Tallinna Tehnikaülikool Diskreetne Matemaatika KODUTÖÖ TALLINN 2008 1. f( x1, x2, x3, x4 ) = (0, 2, 3, 4, 9, 12, 14)1(8, 11, 13)- 2. MKNK (Karnaugh) x1x2x3x 00 01 11 10 4 00 1 0 1 1 01 1 0 0 0 11 1 - 0 1 10 - 1 -0 0 MKNK: ()()() MDNK (McCluskey) Ind Nr. M Ind Nr-d. Vahe M Ind. Nr-d. V M . . 0 0 (0000) X 0-1 0-2 (00-0) 2 A 0-1-1- 0-4-8-12 (-- 4,8 A 1 2 00) 2
11.44. xe-x dx. Vastus: -xe-x - e-x + C. x+2 1 11.45. (x + 2) sin 2xdx. Vastus: - cos 2x + sin 2x + C. 2 4 x x x 11.46. x cos dx. Vastus: 2x sin + 4 cos + C. 2 2 2 x · 3x 3x 11.47. x3x dx. Vastus: - 2 + C. ln 3 ln 3 11.48. x sh xdx. Vastus: x ch x - sh x + C 11.49. ln xdx. Vastus: x ln x - x + C. 11.50. arccos xdx. Vastus: x arccos x - 1 - x2 + C. 1 2 11.51. x arctan xdx. Vastus: [(x + 1) arctan x - x] + C. 2 11.52. ln(x2 + 1)dx