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ENGENHARIA B

Por:   •  24/11/2015  •  Pesquisas Acadêmicas  •  12.991 Palavras (52 Páginas)  •  142 Visualizações

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  1. Utilizando a tabela de primitivas imediatas, calcule:
  1. [pic 1]                                                Resposta: [pic 2]
  2. [pic 3]                                                Resposta: [pic 4]
  3. [pic 5]                                                Resposta: [pic 6]
  4. [pic 7]                                                        Resposta: [pic 8]
  5. [pic 9]                                                Resposta: [pic 10]
  6. [pic 11]                                        Resposta: [pic 12]
  7. [pic 13]                                        Resposta: [pic 14]
  8. [pic 15]                                                Resposta: [pic 16]
  9. [pic 17]                                        Resposta: [pic 18]
  10. [pic 19]                                                        Resposta: [pic 20]
  11. [pic 21]                                        Resposta: [pic 22]
  12. [pic 23]                                                        Resposta: [pic 24]
  13. [pic 25]                                        Resposta: [pic 26]
  14. [pic 27]                                                Resposta: [pic 28]
  15. [pic 29]                                                Resposta: [pic 30]
  16. [pic 31]                                                        Resposta: [pic 32]
  17. [pic 33]                                                        Resposta: [pic 34]
  18. [pic 35]                                                Resposta: [pic 36]
  19. [pic 37]                                                Resposta:[pic 38]
  1. Calcule:
  1. [pic 39]                            Resposta : [pic 40]
  2. [pic 41]                            Resposta : [pic 42]
  3. [pic 43]                           Resposta : [pic 44]
  4. [pic 45]                         Resposta : [pic 46]
  5. [pic 47]                       Resposta : [pic 48][pic 49]
  6. [pic 50]                       Resposta: [pic 51]
  7. [pic 52]                            Resposta : [pic 53]
  8. [pic 54]            Resposta : [pic 55]
  9. [pic 56]                Resposta : [pic 57]
  10. [pic 58]                   Resposta : [pic 59]
  11. [pic 60]                         Resposta : [pic 61]
  12. [pic 62]                            Resposta : [pic 63]
  13. [pic 64]                          Resposta : [pic 65]
  14. [pic 66]                  Resposta : [pic 67]
  15. [pic 68]             Resposta : [pic 69]
  16. [pic 70]                Resposta : [pic 71]
  17. [pic 72]            Resposta : [pic 73]
  1. Prove, utilizando mudança de variável que:
  1. [pic 74], [pic 75]
  2. [pic 76], [pic 77]
  3. [pic 78], [pic 79]
  4. [pic 80], [pic 81]
  5. [pic 82]
  6. [pic 83]
  1. Calcule as integrais, utilizando mudança de variáveis.
  1. [pic 84]                                                        Resposta: [pic 85]
  2. [pic 86]                                                        Resposta: [pic 87]
  3. [pic 88]                                                Resposta: [pic 89]
  4. [pic 90]                                                Resposta: [pic 91]
  5. [pic 92]                                                Resposta: [pic 93]
  6. [pic 94]                                                Resposta: [pic 95]
  7. [pic 96](dica: u = 1 + x2 [pic 97] du = 2xdx)                Resposta: [pic 98]
  8. [pic 99]                                        Resposta: [pic 100]
  9. [pic 101]                                                        Resposta: [pic 102]
  10. [pic 103]                                                        Resposta: [pic 104]
  11. [pic 105]                                                        Resposta: [pic 106]
  12. [pic 107] (dica: u = 1 + x [pic 108]u – 1 = x e du = dx)                Resposta: [pic 109]
  13. [pic 110]                                                Resposta: [pic 111]
  14. [pic 112]                                                        Resposta: [pic 113]
  15. [pic 114]                                                        Resposta: [pic 115]
  16. [pic 116]                                                        Resposta: [pic 117]
  17. [pic 118]                                                Resposta: [pic 119]
  18. [pic 120] (dica: [pic 121])                        Resposta: [pic 122]
  19. [pic 123](dica: [pic 124])                Resposta: [pic 125]
  20. [pic 126]                                                        Resposta: [pic 127]
  21. [pic 128]                                                        Resposta: [pic 129]
  22. [pic 130]                                                        Resposta: [pic 131]
  23. [pic 132]                                                        Resposta: [pic 133]
  24. [pic 134], [pic 135]                                Resposta: [pic 136]
  1. Resolva os exercícios a seguir utilizando o método de substituição:
  1. [pic 137]

  1. [pic 138]
  1. [pic 139]
  1. [pic 140]
  2. [pic 141]
  1. [pic 142]
  1. [pic 143]
  1. [pic 144]
  1. [pic 145]
  1. [pic 146]
  1. [pic 147]
  1. [pic 148]
  2. [pic 149]
  3. [pic 150]
  4. [pic 151]
  1. [pic 152]
  1. [pic 153]
  1. [pic 154]
  1. [pic 155]
  2. [pic 156]
  1. [pic 157]

v) [pic 158]

Resposta: [pic 159]

Resposta: [pic 160]

Resposta: [pic 161]

Resposta: [pic 162]

Resposta: [pic 163]

Resposta: [pic 164]

Resposta: [pic 165]

Resposta: [pic 166]

Resposta: [pic 167]

Resposta: [pic 168]

Resposta: [pic 169]

Resposta: [pic 170]

Resposta: [pic 171]

Resposta: [pic 172]

Resposta: [pic 173]

Resposta: [pic 174]

Resposta: [pic 175]

Resposta: [pic 176]

Resposta: [pic 177]

Resposta: [pic 178]

Resposta: [pic 179]

      Resposta: [pic 180]

  1. Calcule as integrais, utilizando mudança de variáveis.
  1. [pic 181]                                        Resposta: [pic 182]
  2. [pic 183]                                        Resposta: [pic 184]
  3. [pic 185]                                                Resposta: [pic 186]
  4. [pic 187]                                        Resposta: [pic 188]
  5. [pic 189]                                Resposta: [pic 190]
  6. [pic 191]                                        Resposta: [pic 192]
  7. [pic 193]                                        Resposta: [pic 194]
  8. [pic 195]                                        Resposta: [pic 196]
  9. [pic 197]                                        Resposta: [pic 198]
  10. [pic 199]                                        Resposta: [pic 200]
  11. [pic 201]                                        Resposta: [pic 202]
  12. [pic 203]                                        Resposta: [pic 204]
  13. [pic 205]                                        Resposta: [pic 206]
  14. [pic 207]                                Resposta: [pic 208]
  15. [pic 209]                                        Resposta: [pic 210]
  16. [pic 211]                                        Resposta: [pic 212]
  17. [pic 213]                                Resposta: [pic 214]
  18. [pic 215]                                        Resposta: [pic 216]
  19. [pic 217]                                        Resposta: [pic 218]
  1. Calcule as integrais, utilizando mudança de variáveis.
  1. [pic 219]                                                Resposta: -1/2 sen(2x) +C
  2. [pic 220]                                           Resposta: [pic 221]
  3. [pic 222]                                                   Resposta: [pic 223]
  4. [pic 224]                                                  Resposta: [pic 225]
  5. [pic 226]                                          Resposta: [pic 227]ta:
  6. [pic 228]                                      Resposta: [pic 229]
  7. [pic 230]                                            Resposta: [pic 231] 
  8. [pic 232]                                               Resposta: arctan -1(ex) + C
  9. [pic 233]                                                Resposta: (ln x)2 + C
  10. [pic 234]                                          Resposta: [pic 235]
  11. [pic 236]                                      Resposta: [pic 237] 

  1. Resolver as seguintes integrais usando a técnica de integração por partes
  1. [pic 238]                                                 Resposta:  [pic 239] 
  2. [pic 240]                                                 Resposta:  [pic 241]
  3. [pic 242]                                                 Resposta:  [pic 243]
  4. [pic 244]                                                Resposta:  [pic 245]
  1. Calcule as integrais definidas.
  1. [pic 246]                                        Resposta: 12
  2. [pic 247]                                        Resposta: 8
  3. [pic 248]                                        Resposta: 8
  4. [pic 249]                                Resposta: 21/2
  5. [pic 250]                                Resposta: 8/3
  6. [pic 251]                                Resposta: 4
  7. [pic 252]                                        Resposta: 4
  8. [pic 253]                                Resposta: 14
  9. [pic 254]                                Resposta: 25/2
  10. [pic 255]                        Resposta: 4/3
  11. [pic 256]                                Resposta: 3/2
  12. [pic 257]                                Resposta: [pic 258]
  13. [pic 259]                                Resposta: 32/3
  14. [pic 260]                                        Resposta: ln(3) – ln(2)
  15. [pic 261]                                Resposta: 15/8
  16. [pic 262]                                Resposta: 1/3
  17. [pic 263]                                Resposta: 2
  18. [pic 264]                        Resposta: 1/2
  19. [pic 265]                                Resposta: 1
  20. [pic 266]                                Resposta: [pic 267]
  21. [pic 268]                                Resposta: 156
  22. [pic 269]                        Resposta: 0
  23. [pic 270]                                Resposta: 1/18
  1. Calcule as integrais definidas abaixo:
  1. [pic 271]                                         Resposta : [pic 272]
  2. [pic 273]                             Resposta : [pic 274]
  3. [pic 275]                             Resposta  : 0
  4. [pic 276]                     Resposta : - 6,667
  5. [pic 277]                             Resposta : 8,667
  6. [pic 278]                             Resposta : 8
  7. [pic 279]                             Resposta : [pic 280]
  1. Calcular a área determinada pelas curvas de equações  ;  ;  e . [pic 281][pic 282][pic 283][pic 284]

Resposta: [pic 285]

  1. Calcule a área compreendida entre os gráficos das funções[pic 286] ;  e a reta           [pic 287][pic 288]

Resposta: [pic 289]

  1. Calcule a área compreendida entre a curva , o eixo  e as retas     e   .        [pic 290][pic 291][pic 292][pic 293]

Resposta: 23,2 u. a.

  1. Calcular a área entre as curvas  e  no intervalo .[pic 294][pic 295][pic 296]

Reposta: [pic 297]

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