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Let f (x)= int (x^(2))^(x ^(3))(dt)/(ln...

Let `f (x)= int _(x^(2))^(x ^(3))(dt)/(ln t) ` for `x gt 1 and g (x) = int _(1) ^(x) (2t ^(2) -lnt ) f(t) dt(x gt 1),` then: (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 decreasing on `(1,2)` and increasing on `(2,oo)`

A

g is increasing on `(l, oo)`

B

g is decreasing on `(l, oo)`

C

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

D

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

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The correct Answer is:
B
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