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Integral of 3^(ctg2x)/((sin2x)^2) dx

Limits of integration:

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Piecewise:

The solution

You have entered [src]
  1             
  /             
 |              
 |   cot(2*x)   
 |  3           
 |  --------- dx
 |     2        
 |  sin (2*x)   
 |              
/               
0               
013cot(2x)sin2(2x)dx\int\limits_{0}^{1} \frac{3^{\cot{\left(2 x \right)}}}{\sin^{2}{\left(2 x \right)}}\, dx
Integral(3^cot(2*x)/(sin(2*x)^2), (x, 0, 1))
The answer (Indefinite) [src]
  /                     /            
 |                     |             
 |  cot(2*x)           |  cot(2*x)   
 | 3                   | 3           
 | --------- dx = C +  | --------- dx
 |    2                |    2        
 | sin (2*x)           | sin (2*x)   
 |                     |             
/                     /              
31tan(2x)2log3-{{3^{{{1}\over{\tan \left(2\,x\right)}}}}\over{2\,\log 3}}
The answer [src]
  1             
  /             
 |              
 |   cot(2*x)   
 |  3           
 |  --------- dx
 |     2        
 |  sin (2*x)   
 |              
/               
0               
%a{\it \%a}
=
=
  1             
  /             
 |              
 |   cot(2*x)   
 |  3           
 |  --------- dx
 |     2        
 |  sin (2*x)   
 |              
/               
0               
013cot(2x)sin2(2x)dx\int\limits_{0}^{1} \frac{3^{\cot{\left(2 x \right)}}}{\sin^{2}{\left(2 x \right)}}\, dx
Numerical answer [src]
3.43261889213809e+37
3.43261889213809e+37

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