# Calculus with Absolute Values

Calculus Level 3

$f(x)=\dfrac{x}{\left | x^{3} \right |} ,\quad g(x)=f'(x)+1$

The lines of the tangents of $$f(x)$$ and $$g(x)$$ at their negative intersecting point form a triangle of area $$A$$ with the $$y$$-axis. Find the value of integer $$A$$.

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