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Solving integrals/ 1/(tan(x)-1)

Integral of 1/(tan(x)-1) dx

Limits of integration:

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v

The graph:

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Piecewise:

The solution

You have entered [src] 
  1              
  /              
 |               
 |      1        
 |  ---------- dx
 |  tan(x) - 1   
 |               
/                
0
$$\int\limits_{0}^{1} \frac{1}{\tan{\left(x \right)} - 1}\, dx$$ 
Integral(1/(tan(x) - 1), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                           
 |                                               /       2   \
 |     1               log(-1 + tan(x))   x   log\1 + tan (x)/
 | ---------- dx = C + ---------------- - - - ----------------
 | tan(x) - 1                 2           2          4        
 |                                                            
/
$$\int \frac{1}{\tan{\left(x \right)} - 1}\, dx = C - \frac{x}{2} + \frac{\log{\left(\tan{\left(x \right)} - 1 \right)}}{2} - \frac{\log{\left(\tan^{2}{\left(x \right)} + 1 \right)}}{4}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
nan
$$\text{NaN}$$ 
=
= 
nan
$$\text{NaN}$$ 
nan
Numerical answer [src] 
0.299491632495798
0.299491632495798

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

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