Let `f(x) = (1-x)^(2) sin^(2)x+ x^(2)` for all `x in IR` and let `g(x) = int_(1)^(x)((2(t-1))/(t+1)-lnt) f(t)` dt for all `x in (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)`

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

1.	Let `f(x) = (1-x)^(2) sin^(2)x+ x^(2)` for all `x in IR` and let `g(x) = int_(1)^(x)((2(t-1))/(t+1)-lnt) f(t)` dt for all `x in (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)`
Answer» Correct Answer - B

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`lim_(nrarroo) sum_(r=0)^(n-1) (1)/(sqrt(n^(2)-r^(2)))`
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