2-Kurs talabalari uchun "Oliy matematika" fanidan test topshiriqlari

84. 
    Qaysi integral to’g’ri aniqlangan?
    

A) *

dx



1



2x  2

 arctg

x 1

 C;





x

2

2

16

2



2x  5

2

 2x  5

 x





dx



1 

x 1

 arctg

x 1

 C;

B)





x

2

2

2



2x  5

 2x  5

8  x

2 



dx

1 

x 1

x 1



C)





 arctg

C;

x

2

 2x 

2

2

 2x 

2

5

16  x

5





dx

1 

x  2

x 1

D)





 arctg

C.

x

2

 2x 

2

2

5

4  x

 2x  5

2 

85. 

dx

 ?

x

2

 3x

A) *

1

ln

x

 C

;

B) ln

x

 C

; C)

3ln

x

 C ;

D)

1

ln

x  3

 C.

x 

3

x  3

x  3

x

3

3

86. 

dx

 ?

x

2

 x  2