Calculo integral

Integración normal

[pic 1]

[pic 2]

        [pic 3]

[pic 4]

[pic 5]

[pic 6]

   [pic 7]

    [pic 8][pic 9]

[pic 10]

[pic 11]

[pic 12]

[pic 13]

[pic 14]

[pic 15]

[pic 16]

[pic 17]

[pic 18]

[pic 19]

      [pic 20]

    [pic 21]

[pic 22]

[pic 23]

[pic 24]

[pic 25]

[pic 26]

[pic 27]

                          [pic 28][pic 29]

[pic 30]

[pic 31]

[pic 32]

[pic 33]

[pic 34]

[pic 35]

[pic 36]

[pic 37]

                                                     [pic 38]

[pic 39]

[pic 40]

=[pic 41][pic 42]

[pic 43]

[pic 44]

[pic 45]

[pic 46]

[pic 47]

8.-k [pic 48]

  [pic 49]

[pic 50][pic 51]

[pic 52]

[pic 53]

[pic 54]

[pic 55]

[pic 56]

9.-[pic 57]

     [pic 58]

[pic 59]

[pic 60]

 [pic 61]

[pic 62]

[pic 63]

10.-[pic 64]

[pic 65]

[pic 66]

[pic 67]

[pic 68]

[pic 69]

[pic 70]

[pic 71]

[pic 72]

11.- [pic 73]

[pic 74]

[pic 75]

[pic 76]

[pic 77]

 [pic 78]

[pic 79]

[pic 80]

[pic 81]

[pic 82]

12.-[pic 83]

[pic 84]

[pic 85]

[pic 86]

  [pic 87]

[pic 88]

[pic 89]

13.-[pic 90]

[pic 91]

[pic 92]

[pic 93]

[pic 94]

[pic 95]

[pic 96]

[pic 97]

[pic 98]

[pic 99]

[pic 100]

[pic 101]

14.- =[pic 102][pic 103]

             [pic 104]

[pic 105]

[pic 106]

[pic 107]

[pic 108]

 [pic 109][pic 110]

Formula:

[pic 111]

[pic 112]

[pic 113]

[pic 114]

[pic 115]

[pic 116]

15.- [pic 117]

            [pic 118]

       [pic 119][pic 120]

[pic 121]

[pic 122]

[pic 123]

[pic 124]

[pic 125]

[pic 126]

Formula:

[pic 127]

[pic 128]

[pic 129]

[pic 130]

[pic 131]

16.- [pic 132]

4           36      [pic 133][pic 134][pic 135]

x[pic 136][pic 137]

[pic 138]

[pic 139]

[pic 140]

[pic 141]

[pic 142]

   Formula:

[pic 143]

[pic 144]

[pic 145]

[pic 146]

[pic 147]

17.- du[pic 148]

3          2          [pic 149][pic 150]

uu[pic 151][pic 152]

[pic 153]

[pic 154]

[pic 155]

[pic 156]

[pic 157]

Formula:

[pic 158]

[pic 159]

[pic 160]

[pic 161]

18.- [pic 162]

          [pic 163]

           xx[pic 164][pic 165]

           [pic 166]

[pic 167]

[pic 168]

[pic 169]

[pic 170]

Formula:

[pic 171]

[pic 172]

[pic 173]

[pic 174]

19[pic 175]

[pic 176]

U=x                      U=x                            [pic 177]

n=                     n=1[pic 178]

==                     [pic 179][pic 180][pic 181][pic 182]

[pic 183]

=dx[pic 184]

[pic 185]

[pic 186]

U=x                          U=x                      [pic 187]

n=                                      [pic 188][pic 189]

==     [pic 190][pic 191][pic 192]

      [pic 193]

=dx[pic 194]

[pic 195]

                             [pic 196]

Datos:                                                         [pic 197]

C=2                       C=3         c=5  

U=x                      U=x                               [pic 198]

n=-3                     n=--2

==                     [pic 199][pic 200][pic 201][pic 202]

[pic 203]

=dx[pic 204]

[pic 205]

[pic 206]

C=1                      C=1         c=3

U=x                      U=x                               [pic 207]

n=-4                     n=--2                             [pic 208]

==                      [pic 209][pic 210][pic 211][pic 212]

     [pic 213]

=dx[pic 214]

=[pic 215][pic 216]

[pic 217]

U=x                                C=4             c=4                            [pic 218]

n=                        U=              U=x                    [pic 219][pic 220]

==n=                      [pic 221][pic 222][pic 223][pic 224][pic 225]

      n=      =    [pic 226][pic 227][pic 228][pic 229][pic 230]

25 =         [pic 231][pic 232][pic 233][pic 234]

[pic 235]

U=y                                C=2                                                         [pic 236]

n=                        U=y              U=y                    [pic 237]

==n=                      [pic 238][pic 239][pic 240][pic 241][pic 242]

      n=      =[pic 243][pic 244][pic 245][pic 246]

=dy[pic 247]

...