sin0
A
0
38
Q
sin1
A
1
39
Q
sin(30)
A
1/2
40
Q
sin(45)
A
√2/2
41
Q
sin(60)
A
√3/2
42
Q
cos0
A
1
43
Q
cos1
A
0
44
Q
cos(30)
A
√3/2
45
Q
cos(45)
A
√2/2
46
Q
cos(60)
A
1/2
47
Q
tan(0)
A
0
48
Q
tan(π/2)
A
0
49
Q
tan(π/4)
A
1
50
Q
0°
A
0
