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Definite Integration question

2021 · 25 Jul · Shift 2 · Q26

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PYQ Library
JEE Main
Mathematics
Definite Integration
2021 · 25 Jul · Shift 2 · Q26

Definite Integration question

2021 · 25 Jul · Shift 2 · Q26

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

If

f(x) = \left\{ {\begin{matrix} {\int\limits_0^x {\left( {5 + \left| {1 - t} \right|} \right)dt,} } & {x \gt 2} \\ {5x + 1,} & {x \le 2} \\ \end{matrix} } \right.

, then

A
f(x) is not continuous at x = 2
B
f(x) is everywhere differentiable
C
f(x) is continuous but not differentiable at x = 2
D
f(x) is not differentiable at x = 1

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