Mister Exam

Other calculators

Integral of sqrt(sinx)/sqrt(cosx) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1              
  /              
 |               
 |    ________   
 |  \/ sin(x)    
 |  ---------- dx
 |    ________   
 |  \/ cos(x)    
 |               
/                
0                
$$\int\limits_{0}^{1} \frac{\sqrt{\sin{\left(x \right)}}}{\sqrt{\cos{\left(x \right)}}}\, dx$$
The answer (Indefinite) [src]
  /                      /             
 |                      |              
 |   ________           |   ________   
 | \/ sin(x)            | \/ sin(x)    
 | ---------- dx = C +  | ---------- dx
 |   ________           |   ________   
 | \/ cos(x)            | \/ cos(x)    
 |                      |              
/                      /               
$$\int {{{\sqrt{\sin x}}\over{\sqrt{\cos x}}}}{\;dx}$$
The answer [src]
  1              
  /              
 |               
 |    ________   
 |  \/ sin(x)    
 |  ---------- dx
 |    ________   
 |  \/ cos(x)    
 |               
/                
0                
$$\int_{0}^{1}{{{\sqrt{\sin x}}\over{\sqrt{\cos x}}}\;dx}$$
=
=
  1              
  /              
 |               
 |    ________   
 |  \/ sin(x)    
 |  ---------- dx
 |    ________   
 |  \/ cos(x)    
 |               
/                
0                
$$\int\limits_{0}^{1} \frac{\sqrt{\sin{\left(x \right)}}}{\sqrt{\cos{\left(x \right)}}}\, dx$$
Numerical answer [src]
0.727298249343511
0.727298249343511

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