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If f(x) = underset(0)overset(x)inte^(t^...

If `f(x) = underset(0)overset(x)inte^(t^(2)) (t-2) (t-3) dt` for all `x in (0, oo)` , then

A

f has a local maximum at x = 2

B

f is decreasing on (2, 3)

C

there exists some `c in (0 , oo)` such that f'(c) = 0

D

f has a local minimum at x = 3

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The correct Answer is:
A, B, C, D
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