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

96. 

sin x

dx ning boshlang’ich funksiyasnii toping.

2

2

x

 cos

A)

* F (x)  C 

1

arctg ^

cos

x

^;

В) F (x)  arcctg ^

sin x 

 C;









2



2 



2 

С) F (x) 

1

arccos

tgx C;

D) to’g’ri javob yo’q.

2

2

97.



dx

ning boshlang’ich funksiyasini toping

1

2

x

 sin

A)

F (x)  ctgx  C;

В) F(x)  arcctgx  C;

С)* F (x) 

1

tgx)  C;

D) to’g’ri javob yo’q.

arctg (

2

2

98. 
     ^{sin 3 x} dx ning boshlang’ich funksiyasini toping. cos⁴ x
    

A) F (x) 

1



1

 C;

В) * F (x) 

1



1

 C;

cos x

3

cos x

3sin x

3cos x

С) F (x) 

1

 C;

D) F (x) 

1

 C.

3

3sin

3

x

cos

x

99. 

dx

uchun to’g’ri boshlang’ich funksiyani

toping

sin x

x

A)* F (x)  ln

tg

 C;

В) F(x)  ln | tgx | C;

2

С) F (x) 

1

 C;

D) F (x) 

1

 C .

cos^2

cos x

x

100. 
     cos x sin ² xdx ning boshlang’ich funksiyasini toping.
     

A) F (x) 

cos^3 x

 C;

В) F (x) 

cos^2 x

 C;

3

2

С) F (x) 

sin ^2 x

 C;

D) * F (x) 

sin ^3 x

 C.

2

3

101. 
      ^{x2  4}dx ni hisoblashda to’g’ri almashtirishni aniqlang. x
     

A) x  cos z  2;

В) to’g’ri javob yo’q .

С) * x 

2

;

D) x  tgz.

sin z

102. 

dx

ni hisoblashda to’g’ri almashtirishni aniqlang.

x

a

2

 x

2

A) x  2sin z;

В)

x 

1

;

С) x  arctgz;

D) * to’g’ri javob yo’q.

dx

z

103. 

ni hisoblashda to’g’ri almashtirishni ko’rsating.

2

x

5x

 2x 1

A) x  2sin z;

В)

x 

1

;

С) x  2tgz;

D) * to’g’ri javob yo’q.

z

104. 

dx

integralda dastlab qanday o’rniga qo’yish bajariladi?

(x  3)

2

x

 x 1

A) x  3  t ;

B) * x  3 

1

;

C) x^2  x 1  t ;D) x^2  x 1  t ^2 .

t

105. 
     3 x 1  x ³ dx integralda qanday o’ringa qo’yish bajarish lozim?
     

A) 3 x  t ; B) * x  t ⁶ ; C) t  x⁶ ; D) 1  x  t ³ . 106. y  cos x funksiya uchun qaysi bandda xato xulosa keltirilgan?

A) cos xdx  sin x  C ;

B)

^0

cos xdx  1;





2



0



C) *



cos xdx  0 ;

D)

cos xdx  0 .

2







2

107. y  sin x funksiya uchun qaysi bandda xato xulosa keltirilgan?





A) sin xdx cos x  C ;

B) 0^2

sin xdx 

;

2

0



^sin xdx  0 .

C) *^2

sin xdx 1;

D)

0

