2
1
2
x2
yD
a >0
DE
a D
7
˙
q
x D
B
A
x
F
x
aD
ax C 3
2 y
3
G
1
. 3;
5/
H
2
I
L
K
0 3
p
q
H
p
q
J
J
R
x y
p q r
.x C y/2 D a.x 2 C y 2 / C bxy
p: x y
a b
q: x D 0
yD0
r: x D 0
yD0
p
p
r
p
p
p
r
aDbD1
I
aDbD2
K
aD2
xC
p
L
b
y
M
p
!2
0
B
C@
b
N
O
P
q
Á2 1
C 2
Ay D 0
b
Q
0
1
2
3
2
R
*1
fan g.n D 1; 2; 3; : : : /
a2 D 2 a6 D 3a3
*2
1
X
3n
r an
r
nD1
fan g
*3
a
d
aD
1
X
3n
r an
D
r
AB
E
C
dD
F
*4
nD1
*5
G
r
H
r >3
I
S
SD
J
r
L
r
K
M
S
O
N
rD
*1
*2
*3
*4
*5
arithmetic progression
series
common difference
common ratio
infinite geometric series
3
2
3 D D 3
f .x/ D sin 2x
t D sin x C cos x
3.sin x C cos x/
t
q
A
B
C
f .x/
E
F
q
G
| <
D
xD
4
q
H
I
D
A
1
f .x/ D
f .x/
0 9
I
log x
x
aaC1
.a C 1/a
*6
f 0 .x/ D
f .x/
x
a>0
E
A
log x
B
x
C
<
D
f .a/
f aC
G
x
D
p D aaC1 q D .a C 1/a
log p
log q D a
F
Ca
Án
3
2
3
0
*6
p
H
q
p
I
q
0 0
1 1
2 2
4 e
5 eC1
6
7 >
8 D
9 <
derivative
5
1
e
Áo
3 3
2
y D xe 2x
0 < a < 1
y D xe
2x
x
x
x D a
xDa
a
1
S.a/
S.a/
xe 2x
J
L
K
xe 2x
xe 2x < 0
x<0
S.a/ D
M
N
x
n
O
C
Á
1 e 2x C C
.C
>0
xD
>0
xe 2x D
P
S 0 .a/ D a
S.a/
*7
a
Q
a
S
aD
Á
e 2.a
T
e2 C
constant of integration
6
Á
1/
e 2.a
*7 /
1/
C
S.a/
R
a
Á
o
1 e 2a
C ae 2a
0
U