The intercepts on x−axis made by tangents to the curve, $y= \int \limits_0^x |t| dt , x \in R$ which are parallel to the line $y = 2x,$ are equal to

Question

$\begin{array}{1 1} (1) \pm 1 \\ (2) \pm 2 \\ (3) \pm 3 \\ (4) \pm 4 \end {array}$