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Solving integrals/ tanx/(3+cos^2x)

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

Limits of integration:

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Piecewise:

The solution

You have entered [src] 
  1               
  /               
 |                
 |     tan(x)     
 |  ----------- dx
 |         2      
 |  3 + cos (x)   
 |                
/                 
0
∫01tan⁡(x)cos⁡2(x)+3 dx\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)   
 |                       |               
/                       /
∫tan⁡(x)cos⁡2(x)+3 dx=C+∫tan⁡(x)cos⁡2(x)+3 dx\int \frac{\tan{\left(x \right)}}{\cos^{2}{\left(x \right)} + 3}\, dx = C + \int \frac{\tan{\left(x \right)}}{\cos^{2}{\left(x \right)} + 3}\, dx
Simplify
The answer [src] 
  1               
  /               
 |                
 |     tan(x)     
 |  ----------- dx
 |         2      
 |  3 + cos (x)   
 |                
/                 
0
∫01tan⁡(x)cos⁡2(x)+3 dx\int\limits_{0}^{1} \frac{\tan{\left(x \right)}}{\cos^{2}{\left(x \right)} + 3}\, dx 
=
= 
  1               
  /               
 |                
 |     tan(x)     
 |  ----------- dx
 |         2      
 |  3 + cos (x)   
 |                
/                 
0
∫01tan⁡(x)cos⁡2(x)+3 dx\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))
Numerical answer [src] 
0.172738593365176
0.172738593365176

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

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