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the function of f(x) = x + sin (x) on the interval [0,b]

i have to find b.
two values of c that are given are (4.6658, 1.6174) that satisfy the mean value theorem on [0,b]

i got b as +/- 3.29 but it has to be an integer so i think that's wrong.
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can someone please help me with this problem?

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