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2.1 Métodos de Integración

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About this activity

Whis resuelve la integral de la raíz cuadrada de la tangente de x

Created by

Eric Garces
Eric Garces
Mexico

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2.1 Métodos de Integración
 

2.1 Métodos de IntegraciónOnline version

Whis resuelve la integral de la raíz cuadrada de la tangente de x

by Eric Garces
QR
1

¿Cuál es el cambio de variable que se hace en este momento?

2

¿Cuál es la derivada de la tangente de x?

3

¿ Que se hace en este último paso de la integral?

4

En este paso se resolverá la integral ocupando la técnica de Fracciones Parciales

5

¿Qué es lo que se hace en este último paso?

6

Se resuelve la integral sin utilizar fracciones parciales

Explicación

El cambio de variable inicial es proponer u igual a la raíz cuadrada de la tangente de "x".

La derivada de la tangente de x es la secante cuadrada de x.

En este último paso de divide arriba y abajo de la integral por u cuadrada.

Se puede resolver por fracciones parciales pero se resolverá haciendo unos cambios de variable.

Aquí se separa el dos como 1 más 1, enseguida sumamos y restamos 1/(u^2)

En este video se resuelve la integral sin utilizar fracciones parciales.

 
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