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Let f and g be two differentiable functi...

Let f and g be two differentiable functins such that:
`f (x)=g '(1) sin x+ (g'' (2) -1) x`
`g (x) = x^(2) -f'((pi)/(2)) x+ f'(-(pi)/(2))`
If `int(g (cos x))/( f (x)-x)dx = cos x + ln (h (x))+C` where C is constant and `h((pi)/(2)) =1` then `|h ((2pi)/(3))|` is:

A

`3 sqrt2`

B

`2sqrt3`

C

`sqrt3`

D

`(1)/(sqrt3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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