Evalute : |x| d x if x<0 - Vidyadip

Question

Evalute : $\int|x| d x$ if $x<0$

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Answer

$
\begin{aligned}
& \int|x| d x=\int-x d x \ldots .[\because x<0] \\
& =-\int x d x \\
& =-\frac{x^2}{2}+c
\end{aligned}
$

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