Evaluate the following integrals or show that they are divergent:
(a) ∫ 1 ∞ ln x x 4 d x {\displaystyle \int _{1}^{\infty }{\frac {\ln x}{x^{4}}}~dx}
(b) ∫ 0 1 3 ln x x d x {\displaystyle \int _{0}^{1}{\frac {3\ln x}{\sqrt {x}}}~dx}
Solution:
(a)
(b)
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