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If $f (x) = \int e^{x^{2}} (x - 2) (x - 3) (x - 4) d x$
then $f$ increases on

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(−∞,2)

(2, ∞)

(2, 3)

(3, ∞)

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detailed solution

Correct option is C

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

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Ready to Test Your Skills?

free study material

If $f (x) = \int e^{x^{2}} (x - 2) (x - 3) (x - 4) d x$
then $f$ increases on