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Integral of tan(x)/sqrt(cos(x)) dx

Limits of integration:

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Piecewise:

The solution

You have entered [src]
  1              
  /              
 |               
 |    tan(x)     
 |  ---------- dx
 |    ________   
 |  \/ cos(x)    
 |               
/                
0                
$$\int\limits_{0}^{1} \frac{\tan{\left(x \right)}}{\sqrt{\cos{\left(x \right)}}}\, dx$$
Integral(tan(x)/sqrt(cos(x)), (x, 0, 1))
The answer (Indefinite) [src]
  /                      /             
 |                      |              
 |   tan(x)             |   tan(x)     
 | ---------- dx = C +  | ---------- dx
 |   ________           |   ________   
 | \/ cos(x)            | \/ cos(x)    
 |                      |              
/                      /               
$$\int \frac{\tan{\left(x \right)}}{\sqrt{\cos{\left(x \right)}}}\, dx = C + \int \frac{\tan{\left(x \right)}}{\sqrt{\cos{\left(x \right)}}}\, dx$$
The answer [src]
  1              
  /              
 |               
 |    tan(x)     
 |  ---------- dx
 |    ________   
 |  \/ cos(x)    
 |               
/                
0                
$$\int\limits_{0}^{1} \frac{\tan{\left(x \right)}}{\sqrt{\cos{\left(x \right)}}}\, dx$$
=
=
  1              
  /              
 |               
 |    tan(x)     
 |  ---------- dx
 |    ________   
 |  \/ cos(x)    
 |               
/                
0                
$$\int\limits_{0}^{1} \frac{\tan{\left(x \right)}}{\sqrt{\cos{\left(x \right)}}}\, dx$$
Integral(tan(x)/sqrt(cos(x)), (x, 0, 1))
Numerical answer [src]
0.720893763218936
0.720893763218936

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