User:Daniel triqui

integracion por partes
El método de integración por partes permite calcular la integral de un producto de dos funciones aplicando la fórmula :



Las funciones logarítmicas, "arcos" y polinómicas se eligen como u.

Las funciones exponenciales y trígonométricas del tipo seno y coseno, se eligen como v'.

Caso 1
En este primer caso aplicamos la fórmula directamente, tomando la x como u.









Caso 2
Si al integrar por partes tenemos un polinomio de grado n, lo tomamos como u y se repite el proceson veces.













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Caso 3
<p class="a" style="border: 0px currentColor; border-image: none; left: 4.01px; text-align: justify; line-height: 1.5em; margin-right: 20px; margin-left: 24.15px; position: relative;">Si tenemos una integral con sólo un logaritmo o un "arco", integramos por partes tomando: v' = 1.

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<p class="b" style="border: 0px currentColor; border-image: none; width: 725.03px; text-align: justify; line-height: 1.5em; margin-right: 20px; margin-left: 48.32px; position: relative;">

Caso 4
<p class="a" style="border: 0px currentColor; border-image: none; left: 4.01px; text-align: justify; line-height: 1.5em; margin-right: 20px; margin-left: 24.15px; position: relative;">Si al integrar por partes aparece en el segundo miembro la integral que hay que calcular, se resuelve como una ecuación.

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<p class="b" style="border: 0px currentColor; border-image: none; width: 725.03px; text-align: justify; line-height: 1.5em; margin-right: 20px; margin-left: 48.32px; position: relative;">

<p class="b" style="border: 0px currentColor; border-image: none; width: 725.03px; text-align: justify; line-height: 1.5em; margin-right: 20px; margin-left: 48.32px; position: relative;">

<p class="b" style="border: 0px currentColor; border-image: none; width: 725.03px; text-align: justify; line-height: 1.5em; margin-right: 20px; margin-left: 48.32px; position: relative;">

<p class="b" style="border: 0px currentColor; border-image: none; width: 725.03px; text-align: justify; line-height: 1.5em; margin-right: 20px; margin-left: 48.32px; position: relative;">

<p class="a" style="border: 0px currentColor; border-image: none; left: 4.01px; text-align: justify; line-height: 1.5em; margin-right: 20px; margin-left: 24.15px; position: relative;">Pasamos la integral del 2º miembro al 1º.

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