Inverse Area with definite integration.!

Calculus Level 4

If f:RRf: \mathbb {R \to R}, f(x)=x+sinxf(x)=x+\sin x, then find the value of

0πf1(x) dx\large \int_{0}^{\pi} f^{-1}(x) \ dx

Note : f1(x)f^{-1}(x) denotes the inverse function of f(x)f(x).

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