Inverse Area

The area bounded by the curve $\color{#456461}{f}(\color{#3D99F6}{x})$ and its inverse function between the ordinates $\color{#3D99F6}{x} = \color{#0C6AC7}{0}$ and $\color{#3D99F6}{x} = \color{#0C6AC7}{2\pi}$ , is

$\large \color{#456461}{f}(\color{#3D99F6}{x}) = \color{#3D99F6}{x} + \color{#69047E}{sin}(\color{#3D99F6}{x})$