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Formula
Calculate the integral
$\int{ x ^{ 2 } }d{ x }$
$\dfrac { 1 } { 3 } x ^ { 3 } + C$
Calculate the indefinite integral.
$\displaystyle\int { \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } } d { \color{#FF6800}{ x } }$
 Calculate the integral using the formula of $\int{x^{n}}dx = \frac{x^{n+1}}{n+1}$
$\color{#FF6800}{ \dfrac { 1 } { 2 + 1 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$\dfrac { 1 } { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } } x ^ { 2 + 1 }$
 Add $2$ and $1$
$\dfrac { 1 } { \color{#FF6800}{ 3 } } x ^ { 2 + 1 }$
$\dfrac { 1 } { 3 } x ^ { \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
 Add $2$ and $1$
$\dfrac { 1 } { 3 } x ^ { \color{#FF6800}{ 3 } }$
$\color{#FF6800}{ \dfrac { 1 } { 3 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } }$
 Add the integral constant $C$ . 
$\color{#FF6800}{ \dfrac { 1 } { 3 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ C }$
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