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 \(x = f^{-1}(y)\).
by
Arkajyoti Banerjee