The angular momentum and torque of a particle are related to each other as :
\(\vec{\tau}=\frac{d \vec{J}}{d t}\)
If \(\vec{\tau}=\left(t \hat{i}+t^{2} \hat{j}+t^{3} \hat{k}\right)\) and at instant t = 0, \(\vec{J}=(3 \hat{i}+4 \hat{j}+7 \hat{k})\), then represent \(\vec{\jmath}\) as a function of time.
