NGUYEN HAM

tg cos xsin xdx.[r]

C¸c bµi tËp vÒ nguyªn hµm

1

5

x dx

1

dx x

 3 5 x dx2 4 5

1

dx x



5 6x dx

6

1

2x dx



1 (2x  3) dx



8

1

1 x dx



9 3 5x x dx 10

2 7

x

x dx



11.

2 1

3 x dx

 12. 51 3x

dx



 13. 1 2

x dx x



 14 x(1x2 10) dx 15 x x(3 1)9dx

16. 2 1

dx

x 

 17. 2 2

dx

dx

x 



19 2 3

dx

x 



20 2 3 1

dx



21. 2 2 5

dx

x 



1

3x  2x dx



23.

3

22x

x dx

 24  2x21dx 25 x(1 x dx)20

26.

3

1 3

x

x dx





27.

2

4 1

x





28.

1 1

x dx x







29 4 1

dx

x x 



30

3

8 1

x dx

x 



dx



( 1)

5 1

x







33.

2 4

1 1

x dx x





 34 2 4

dx

x x 



35 4 2 4

xdx



36.

5

2 (4x x1) dx

 37. xe 1 x 2dx 38.

1 1

e 

 39 2

2 1 2

x dx



 

 40 2

3 2

4 4 1

x

dx



 



41 cos 2xdx 42. cos xdx3 43. cos(3x 5)dx





 44 cos 3xdx4 45 cos (32 1)

dx

dx

x 



46 sin 4xdx 47. sin(2 7)

x dx





 48. sin 22

dx x

 49. (cos 3 sin )2

dx



50. 1 sin 2

dx x





51. 1 sin 2

dx

x



 52. cos2 sin2

dx

 53. sindx x 54 cosdx x 55 2 2

cos 2 cos sin

x dx



56 cos3 sinx xdx 57. sin 4 sinx xdx 58. cos3 sinx 2xdx 59 tg xdx2 60 cot g xdx2

61. cos lnx dx

x

 62.  cos sinx xdx 63.

cos x

dx x



64.

3sin cosx xdx

sin cos

x dx x



66 tg(cos )sinx xdx 67. tg xdx3 68. cot g xdx4 69. sin2 6cos2

dx

sin 2 2cos 1

xdx

x 



1 dx

tg

x x

 72. sin2 9cos2

dx

 73. sinsinx xcoscosx x dx 74. sinsinxxcos cosxx2dx75. sinsin cosx xcosx x dx

76  cos4 xsin4x dx 77.  cos8xsin8x dx 78  cos10xsin10x dx 79.

sin 3cos 1 sin cos 2

dx



80. sin4 cos4

dx

 



82.

cot

4

gxtg x  dx

 



83. sin2 2cos2 1

dx



84 1 sin 2xdx 85. cos5x sinxdx 86.

2 2

sin cos

xdx

x tgx



sin cos sin cos



cos sin

sin cos



89.

3 2 4

dx x



90

dx x



4

1

dx x

  





92.

3 1

1

x

x

e

dx

e





2

1 2 1

x x dx x

 





94

2 4

1 1

x dx x





 95 1 dx2x1

97  1  2  3

xdx



98. 3 3 2

xdx

   

2

2

1

1 1



 



100    

dx

x a x b 

