CAA
KA NIEOZNACZONA 2.
2x 3
44. dx
x2 3x 4
1
45. dx
Odpowiedzi.
(x 3)(x 5)
x 2
44. ln x2 3x 4 C
46. dx
x2 5x 6
1 x 3
45. ln C
x2 8 x 5
47. dx
x2 x 2
46. 5ln x 3 4ln x 2 C
1 4
47. x ln x 1 ln x 2 C
12 4x
48. dx 3 3
x2 (x 6)
3
x 6 2 2
2
48. ln C 49. (tgx 4) C
x x
3
tgx 4
49. dx
50. sin3 x(1 1 sin2 x) C
cos2 x
3 5
2
50. sin2 xcos3 xdx
51. 2 x(ln x 4ln x 8) C
1 2 2
52. x2 sin3x xcos3x sin 3x C
ln2 x
3 9 27
51. dx
x
2x
1 1 1
53. C 54. e (x2 x ) C
2 2
2sin2 x
52. x2 cos3xdx
7 5
x 2
1 55. 3ln(x2 4x 9) arctg C
53. dx
5
5
tg3xcos2 x
9 7
2x x
56. arctg C
54. x2e dx
7
7
6x 5
55. dx 1
57. 2ln x 1 ln(x2 1) 3arctgx C
2
x2 4x 9
1
9
58. e2x (2sin 3x 3cos3x) C
56. dx
13
x2 7
1 1
59. ln x ln x2 1 arctgx C
2 x
x2 2x 5
57. dx
1 x2 1
x3 x2 x 1
ln arctgx C
2 x
x2 1
58. e2x sin3xdx
(x 2)2 3 x 1
5
60. ln arctg C
arctgx
24 4
x2 2x4 3
59. dx
x2
x
61. 2e ( x 1) C
2x 1
60. dx
x3 8 2
62. x 1(x 2) C
3
x
61. e dx
2 2
63. x 1(x 1)(x ) C
5 3
x
62. dx
x 1
63. x x 1dx