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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

f(x) is an increasing function

B

f(x) has a minima at x = 1

C

f(x) is a decreasing function

D

f(x) has a maxima at x = 1

Text Solution

Verified by Experts

The correct Answer is:
A
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