Saturday, 12 September 2015

calculus - improper (double) integral: inti0nftyintixnftyfrac1sqrtt3+1,mathrmdt,mathrmdx

I want to determine if the integral 0x1t3+1dtdx converges.



I know that x1t3+1dt converges for all x0 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 0x1t3+1dtdx.



Could someone point me in the right direction?



Thanks!

No comments:

Post a Comment

real analysis - How to find limhrightarrow0fracsin(ha)h

How to find limh0sin(ha)h without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...