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Let a function f:R to R be defined as f ...

Let a function `f:R to R` be defined as `f (x) =x+ sin x.` The value of `int _(0) ^(2pi)f ^(-1)(x) dx` will be:

A

`2pi^(2)`

B

`2pi^(2)-2`

C

`2x ^(2) +2`

D

`pi^(2)`

Text Solution

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The correct Answer is:
A
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