I want to determine if the integral ∫∞0∫∞x1√t3+1dtdx converges.
I know that ∫∞x1√t3+1dt converges for all x≥0 and can show this by the comparison theorem. I just am not sure how to use this fact to justify the convergence or divergence of ∫∞0∫∞x1√t3+1dtdx.
Could someone point me in the right direction?
Thanks!
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