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Solving integrals/ (5^x)/(sin(5x)^2)

Integral of (5^x)/(sin(5x)^2) dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src] 
  1             
  /             
 |              
 |       x      
 |      5       
 |  --------- dx
 |     2        
 |  sin (5*x)   
 |              
/               
0
$$\int\limits_{0}^{1} \frac{5^{x}}{\sin^{2}{\left(5 x \right)}}\, dx$$ 
Integral(5^x/(sin(5*x)^2), (x, 0, 1))
The answer (Indefinite) [src] 
  /                     /            
 |                     |             
 |      x              |      x      
 |     5               |     5       
 | --------- dx = C +  | --------- dx
 |    2                |    2        
 | sin (5*x)           | sin (5*x)   
 |                     |             
/                     /
$$\int \frac{5^{x}}{\sin^{2}{\left(5 x \right)}}\, dx = C + \int \frac{5^{x}}{\sin^{2}{\left(5 x \right)}}\, dx$$
Simplify
The answer [src] 
  1             
  /             
 |              
 |       x      
 |      5       
 |  --------- dx
 |     2        
 |  sin (5*x)   
 |              
/               
0
$$\int\limits_{0}^{1} \frac{5^{x}}{\sin^{2}{\left(5 x \right)}}\, dx$$ 
=
= 
  1             
  /             
 |              
 |       x      
 |      5       
 |  --------- dx
 |     2        
 |  sin (5*x)   
 |              
/               
0
$$\int\limits_{0}^{1} \frac{5^{x}}{\sin^{2}{\left(5 x \right)}}\, dx$$
Упростить
Numerical answer [src] 
5.51729471179439e+17
5.51729471179439e+17

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

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