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(7x-2)/(sqrt(x^(2)+5x+1))

Integral of (7x-2)/(sqrt(x^(2)+5x+1)) dx

Limits of integration:

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Piecewise:

The solution

You have entered [src]
  0                     
  /                     
 |                      
 |       7*x - 2        
 |  ----------------- dx
 |     ______________   
 |    /  2              
 |  \/  x  + 5*x + 1    
 |                      
/                       
0                       
$$\int\limits_{0}^{0} \frac{7 x - 2}{\sqrt{x^{2} + 5 x + 1}}\, dx$$
Integral((7*x - 1*2)/(sqrt(x^2 + 5*x + 1)), (x, 0, 0))
The answer (Indefinite) [src]
  /                                                       /               ______________\
 |                                 ______________         |              /      2       |
 |      7*x - 2                   /      2          39*log\5 + 2*x + 2*\/  1 + x  + 5*x /
 | ----------------- dx = C + 7*\/  1 + x  + 5*x  - -------------------------------------
 |    ______________                                                  2                  
 |   /  2                                                                                
 | \/  x  + 5*x + 1                                                                      
 |                                                                                       
/                                                                                        
$$7\,\sqrt{x^2+5\,x+1}-{{39\,\log \left(2\,\sqrt{x^2+5\,x+1}+2\,x+5 \right)}\over{2}}$$
The graph
The answer [src]
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Numerical answer [src]
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The graph
Integral of (7x-2)/(sqrt(x^(2)+5x+1)) dx

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