Let f(x)=1(1-x)^(2) sin^(2)x + x^(2) for all x in IR, and let g(x)={:(x),(int),(1):} ((2(t-1))/(t+1)- ln t) f(t)dt for all x in (1,oo)Which of the folloiwng is true ?

Let f(x)=1(1-x)^(2) sin^(2)x + x^(2) for all x in IR, and let g(x)={:(

1.	Let f(x)=1(1-x)^(2) sin^(2)x + x^(2) for all x in IR, and let g(x)={:(x),(int),(1):} ((2(t-1))/(t+1)- ln t) f(t)dt for all x in (1,oo)Which of the folloiwng is true ?
Answer» G is INCREASING on `(1, OO)` g is DECREASING on`(1, oo)` g is increasing on (1, 2) and decreasing on`(2, oo)` g is decreasing on (1, 2) and increasingon`(2, oo)` ANSWER :B

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Let f(x)=1(1-x)^(2) sin^(2)x + x^(2) for all x in IR, and let g(x)={:(x),(int),(1):} ((2(t-1))/(t+1)- ln t) f(t)dt for all x in (1,oo)Which of the folloiwng is true ?

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