# Inversion Game Real Strong

Calculus Level 5

A function $$f$$ is defined as $$f(x) = \sin x + 2x$$.

Evaluate $$\large \displaystyle \int _{2+\sin \left(1\right)}^{4+\sin \left(2\right)}f^{-1}(x) \ dx$$ correct to 3 decimal places.

Clarifications: $$f^{-1}(x)$$ denotes the inverse of $$f(x)$$, i.e. if $$y = f(x)$$, then $$x = f^{-1}(y)$$.

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