Let f:\mathbb{R}\to\mathbb{R} be given by f(x)=(x-1)(x-2)(x-5).Define F(x)=\int_{0}^{x}f(t)dt,x>0 Then when of the following options is/are correct? [JEE Adv 2019 P2]

F has a local maximum at (0,\infty)

JEE Advanced 2019 Paper 2

Section: Mathematics

Question : 40 of 54

Marks: +1, -0

Let f:ℝ→ℝ be given by f(x)=(x−1)(x−2)(x−5).Define F(x)=

∫

f(t)dt,x>0
Then when of the following options is/are correct?

[JEE Adv 2019 P2]

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