Lucas Flashcards
Memorizartion (39 cards)
1
Q
d/dx * (sinx) =
A
cos(x)
2
Q
d/dx * (cosx) =
A
-sin(x)
3
Q
d/dx * (tanx) =
A
sec^2 (x)
4
Q
d/dx * (cscx) =
A
-cscxcotx
5
Q
d/dx * (secx) =
A
secxtanx
6
Q
d/dx * (cotx) =
A
- csc^2(x)
7
Q
sin^2(x) + cos^2(x) =
A
1
8
Q
1 - cos^2(x) =
A
sin^2(x)
9
Q
1 - sin^2(x) =
A
cos^2(x)
10
Q
tan^2(x) + 1 =
A
sec^2(x)
11
Q
sec^2(x) - 1 =
A
tan^2(x)
12
Q
cot^2(x) + 1 =
A
csc^2(x)
13
Q
csc^2(x) - 1 =
A
cot^2(x)
14
Q
∫sec(x)dx
A
ln| secx + tanx | + C
15
Q
sin(2x) =
A
2sinxcosx
16
Q
∫sin(x)dx =
A
- cosx + C
17
Q
∫sec^2(x) =
A
tanx + C
18
Q
∫1/(x^2 + 1)dx =
A
arctan(x)
19
Q
∫dx/x =
A
ln |x| + C
20
Q
∫b^x dx =
A
(b^x) / ln(b) + C
21
Q
∫cos(x)dx =
A
sin(x) +C
22
Q
∫csc^2 (x) =
A
-cot(x) + C
23
Q
∫1/(1 - x^2)^(1/2) =
A
arcsin(x) +C
24
Q
∫sec(x)tan(x)dx =
A
sec(x) + C
25
∫csc(x)dx =
ln|cscx - cotx| + C
26
tan(2x) =
2tan(x) / (1 - tan^2(x))
27
cos(2x) =
cos^2(x) - sin^2(x)
2cos^2(x) - 1
1 - sin^2(x)
28
∫arcsin(x)dx =
(x)arcsin(x) + (1 + x^2)^(1/2) + C
29
∫arccos(x)dx =
(x)arccos(x) - (1 - x^2)^(1/2) + C
30
∫arctan(x)dx =
(x)arctan(x) - (1 / 2) * ln( 1 + x^2) + C
31
∫arccsc(x)dx =
(x)arccsc(x) + ln(x + (x^2 - 1)^(1/2 ))+ C
32
∫arcsec(x)dx =
(x)arcsec(x) - ln(x + (x + (x^2 +1)^(1/2)) + C
33
∫arccot(x)dx =
(x)arccot(x) + (1 / 2) * ln(1 + x^2) +C
34
d/dx arcsin(x) =
1 / ((1-x^2)^(1/2))
35
d/dx arccos(x) =
- 1 / ((1- x^2)^(1/2))
36
d/dx arctan(x) =
1 / (1 + x^2)
37
d/dx arccot(x) =
-1 / (1+ x^2)
38
d/dx arcsec(x) =
1 / (|x| * (x^2 - 1)^(1/2))
39
d/dx arccsc(x) =
-1 / (|x| * (x^2 - 1)^(1/2))
