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Integral of tan(x)/(3+cos^2(x)) dx

Limits of integration:

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The solution

You have entered [src]
  1               
  /               
 |                
 |     tan(x)     
 |  ----------- dx
 |         2      
 |  3 + cos (x)   
 |                
/                 
0                 
01tan(x)cos2(x)+3dx\int\limits_{0}^{1} \frac{\tan{\left(x \right)}}{\cos^{2}{\left(x \right)} + 3}\, dx
Integral(tan(x)/(3 + cos(x)^2), (x, 0, 1))
The answer (Indefinite) [src]
  /                       /              
 |                       |               
 |    tan(x)             |    tan(x)     
 | ----------- dx = C +  | ----------- dx
 |        2              |        2      
 | 3 + cos (x)           | 3 + cos (x)   
 |                       |               
/                       /                
log(sin2x4)6log(sin2x1)6{{\log \left(\sin ^2x-4\right)}\over{6}}-{{\log \left(\sin ^2x-1 \right)}\over{6}}
The answer [src]
  1               
  /               
 |                
 |     tan(x)     
 |  ----------- dx
 |         2      
 |  3 + cos (x)   
 |                
/                 
0                 
log(4sin21)6log(1sin21)6log46{{\log \left(4-\sin ^21\right)}\over{6}}-{{\log \left(1-\sin ^21 \right)}\over{6}}-{{\log 4}\over{6}}
=
=
  1               
  /               
 |                
 |     tan(x)     
 |  ----------- dx
 |         2      
 |  3 + cos (x)   
 |                
/                 
0                 
01tan(x)cos2(x)+3dx\int\limits_{0}^{1} \frac{\tan{\left(x \right)}}{\cos^{2}{\left(x \right)} + 3}\, dx
Numerical answer [src]
0.172738593365176
0.172738593365176

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