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Solving integrals/ ctgx/(ln*sinx)

Integral of ctgx/(ln*sinx) dx

Limits of integration:

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Piecewise:

The solution

You have entered [src] 
 pi                 
 --                 
 8                  
  /                 
 |                  
 |      cot(x)      
 |  ------------- dx
 |  log(x)*sin(x)   
 |                  
/                   
pi                  
--                  
3
$$\int\limits_{\frac{\pi}{3}}^{\frac{\pi}{8}} \frac{\cot{\left(x \right)}}{\log{\left(x \right)} \sin{\left(x \right)}}\, dx$$ 
Integral(cot(x)/((log(x)*sin(x))), (x, pi/3, pi/8))
The answer (Indefinite) [src] 
  /                         /                
 |                         |                 
 |     cot(x)              |     cot(x)      
 | ------------- dx = C +  | ------------- dx
 | log(x)*sin(x)           | log(x)*sin(x)   
 |                         |                 
/                         /
$$\int \frac{\cot{\left(x \right)}}{\log{\left(x \right)} \sin{\left(x \right)}}\, dx = C + \int \frac{\cot{\left(x \right)}}{\log{\left(x \right)} \sin{\left(x \right)}}\, dx$$
Simplify
Numerical answer [src] 
3.45592652483538
3.45592652483538

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

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