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Solving integrals/ 1/ctgX

Integral of 1/ctgX dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 oo            
  /            
 |             
 |      1      
 |  1*------ dx
 |    cot(x)   
 |             
/              
2
$$\int\limits_{2}^{\infty} 1 \cdot \frac{1}{\cot{\left(x \right)}}\, dx$$ 
Integral(1/cot(x), (x, 2, oo))
The answer (Indefinite) [src] 
  /                                                      
 |                      /     2   \      /          2   \
 |     1             log\2*csc (x)/   log\-2 + 2*csc (x)/
 | 1*------ dx = C + -------------- - -------------------
 |   cot(x)                2                   2         
 |                                                       
/
$$-{{\log \left(1-\sin ^2x\right)}\over{2}}$$
Simplify
The answer [src] 
 oo          
  /          
 |           
 |    1      
 |  ------ dx
 |  cot(x)   
 |           
/            
2
$$\int\limits_{2}^{\infty} \frac{1}{\cot{\left(x \right)}}\, dx$$ 
=
= 
 oo          
  /          
 |           
 |    1      
 |  ------ dx
 |  cot(x)   
 |           
/            
2
$$\int\limits_{2}^{\infty} \frac{1}{\cot{\left(x \right)}}\, dx$$
Simplify

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

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