# Inverse Area

Calculus Level 3

The area bounded by the curve $$\color{darkgreen}{f}(\color{blue}{x})$$ and its inverse function between the ordinates $$\color{blue}{x} = \color{darkblue}{0}$$ and $$\color{blue}{x} = \color{darkblue}{2\pi}$$, is

$\large \color{darkgreen}{f}(\color{blue}{x}) = \color{blue}{x} + \color{purple}{sin}(\color{blue}{x})$

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