Question

I've been trying to solve the improper integral of

ln(x)/sqrt(x) dx as a=1 and b=infinity

I am required to solve for this question and according to my answer, it is divergent. However, my answer is infinity-4. Is it acceptable to say that infinity minus a number is simply infinity? I just want to make sure whether I'm doing this right or not.

Answer 1

let u=sqrtx
du=1/2sqrtx dx
or dx=2sqrtx du=2u du

yes, inf-constant=inf or divergent

Answer 2

Thank you!