AufgabenSammlung Integralrechnung
Integration von Polynomen
a In S 4 43 7 dx x t 3 2 7x te
b Iz S 4 43 7 1dx I it Ix
1
I 4 t Ix te
c Is S Ü tz t It
Is X t t II
I3 X I j
2x t5g
3t
Is s t 3
S III S
In is s
n
In 3 6
n s
6
In
IntegrationdurchSubstitution
a In S 3 215dx z d day D
In S dir So du I vb IgUb
Ii Is 3 216tl
, b Ic S 5 sinkx 7 dx v2 1 dx du
i 2 2
Iz 5 Ssinluldy 5 I Ssinculdu
Iz E cosluttl
Iz E Codex 1 tl
C I3 S tz 5 7 dx du
5
5
Is S Inluttl
Is In 17 tl
d In S2x.hr t3Idxu x2t3dx du
2x 2x
In S2x u Sudu EHC
Ii 143124
e Is SCOslxl.si xIU sinCxIdx
d U
cosCxIcoscx
Iu Is
ScoscxI.u3 du
wsl
Su3du te
Is sincxtte
f IG S 6 2 41.1 3 2 dx u X 2x dx du
v 322 32.2
IG S 6 2 41 O e 2 SL3xz21u.tgq.z 2 sudu 2 lu
lx3
2xI2t gIIz
t I6
Sl6x24I.lx3 2xIdxu x322x d du
u 3 2 322
Integration von Polynomen
a In S 4 43 7 dx x t 3 2 7x te
b Iz S 4 43 7 1dx I it Ix
1
I 4 t Ix te
c Is S Ü tz t It
Is X t t II
I3 X I j
2x t5g
3t
Is s t 3
S III S
In is s
n
In 3 6
n s
6
In
IntegrationdurchSubstitution
a In S 3 215dx z d day D
In S dir So du I vb IgUb
Ii Is 3 216tl
, b Ic S 5 sinkx 7 dx v2 1 dx du
i 2 2
Iz 5 Ssinluldy 5 I Ssinculdu
Iz E cosluttl
Iz E Codex 1 tl
C I3 S tz 5 7 dx du
5
5
Is S Inluttl
Is In 17 tl
d In S2x.hr t3Idxu x2t3dx du
2x 2x
In S2x u Sudu EHC
Ii 143124
e Is SCOslxl.si xIU sinCxIdx
d U
cosCxIcoscx
Iu Is
ScoscxI.u3 du
wsl
Su3du te
Is sincxtte
f IG S 6 2 41.1 3 2 dx u X 2x dx du
v 322 32.2
IG S 6 2 41 O e 2 SL3xz21u.tgq.z 2 sudu 2 lu
lx3
2xI2t gIIz
t I6
Sl6x24I.lx3 2xIdxu x322x d du
u 3 2 322
