# A calculus problem by Dharani Chinta

Calculus Level 4

Let $$y=g(x)$$ be the image of $$f(x)=x+\sin x$$ about the line $$x+y=0$$.

If the area bounded by $$y=g(x)$$, $$x$$-axis, $$x=0$$ and $$x=2 \pi$$ is $$A$$, find $$\lfloor A \rfloor$$.

Notation: $$\lfloor \cdot \rfloor$$ denotes the floor function.

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