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Let g ^((t)) = int ( -pi //2) ^( pi //2)...

Let `g ^((t)) = int _( -pi //2) ^( pi //2) cos (( pi )/(4) t + f (x)) dx,` where `f (x) = lg _(e) (x + sqrt (x ^(2) +1)), x in R . `Then which one of following is correct ?

A

`g (1) = g (0)`

B

`g (1) + g ( 0=0)`

C

`g (1) + sqrt2 g (0)`

D

`sqrt2 g (1) = g (0)`

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