How Do You Calculate Energy Delivered to an Inductor Over Time?

[sinned4789]

Homework Statement

the current through an element is i = 2t^2 - 1 Amps. if that element is a 4H inductor, what is the energy delivered to it from time t=1 to t=3.

Homework Equations

energy in an inductor is dw = Li di

The Attempt at a Solution

i = 2t^2 - 1
di = 4t dt
w = L integral[ (2t^2 - 1)(4t) dt ] from 1 to 3 seconds

i just want to confirm it with someone if i did it right or not. i felt like i did. thanks.

 

[ideasrule]

yeah, that's right