Does anyone know of helpful tests that can help me determine whether an improper integral converges or diverges? Specifically ones where you don't have to solve the integral?(adsbygoogle = window.adsbygoogle || []).push({});

For example, the problem I'm solving has a very complicated solution to the integral:

the problem: integrate dx/(sqrt(x+x^3)) from 0 to [tex]\infty[/tex].

I have tried integrating, and ended up using Maple, only to get a very complicated answer.

But I only need to prove whether it converges or diverges. That's it.

Any ideas?

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# Integration: Convergence/Divergence Tests

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