ONBEPAALBE
enseranae INTEGRAAL
invegranl
P135-136
1. S 47 =
x +2
alx
8
2. S ' : S xdx
= XE
+ :4
x'dhx
,
x?+C
C
3
x x x
n d
x
5 1Y +
Y}
dhx
: * +
EmnkI+C
S
4. SagC x alX cot x tC
=-
?
S
5m alx
:5 Lroszx
k
cos : taosx ta
'xjax
-ginx
.
-h05'x
0ss4
cosax -
Sx
6.
Gahy
: =
x +2
-"'alx
yu
%3
52*
z dx
2 +
:
.
C
enz
:
+2
8. dx dx Edd : qus
0
:
x SE x
S BY
: 6. to
5
1
x
.
.
S
un
9. S 4 :
4. sin xax =-4
S
cosxa1x
sinxalx
S
to Stan :
ax 6 :
ax cosax : s e c i x lax - tC
sinax
1.
sax
cosex
?xdx
tanx-x
-n
.
S S
Xakx SxEdx xB
2
1 : -
+
y.
C
z
12. di 24. 105 = 5 2 : 20^ YE
o?ahn
Eiszo
S
13. +8 S
4". 7.
4"
8
: +
4S42-74
x+C
.
Jdx
s SC
=
J
bithx thog Simax lossy tornx
Jax
M Cx + : x ta
'x
:
-cot
4.
sin zX C sainzx cosax saizxcosex sink 4
05'x
.
c05'x
18.
1
242 dx 43+4-
Jalx -
:
:J2x+*-4
x2+x-conutC
X-4
emkta
SxÇ ta
46.
x X ax
= ahx ahx S x 6 :
+?-8
:
Jx.xB
E
= ax
x2
.
us
E
1 7. S C taumax dx 7 5 seatxdx =
tamn tE
1+
3
S 4?. 4-0. ch
18. X 4
= - Qax
3
=EextC
S
x'alx
S
19.
S -
ahx
? S zsinzx
ax
= ^2
5
simzydx
= Yinzyalx =-
cotx ta
cosax
I
ES
45)
J 24+1 =
Y
J 2* ax } : B
20. dx = B
= gS +
JaXrada
a
.
3772
ess
*
3< 3
x
J^
+
Sce
Bena
Int dx aX
*
+2+ =
+
J
.
C
.
P
137
Se svee
4x-1ax
M : E
:4xrn
.
at 4 ch
dEn
:
= =3
4
d4
Setal Set : = e
4*-e
C
Satat
23 =
Edt I Y
- x
.
E
4
,et
,
2.5 6 stel it at -
:
I
=hogex
s'xalx
o
si (2 chan =3 At 1 C sim L Ex
-2
xJ
d4:
1}
=35 tdx
enseranae INTEGRAAL
invegranl
P135-136
1. S 47 =
x +2
alx
8
2. S ' : S xdx
= XE
+ :4
x'dhx
,
x?+C
C
3
x x x
n d
x
5 1Y +
Y}
dhx
: * +
EmnkI+C
S
4. SagC x alX cot x tC
=-
?
S
5m alx
:5 Lroszx
k
cos : taosx ta
'xjax
-ginx
.
-h05'x
0ss4
cosax -
Sx
6.
Gahy
: =
x +2
-"'alx
yu
%3
52*
z dx
2 +
:
.
C
enz
:
+2
8. dx dx Edd : qus
0
:
x SE x
S BY
: 6. to
5
1
x
.
.
S
un
9. S 4 :
4. sin xax =-4
S
cosxa1x
sinxalx
S
to Stan :
ax 6 :
ax cosax : s e c i x lax - tC
sinax
1.
sax
cosex
?xdx
tanx-x
-n
.
S S
Xakx SxEdx xB
2
1 : -
+
y.
C
z
12. di 24. 105 = 5 2 : 20^ YE
o?ahn
Eiszo
S
13. +8 S
4". 7.
4"
8
: +
4S42-74
x+C
.
Jdx
s SC
=
J
bithx thog Simax lossy tornx
Jax
M Cx + : x ta
'x
:
-cot
4.
sin zX C sainzx cosax saizxcosex sink 4
05'x
.
c05'x
18.
1
242 dx 43+4-
Jalx -
:
:J2x+*-4
x2+x-conutC
X-4
emkta
SxÇ ta
46.
x X ax
= ahx ahx S x 6 :
+?-8
:
Jx.xB
E
= ax
x2
.
us
E
1 7. S C taumax dx 7 5 seatxdx =
tamn tE
1+
3
S 4?. 4-0. ch
18. X 4
= - Qax
3
=EextC
S
x'alx
S
19.
S -
ahx
? S zsinzx
ax
= ^2
5
simzydx
= Yinzyalx =-
cotx ta
cosax
I
ES
45)
J 24+1 =
Y
J 2* ax } : B
20. dx = B
= gS +
JaXrada
a
.
3772
ess
*
3< 3
x
J^
+
Sce
Bena
Int dx aX
*
+2+ =
+
J
.
C
.
P
137
Se svee
4x-1ax
M : E
:4xrn
.
at 4 ch
dEn
:
= =3
4
d4
Setal Set : = e
4*-e
C
Satat
23 =
Edt I Y
- x
.
E
4
,et
,
2.5 6 stel it at -
:
I
=hogex
s'xalx
o
si (2 chan =3 At 1 C sim L Ex
-2
xJ
d4:
1}
=35 tdx
