$\cfrac{{{{\left( {\log x} \right)}^2}}}{x}$
$\cfrac{{{{\left( {\log x} \right)}^2}}}{x}$
Official Solution
VVidaara Team
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NCERT & Exemplar
: Let$I = \int {\cfrac{{{{\left( {\log x} \right)}^2}}}{x}dx}$
Put $\log x = t$ $\Rightarrow$ $\cfrac{1}{x}dx = dt$
$\therefore$ $I = \int {{t^2}dt} = \cfrac{{{t^3}}}{3} + C = \cfrac{1}{3}{\left( {\log x} \right)^3} + C$
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