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Q.

If f(x)=∫ex2(x−2)(x−3)(x−4)dxthen f increases on

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a

(−∞,2)

b

(2, ∞)

c

(2, 3)

d

(3, ∞)

answer is C.

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Detailed Solution

f′(x)=ex2(x−2)(x−3)(x−4)As ex2>0 for all x∈R,f′(x)>0if (x−2) (x−3) (x−4)>0 i.e., if 24Thus f(x) increases on the interval (2, 3)
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