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cos(x)/(sin²(x)+1)

Integral of cos(x)/(sin²(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
 |     2          
 |  sin (x) + 1   
 |                
/                 
0                 
$$\int\limits_{0}^{1} \frac{\cos{\left(x \right)}}{\sin^{2}{\left(x \right)} + 1}\, dx$$
Integral(cos(x)/(sin(x)^2 + 1), (x, 0, 1))
The answer (Indefinite) [src]
  /                                 
 |                                  
 |    cos(x)                        
 | ----------- dx = C + atan(sin(x))
 |    2                             
 | sin (x) + 1                      
 |                                  
/                                   
$$\int \frac{\cos{\left(x \right)}}{\sin^{2}{\left(x \right)} + 1}\, dx = C + \operatorname{atan}{\left(\sin{\left(x \right)} \right)}$$
The graph
The answer [src]
atan(sin(1))
$$\operatorname{atan}{\left(\sin{\left(1 \right)} \right)}$$
=
=
atan(sin(1))
$$\operatorname{atan}{\left(\sin{\left(1 \right)} \right)}$$
atan(sin(1))
Numerical answer [src]
0.69952164434852
0.69952164434852
The graph
Integral of cos(x)/(sin²(x)+1) dx

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