Integrate the following w.r.t. $x$
$x^{3}$

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Solution

$y = x^{3}$
Integrating both sides w.r.t. $x$ , we get
$I = \int y d x = \int x^{3} d x = \frac{x^{4}}{4} + c [∵ \int x^{n} d x = \frac{x^{n + 1}}{n + 1} + c]$ .

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