Thanks, I figured it was something like that. So then my question becomes this. I see how the derivative can easily become this:
5\int e^{(t - 5)x} dx
by factoring the 5 out and combining the two.
But my question then becomes, how can it be represented as (t-5) when the answer in front of me...
I solved this problem a couple months ago, but seem to have forgotten some rules of calculus with regards to e in the meantime. The goal is to just solve this integral. Integral from 0 to +inf of (e^tx) times (5e^-5x) dx
Now - in my work I got the answer of 5/5-t, which is correct.
In the key...