Home Maths Indefinite Integral JEE (Advanced) / IIT - JEE Problems ( Previous Year ) Let f (x) = e x (x − 1) (x − 2) d x then f …
Maths Indefinite Integral JEE (Advanced) / IIT - JEE Problems ( Previous Year ) Single Correct MCQ
Published on: August 13, 2026

Let f (x) = e x (x − 1) (x − 2) d x then f decreases in the interval:

A
( − ∞ , 2)
B
( − 2, − 1) (C ) (1, 2)
D
(2, + ∞ )

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Text Solution

Verified by Experts
The correct answer is:
C

 f(x) =

⇒ f ′ (x) = e x (x – 1)(x – 2) ≤ 0 1 ≤ x ≤ 2

⇒ x ∈ [1, 2]

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