Question

give answer of this question plz​

Answer 1

Answer:

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Answer 2

$∫ \frac{log( log(x) )}{x \: log(x) } dx$

$let \: \: log( log(x) ) = t$

$\frac{dt}{dx} = \frac{1}{log \: x} \times \frac{1}{x}$

$dx = dt \times x \: log(x)$

$now \: ∫ \frac{log( log(x) )}{x \: log(x) } dx$

$= ∫ \frac{t}{x \: log(x) } dt \: x log(x)$

$= ∫ t \: dt$

$= \frac{ {t}^{2} }{2} \: \times c$

$= \frac{( { log( logx ) )}^{2} }{2} \: \times c$

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