Guia 05 Integrales Impropios - LaPlace Mat3 (1).pdf - UNIVERSIDAD TECNOLOGICA DE EL SALVADOR ESCUELA DE CIENCIAS APLICADAS “ING JULIO CESAR ORANTES”

Guia 05 Integrales Impropios - LaPlace Mat3 (1).pdf -...

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UNIVERSIDAD TECNOLOGICA DE EL SALVADOR ESCUELA DE CIENCIAS APLICADAS “ING. JULIO CESAR ORANTES” CATEDRA DE CIENCIAS Y MATEMATICAS ASIGNATURA: MATEMATICA III GUIA No. 5 Matemática III. Ciclo 02-2009 Pág. 1 UNIDAD I I: “ INTEGRALES IMPROPIAS Y LA TRANSFORMADA DE LAPLACE Tema: Cálculo de integrales impropias y Transformada de Laplace. Objetivo: Que el estudiante sea capaz de hacer uso de conceptos de integrales, con límites al infinito y límites laterales, para la resolución de integrales impropias. I) Indicaciones: Resolver cada una de las siguientes integrales impropias, e indicar si converge o diverge. 1.  dx 3 x 2 x 1 0 R. 2 3 ln (converge) 2. 3 2 dw 9 w 3 R . 3 (converge) 3. 1 x 1 dx R. diverge 4. 8 1 3 x 1 dx R . 2 9 (converge) 5. 0 1 1 dv v 4 R . 4 2 (converge) 6. 0 1 t t dt R. (converge) 7. 0 x 2 dx e x R. 2 (converge) 8.
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