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Integral of 3/(xcos(ln2x)^2) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
  1                    
  /                    
 |                     
 |         3           
 |  ---------------- dx
 |       2             
 |  x*cos (log(2*x))   
 |                     
/                      
0                      
$$\int\limits_{0}^{1} \frac{3}{x \cos^{2}{\left(\log{\left(2 x \right)} \right)}}\, dx$$
Integral(3/((x*cos(log(2*x))^2)), (x, 0, 1))
The answer (Indefinite) [src]
  /                              /                          
 |                              |                           
 |        3                     |            1              
 | ---------------- dx = C + 3* | ----------------------- dx
 |      2                       |      2                    
 | x*cos (log(2*x))             | x*cos (log(2) + log(x))   
 |                              |                           
/                              /                            
$$\int \frac{3}{x \cos^{2}{\left(\log{\left(2 x \right)} \right)}}\, dx = C + 3 \int \frac{1}{x \cos^{2}{\left(\log{\left(x \right)} + \log{\left(2 \right)} \right)}}\, dx$$
Numerical answer [src]
489068.085009973
489068.085009973

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