Question

∫raiz 1+ ln(x) /x dx

Answer 1

$\int\dfrac{ \sqrt{1 +lnx}}{x}\, dx \\ \\ 1 + lnx = u \Rightarrow du = \dfrac{1}{x} \\ \\ \int { \sqrt{u}}\, du = \dfrac{2}{3} {u}^\frac{3}{2}+C <span>\Leftrightarrow </span>\dfrac{2}{3}(1+lnx)^\frac{3}{2} +C$

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Obrigado pela oportunidade. 
Boa sorte, bons estudos.
Sepauto - SSRC - 2015 
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