The function f(x) = int1^(x) [2(t-1)(t-2...

The function `f(x) = int_1^(x) [2(t-1)(t-2)^(3)+3(t-1)^(2)(t-2)^(2)] dt` attains its maximum at x =

A

maximum when `x=(7)/(5)` and minimum when x=1

B

maximum when x=1 and minimum when x=0

C

maximum when x=1 and minimum when x=2

D

maximum when x=1 and minimum when `x=(7)/(5)`

Verified by Experts

The correct Answer is:

D

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