∫
|
|
m
f (x)[f
(x)]
dx
=
α + 1 + c;α ƒ=
−1;
1
Integrali
1.
J
α
[
f
(
x
)]
α
+1
2.
f
j
(
x
)
dx
=
log
f
(
x
)
+
c
;
f
(
x
)
3.
f
J
(
x
)
sin[
f
(
x
)]
dx
=
−
cos[
f
(
x
)]
+
c
;
4.
f
J
(
x
)
cos[
f
(
x
)]
dx
=
sin[
f
(
x
)]
+
c
;
5.
f
J
(
x
)
cos
2
[
f
(
x
)]
dx = tan[f (x)] + c;
6.
f
J
(
x
)
sin
2
[f
(x)]
dx =
−
cot[f (x)] + c;
7.
f
J
(
x
)
e
f
(
x
)
dx
=
e
f
(
x
)
+
c
;
8.
∫
f
J
(
x
)
a
f
(x)
af (x)
dx = log a + c;a
>
0
∧
a ƒ= 1;
9.
f
J
(
x
)
1 + [f
(x)]2
dx = arctan[f (x)] + c;
10.
f
J
(
x
)
m2 + [f
(x)]2
1
dx =
m
arctan
Σ
f
(x)
Σ
+ c;m > 0;
∫
∫
∫
∫
∫
∫
∫
∫
