I have the following integral: $$I=\int_0^\infty\frac{x}{x^5+5}dx$$ I have to use the comparison theorem to tell if it's convergent or divergent.
I have tried using $\frac{x}{x^5}=\frac{1}{x^4}$ as a function to compare I with, but $\int_0^\infty\frac{1}{x^4}dx$ is divergent and bigger than I: therefore I cannot make any conclusion about I. I could use $\frac{1}{x^5+5}$ as a function to compare, but I don't know how to integrate that, and it is only similar to I at $\infty$, not at $0$.
How should I tell if it's convergent or divergent?