Metodos de integracion (Metodos Numericos)
Enviado por Ariasr12 • 28 de Marzo de 2020 • Tareas • 535 Palabras (3 Páginas) • 123 Visitas
[pic 1]
[pic 2][pic 3][pic 4]
CONTENIDO
1. MÉTODOS DE INTEGRACIÓN 3
1.1 Método de trapecios 3
1.2 Simpson 1/3 12
1.3 Simpson 3/8 18
MÉTODOS DE INTEGRACIÓN
Método de trapecios
Obtener el valor de la integral: [pic 5][pic 6]
Utilizando:
- Un trapecio
- n = 5 trapecios
- calcular el error porcentual entre ambas soluciones
- Un trapecio
[pic 7]
[pic 8]
[pic 9]
[pic 10]
[pic 11]
Valor exacto:
[pic 12]
Error porcentual:
[pic 13]
- n = 5 trapecios
[pic 14]
[pic 15]
[pic 16]
[pic 17]
[pic 18]
[pic 19]
[pic 20]
∴ = [pic 21]
=[pic 22]
[pic 23]
[pic 24]
[pic 25]
Calcular las siguientes integrales indicadas con el método de trapecio:
- único
- múltiplo
- calcular la integral exacta
- calcular el E%
- n = 6[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]
Integral exacta:
[pic 47]
- n = 5[pic 48]
[pic 49]
[pic 50]
[pic 51]
[pic 52]
[pic 53]
Error porcentual:
[pic 54]
[pic 55]
[pic 56]
[pic 57]
[pic 58]
[pic 59]
[pic 60]
[pic 61]
∴
= [pic 62]
= [pic 63]
[pic 64]
= [pic 65]
Error porcentual:
[pic 66]
- Integral exacta:
[pic 67]
- n = 6[pic 68]
a)
[pic 69]
[pic 70]
[pic 71]
[pic 72]
Error porcentual:
[pic 73]
b)
[pic 74]
[pic 75]
[pic 76]
[pic 77]
[pic 78]
[pic 79]
[pic 80]
[pic 81]
∴
= [pic 82]
= [pic 83]
[pic 84]
= [pic 85]
Error porcentual:
[pic 86]
- Integral exacta:
[pic 87]
Simpson 1/3
[pic 88]
- n = 6[pic 89]
[pic 90]
[pic 91]
[pic 92]
[pic 93]
[pic 94]
[pic 95]
[pic 96]
[pic 97]
∴
[pic 98]
[pic 99]
[pic 100]
[pic 101]
[pic 102]
Integral exacta:
[pic 103]
Error porcentual:
[pic 104]
- n = 6[pic 105]
[pic 106]
[pic 107]
[pic 108]
[pic 109]
[pic 110]
[pic 111]
[pic 112]
[pic 113]
[pic 114]
[pic 115]
[pic 116]
[pic 117]
[pic 118]
Integral exacta:
[pic 119]
Error porcentual:
[pic 120]
- n = 6[pic 121]
[pic 122]
[pic 123]
[pic 124]
[pic 125]
[pic 126]
[pic 127]
...