Gu\u00eda Aplicaci\u00f3n de la Integral.pdf - UNIVERSIDAD DEL B\u00b4 IO-B\u00b4 IO FACULTAD DE CIENCIAS \u00b4 DEPARTAMENTO DE CIENCIAS BASICAS \u00b4 CHILLAN Docente Edwars

Guía Aplicación de la Integral.pdf - UNIVERSIDAD DEL B´...

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UNIVERSIDAD DEL B ´ IO-B ´ IO FACULTAD DE CIENCIAS DEPARTAMENTO DE CIENCIAS B ´ ASICAS CHILL ´ AN Docente: Edwars Jim´ enez Gu´ ıa: Aplicaci´on de la integral 1. Usando el m´ etodo de los discos, V = π ˆ b a ( f ( x )) 2 dx. para encontrar el volumen de la regi´ on acotada por: a ) y = 2 x 2 , y = 0, x = 0, x = 5, rotando en torno al eje X . b ) x 2 - y 2 = 16, y = 0, x = 8, rotando en torno al eje X . c ) y = 4 x 2 , x = 0, y = 16, rotando en torno al eje Y . d ) 4 x 2 + 9 y 2 = 36, rotando en torno al eje X . e ) 4 x 2 + 9 y 2 = 36, rotando en torno al eje X . 2. Usar el m´etodo de los anillos,V=π ˆ b a ( f ( x )) 2 - ( g ( x )) 2 dx. para encontrar el volumen de: 3. Usar el m´etodo de las capas, V = 2 π ˆ b a xf ( x ) dx. para encontrar el volumen de: 4. Usar la f´ormula de longitud de arco,L= ˆ b a p 1 + ( f 0 ( x )) 2 dx para calcular la longitud de las siguientes curbas:
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  • Winter '17
  • mabely
  • Recta, Circunferencia, UNIVERSIDAD DEL, Esfera, Longitud de arco, Edwars Jim´enez

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