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pallavi pradeep bhardwaj Grade: 12
        

 Let f(x)= ∫ex (x-1)(x-2) dx. Then f decreases in the interval :

(A) (∞,-2)                                          (B) (–2, –1)
(C) (1, 2)                                          (D) (2,+∞)

7 years ago

Answers : (1)

askiitian.expert- chandra sekhar
10 Points
										

Hi pallavi,


f(x)= ∫ex (x-1)(x-2) dx


f1(x)=df(x)/dx =ex (x-1)(x-2) + C


ex > 0


(x-1)(x-2) ≥0 when x≤1 and x≥2


(x-1)(x-2) < 0 when 1<x<2


therefore      ex (x-1)(x-2) < 0 when 1<x<2


f1(x) < 0 when 1<x<2


f decreases in the interval (1,2)

7 years ago
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