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Solving integrals/ 1/xlnlnx

Integral of 1/xlnlnx dA

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  2               
 e                
  /               
 |                
 |  log(log(x))   
 |  ----------- da
 |       x        
 |                
/                 
a
∫ae2log⁡(log⁡(x))x da\int\limits_{a}^{e^{2}} \frac{\log{\left(\log{\left(x \right)} \right)}}{x}\, da 
Integral(log(log(x))/x, (a, a, exp(2)))
Detail solution

  1. The integral of a constant is the constant times the variable of integration:

    ∫log⁡(log⁡(x))x da=alog⁡(log⁡(x))x\int \frac{\log{\left(\log{\left(x \right)} \right)}}{x}\, da = \frac{a \log{\left(\log{\left(x \right)} \right)}}{x}

  2. Add the constant of integration:

    alog⁡(log⁡(x))x+constant\frac{a \log{\left(\log{\left(x \right)} \right)}}{x}+ \mathrm{constant}

The answer is:

alog⁡(log⁡(x))x+constant\frac{a \log{\left(\log{\left(x \right)} \right)}}{x}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                                  
 |                                   
 | log(log(x))          a*log(log(x))
 | ----------- da = C + -------------
 |      x                     x      
 |                                   
/
∫log⁡(log⁡(x))x da=C+alog⁡(log⁡(x))x\int \frac{\log{\left(\log{\left(x \right)} \right)}}{x}\, da = C + \frac{a \log{\left(\log{\left(x \right)} \right)}}{x}
Simplify
The answer [src] 
 2                            
e *log(log(x))   a*log(log(x))
-------------- - -------------
      x                x
−alog⁡(log⁡(x))x+e2log⁡(log⁡(x))x- \frac{a \log{\left(\log{\left(x \right)} \right)}}{x} + \frac{e^{2} \log{\left(\log{\left(x \right)} \right)}}{x} 
=
= 
 2                            
e *log(log(x))   a*log(log(x))
-------------- - -------------
      x                x
−alog⁡(log⁡(x))x+e2log⁡(log⁡(x))x- \frac{a \log{\left(\log{\left(x \right)} \right)}}{x} + \frac{e^{2} \log{\left(\log{\left(x \right)} \right)}}{x} 
exp(2)*log(log(x))/x - a*log(log(x))/x

    Use the examples entering the upper and lower limits of integration.

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