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cos(x)/(cos(x)+1)

Integral of cos(x)/(cos(x)+1) 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
 |  cos(x) + 1   
 |               
/                
0                
$$\int\limits_{0}^{1} \frac{\cos{\left(x \right)}}{\cos{\left(x \right)} + 1}\, dx$$
Integral(cos(x)/(cos(x) + 1), (x, 0, 1))
The answer (Indefinite) [src]
  /                              
 |                               
 |   cos(x)                   /x\
 | ---------- dx = C + x - tan|-|
 | cos(x) + 1                 \2/
 |                               
/                                
$$\int \frac{\cos{\left(x \right)}}{\cos{\left(x \right)} + 1}\, dx = C + x - \tan{\left(\frac{x}{2} \right)}$$
The graph
The answer [src]
1 - tan(1/2)
$$1 - \tan{\left(\frac{1}{2} \right)}$$
=
=
1 - tan(1/2)
$$1 - \tan{\left(\frac{1}{2} \right)}$$
1 - tan(1/2)
Numerical answer [src]
0.453697510156209
0.453697510156209
The graph
Integral of cos(x)/(cos(x)+1) dx

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