NGUYEN HAM

<span class='text_page_counter'>(1)</span>C¸c bµi tËp vÒ nguyªn hµm 1 dx 7  2. x 1 (2 x  3)5 dx 7.. 5. 1.. x dx. 1 dx x  6. 2. 11.. 2x2  5. 26. 31..  1 3. x. 22.. dx. . 2. 18. dx.  2x. 2x. dx. x 27. 4  1 ( x  1) dx. dx x  x 1. 41.. cos 2xdx. 42.. 46.. sin 4xdx. sin( 2  7 )dx 47.  52. cos. cos 3 x sin xdx. 61.. cos ln x. 2. . dx x sin 2 x. sin 4 x sin xdx. dx x. x 1 dx x 1.  )dx 5.  1dx. 25.. x4 1. 30.. dx. 34.. x. 39.. x. 44.. cos. x2  4. 35.. 2x  1 dx  x2. . dx x2  3x 1. x(1  x)  . 20. x3 x8  1. dx. dx. xdx x4  x2  4. 3x  2 dx  4 x 1 40. dx cos2 (3x  1) dx 45.. 4 x. 2. 4. x(3x 1) dx. 3xdx. 2. dx dx 2  3 sin x) 50. 1  sin 2 x 49. dx cos 2 x dx 2 2   54. cos x 55. cos x sin x. dx 2 2x dx  53. sin x. (cos x .  48. sin. cos 3 x sin 2 xdx. 57. . 58. . 62. . cos x dx x 63.. cos x sin xdx. 2. 20.. dx. x. 29.. 15.. x2  3.  2x. 24.. 9. dx. dx. . 3. 2 x dx. cos(3x  43.. 36.. x. x(1  x ). 14.. 6 dx. 2x  x dx 10. 7. 3 5 dx. 19.. 3 cos xdx. 1. x. 5.. 2 10. x2 1. 37.. 2. 9.. dx. 2. dx. x5 x x. dx. 1 x xe dx.  5x. 2. 56. . x 23. . 2. 1. . 2. x x 5 2 (4  1) dx. dx. 1 dx 1 x. .  28.. 4.. x 1 dx 4  33. x  1 1 dx x  38. e  1. 32..  51. 1  sin 2 x. dx. x.  3x. . . 2.  13. 1  x. 1 3 x. dx 2  17. x  2 x 1. 3x. 8.. dx. dx 2  16. x  1 dx. 21.. x 3. .  12. 5. 2 x 1 3 dx. . 5. 59.. . tg 3. 64. . 2. xdx. 60.. cot g. 2. xdx. sin x dx 3 x sin 2 xdx.  65. cos. sin x cos xdx. dx  2 x  6 cos 2 x 70. 2 cos x  1 66. 67. 68. 1 dx dx sin x  cos x sin x  cos x sin x cos x tg 2 3 dx dx dx 2 2      x x 71. 72. sin x  9 cos x 73. sin x  cos x 74. sin x  cos x  2 75. sin x  cos x sin x  3cos x  1 dx cos 4 x  sin 4 x dx cos8 x  sin 8 x dx cos10 x  sin10 x dx     76. 77. 78. 79. sin x  cos x  2 3 tg xdx. tg (cos x)sin xdx. . . dx 4 4  80. sin x  cos x. 84. 88..  1  sin 2xdx. . . . 81.. a 2 sin 2 x  b 2 cos2 x. e 1 dx x 1. 82.. 89.. . 2.  93.. . cot gxtg  x  4 dx. sin 2 xdx  2 86. cos x tgx. x  2 3 x 2 1 dx 4 x 90. 1 2x  x dx 1 x 94.. 2. . . cos x sin xdx. 3x.  92. e. . tgxtg  x  3 dx. cos x sin xdx. . . 5. 85..  69. sin. 4 cot g xdx. . 2x . . x. 3. 3x.  83. sin. 2. sin x cos xdx 6 x  cos 6 x.  87. sin. . 2. dx. 91.. . x 2 1  x 2  1. 2. x 1 dx 4 1. x. dx x  2 cos 2 x  1. 95.. 1 . x4  1 dx 2x  1. dx.

<span class='text_page_counter'>(2)</span> 97.. xdx  x 1  x  2   x  3. xdx 3  98. x  3x  2. x. 99.. 2.  1 dx.  x  1  x 1. dx. 2. 100..  x  a   x  b .

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