Quote:
Originally Posted by cheesehead
The variable is inside the integral. The variable is outside the integral.
Let
.
The claim is that
varies as 1.5x/log x.

[mathematical gibberish deleted]
If "varies" means "is asymptotic to", then the claim is wrong.
int 1/log^3 t dt = t/(2 log t)  t/(2 log^2 t) + li(t)/2. := g(t)
Now evaluate g(x^1/3)  g(2).