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(x-7)/((4x^2)+3x-1)

Integral of (x-7)/((4x^2)+3x-1) dx

Limits of integration:

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The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                  
  /                  
 |                   
 |      x - 7        
 |  -------------- dx
 |     2             
 |  4*x  + 3*x - 1   
 |                   
/                    
0                    
$$\int\limits_{0}^{1} \frac{x - 7}{4 x^{2} + 3 x - 1}\, dx$$
Integral((x - 1*7)/(4*x^2 + 3*x - 1*1), (x, 0, 1))
The answer (Indefinite) [src]
  /                                                       
 |                                                        
 |     x - 7               27*log(-1 + 4*x)   8*log(1 + x)
 | -------------- dx = C - ---------------- + ------------
 |    2                           20               5      
 | 4*x  + 3*x - 1                                         
 |                                                        
/                                                         
$${{8\,\log \left(x+1\right)}\over{5}}-{{27\,\log \left(4\,x-1\right) }\over{20}}$$
The graph
The answer [src]
nan
$${{8\,\log 2}\over{5}}-{{27\,\log 3}\over{20}}$$
=
=
nan
$$\text{NaN}$$
Numerical answer [src]
25.3588080607208
25.3588080607208
The graph
Integral of (x-7)/((4x^2)+3x-1) dx

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