Find the value of $k$ such that \(\displaystyle\displaystyle \displaystyle\int_{-c}^{0}{\left

Question

Find the value of $k$ such that $\displaystyle\displaystyle \displaystyle\int_{-c}^{0}{\left| x-c \right|}\mathrm{d}x=k\displaystyle\displaystyle \displaystyle\int_{0}^{2c}{\left| x-c \right|}\mathrm{d}x$, where $c$ is a positive constant.[4]

Accepted Answer

$k=\dfrac32$

2013 CJC P1 Q2

2013 CJC P1 Q2

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