JEE Main 2021 — Definite Integration Question with Solution
From: JEE Main 2021 (Online) 25th July Evening Shift
Question
If f(x) = \left\{ {\matrix{
{\int\limits_0^x {\left( {5 + \left| {1 - t} \right|} \right)dt,} } & {x > 2} \cr
{5x + 1,} & {x \le 2} \cr
} } \right., then
Choose an option
Show full solutionCorrect option: C
Correct answer
Cf(x) is continuous but not differentiable at x = 2
Step-by-step explanation
continuous at x = 2
Clearly differentiable at x = 1
Lf' (2) = 5
Rf' (2) = 6
Not differentiable at x = 2
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