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1/(1-cos(x))

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

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  1              
  /              
 |               
 |      1        
 |  ---------- dx
 |  1 - cos(x)   
 |               
/                
0                
$$\int\limits_{0}^{1} \frac{1}{1 - \cos{\left(x \right)}}\, dx$$
Integral(1/(1 - cos(x)), (x, 0, 1))
Detail solution
  1. Rewrite the integrand:

  2. The integral of a constant times a function is the constant times the integral of the function:

    1. Don't know the steps in finding this integral.

      But the integral is

    So, the result is:

  3. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                          
 |                           
 |     1                 1   
 | ---------- dx = C - ------
 | 1 - cos(x)             /x\
 |                     tan|-|
/                         \2/
$$\int \frac{1}{1 - \cos{\left(x \right)}}\, dx = C - \frac{1}{\tan{\left(\frac{x}{2} \right)}}$$
The graph
The answer [src]
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The graph
Integral of 1/(1-cos(x)) dx

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