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(Basically, I'm working through a couple of different models and after some work I'm a bit stuck: http://trond.hjorteland.com/thesis/node21.html

I'm basically trying to integrate equation 3.33 to [tex]t_0[/tex] - without much success. Now, cosmologists will know that [tex]a(t)=(\frac{t}{t_0})^\frac{2}{3}[/tex] which I feel should be substituted, getting rid of the [tex]a^\frac{1}{2}da[/tex]? Any comments on this appreciated.