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Compute the value of the following improper integral ∫(5(ln(x)))/x^(8)dx, from 1 to infinity = Does the series ∑ (5(ln(n)))/(n^(8))dx, from n=1 to infinity converge or diverge? Hint: Use...

I got all the way through this problem and the answer seemed legitimate, but I did not get the correct answer. Thank you in advance for any help. I really appreciate it.   Find the volume...

Find the improper integral of te^-st dt from 0 to b where the limit of b approaches to positive infinity.

please i need a formal proof of comparison test for improper integrals..

How do I integrate 4x^2/(x^3-8) from 0 to 8 It is an improper integral and I know it diverges but I don't know why  i found u=x^3-8 but am getting stuck after that  ...

I have this problem:  Evaluate the integral (x^2-2)/(x^4+3) from 1 to infinity using a comparison test (evaluate if converging).  I understand the basic idea is to find a function with...