Typote Kidó Itegráltábláztok 1.. 3. 4. 5. 6. 7. 8. 9. 1. 11. 1. u dv = uv v du u du = u, 1, > l cosu du = siu siu du = cosu (+b) = (+b), 1 () (+b) 1 = 1 l +b 13. () 14. 15. 16. 17. 18. 19.. (+b) = (+b) [ +b + b ], 1, (+b) 1 = b l +b (+b) = 1 [ l +b + b ] +b (+b) = 1 b l +b ( +b) = ( +b) +, + +b = +b+b +b b = b rctg (b) b b +b +b = + +b +b +b = b b +b + = 1 rctg ( + ) = ( + ) + 1 3 rctg = 1 l + ( ) = ( ) + 1 4 3 l + = rsh = l (+ + ) + +b = 1 +b b l b +b+ b 1.. + = + + ( ) l + + + = 8 ( + ) + 4 ( ) 8 l + + George B. Thoms, Jr.
Typote Kidó 354 Itegráltábláztok 3. 4. 5. 6. 7. 8. 9. 3. 31. 3. 33. 34. 35. 36. 37. 38. 39. 4. 41. 4. 43. 44. 45. 46. 47. + = + + l + + ( ) = l + + + ( = + l + + )+ + + = 1 l + + + = + = rcsi = + rcsi = 4 8 rcsi 1 8 ( ) = + l = rcsi = rcsi 1 = 1 l + = = rch + = l = + l ( ) ) ( = ( ), 1 ( ) = ( ) ( ) 3 ( ) ( ), ( ) + ( ) =, + = 8 ( ) 4 + 8 l = rcsec = l+ + = l + = 1 rcsec = 1 rccos = ( ) = rcsi George B. Thoms, Jr.
Typote Kidó Itegráltábláztok 355 48. 49. 5. 51. 5. 53. 54. 55. 56. 57. 58. 59. 6. 61. 6. 63. 64. 65. 66. 67. 68. 69. 7. 71. 7. 73. = + rcsi ) ( ) = ( )( ( ) ) ( )( ( = ) ( ) + 3 ( ) + ( ) ( ) = (+)( 3) ( ) + 3 6 rcsi ( ) = + rcsi ( ) = rcsi ( ) = rcsi = 1 si = 1 cos cos = 1 si si = si 4 cos = + si 4 si = si 1 cos cos = cos 1 si sicosb = cos(+b) (+b) sisib = coscosb = si( b) ( b) si( b) ( b) + 1 si + 1 cos cos( b), b ( b) si(+b), b (+b) + si(+b), b (+b) sicos = cos 4 si cos = si, 1 () cos si = 1 l si cos si = cos, 1 () si cos = 1 l cos si cos m = si 1 cos m+1 + 1 (m+) m+ si cos m = si cos m 1 (m+) b+csi = b+csi = b c rctg 1 c b l + m 1 m+ [ b c ( π b+c tg 4 ) ], b > c c+bsi+ c b cos b+csi si cos m, m (visszvezethető si -re) si cos m, m (visszvezethető cos m -re), b < c George B. Thoms, Jr.
Typote Kidó 356 Itegráltábláztok 74. 75. 76. 77. 78. 79. 8. 81. 8. 83. 84. 85. 86. 87. 88. 89. 9. 91. 9. 93. 94. 95. 1+si = 1 ( π tg 4 1 si = 1 ( π tg 4 + ) ) b+ccos = b c rctg b+ccos = 1 c b l 1+cos = 1 tg 1 cos = 1 ctg si = 1 si cos cos = 1 cos+ si [ ] b c tg, b > c b+c c+bcos+ c b si b+ccos si = cos+ 1 cos cos = si 1 si tg = 1 l sec ctg = 1 l si tg = 1 tg ctg = 1 ctg tg = tg 1 ( 1) tg, 1 ctg = ctg 1 ( 1) sec = 1 l sec+tg csc = 1 l csc+ctg sec = 1 tg csc = 1 ctg sec = sec tg ( 1) csc = csc ctg ( 1) ctg, 1 + 1 + 1 96. sec tg = sec, 97. csc ctg = csc, 98. rcsi = rcsi+ 1 1 99. rccos = rccos 1 1 1. rctg = rctg 1 l(1+ ) 11. rcsi = rcsi sec, 1 csc, 1 1, 1, b < c George B. Thoms, Jr.
Typote Kidó Itegráltábláztok 357 1. 13. rccos = rccos+ rctg = rctg 14. e = 1 e 1, 1 1+, 1 15. b = 1 b, b >, b 1 lb 16. e = e ( 1) 17. e = 1 e 1 e 18. b = b lb 1 b, b >, b 1 lb 19. e sib = e (sib bcosb) + b 11. e cosb = e + b (cosb+bsib) 111. l = l 11. (l) m = (l) m m (l) m 1, 1 113. 1 (l) m = (l)m+1, m 1 m+1 114. l = l l 115. sh = 1 ch 116. ch = 1 sh 117. 118. 119. 1. sh = sh 4 ch = sh 4 + sh = sh 1 ch ch = ch 1 sh 1 + 1 11. sh = ch 1 sh 1. ch = sh 1 ch 13. sh = ch 1 ch 14. ch = sh 1 sh 15. th = 1 l(ch) 16. cth = 1 l sh 17. th = 1 th 18. cth = 1 cth 19. 13. th = th 1 ( 1) + cth = cth 1 ( 1) + th, 1 sh, ch, cth, 1 George B. Thoms, Jr.
Typote Kidó 358 Itegráltábláztok 131. sech = 1 rcsi(th) 13. csch = 1 l th 133. sech = 1 th 134. csch = 1 cth 135. 136. 137. 138. 139. 14. sech = sech th ( 1) csch = csch cth ( 1) + 1 1 sech th = sech, csch cth = csch, e shb = e e chb = e [ e b +b e b b [ e b +b + e b b 141. 1 e = Γ() = ( 1)!, > 14. e = 1 π, > 143. π/ si = sech, 1 ], b ], b csch, 1 π/ 1 3 5 ( 1) π, h páros egész szám cos = 4 6 4 6 ( 1), h 3 pártl egész szám 3 5 7 George B. Thoms, Jr.