JEE Math Practice Question

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

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