Disco de calculo Integrales
Alexis GonzalezTarea26 de Mayo de 2019
3.771 Palabras (16 Páginas)114 Visitas
[pic 1][pic 2]
[pic 3]
[pic 4]
U= x
= dx[pic 5]
du= dx
[pic 6]
U= 2x
[pic 7]
Du= dx
2x +C[pic 8]
U[pic 9]
X – [pic 10]
– [pic 11]
-(-) [pic 12][pic 13]
[pic 14]
U= 2x [pic 15]
([pic 16][pic 17]
[pic 18][pic 19]
= -[pic 20][pic 21]
[pic 22]
[pic 23][pic 24]
UV-[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]
UV-[pic 47][pic 48]
[pic 49]
[pic 50]
[pic 51]
[pic 52]
[pic 53][pic 54]
[pic 55][pic 56]
[pic 57]
[pic 58]
[pic 59]
[pic 60]
[pic 61]
[pic 62]
[pic 63]
= [pic 64][pic 65][pic 66]
U= x u= 3x [pic 67]
[pic 68][pic 69][pic 70]
Du= 1 * dx dx= [pic 71][pic 72]
Du= dx
[pic 73]
X [pic 74]
[pic 75]
U= 3x -[pic 76]
([pic 77][pic 78]
dx= - -[pic 79][pic 80]
+ [pic 81]
[pic 82]
[pic 83]
U = x [pic 84]
[pic 85][pic 86]
du=dx - x cos x - [pic 87]
= + [pic 88]
= sen x + C
- X cos x + sen x + C
dx = [pic 89][pic 90]
U= x [pic 91]
[pic 92][pic 93]
Du=dx U[pic 94]
-x [pic 95]
[pic 96]
[pic 97]
–x[pic 98]
[pic 99]
U = x [pic 100]
[pic 101][pic 102]
Du=dx U[pic 103]
X * [pic 104]
X * [pic 105]
[pic 106]
U= x [pic 107]
Du=dx [pic 108][pic 109]
U[pic 110]
2x [pic 111]
[pic 112]
[pic 113]
[pic 114]
[pic 115]
[pic 116]
[pic 117]
[pic 118]
U= x = [pic 119][pic 120]
u= 2x [pic 121][pic 122]
Du=dx [pic 123][pic 124]
dx= [pic 125][pic 126]
U[pic 127]
= X [pic 128]
= [pic 129]
[pic 130]
U= 2x ([pic 131]
[pic 132][pic 133]
dx= [pic 134][pic 135]
[pic 136]
∫ cos x (4 + 3x) dx = ∫ (4 + 3x) cos x dx[pic 137][pic 138]
U= 4 + 3x[pic 139][pic 140][pic 141]
du= (8x+3) dx
V= ∫ cos x dx
V= sen x + c
UV - ∫V du
(4 + 3x) sen x - ∫ sen x (8x+3) dx [pic 142]
(4 + 3x) sen x Por partes [pic 143]
- ∫(8x+3) sen x dx
U= 8x + 3
[pic 144]
du= 8 dx
V= ∫ sen x dx
V= - cos x + c
UV - ∫V du
(8x + 3) (- cos x) - ∫- cosx 8 dx
-8x cos x – 3 cos x + Por partes
+ cos x 8 dx
8 ∫ cos x dx
8 sen x + c
(4 + 3x) sen x - [-8x cos x – 3 cos x + 8 sen x] + c[pic 145]
= (4 + 3x) sen x + 8x cos x + 3 cos x - 8 sen x + c [pic 146]
∫ sen x dx = ∫ sen x dx [pic 147][pic 148]
U= [pic 149][pic 150]
du= dx[pic 151]
V= ∫ sen x dx
V= cos x + c
UV - ∫V du
( – cos x – ∫ - cos x dx [pic 152][pic 153]
- cos x + ∫ cos x dx[pic 154][pic 155]
Por partes
∫ cos x dx[pic 156]
U= [pic 157][pic 158]
du= dx [pic 159]
V= ∫cos x dx
V= sen x + c
UV - ∫V du
() sen x - ∫ sen x dx[pic 160][pic 161]
sen x Por partes [pic 162]
- ∫ sen x [pic 163]
CICLO
∫ sen x dx = - cos x + sen x - ∫ sen x dx [pic 164][pic 165][pic 166][pic 167]
∫ sen x dx + ∫ sen x dx = - cos x + sen x[pic 168][pic 169][pic 170][pic 171]
2 ∫ sen x dx = - cos x + sen x[pic 172][pic 173][pic 174]
...