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25.5-ilova 



“Aniqmas integralda integrallash usullari” mavzusi bo’yicha test topshiriqlari 

 

I darajali testlar

 

1. 



+

dx



x

7

)



1

3

(



   integralni toping. 

A) 


C

x

C

t

C

t

dt

t

dx

x

+

+



=

+

=



+

=



=

+



24

)



1

3

(



24

8

3



1

3

)



1

3

(



8

8

8



7

7

 



В



C



x

C

t

C

t

dt

t

dx

x

+

+



=

+

=



+

=

=



+



7

)

1



3

(

7



7

7

)



1

3

(



8

8

8



7

7

 



 

15 


C) 

C

x

C

t

C

t

dt

t

dx

x

+

+



=

+

=



+

=



=

+



8

)



1

3

(



8

8

)



1

3

(



8

8

8



7

7

 



E) 

C

x

dx

x

+

+



=

+



8

)



1

3

(



)

1

3



(

8

7



 

2.  Bo’laklab integrallash formulasini toping. 

A) 





=

vdu



uv

udv

 

В





+

=

vdu



uv

udv

 

D) 





=

udu

uv

udv

 

E) 



+



=

udv

uv

udv

 

II darajali testlar

 

3.  


+

dx



x

x

3

2



1

 integralni toping. 

A)

( )


C

х

х



dt

t

xdx

x

+

+



+

=



=

+



3



2

2

3



3

2

1



1

8

3



2

1

 



В

( )



C

х

х



xdx

x

+

+



+

=



+



3

2

2



3

2

1



1

8

3



1

 

D) 



C

x

x

dt

t

xdx

x

+

+



+

=



=

+





3

2

2



3

3

2



1

)

1



(

8

3



2

1

 



E) 

( )


C

х

х



dt

t

xdx

x

+

+



=



=



+



3

2



2

3

3



2

1

1



8

3

2



1

 

 



4.  

 



mxdx

cos


  integralni toping. 

A) 


+



=

=

C



mx

m

mx

mxd

m

mxdx

sin


1

)

(



cos

1

cos



 

В

)



+



=



=

C

mx

m

mx

mxd

m

mxdx

sin


1

)

(



cos

1

cos



  

D) 


+



=

=

C



mx

m

mx

mxd

m

mxdx

cos


1

)

(



cos

1

cos



 

 

16 


E) 



+

=

=



C

mx

m

mx

mxd

m

mxdx

cos


1

)

(



sin

1

cos



 

III darajali testlar

 

5. 





x

dx

x

3

)



(ln

  integralni toping. 

A) 





+

=

+



=

=



C

x

C

t

dt

t

x

dx

x

4

)



(ln

4

)



(ln

4

4



3

3

 



В



+



=

+



=

=



C

x

C

t

dt

t

x

dx

x

4

)



(ln

4

)



(ln

4

4



3

3

 



D) 



+

=

+



=

=



C

x

C

t

dt

t

x

dx

x

3

)



(ln

3

2



3

)

(ln



2

2

3



3

 

E) 



+



=

=



C

x

dt

t

x

dx

x

3

)



(ln

4

)



(ln

4

3



3

                                                                     

 

6.  




xdx



e

x

cos


sin

   integralni toping. 

A) 





+

=

=





C

e

x

d

e

xdx

e

x

x

x

sin


sin

sin


)

(sin


cos

 

В





+

=



=



C

e

x

d

e

xdx

e

x

x

x

sin


sin

sin


)

(sin


cos

 

D) 



+



=

=



C

e

x

d

e

xdx

e

x

x

x

cos


cos

sin


)

(sin


cos

 

E) 



+



=



=



C



e

x

d

e

xdx

e

x

x

x

cos


cos

sin


)

(sin


cos

 

  



7. 



xdx



x

cos


  integralni toping. 

A) 


+



+

=



=

C

x

x

x

xdx

x

x

xdx

x

cos


sin

sin


sin

cos


 

В



+



=

+



=

C

x

x

x

xdx

x

x

xdx

x

cos


sin

sin


sin

cos


 

D) 


+



=



=

C



x

x

x

xdx

x

x

xdx

x

cos


sin

sin


sin

cos


 

E) 


+



+

=



=

C

x

x

xdx

x

xdx

x

cos


sin

sin


sin

cos


 

 

 

 

17 


25.6-ilova 

Mustaqil bajarish uchun topshiriqlar 

  

1.  


=

xdx



e

J

x

cos


    integralni hisoblang.

 

∫∫



+



.

ln

1



;

3

)



1

int


.

2

dx



x

x

x

dx

hisoblang

egrallarni

Ushbu

x

 

Quyidagi integrallarni hisoblang: 





+

.



sin

)

3



(

.

6



.

sin


.

5

.



.

4

.



3

arcsin


..

3

2



2

dx

x

x

dx

x

e

dx

e

x

dx

x

x

x

 

 



 

 

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