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Formula
Calculate the integral
Answer
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$\int{ xe ^{ x } }d{ x }$
$x e ^ { x } - e ^ { x }$
Calculate the integral
$\displaystyle\int { \color{#FF6800}{ x } \color{#FF6800}{ e } ^ { \color{#FF6800}{ x } } } d { \color{#FF6800}{ x } }$
$ $ Calculate the integral using partial integration $ $
$\color{#FF6800}{ x } \color{#FF6800}{ e } ^ { \color{#FF6800}{ x } } \color{#FF6800}{ - } \displaystyle\int { \color{#FF6800}{ e } ^ { \color{#FF6800}{ x } } } d { \color{#FF6800}{ x } }$
$x e ^ { x } - \displaystyle\int { \color{#FF6800}{ e } ^ { \color{#FF6800}{ x } } } d { \color{#FF6800}{ x } }$
$ $ Calculate the integral using the formula of $ \int e^{x} dx = e^{x}$
$x e ^ { x } - \color{#FF6800}{ e } ^ { \color{#FF6800}{ x } }$
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