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cos(x)/sin(x)

Integral of cos(x)/sin(x) dx

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

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

    Then let and substitute :

    1. The integral of is .

    Now substitute back in:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                           
 |                            
 | cos(x)                     
 | ------ dx = C + log(sin(x))
 | sin(x)                     
 |                            
/                             
$$\int \frac{\cos{\left(x \right)}}{\sin{\left(x \right)}}\, dx = C + \log{\left(\sin{\left(x \right)} \right)}$$
The graph
The answer [src]
oo
$$\infty$$
=
=
oo
$$\infty$$
oo
Numerical answer [src]
43.9178423877238
43.9178423877238
The graph
Integral of cos(x)/sin(x) dx

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