Evaluate the integral. ∫dx/(x(ln(24x))^5)

Answer 1

∫dx/(x·ln⁵(24x))

= ∫(dx/x)(ln^-5(24x))

u = ln(24x)

du = 24/(24x)dx --> du = dx/x

∫u^-5du

= (-1/4)u^-4 + C

= (-1/4)ln(24x) + C

Hope this helped!