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Solving integrals/ 1/(x^2+5x)

Integral of 1/(x^2+5x) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1              
  /              
 |               
 |       1       
 |  1*-------- dx
 |     2         
 |    x  + 5*x   
 |               
/                
0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{x^{2} + 5 x}\, dx$$ 
Integral(1/(x^2 + 5*x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                            
 |                                             
 |      1              log(10 + 2*x)   log(2*x)
 | 1*-------- dx = C - ------------- + --------
 |    2                      5            5    
 |   x  + 5*x                                  
 |                                             
/
$$\int 1 \cdot \frac{1}{x^{2} + 5 x}\, dx = C + \frac{\log{\left(2 x \right)}}{5} - \frac{\log{\left(2 x + 10 \right)}}{5}$$
Simplify
The answer [src] 
oo
$$\infty$$ 
=
= 
oo
$$\infty$$
Упростить
Numerical answer [src] 
8.78162491543979
8.78162491543979

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

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