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Let f(x)=(1-x)^2sin^2x+x^2 for all xinR ...

Let `f(x)=(1-x)^2sin^2x+x^2` for all `xinR` and let `g(x)=int_1^x((2(t-1))/(t+1)-Int)`f(t)dt for all `xin(1,oo)`
Which of the following is true ?

A

g is increasing on `(1,oo)`

B

g is decreasing on `(1,oo)`

C

g is increasing on (1, 2) and decreasing on `(2,oo)`

D

g is increasing on (1, 2) and decreasing on `(2,oo)`

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The correct Answer is:
B
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