Why Does an Inductor Store Energy After No Current?

[fight_club_alum]

I calculated all the required in this problem correctly but can't understand why the sum of energy extracted and absorbed is not zero.
They are:
>0: 0J
0 <=E<=25: 4t^2 J
25 <= E <= 50: 4t^2 - 0.4t + 10 * 10^-3t J
E > 50: 0 J

Does that mean that an inductor stores energy even after there is no current?
Thanks

[Moderator's note: Moved from a technical forum and thus no template.]

 

[NascentOxygen]

25 <= E <= 50: 4t^2 - 0.4t + 10 * 10^-3t J

Check your working.

The energy stored in an inductor depends only on the present instantaneous value of its current. So when current = 0, no energy is stored.