Dodatak: Neodredjeni integral
R
0
dx
=
C
R
cos
xdx
= sin
x
+
C
R
dx
=
x
+
C
R
sin
xdx
=
−
cos
x
+
C
R
x
n
dx
=
x
n
+1
n
+1
+
C , n
6
=
−
1
R
dx
cos
2
x
dx
= tan
x
+
C
R
dx
x
= ln
|
x
|
+
C
R
dx
sin
2
x
dx
=
−
ctgx
+
C
R
e
x
dx
=
e
x
+
C
R
dx
√
1
−
x
2
= arcsin
x
+
C
R
a
x
dx
=
a
x
ln
a
+
C
R
dx
1+
x
2
= arctan
x
+
C
R
dx
x
2
+
a
2
=
1
a
arctan
x
a
+
C
R
dx
x
2
−
a
2
=
1
2
a
ln
x
−
a
x
+
a
+
C
R
dx
√
x
2
±
a
2
= ln
x
+
√
x
2
±
a
2
+
C
R
dx
√
a
2
−
x
2
= arcsin
x
a
+
C
R
xdx
x
2
±
a
2
=
1
2
ln
|
x
2
±
a
2
|
+
C
R
√
a
2
−
x
2
dx
=
1
2
(
a
2
arcsin
x
a
+
x
√
a
2
−
x
2
) +
C
R
xdx
√
x
2
±
a
2
=
√
x
2
±
a
2
+
C
R
√
x
2
±
a
2
dx
=
1
2
x
√
x
2
±
a
2
±
a
2
ln
|
x
+
√
x
2
±
a
2
|
+
C
R
sin
mx
cos
nxdx
=
−
1
2(
m
+
n
)
cos (
m
+
n
)
x
−
1
2(
m
−
n
)
cos (
m
−
n
)
x
+
C , m
6
=
n
R
sin
mx
cos
mxdx
=
−
1
4
m
cos (2
mx
) +
C , m
=
n
R
sin
mx
sin
nxdx
=
1
2
sin (
m
−
n
)
x
m
−
n
−
sin (
m
+
n
)
x
m
+
n
+
C , m
6
=
n
R
sin
2
mxdx
=
x
2
−
sin (2
mx
)
4
m
+
C , m
=
n
R
cos
mx
cos
nxdx
=
1
2
sin (
m
+
n
)
x
m
+
n
+
sin (
m
−
n
)
x
m
−
n
+
C , m
6
=
n
R
cos
2
mxdx
=
x
2
+
sin (2
mx
)
4
m
+
C , m
=
n
R
sin
m
x
cos
n
xdx
=
sin
m
+1
x
cos
n
−
1
x
m
+
n
+
n
−
1
m
+
n
R
sin
m
x
cos
n
−
2
xdx , m, n
∈
N
R
sin
m
x
cos
n
xdx
=
−
sin
m
+1
x
cos
n
+1
x
n
+1
+
m
+
n
+2
n
+1
R
sin
m
x
cos
n
+2
xdx , m >
0
, n <
0
R
sin
m
x
cos
n
xdx
=
sin
m
+1
x
cos
n
+1
x
m
+1
+
m
+
n
+2
m
+1
R
sin
m
+2
x
cos
n
xdx , m <
0
, n >
0
R
sin
n
xdx
=
−
1
n
cos
x
sin
n
−
1
x
+
n
−
1
n
R
sin
n
−
2
xdx
+
C , n
≥
2
R
cos
n
xdx
=
1
n
sin
x
cos
n
−
1
x
+
n
−
1
n
R
cos
n
−
2
xdx
+
C , n
≥
2
R
dx
sin
n
x
=
−
1
n
−
1
cos
x
sin
n
−
1
x
+
n
−
2
n
−
1
R
dx
sin
n
−
2
x
, n
≥
2
R
dx
cos
n
x
=
1
n
−
1
sin
x
cos
n
−
1
x
+
n
−
2
n
−
1
R
dx
cos
n
−
2
x
, n
≥
2
R
sin
2
n
+1
xdx
=
R
(1
−
cos
2
x
)
n
sin
xdx
, smjena cos
x
=
t
.
R
cos
2
n
+1
xdx
=
R
(1
−
sin
2
x
)
n
cos
xdx
, smjena sin
x
=
t
.
R
sin
2
n
xdx
=
R
sin
2
x
n
dx
, zamjena sin
2
x
=
1
−
cos 2
x
2
.
R
cos
2
n
xdx
=
R
(cos
2
x
)
n
dx
, zamjena cos
2
x
=
1+cos 2
x
2
.
