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If `g(x)` is a differentiable function such that `int_(1)^(sinalpha)x^(2)g(x)dx=(sin alpha-1), AA alpha in (0,(pi)/(2))`, then the value of `g((1)/(3))` is equal to

A

4

B

`(4)/(3)`

C

`(sqrt3)/(2)`

D

9

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The correct Answer is:
D
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