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Solving integrals/ sgrt(ctg(7x))/sin^2(7x)

Integral of sgrt(ctg(7x))/sin^2(7x) dx

Limits of integration:

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Piecewise:

The solution

You have entered [src] 
  1                
  /                
 |                 
 |    __________   
 |  \/ cot(7*x)    
 |  ------------ dx
 |      2          
 |   sin (7*x)     
 |                 
/                  
0
$$\int\limits_{0}^{1} \frac{\sqrt{\cot{\left(7 x \right)}}}{\sin^{2}{\left(7 x \right)}}\, dx$$ 
Integral(sqrt(cot(7*x))/sin(7*x)^2, (x, 0, 1))
The answer (Indefinite) [src] 
  /                        /               
 |                        |                
 |   __________           |   __________   
 | \/ cot(7*x)            | \/ cot(7*x)    
 | ------------ dx = C +  | ------------ dx
 |     2                  |     2          
 |  sin (7*x)             |  sin (7*x)     
 |                        |                
/                        /
$$\int \frac{\sqrt{\cot{\left(7 x \right)}}}{\sin^{2}{\left(7 x \right)}}\, dx = C + \int \frac{\sqrt{\cot{\left(7 x \right)}}}{\sin^{2}{\left(7 x \right)}}\, dx$$
Simplify
The answer [src] 
  1                
  /                
 |                 
 |    __________   
 |  \/ cot(7*x)    
 |  ------------ dx
 |      2          
 |   sin (7*x)     
 |                 
/                  
0
$$\int\limits_{0}^{1} \frac{\sqrt{\cot{\left(7 x \right)}}}{\sin^{2}{\left(7 x \right)}}\, dx$$ 
=
= 
  1                
  /                
 |                 
 |    __________   
 |  \/ cot(7*x)    
 |  ------------ dx
 |      2          
 |   sin (7*x)     
 |                 
/                  
0
$$\int\limits_{0}^{1} \frac{\sqrt{\cot{\left(7 x \right)}}}{\sin^{2}{\left(7 x \right)}}\, dx$$ 
Integral(sqrt(cot(7*x))/sin(7*x)^2, (x, 0, 1))
Numerical answer [src] 
(2.59621380565653e+26 + 419.217417289357j)
(2.59621380565653e+26 + 419.217417289357j)

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

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