Mister Exam

Other calculators

Solving integrals/ √tgx/cos^2x

Integral of √tgx/cos^2x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1              
  /              
 |               
 |    ________   
 |  \/ tan(x)    
 |  ---------- dx
 |      2        
 |   cos (x)     
 |               
/                
0
$$\int\limits_{0}^{1} \frac{\sqrt{\tan{\left(x \right)}}}{\cos^{2}{\left(x \right)}}\, dx$$ 
Integral(sqrt(tan(x))/(cos(x)^2), (x, 0, 1))
The answer (Indefinite) [src] 
  /                      /             
 |                      |              
 |   ________           |   ________   
 | \/ tan(x)            | \/ tan(x)    
 | ---------- dx = C +  | ---------- dx
 |     2                |     2        
 |  cos (x)             |  cos (x)     
 |                      |              
/                      /
$${{2\,\left(\tan x\right)^{{{3}\over{2}}}}\over{3}}$$
Simplify
The answer [src] 
  1              
  /              
 |               
 |    ________   
 |  \/ tan(x)    
 |  ---------- dx
 |      2        
 |   cos (x)     
 |               
/                
0
$${{2\,\left(\tan 1\right)^{{{3}\over{2}}}}\over{3}}$$ 
=
= 
  1              
  /              
 |               
 |    ________   
 |  \/ tan(x)    
 |  ---------- dx
 |      2        
 |   cos (x)     
 |               
/                
0
$$\int\limits_{0}^{1} \frac{\sqrt{\tan{\left(x \right)}}}{\cos^{2}{\left(x \right)}}\, dx$$
Simplify
Numerical answer [src] 
1.2957231782261
1.2957231782261

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

    © Mister Exam – Calculator