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

82. 
    Qaysi boshlang’ich funksiya to’g’ri topilgan?
    

A) 

x 1

dx  ln

x^2 1

 C;

В) 

x 1

dx 

1

ln

x^2

 x 1

 C;

2

2

x

 x 1

x

 x 1

2

С) *

x 1

dx 

1

 x 1



2x



1

 C;

D) to’g’ri javob yo’q.

ln

x^2

3arctg

x

2

 x 1

2

3

83. Qaysi bandda integrallash to’g’ri bajarilgan?



1

2



2x 1

2

2x 1



A)

*

dx 





arctg



C;

2

2

2

(x

 x



1)

3



2(x

 x 1)

3

3







В) 

1

dx 

2

2x 1

C;

(x

2

 x 

1)

2

3 2(x

2

 x

1)

С)



1

dx 

4

arctg

2x



1

C;

(x

2

 x 1)

2

3

3



1



4x 1



D)

dx 



 ln

x^2  x 1



C.

2

2

2

(x

 x 1)



(x

 x 1)





