The current in a coil of self inductance 2.0 H is increasing according to I =2 sin ( t^2) A. The amount of energy spent during the period when…

The current in a coil of self inductance $\displaystyle 2.0$ H is increasing according to $\displaystyle \mathrm{I}=2 \sin \left(\mathrm{t}^2\right) \mathrm{A}$. The amount of energy spent during the period when current changes from $\displaystyle 0$ to $\displaystyle 2$ A is \_\_\_\_ J.