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7.7: Integración por Partes
https://espanol.libretexts.org/Matematicas/Calculo_informal_con_aplicaciones_a_las_ciencias_biologicas_y_ambientales_(Seacrest)/07%3A_Reglas_para_la_integraci%C3%B3n/7.07%3A_Integraci%C3%B3n_por_Partes
$\begin{align*} \frac{d}{dx} u \cdot v & = u v' + v u' \\ \int \frac{d}{dx} uvdx & = \int u v' + v u'dx \\ uv & = \int u v'dx + \int v u' dx \\ uv - \int v u'dx & = \int u v'dx, \end{align*}$ \[\beg... $\begin{align*} \frac{d}{dx} u \cdot v & = u v' + v u' \\ \int \frac{d}{dx} uvdx & = \int u v' + v u'dx \\ uv & = \int u v'dx + \int v u' dx \\ uv - \int v u'dx & = \int u v'dx, \end{align*}$ $\begin{align*} \int_0^2 x e^xdx & = x e^x - \int_0^2 e^xdx \\ & = x e^x - e^x \Big|_0^2 \\ & = (2 e^2 - e^2) - (0e^0 - e^0) \\ & = (e^2) - (0 - 1) \\ & = e^2 + 1 \end{align*}$

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