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Solving integrals/ ctg(x)/logsin(x)

Integral of ctg(x)/logsin(x) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1               
  /               
 |                
 |     cot(x)     
 |  ----------- dx
 |  log(sin(x))   
 |                
/                 
0
∫01cot⁡(x)log⁡(sin⁡(x)) dx\int\limits_{0}^{1} \frac{\cot{\left(x \right)}}{\log{\left(\sin{\left(x \right)} \right)}}\, dx 
Integral(cot(x)/log(sin(x)), (x, 0, 1))
The answer (Indefinite) [src] 
  /                       /              
 |                       |               
 |    cot(x)             |    cot(x)     
 | ----------- dx = C +  | ----------- dx
 | log(sin(x))           | log(sin(x))   
 |                       |               
/                       /
∫cot⁡(x)log⁡(sin⁡(x)) dx=C+∫cot⁡(x)log⁡(sin⁡(x)) dx\int \frac{\cot{\left(x \right)}}{\log{\left(\sin{\left(x \right)} \right)}}\, dx = C + \int \frac{\cot{\left(x \right)}}{\log{\left(\sin{\left(x \right)} \right)}}\, dx
Simplify
The answer [src] 
  1               
  /               
 |                
 |     cot(x)     
 |  ----------- dx
 |  log(sin(x))   
 |                
/                 
0
∫01cot⁡(x)log⁡(sin⁡(x)) dx\int\limits_{0}^{1} \frac{\cot{\left(x \right)}}{\log{\left(\sin{\left(x \right)} \right)}}\, dx 
=
= 
  1               
  /               
 |                
 |     cot(x)     
 |  ----------- dx
 |  log(sin(x))   
 |                
/                 
0
∫01cot⁡(x)log⁡(sin⁡(x)) dx\int\limits_{0}^{1} \frac{\cot{\left(x \right)}}{\log{\left(\sin{\left(x \right)} \right)}}\, dx 
Integral(cot(x)/log(sin(x)), (x, 0, 1))
Numerical answer [src] 
-5.54301012933614
-5.54301012933614

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

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