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Solving integrals/ sin(x)/(x^2-4x+5)

Integral of sin(x)/(x^2-4x+5) dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src] 
  1                
  /                
 |                 
 |     sin(x)      
 |  ------------ dx
 |   2             
 |  x  - 4*x + 5   
 |                 
/                  
0
$$\int\limits_{0}^{1} \frac{\sin{\left(x \right)}}{\left(x^{2} - 4 x\right) + 5}\, dx$$ 
Integral(sin(x)/(x^2 - 4*x + 5), (x, 0, 1))
The answer (Indefinite) [src] 
  /                        /               
 |                        |                
 |    sin(x)              |    sin(x)      
 | ------------ dx = C +  | ------------ dx
 |  2                     |      2         
 | x  - 4*x + 5           | 5 + x  - 4*x   
 |                        |                
/                        /
$$\int \frac{\sin{\left(x \right)}}{\left(x^{2} - 4 x\right) + 5}\, dx = C + \int \frac{\sin{\left(x \right)}}{x^{2} - 4 x + 5}\, dx$$
Simplify
The answer [src] 
  1                
  /                
 |                 
 |     sin(x)      
 |  ------------ dx
 |       2         
 |  5 + x  - 4*x   
 |                 
/                  
0
$$\int\limits_{0}^{1} \frac{\sin{\left(x \right)}}{x^{2} - 4 x + 5}\, dx$$ 
=
= 
  1                
  /                
 |                 
 |     sin(x)      
 |  ------------ dx
 |       2         
 |  5 + x  - 4*x   
 |                 
/                  
0
$$\int\limits_{0}^{1} \frac{\sin{\left(x \right)}}{x^{2} - 4 x + 5}\, dx$$ 
Integral(sin(x)/(5 + x^2 - 4*x), (x, 0, 1))
Numerical answer [src] 
0.168634800067631
0.168634800067631

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

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