sorry I dont know how to use latex yet im going to learn now but I need help if you can.

Integral from 0 to infinity of (x^3)/(x^2+1)^2 dx

and

Integral from 0 to 3 of (1)/(x-1)^1/3 dx

I do not think this converges because numerator is degree three and denominator is degree four. It has to be at least 2 apart in degrees. Are you asking to find its value of to tell if it converges or not. Because if you are asking the latter the answer is it does not converge.

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"Democracy has proved only that the best way to gain power
over people is to assure the people that they are ruling
themselves. Once they believe that, they make wonderfully
submissive slaves." - Joseph Sobran

it just says evalute each of the following integrals