Math, asked by hanmantrajge1977, 10 months ago

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Answered by Anonymous
2

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Answered by masattarsunnyoyp7ov
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∫ \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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