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Resuelve la siguiente integral con el método de Fracciones Parciales

Ask by Mcdonald Malone. in Mexico
Jan 07,2025

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La integral se resuelve utilizando fracciones parciales y se obtiene la solución .

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Para resolver la integral utilizando el método de fracciones parciales, primero factorizamos el denominador:
Podemos escribir la fracción como una suma de fracciones parciales:
Multiplicamos ambos lados por el denominador :
Desarrollamos el lado derecho:
Igualando coeficientes, obtenemos el siguiente sistema de ecuaciones:
Sustituyendo en la primera ecuación:
Por lo tanto, podemos reescribir la integral como:
Ahora integramos cada término:
Finalmente, la solución de la integral es:

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