CAAKA 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