If f(x) = {∫₀ˣ(5 + |1 − t|) dt, x > 2... | Definite Integral

JEE MAIN 2021

25-07-2021 S2

Question

If $f(x)=\left\{\begin{array}{cc}\int_0^x(5+|1-t|) d t, & x>2 \\ 5 x+1, & x \leq 2\end{array}\right.$, then

Select the correct option:

f(x) is not continuous at x = 2

f(x) is everywhere differentiable

f(x) is continuous but not differentiable at x = 2

f(x) is not differentiable at x = 1

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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