Question: (a) Show that the integral 1 x-1 ln x dx does not converge. (b) Show that if a > 1, then 1 x-a ln x

(a) Show that the integral ∫∞1 x-1 ln x dx does not converge.
(b) Show that if a > 1, then ∫∞1 x-a ln x dx = 1/(a - 1)2.

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