Inversion Game Real Strong

Calculus Level 5

A function ff is defined as f(x)=sinx+2xf(x) = \sin x + 2x.

Evaluate 2+sin(1)4+sin(2)f1(x) dx\large \displaystyle \int _{2+\sin \left(1\right)}^{4+\sin \left(2\right)}f^{-1}(x) \ dx correct to 3 decimal places.


Clarifications: f1(x)f^{-1}(x) denotes the inverse of f(x)f(x), i.e. if y=f(x)y = f(x), then x=f1(y)x = f^{-1}(y).

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