Cant understand this transition

417
0
http://i47.tinypic.com/2lj3uvl.jpg

how did they erased the derivative of I object

how did they change the variable?
 
316
2
Substitute P=Li.di/dt in the equation.. dt cancels out
 
417
0
why they change t to I
on the interval
?
 
316
2
why they change t to I
on the interval
?
Because now we are integrating with respect to i as it goes from 0 to I. First, we were integrating with respect to t which was going from 0 to t. It means that as t goes from 0 to t, i goes from 0 to I and that i is dependent on t.

i(t=0) = 0
i(t=t) = I
 

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