How about comparing 1/(u^1/4) with 1/(u^1/3)
(where u = x^4 + x + 1
I don't think that I can evaluate the integral easily, so I'm looking for a comparative function. If I say that:
then I can also say that
The problem is that
which doesn't help me in determining the value of the original integral.
Can anybody see what I am doing wrong or recommend another function to use as a comparison?
Thanks, but I don't see how this solves the problem. Changing the exponent from 1/3 to 1/4 still leaves me with an integral that I can't evaluate easily, and doesn't give me a function that I can show goes to infinity or to a finite number. What am I missing?