Let \( f(x)=\left\{\begin{array}{cc}2 x, & 0 \leq x \leq 1 \\ 2, & 1 \leq x \leq 3 \\ 8-2 x, & 3... VIDEO
Let \( f(x)=\left\{\begin{array}{cc}2 x, & 0 \leq x \leq 1 \\ 2, & 1 \leq x \leq 3 \\ 8-2 x, & 3x \leq 4\end{array}\right. \) If the area of region bounded by the curve \( |y+1|=f(x+4) \) is \( S \) then find the value of \( \left(\frac{S}{3}\right) \).
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