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If f:RrarrR defined by f(x)=sinx+x, then...

If `f:RrarrR` defined by `f(x)=sinx+x`, then find the value of `int_0^pi(f^-1(x))dx`

A

`(pi^(2))/(2)-2`

B

`pi^(2)`

C

`(pi^(2))/(2)+2`

D

`(pi^(2))/(2)`

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